{
  "args": {
    "variant_name": "pilot_cyclic_mixer",
    "seed": 83,
    "device": "auto",
    "modulus": 11,
    "observe_mod": 4,
    "observe_prob": 0.3,
    "op_family": "full",
    "query_family": "all",
    "slot_capacity": 11,
    "init_mode": "oracle",
    "transition_mode": "cyclic_mixer",
    "supervision": "full_belief",
    "slot_dim": 64,
    "hidden_dim": 128,
    "fourier_order": 8,
    "init_logit_scale": 8.0,
    "temperature": 1.0,
    "train_min_len": 1,
    "train_max_len": 6,
    "eval_lengths": "3,6,9,12",
    "eval_k": "0,1,2,3,6,9,12",
    "eval_query_types": "all",
    "train_steps": 600,
    "batch_size": 256,
    "eval_batch_size": 256,
    "eval_examples": 512,
    "lr": 0.001,
    "weight_decay": 0.0001,
    "belief_loss_weight": 1.0,
    "query_loss_weight": 0.0,
    "slot_entropy_weight": 0.0,
    "max_grad_norm": 1.0,
    "log_every": 100,
    "output_dir": "experiments/cyclic_transition_ladder/runs/pilot_cyclic_mixer",
    "checkpoint_dir": "large_artifacts/cyclic_transition_ladder/checkpoints/pilot_cyclic_mixer"
  },
  "train": [
    {
      "step": 1,
      "loss": 4.3268656730651855,
      "grad_norm": 0.33420854806900024,
      "elapsed_seconds": 0.6699304580688477,
      "mean_slot_purity": 0.06216979771852493,
      "mean_weight_entropy": 1.3904738426208496,
      "mean_route_entropy": 1.5587432384490967,
      "mean_route_accuracy": 0.265625,
      "belief_loss": 4.3268656730651855,
      "decoder_belief_target_mass": 0.08475678414106369,
      "decoder_belief_target_nll": 4.83196496963501,
      "decoder_belief_top1_on_support": 0.15625,
      "mean_decoder_belief_support_size": 5.5234375,
      "decoder_query_target_mass": 0.4501434862613678,
      "decoder_query_target_nll": 2.4911580085754395,
      "decoder_query_top1_on_support": 0.4921875,
      "mean_decoder_query_support_size": 4.734375
    },
    {
      "step": 100,
      "loss": 1.7641557455062866,
      "grad_norm": 0.003200776409357786,
      "elapsed_seconds": 25.796892166137695,
      "mean_slot_purity": 0.7617790102958679,
      "mean_weight_entropy": 1.3668652772903442,
      "mean_route_entropy": 0.04984264075756073,
      "mean_route_accuracy": 0.9114583730697632,
      "belief_loss": 1.7641557455062866,
      "decoder_belief_target_mass": 0.9993330836296082,
      "decoder_belief_target_nll": 1.366769552230835,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.390625,
      "decoder_query_target_mass": 0.9996570348739624,
      "decoder_query_target_nll": 1.153226375579834,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 4.7265625
    },
    {
      "step": 200,
      "loss": 1.6926147937774658,
      "grad_norm": 0.0012312517501413822,
      "elapsed_seconds": 51.10698699951172,
      "mean_slot_purity": 0.7356207370758057,
      "mean_weight_entropy": 1.411482572555542,
      "mean_route_entropy": 0.05178641900420189,
      "mean_route_accuracy": 0.9049479365348816,
      "belief_loss": 1.6926147937774658,
      "decoder_belief_target_mass": 0.9996963739395142,
      "decoder_belief_target_nll": 1.4114415645599365,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.58984375,
      "decoder_query_target_mass": 0.999855637550354,
      "decoder_query_target_nll": 1.215998649597168,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 5.0234375
    },
    {
      "step": 300,
      "loss": 1.7841767072677612,
      "grad_norm": 0.0008957271347753704,
      "elapsed_seconds": 76.55585741996765,
      "mean_slot_purity": 0.7403323650360107,
      "mean_weight_entropy": 1.4064083099365234,
      "mean_route_entropy": 0.04186946526169777,
      "mean_route_accuracy": 0.9049479365348816,
      "belief_loss": 1.7841767072677612,
      "decoder_belief_target_mass": 0.9997639656066895,
      "decoder_belief_target_nll": 1.4062411785125732,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.359375,
      "decoder_query_target_mass": 0.9998711943626404,
      "decoder_query_target_nll": 1.1479907035827637,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 4.5234375
    },
    {
      "step": 400,
      "loss": 1.7865337133407593,
      "grad_norm": 0.0006567201344296336,
      "elapsed_seconds": 102.24534797668457,
      "mean_slot_purity": 0.7585922479629517,
      "mean_weight_entropy": 1.4266276359558105,
      "mean_route_entropy": 0.03796268254518509,
      "mean_route_accuracy": 0.9114583730697632,
      "belief_loss": 1.7865337133407593,
      "decoder_belief_target_mass": 0.9998328685760498,
      "decoder_belief_target_nll": 1.4265289306640625,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.68359375,
      "decoder_query_target_mass": 0.9999256134033203,
      "decoder_query_target_nll": 1.222022533416748,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 4.984375
    },
    {
      "step": 500,
      "loss": 1.7801902294158936,
      "grad_norm": 0.00046406142064370215,
      "elapsed_seconds": 127.18951177597046,
      "mean_slot_purity": 0.7592248916625977,
      "mean_weight_entropy": 1.4525192975997925,
      "mean_route_entropy": 0.041455890983343124,
      "mean_route_accuracy": 0.9166666865348816,
      "belief_loss": 1.7801902294158936,
      "decoder_belief_target_mass": 0.999883770942688,
      "decoder_belief_target_nll": 1.4524497985839844,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.828125,
      "decoder_query_target_mass": 0.9999375343322754,
      "decoder_query_target_nll": 1.2141103744506836,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 5.0703125
    },
    {
      "step": 600,
      "loss": 1.7469172477722168,
      "grad_norm": 0.000322245730785653,
      "elapsed_seconds": 152.63121676445007,
      "mean_slot_purity": 0.7397991418838501,
      "mean_weight_entropy": 1.4061146974563599,
      "mean_route_entropy": 0.034933559596538544,
      "mean_route_accuracy": 0.9244791865348816,
      "belief_loss": 1.7469172477722168,
      "decoder_belief_target_mass": 0.9999235272407532,
      "decoder_belief_target_nll": 1.4061025381088257,
      "decoder_belief_top1_on_support": 1.0,
      "mean_decoder_belief_support_size": 5.64453125,
      "decoder_query_target_mass": 0.9999620914459229,
      "decoder_query_target_nll": 1.1256961822509766,
      "decoder_query_top1_on_support": 1.0,
      "mean_decoder_query_support_size": 4.703125
    }
  ],
  "eval": [
    {
      "step": 600,
      "rows": [
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.46342329680919647,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.478515625,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.06605108827352524,
          "decoder_belief_target_nll": 15.732054233551025,
          "decoder_belief_top1_on_support": 0.1015625,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.5811040699481964,
          "decoder_query_target_nll": 4.2459142208099365,
          "decoder_query_top1_on_support": 0.576171875,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.15382462739944458,
          "decoder_belief_target_nll": 13.46819543838501,
          "decoder_belief_top1_on_support": 0.185546875,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.8649714291095734,
          "mean_slot_entropy": 0.2115653157234192,
          "mean_weight_entropy": 1.9719489216804504,
          "mean_route_entropy": 0.038052087649703026,
          "mean_route_accuracy": 0.9127604365348816,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.71852907538414,
          "decoder_query_target_nll": 3.729315996170044,
          "decoder_query_top1_on_support": 0.70703125,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.2720089256763458,
          "decoder_belief_target_nll": 10.086863040924072,
          "decoder_belief_top1_on_support": 0.3046875,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.800503134727478,
          "mean_slot_entropy": 0.361917644739151,
          "mean_weight_entropy": 1.7083924412727356,
          "mean_route_entropy": 0.03737914003431797,
          "mean_route_accuracy": 0.9075521230697632,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.9999761283397675,
          "decoder_query_target_nll": 1.2583292126655579,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.9999210834503174,
          "decoder_belief_target_nll": 1.481641411781311,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.7591677606105804,
          "mean_slot_entropy": 0.4877823144197464,
          "mean_weight_entropy": 1.4816566705703735,
          "mean_route_entropy": 0.03461603447794914,
          "mean_route_accuracy": 0.904947966337204,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999761283397675,
          "decoder_query_target_nll": 1.2583292126655579,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.9999210834503174,
          "decoder_belief_target_nll": 1.481641411781311,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.7591677606105804,
          "mean_slot_entropy": 0.4877823144197464,
          "mean_weight_entropy": 1.4816566705703735,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999761283397675,
          "decoder_query_target_nll": 1.2583292126655579,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.9999210834503174,
          "decoder_belief_target_nll": 1.481641411781311,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.7591677606105804,
          "mean_slot_entropy": 0.4877823144197464,
          "mean_weight_entropy": 1.4816566705703735,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9999761283397675,
          "decoder_query_target_nll": 1.2583292126655579,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.09765625,
          "decoder_belief_target_mass": 0.9999210834503174,
          "decoder_belief_target_nll": 1.481641411781311,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.849609375,
          "mean_slot_purity": 0.7591677606105804,
          "mean_slot_entropy": 0.4877823144197464,
          "mean_weight_entropy": 1.4816566705703735,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.849609375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.455078125,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.451171875,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.07120022177696228,
          "decoder_belief_target_nll": 15.447587013244629,
          "decoder_belief_top1_on_support": 0.119140625,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.5561980903148651,
          "decoder_query_target_nll": 3.99589741230011,
          "decoder_query_top1_on_support": 0.529296875,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.14057376235723495,
          "decoder_belief_target_nll": 13.422767162322998,
          "decoder_belief_top1_on_support": 0.17578125,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.8855969309806824,
          "mean_slot_entropy": 0.18321793526411057,
          "mean_weight_entropy": 2.059308886528015,
          "mean_route_entropy": 0.036246929317712784,
          "mean_route_accuracy": 0.901041716337204,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.7325851917266846,
          "decoder_query_target_nll": 3.7035019397735596,
          "decoder_query_top1_on_support": 0.72265625,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.2640009820461273,
          "decoder_belief_target_nll": 10.374733448028564,
          "decoder_belief_top1_on_support": 0.3046875,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.8084206879138947,
          "mean_slot_entropy": 0.3645893782377243,
          "mean_weight_entropy": 1.703066110610962,
          "mean_route_entropy": 0.036392683163285255,
          "mean_route_accuracy": 0.9147135615348816,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.9999779462814331,
          "decoder_query_target_nll": 1.2284314632415771,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.999923050403595,
          "decoder_belief_target_nll": 1.500509262084961,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.7689887881278992,
          "mean_slot_entropy": 0.48024918138980865,
          "mean_weight_entropy": 1.5005358457565308,
          "mean_route_entropy": 0.03709682635962963,
          "mean_route_accuracy": 0.9029948115348816,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999779164791107,
          "decoder_query_target_nll": 1.2284314632415771,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.999923050403595,
          "decoder_belief_target_nll": 1.500509262084961,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.7689887881278992,
          "mean_slot_entropy": 0.48024918138980865,
          "mean_weight_entropy": 1.5005358457565308,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999779164791107,
          "decoder_query_target_nll": 1.2284314632415771,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.999923050403595,
          "decoder_belief_target_nll": 1.500509262084961,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.7689887881278992,
          "mean_slot_entropy": 0.48024918138980865,
          "mean_weight_entropy": 1.5005358457565308,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9999779164791107,
          "decoder_query_target_nll": 1.2284314632415771,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.005859375,
          "decoder_belief_target_mass": 0.999923050403595,
          "decoder_belief_target_nll": 1.500509262084961,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 5.912109375,
          "mean_slot_purity": 0.7689887881278992,
          "mean_slot_entropy": 0.48024918138980865,
          "mean_weight_entropy": 1.5005358457565308,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 5.912109375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.5324928760528564,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.525390625,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.06409797258675098,
          "decoder_belief_target_nll": 15.616546154022217,
          "decoder_belief_top1_on_support": 0.09765625,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.5569671094417572,
          "decoder_query_target_nll": 4.249665379524231,
          "decoder_query_top1_on_support": 0.5625,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.16453692317008972,
          "decoder_belief_target_nll": 13.315278053283691,
          "decoder_belief_top1_on_support": 0.1875,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.8769565224647522,
          "mean_slot_entropy": 0.19495148956775665,
          "mean_weight_entropy": 2.0218923091888428,
          "mean_route_entropy": 0.038714103400707245,
          "mean_route_accuracy": 0.908854216337204,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.6029822826385498,
          "decoder_query_target_nll": 5.040880918502808,
          "decoder_query_top1_on_support": 0.607421875,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.2755713015794754,
          "decoder_belief_target_nll": 10.406882286071777,
          "decoder_belief_top1_on_support": 0.310546875,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.8128247559070587,
          "mean_slot_entropy": 0.3540172278881073,
          "mean_weight_entropy": 1.7280946373939514,
          "mean_route_entropy": 0.03646400198340416,
          "mean_route_accuracy": 0.9225260615348816,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.9999622404575348,
          "decoder_query_target_nll": 1.452294111251831,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.999923586845398,
          "decoder_belief_target_nll": 1.549500584602356,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.7766422033309937,
          "mean_slot_entropy": 0.4626328647136688,
          "mean_weight_entropy": 1.5495113134384155,
          "mean_route_entropy": 0.03519155643880367,
          "mean_route_accuracy": 0.9160156548023224,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999622404575348,
          "decoder_query_target_nll": 1.452294111251831,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.999923586845398,
          "decoder_belief_target_nll": 1.549500584602356,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.7766422033309937,
          "mean_slot_entropy": 0.4626328647136688,
          "mean_weight_entropy": 1.5495113134384155,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999622404575348,
          "decoder_query_target_nll": 1.4522941708564758,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.999923586845398,
          "decoder_belief_target_nll": 1.549500584602356,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.7766422033309937,
          "mean_slot_entropy": 0.4626328647136688,
          "mean_weight_entropy": 1.5495113134384155,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_PLUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9999622404575348,
          "decoder_query_target_nll": 1.452294111251831,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 5.857421875,
          "decoder_belief_target_mass": 0.999923586845398,
          "decoder_belief_target_nll": 1.549500584602356,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.25390625,
          "mean_slot_purity": 0.7766422033309937,
          "mean_slot_entropy": 0.4626328647136688,
          "mean_weight_entropy": 1.5495113134384155,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.25390625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.47265617549419403,
          "decoder_query_target_nll": 13.3654146194458,
          "decoder_query_top1_on_support": 0.47265625,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.06409796886146069,
          "decoder_belief_target_nll": 15.763309478759766,
          "decoder_belief_top1_on_support": 0.107421875,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.5110059380531311,
          "decoder_query_target_nll": 7.775686979293823,
          "decoder_query_top1_on_support": 0.521484375,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.17264306545257568,
          "decoder_belief_target_nll": 13.123241424560547,
          "decoder_belief_top1_on_support": 0.205078125,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.8689948916435242,
          "mean_slot_entropy": 0.20997073501348495,
          "mean_weight_entropy": 2.0112563967704773,
          "mean_route_entropy": 0.03657582402229309,
          "mean_route_accuracy": 0.9042969048023224,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.5781168341636658,
          "decoder_query_target_nll": 6.066074848175049,
          "decoder_query_top1_on_support": 0.583984375,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.3002241551876068,
          "decoder_belief_target_nll": 9.958195686340332,
          "decoder_belief_top1_on_support": 0.34375,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.7988756000995636,
          "mean_slot_entropy": 0.38586199283599854,
          "mean_weight_entropy": 1.720159649848938,
          "mean_route_entropy": 0.03630131110548973,
          "mean_route_accuracy": 0.9108073115348816,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.9999567568302155,
          "decoder_query_target_nll": 1.1430936455726624,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.9999260902404785,
          "decoder_belief_target_nll": 1.5218290090560913,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.7590200304985046,
          "mean_slot_entropy": 0.5141240805387497,
          "mean_weight_entropy": 1.521838665008545,
          "mean_route_entropy": 0.03658461011946201,
          "mean_route_accuracy": 0.9082031548023224,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999567568302155,
          "decoder_query_target_nll": 1.1430936455726624,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.9999260902404785,
          "decoder_belief_target_nll": 1.5218290090560913,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.7590200304985046,
          "mean_slot_entropy": 0.5141240805387497,
          "mean_weight_entropy": 1.521838665008545,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999567568302155,
          "decoder_query_target_nll": 1.1430936455726624,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.9999260902404785,
          "decoder_belief_target_nll": 1.5218290090560913,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.7590200304985046,
          "mean_slot_entropy": 0.5141240805387497,
          "mean_weight_entropy": 1.521838665008545,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 3,
          "query_type": "A_MINUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9999567568302155,
          "decoder_query_target_nll": 1.1430936455726624,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 4.90625,
          "decoder_belief_target_mass": 0.9999260902404785,
          "decoder_belief_target_nll": 1.5218290090560913,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 6.041015625,
          "mean_slot_purity": 0.7590200304985046,
          "mean_slot_entropy": 0.5141240805387497,
          "mean_weight_entropy": 1.521838665008545,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 6.041015625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.2736150622367859,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.28515625,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.030894880183041096,
          "decoder_belief_target_nll": 16.201786994934082,
          "decoder_belief_top1_on_support": 0.041015625,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.3024226278066635,
          "decoder_query_target_nll": 5.803061246871948,
          "decoder_query_top1_on_support": 0.298828125,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.03899579681456089,
          "decoder_belief_target_nll": 15.803784847259521,
          "decoder_belief_top1_on_support": 0.037109375,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.861420214176178,
          "mean_slot_entropy": 0.22244342416524887,
          "mean_weight_entropy": 1.9909549951553345,
          "mean_route_entropy": 0.036847613751888275,
          "mean_route_accuracy": 0.9088541865348816,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.3282059133052826,
          "decoder_query_target_nll": 7.053324937820435,
          "decoder_query_top1_on_support": 0.337890625,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.05403316579759121,
          "decoder_belief_target_nll": 15.509221076965332,
          "decoder_belief_top1_on_support": 0.068359375,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.7883544564247131,
          "mean_slot_entropy": 0.40201932191848755,
          "mean_weight_entropy": 1.6638816595077515,
          "mean_route_entropy": 0.0360099021345377,
          "mean_route_accuracy": 0.9205729365348816,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.3798725754022598,
          "decoder_query_target_nll": 6.8733649253845215,
          "decoder_query_top1_on_support": 0.400390625,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.07271694205701351,
          "decoder_belief_target_nll": 14.872059345245361,
          "decoder_belief_top1_on_support": 0.0859375,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.7491372227668762,
          "mean_slot_entropy": 0.5351313054561615,
          "mean_weight_entropy": 1.4798333644866943,
          "mean_route_entropy": 0.03366175666451454,
          "mean_route_accuracy": 0.8971354365348816,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999260008335114,
          "decoder_query_target_nll": 0.7840504944324493,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.999817818403244,
          "decoder_belief_target_nll": 0.9942916035652161,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.6649652719497681,
          "mean_slot_entropy": 0.8520387709140778,
          "mean_weight_entropy": 0.9944340586662292,
          "mean_route_entropy": 0.03903951868414879,
          "mean_route_accuracy": 0.9049479365348816,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999260008335114,
          "decoder_query_target_nll": 0.7840504944324493,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.999817818403244,
          "decoder_belief_target_nll": 0.9942916035652161,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.6649652719497681,
          "mean_slot_entropy": 0.8520387709140778,
          "mean_weight_entropy": 0.9944340586662292,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.999925971031189,
          "decoder_query_target_nll": 0.7840504944324493,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.009765625,
          "decoder_belief_target_mass": 0.999817818403244,
          "decoder_belief_target_nll": 0.9942916035652161,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.615234375,
          "mean_slot_purity": 0.6649652719497681,
          "mean_slot_entropy": 0.8520387709140778,
          "mean_weight_entropy": 0.9944340586662292,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.615234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.29367896914482117,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.29296875,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.031427549198269844,
          "decoder_belief_target_nll": 16.20088005065918,
          "decoder_belief_top1_on_support": 0.025390625,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.315632700920105,
          "decoder_query_target_nll": 5.53607964515686,
          "decoder_query_top1_on_support": 0.33984375,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.04212585650384426,
          "decoder_belief_target_nll": 15.600451469421387,
          "decoder_belief_top1_on_support": 0.05859375,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.8646464347839355,
          "mean_slot_entropy": 0.21523196250200272,
          "mean_weight_entropy": 1.98890221118927,
          "mean_route_entropy": 0.03467470221221447,
          "mean_route_accuracy": 0.9153646230697632,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.3621430993080139,
          "decoder_query_target_nll": 6.428965091705322,
          "decoder_query_top1_on_support": 0.359375,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.057532452046871185,
          "decoder_belief_target_nll": 15.219616889953613,
          "decoder_belief_top1_on_support": 0.064453125,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.8074749708175659,
          "mean_slot_entropy": 0.35076816380023956,
          "mean_weight_entropy": 1.7366936802864075,
          "mean_route_entropy": 0.036657530814409256,
          "mean_route_accuracy": 0.9153645932674408,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.4011109173297882,
          "decoder_query_target_nll": 6.771631717681885,
          "decoder_query_top1_on_support": 0.396484375,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.08152305334806442,
          "decoder_belief_target_nll": 14.306610107421875,
          "decoder_belief_top1_on_support": 0.08984375,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.7634541094303131,
          "mean_slot_entropy": 0.4857544004917145,
          "mean_weight_entropy": 1.5041685700416565,
          "mean_route_entropy": 0.03880104050040245,
          "mean_route_accuracy": 0.9134114682674408,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9999369978904724,
          "decoder_query_target_nll": 0.8417308330535889,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.9998249113559723,
          "decoder_belief_target_nll": 1.0146706104278564,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.672286868095398,
          "mean_slot_entropy": 0.8049561679363251,
          "mean_weight_entropy": 1.0148427486419678,
          "mean_route_entropy": 0.036517905071377754,
          "mean_route_accuracy": 0.9153645932674408,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9999369978904724,
          "decoder_query_target_nll": 0.8417308032512665,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.9998249113559723,
          "decoder_belief_target_nll": 1.0146706104278564,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.672286868095398,
          "mean_slot_entropy": 0.8049561679363251,
          "mean_weight_entropy": 1.0148427486419678,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9999369978904724,
          "decoder_query_target_nll": 0.8417308330535889,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.23046875,
          "decoder_belief_target_mass": 0.9998249113559723,
          "decoder_belief_target_nll": 1.0146706104278564,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.689453125,
          "mean_slot_purity": 0.672286868095398,
          "mean_slot_entropy": 0.8049561679363251,
          "mean_weight_entropy": 1.0148427486419678,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.689453125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.2926136404275894,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.302734375,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.028409086167812347,
          "decoder_belief_target_nll": 16.214017868041992,
          "decoder_belief_top1_on_support": 0.037109375,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.2889503538608551,
          "decoder_query_target_nll": 5.140108585357666,
          "decoder_query_top1_on_support": 0.28125,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.046817841939628124,
          "decoder_belief_target_nll": 15.612663269042969,
          "decoder_belief_top1_on_support": 0.05859375,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.8513883352279663,
          "mean_slot_entropy": 0.23710431903600693,
          "mean_weight_entropy": 1.953376054763794,
          "mean_route_entropy": 0.0365065261721611,
          "mean_route_accuracy": 0.9199219048023224,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.28702493011951447,
          "decoder_query_target_nll": 6.5423665046691895,
          "decoder_query_top1_on_support": 0.298828125,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.05773444101214409,
          "decoder_belief_target_nll": 15.360416889190674,
          "decoder_belief_top1_on_support": 0.072265625,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.7853195667266846,
          "mean_slot_entropy": 0.3925769776105881,
          "mean_weight_entropy": 1.6847350001335144,
          "mean_route_entropy": 0.037966618314385414,
          "mean_route_accuracy": 0.910807341337204,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.30355115234851837,
          "decoder_query_target_nll": 7.239069938659668,
          "decoder_query_top1_on_support": 0.310546875,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.09416741505265236,
          "decoder_belief_target_nll": 14.474638938903809,
          "decoder_belief_top1_on_support": 0.103515625,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.7413246631622314,
          "mean_slot_entropy": 0.5357793569564819,
          "mean_weight_entropy": 1.4555832147598267,
          "mean_route_entropy": 0.03821306489408016,
          "mean_route_accuracy": 0.9153646230697632,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9998685717582703,
          "decoder_query_target_nll": 0.88442063331604,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.9998256862163544,
          "decoder_belief_target_nll": 0.9564820528030396,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.6435464024543762,
          "mean_slot_entropy": 0.8983678221702576,
          "mean_weight_entropy": 0.9566570222377777,
          "mean_route_entropy": 0.035959942266345024,
          "mean_route_accuracy": 0.9055989682674408,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9998685717582703,
          "decoder_query_target_nll": 0.88442063331604,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.9998256862163544,
          "decoder_belief_target_nll": 0.9564820528030396,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.6435464024543762,
          "mean_slot_entropy": 0.8983678221702576,
          "mean_weight_entropy": 0.9566570222377777,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_PLUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9998685717582703,
          "decoder_query_target_nll": 0.88442063331604,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.21875,
          "decoder_belief_target_mass": 0.9998256862163544,
          "decoder_belief_target_nll": 0.9564820528030396,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.38671875,
          "mean_slot_purity": 0.6435464024543762,
          "mean_slot_entropy": 0.8983678221702576,
          "mean_weight_entropy": 0.9566570222377777,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.38671875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.3242186903953552,
          "decoder_query_target_nll": 13.719185829162598,
          "decoder_query_top1_on_support": 0.32421875,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.03391334135085344,
          "decoder_belief_target_nll": 16.11708164215088,
          "decoder_belief_top1_on_support": 0.029296875,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.3224441707134247,
          "decoder_query_target_nll": 8.795012950897217,
          "decoder_query_top1_on_support": 0.32421875,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.04604265093803406,
          "decoder_belief_target_nll": 15.5967435836792,
          "decoder_belief_top1_on_support": 0.048828125,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.866096705198288,
          "mean_slot_entropy": 0.2134692445397377,
          "mean_weight_entropy": 1.9963542819023132,
          "mean_route_entropy": 0.038256241008639336,
          "mean_route_accuracy": 0.9049479365348816,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.31051529943943024,
          "decoder_query_target_nll": 8.10930061340332,
          "decoder_query_top1_on_support": 0.314453125,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.06509911641478539,
          "decoder_belief_target_nll": 15.056437015533447,
          "decoder_belief_top1_on_support": 0.072265625,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.7989462316036224,
          "mean_slot_entropy": 0.36903703212738037,
          "mean_weight_entropy": 1.6899805068969727,
          "mean_route_entropy": 0.03799803368747234,
          "mean_route_accuracy": 0.9127604365348816,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.33749713003635406,
          "decoder_query_target_nll": 7.805681228637695,
          "decoder_query_top1_on_support": 0.33203125,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.09146817401051521,
          "decoder_belief_target_nll": 14.404307842254639,
          "decoder_belief_top1_on_support": 0.09375,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.7609699964523315,
          "mean_slot_entropy": 0.48304492235183716,
          "mean_weight_entropy": 1.4839564561843872,
          "mean_route_entropy": 0.03765344247221947,
          "mean_route_accuracy": 0.9166666865348816,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.9998705685138702,
          "decoder_query_target_nll": 0.8671656847000122,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.9998222291469574,
          "decoder_belief_target_nll": 1.0217416882514954,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.6709287166595459,
          "mean_slot_entropy": 0.8137762546539307,
          "mean_weight_entropy": 1.0218695998191833,
          "mean_route_entropy": 0.03703559190034866,
          "mean_route_accuracy": 0.9127604365348816,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9998705387115479,
          "decoder_query_target_nll": 0.8671656847000122,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.9998222291469574,
          "decoder_belief_target_nll": 1.0217416882514954,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.6709287166595459,
          "mean_slot_entropy": 0.8137762546539307,
          "mean_weight_entropy": 1.0218695998191833,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 6,
          "query_type": "A_MINUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9998705685138702,
          "decoder_query_target_nll": 0.8671656847000122,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 3.408203125,
          "decoder_belief_target_mass": 0.9998222291469574,
          "decoder_belief_target_nll": 1.0217416882514954,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 3.783203125,
          "mean_slot_purity": 0.6709287166595459,
          "mean_slot_entropy": 0.8137762546539307,
          "mean_weight_entropy": 1.0218695998191833,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 3.783203125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.20436789095401764,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.212890625,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.021661928854882717,
          "decoder_belief_target_nll": 16.15286636352539,
          "decoder_belief_top1_on_support": 0.025390625,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.21601249277591705,
          "decoder_query_target_nll": 6.02321720123291,
          "decoder_query_top1_on_support": 0.21875,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.028469719924032688,
          "decoder_belief_target_nll": 15.879138946533203,
          "decoder_belief_top1_on_support": 0.037109375,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.8666867017745972,
          "mean_slot_entropy": 0.21168064326047897,
          "mean_weight_entropy": 1.9931858777999878,
          "mean_route_entropy": 0.03321743384003639,
          "mean_route_accuracy": 0.9036458432674408,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.23206421732902527,
          "decoder_query_target_nll": 7.406910419464111,
          "decoder_query_top1_on_support": 0.24609375,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.03303550183773041,
          "decoder_belief_target_nll": 15.914320945739746,
          "decoder_belief_top1_on_support": 0.03515625,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.7983262836933136,
          "mean_slot_entropy": 0.3697374016046524,
          "mean_weight_entropy": 1.6975699663162231,
          "mean_route_entropy": 0.03565891645848751,
          "mean_route_accuracy": 0.918619841337204,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.23888641595840454,
          "decoder_query_target_nll": 8.096673488616943,
          "decoder_query_top1_on_support": 0.251953125,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.04084005579352379,
          "decoder_belief_target_nll": 15.997151374816895,
          "decoder_belief_top1_on_support": 0.05078125,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.7507060170173645,
          "mean_slot_entropy": 0.514611229300499,
          "mean_weight_entropy": 1.4352449178695679,
          "mean_route_entropy": 0.039219506084918976,
          "mean_route_accuracy": 0.9199219048023224,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.3600313812494278,
          "decoder_query_target_nll": 7.963430404663086,
          "decoder_query_top1_on_support": 0.376953125,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.12020823359489441,
          "decoder_belief_target_nll": 14.051963806152344,
          "decoder_belief_top1_on_support": 0.134765625,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.6632941961288452,
          "mean_slot_entropy": 0.8419063687324524,
          "mean_weight_entropy": 0.9814698100090027,
          "mean_route_entropy": 0.03947744518518448,
          "mean_route_accuracy": 0.9192708730697632,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9998726546764374,
          "decoder_query_target_nll": 0.5431114137172699,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.9997127950191498,
          "decoder_belief_target_nll": 0.6823370456695557,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.5925647020339966,
          "mean_slot_entropy": 1.0982869267463684,
          "mean_weight_entropy": 0.682606041431427,
          "mean_route_entropy": 0.03652670793235302,
          "mean_route_accuracy": 0.9055989980697632,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9998726546764374,
          "decoder_query_target_nll": 0.5431114137172699,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.248046875,
          "decoder_belief_target_mass": 0.9997127950191498,
          "decoder_belief_target_nll": 0.6823370456695557,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.623046875,
          "mean_slot_purity": 0.5925647020339966,
          "mean_slot_entropy": 1.0982869267463684,
          "mean_weight_entropy": 0.682606041431427,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.623046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.19442471116781235,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.1875,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.02024147380143404,
          "decoder_belief_target_nll": 16.4876127243042,
          "decoder_belief_top1_on_support": 0.02734375,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.2036314159631729,
          "decoder_query_target_nll": 6.371733665466309,
          "decoder_query_top1_on_support": 0.20703125,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.021781859919428825,
          "decoder_belief_target_nll": 16.17908477783203,
          "decoder_belief_top1_on_support": 0.02734375,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.8506489396095276,
          "mean_slot_entropy": 0.23936184495687485,
          "mean_weight_entropy": 1.9573357701301575,
          "mean_route_entropy": 0.03700089454650879,
          "mean_route_accuracy": 0.9147135615348816,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.20730804651975632,
          "decoder_query_target_nll": 7.898758411407471,
          "decoder_query_top1_on_support": 0.2109375,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.022782180458307266,
          "decoder_belief_target_nll": 16.31565284729004,
          "decoder_belief_top1_on_support": 0.021484375,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.7839275598526001,
          "mean_slot_entropy": 0.3935178369283676,
          "mean_weight_entropy": 1.6658837795257568,
          "mean_route_entropy": 0.03684435039758682,
          "mean_route_accuracy": 0.921875,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.21010122448205948,
          "decoder_query_target_nll": 8.555292129516602,
          "decoder_query_top1_on_support": 0.19140625,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.025954036973416805,
          "decoder_belief_target_nll": 16.336240768432617,
          "decoder_belief_top1_on_support": 0.02734375,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.7381434142589569,
          "mean_slot_entropy": 0.5378799736499786,
          "mean_weight_entropy": 1.4422557353973389,
          "mean_route_entropy": 0.03692256845533848,
          "mean_route_accuracy": 0.9062500298023224,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.3572892099618912,
          "decoder_query_target_nll": 7.958398818969727,
          "decoder_query_top1_on_support": 0.353515625,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.09702857583761215,
          "decoder_belief_target_nll": 14.654064655303955,
          "decoder_belief_top1_on_support": 0.10546875,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.6541315317153931,
          "mean_slot_entropy": 0.8455398678779602,
          "mean_weight_entropy": 0.9154089689254761,
          "mean_route_entropy": 0.03623143397271633,
          "mean_route_accuracy": 0.9095052182674408,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9998617172241211,
          "decoder_query_target_nll": 0.4947059154510498,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.9996920824050903,
          "decoder_belief_target_nll": 0.6082170009613037,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.5829111039638519,
          "mean_slot_entropy": 1.121012806892395,
          "mean_weight_entropy": 0.6085038185119629,
          "mean_route_entropy": 0.03622619993984699,
          "mean_route_accuracy": 0.9192708730697632,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9998617172241211,
          "decoder_query_target_nll": 0.4947059154510498,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.138671875,
          "decoder_belief_target_mass": 0.9996920824050903,
          "decoder_belief_target_nll": 0.6082170009613037,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.40234375,
          "mean_slot_purity": 0.5829111039638519,
          "mean_slot_entropy": 1.121012806892395,
          "mean_weight_entropy": 0.6085038185119629,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.40234375
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.22105823457241058,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.248046875,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.024147716350853443,
          "decoder_belief_target_nll": 16.298270225524902,
          "decoder_belief_top1_on_support": 0.02734375,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.22531621158123016,
          "decoder_query_target_nll": 5.012920379638672,
          "decoder_query_top1_on_support": 0.212890625,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.02243010886013508,
          "decoder_belief_target_nll": 16.235200881958008,
          "decoder_belief_top1_on_support": 0.021484375,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.8529877960681915,
          "mean_slot_entropy": 0.23485711961984634,
          "mean_weight_entropy": 1.9600353240966797,
          "mean_route_entropy": 0.036956124007701874,
          "mean_route_accuracy": 0.9192708432674408,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.22493231296539307,
          "decoder_query_target_nll": 6.3301777839660645,
          "decoder_query_top1_on_support": 0.220703125,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.02645191829651594,
          "decoder_belief_target_nll": 16.36888885498047,
          "decoder_belief_top1_on_support": 0.033203125,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.7914324402809143,
          "mean_slot_entropy": 0.38137131929397583,
          "mean_weight_entropy": 1.698377251625061,
          "mean_route_entropy": 0.037570780143141747,
          "mean_route_accuracy": 0.9088541865348816,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.23170817643404007,
          "decoder_query_target_nll": 7.237926959991455,
          "decoder_query_top1_on_support": 0.248046875,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.035954708233475685,
          "decoder_belief_target_nll": 16.21788501739502,
          "decoder_belief_top1_on_support": 0.033203125,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.7498647570610046,
          "mean_slot_entropy": 0.5167984664440155,
          "mean_weight_entropy": 1.4557210206985474,
          "mean_route_entropy": 0.0349247083067894,
          "mean_route_accuracy": 0.9108073115348816,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.21210363507270813,
          "decoder_query_target_nll": 8.99024248123169,
          "decoder_query_top1_on_support": 0.21875,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.07838047668337822,
          "decoder_belief_target_nll": 14.878630638122559,
          "decoder_belief_top1_on_support": 0.091796875,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.6592508554458618,
          "mean_slot_entropy": 0.8387086391448975,
          "mean_weight_entropy": 0.9711291790008545,
          "mean_route_entropy": 0.038310298696160316,
          "mean_route_accuracy": 0.921875,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9997684955596924,
          "decoder_query_target_nll": 0.6167833209037781,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.9997110962867737,
          "decoder_belief_target_nll": 0.6744092702865601,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.5911262929439545,
          "mean_slot_entropy": 1.095990240573883,
          "mean_weight_entropy": 0.6746778190135956,
          "mean_route_entropy": 0.038750139996409416,
          "mean_route_accuracy": 0.921875,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_PLUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9997684955596924,
          "decoder_query_target_nll": 0.6167833507061005,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.431640625,
          "decoder_belief_target_mass": 0.9997110962867737,
          "decoder_belief_target_nll": 0.6744092702865601,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.55078125,
          "mean_slot_purity": 0.5911262929439545,
          "mean_slot_entropy": 1.095990240573883,
          "mean_weight_entropy": 0.6746778190135956,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.55078125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.2382812276482582,
          "decoder_query_target_nll": 13.897656917572021,
          "decoder_query_top1_on_support": 0.23828125,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.025213060900568962,
          "decoder_belief_target_nll": 16.295551300048828,
          "decoder_belief_top1_on_support": 0.017578125,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.24201016128063202,
          "decoder_query_target_nll": 8.887187004089355,
          "decoder_query_top1_on_support": 0.240234375,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.027787817642092705,
          "decoder_belief_target_nll": 16.141200065612793,
          "decoder_belief_top1_on_support": 0.029296875,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.8591118454933167,
          "mean_slot_entropy": 0.2241610288619995,
          "mean_weight_entropy": 1.972885251045227,
          "mean_route_entropy": 0.03763187304139137,
          "mean_route_accuracy": 0.9114583730697632,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.23073355853557587,
          "decoder_query_target_nll": 7.837711334228516,
          "decoder_query_top1_on_support": 0.232421875,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.030361131764948368,
          "decoder_belief_target_nll": 16.06095266342163,
          "decoder_belief_top1_on_support": 0.03125,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.804711103439331,
          "mean_slot_entropy": 0.35453832149505615,
          "mean_weight_entropy": 1.7249667048454285,
          "mean_route_entropy": 0.03834645263850689,
          "mean_route_accuracy": 0.9088541865348816,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.22581718116998672,
          "decoder_query_target_nll": 7.894826650619507,
          "decoder_query_top1_on_support": 0.2265625,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.036400360986590385,
          "decoder_belief_target_nll": 16.163679122924805,
          "decoder_belief_top1_on_support": 0.037109375,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.7654410004615784,
          "mean_slot_entropy": 0.47524428367614746,
          "mean_weight_entropy": 1.5260943174362183,
          "mean_route_entropy": 0.03650166280567646,
          "mean_route_accuracy": 0.9147135615348816,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.2552020102739334,
          "decoder_query_target_nll": 8.355350017547607,
          "decoder_query_top1_on_support": 0.25,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.09606907516717911,
          "decoder_belief_target_nll": 14.360382080078125,
          "decoder_belief_top1_on_support": 0.09765625,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.6813220381736755,
          "mean_slot_entropy": 0.7771823704242706,
          "mean_weight_entropy": 1.0228309631347656,
          "mean_route_entropy": 0.0376359261572361,
          "mean_route_accuracy": 0.9160156548023224,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.9997602999210358,
          "decoder_query_target_nll": 0.6542670428752899,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.9996907711029053,
          "decoder_belief_target_nll": 0.7307507395744324,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.6101203560829163,
          "mean_slot_entropy": 1.034202218055725,
          "mean_weight_entropy": 0.7310295403003693,
          "mean_route_entropy": 0.03888528235256672,
          "mean_route_accuracy": 0.9140625298023224,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 9,
          "query_type": "A_MINUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9997602999210358,
          "decoder_query_target_nll": 0.6542670428752899,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 2.56640625,
          "decoder_belief_target_mass": 0.9996907711029053,
          "decoder_belief_target_nll": 0.7307507395744324,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.8125,
          "mean_slot_purity": 0.6101203560829163,
          "mean_slot_entropy": 1.034202218055725,
          "mean_weight_entropy": 0.7310295403003693,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.8125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.16903407871723175,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.158203125,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.015269889030605555,
          "decoder_belief_target_nll": 16.432348251342773,
          "decoder_belief_top1_on_support": 0.01171875,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.16122503578662872,
          "decoder_query_target_nll": 6.006239652633667,
          "decoder_query_top1_on_support": 0.154296875,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.014854354783892632,
          "decoder_belief_target_nll": 16.26192855834961,
          "decoder_belief_top1_on_support": 0.017578125,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.8754182457923889,
          "mean_slot_entropy": 0.19831355661153793,
          "mean_weight_entropy": 2.022522509098053,
          "mean_route_entropy": 0.04070913605391979,
          "mean_route_accuracy": 0.9205729365348816,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.1657821089029312,
          "decoder_query_target_nll": 7.7198872566223145,
          "decoder_query_top1_on_support": 0.15234375,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.012370842508971691,
          "decoder_belief_target_nll": 16.729921340942383,
          "decoder_belief_top1_on_support": 0.013671875,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.8123774230480194,
          "mean_slot_entropy": 0.3476312607526779,
          "mean_weight_entropy": 1.7138346433639526,
          "mean_route_entropy": 0.03848559781908989,
          "mean_route_accuracy": 0.9075520932674408,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.17690303921699524,
          "decoder_query_target_nll": 9.172520160675049,
          "decoder_query_top1_on_support": 0.171875,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.02264505811035633,
          "decoder_belief_target_nll": 16.743793487548828,
          "decoder_belief_top1_on_support": 0.0234375,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.7636327147483826,
          "mean_slot_entropy": 0.49530985951423645,
          "mean_weight_entropy": 1.4545491933822632,
          "mean_route_entropy": 0.03882301785051823,
          "mean_route_accuracy": 0.9179687798023224,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.22750916332006454,
          "decoder_query_target_nll": 9.176852226257324,
          "decoder_query_top1_on_support": 0.212890625,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.029772836714982986,
          "decoder_belief_target_nll": 16.55627155303955,
          "decoder_belief_top1_on_support": 0.021484375,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.6803009510040283,
          "mean_slot_entropy": 0.8001632988452911,
          "mean_weight_entropy": 1.0030014216899872,
          "mean_route_entropy": 0.03814512491226196,
          "mean_route_accuracy": 0.9160156548023224,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.3750649094581604,
          "decoder_query_target_nll": 7.9796037673950195,
          "decoder_query_top1_on_support": 0.388671875,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.0863087959587574,
          "decoder_belief_target_nll": 14.650782108306885,
          "decoder_belief_top1_on_support": 0.095703125,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.6072356998920441,
          "mean_slot_entropy": 1.0522984266281128,
          "mean_weight_entropy": 0.6819533109664917,
          "mean_route_entropy": 0.03434674069285393,
          "mean_route_accuracy": 0.908203125,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9997895359992981,
          "decoder_query_target_nll": 0.39155127108097076,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 1.859375,
          "decoder_belief_target_mass": 0.9995374381542206,
          "decoder_belief_target_nll": 0.47679829597473145,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.548303484916687,
          "mean_slot_entropy": 1.2818127274513245,
          "mean_weight_entropy": 0.477057620882988,
          "mean_route_entropy": 0.0374826081097126,
          "mean_route_accuracy": 0.9042969048023224,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.15340909361839294,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.146484375,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.015802554320544004,
          "decoder_belief_target_nll": 16.169625282287598,
          "decoder_belief_top1_on_support": 0.01953125,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.15229620784521103,
          "decoder_query_target_nll": 5.575637102127075,
          "decoder_query_top1_on_support": 0.16015625,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.017103993333876133,
          "decoder_belief_target_nll": 16.095711708068848,
          "decoder_belief_top1_on_support": 0.01171875,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.8881120681762695,
          "mean_slot_entropy": 0.1755233108997345,
          "mean_weight_entropy": 2.045846700668335,
          "mean_route_entropy": 0.036786038428545,
          "mean_route_accuracy": 0.8899739980697632,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.14483684301376343,
          "decoder_query_target_nll": 7.212212800979614,
          "decoder_query_top1_on_support": 0.154296875,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.019917394034564495,
          "decoder_belief_target_nll": 16.10665512084961,
          "decoder_belief_top1_on_support": 0.025390625,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.8273110091686249,
          "mean_slot_entropy": 0.31615108251571655,
          "mean_weight_entropy": 1.7562810182571411,
          "mean_route_entropy": 0.03652224875986576,
          "mean_route_accuracy": 0.9055989682674408,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.16458839178085327,
          "decoder_query_target_nll": 8.09515380859375,
          "decoder_query_top1_on_support": 0.15625,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.0208304300904274,
          "decoder_belief_target_nll": 16.2089900970459,
          "decoder_belief_top1_on_support": 0.017578125,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.7873636484146118,
          "mean_slot_entropy": 0.4352191090583801,
          "mean_weight_entropy": 1.5406509637832642,
          "mean_route_entropy": 0.03619599528610706,
          "mean_route_accuracy": 0.9108073115348816,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.1981530338525772,
          "decoder_query_target_nll": 8.93381118774414,
          "decoder_query_top1_on_support": 0.20703125,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.041063202545046806,
          "decoder_belief_target_nll": 16.258200645446777,
          "decoder_belief_top1_on_support": 0.037109375,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.6886752843856812,
          "mean_slot_entropy": 0.7637440264225006,
          "mean_weight_entropy": 1.0301183462142944,
          "mean_route_entropy": 0.034586088731884956,
          "mean_route_accuracy": 0.9055989682674408,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.34460902214050293,
          "decoder_query_target_nll": 7.691174030303955,
          "decoder_query_top1_on_support": 0.34375,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.0914885476231575,
          "decoder_belief_target_nll": 14.391286373138428,
          "decoder_belief_top1_on_support": 0.09375,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.6139535903930664,
          "mean_slot_entropy": 1.0258983671665192,
          "mean_weight_entropy": 0.6778100430965424,
          "mean_route_entropy": 0.03484145179390907,
          "mean_route_accuracy": 0.9114583432674408,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9997689127922058,
          "decoder_query_target_nll": 0.3576122373342514,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 1.6875,
          "decoder_belief_target_mass": 0.9995441138744354,
          "decoder_belief_target_nll": 0.43272554874420166,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 1.869140625,
          "mean_slot_purity": 0.5540094077587128,
          "mean_slot_entropy": 1.2535207271575928,
          "mean_weight_entropy": 0.4332197904586792,
          "mean_route_entropy": 0.03979429602622986,
          "mean_route_accuracy": 0.916015625,
          "mean_target_support_size": 1.869140625
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.17116478085517883,
          "decoder_query_target_nll": 2.397895336151123,
          "decoder_query_top1_on_support": 0.15234375,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.016512785106897354,
          "decoder_belief_target_nll": 16.462244987487793,
          "decoder_belief_top1_on_support": 0.017578125,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.16660013794898987,
          "decoder_query_target_nll": 5.331981897354126,
          "decoder_query_top1_on_support": 0.173828125,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.014795445371419191,
          "decoder_belief_target_nll": 16.665234565734863,
          "decoder_belief_top1_on_support": 0.015625,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.8460922241210938,
          "mean_slot_entropy": 0.24393513798713684,
          "mean_weight_entropy": 1.9284852147102356,
          "mean_route_entropy": 0.03380534425377846,
          "mean_route_accuracy": 0.9153646230697632,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.17141610383987427,
          "decoder_query_target_nll": 6.424575567245483,
          "decoder_query_top1_on_support": 0.16796875,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.017630980350077152,
          "decoder_belief_target_nll": 16.226266860961914,
          "decoder_belief_top1_on_support": 0.01171875,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.7890630960464478,
          "mean_slot_entropy": 0.39382871985435486,
          "mean_weight_entropy": 1.6811493635177612,
          "mean_route_entropy": 0.03494667820632458,
          "mean_route_accuracy": 0.9049479365348816,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.17528799176216125,
          "decoder_query_target_nll": 7.369502067565918,
          "decoder_query_top1_on_support": 0.197265625,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.0244735274463892,
          "decoder_belief_target_nll": 16.548433303833008,
          "decoder_belief_top1_on_support": 0.025390625,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.7490627765655518,
          "mean_slot_entropy": 0.5179309546947479,
          "mean_weight_entropy": 1.4526046514511108,
          "mean_route_entropy": 0.03545057401061058,
          "mean_route_accuracy": 0.9173177480697632,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.1964789554476738,
          "decoder_query_target_nll": 8.513404369354248,
          "decoder_query_top1_on_support": 0.19921875,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.03604886122047901,
          "decoder_belief_target_nll": 16.520315170288086,
          "decoder_belief_top1_on_support": 0.033203125,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.6697209179401398,
          "mean_slot_entropy": 0.8212521374225616,
          "mean_weight_entropy": 0.9928115010261536,
          "mean_route_entropy": 0.03387712314724922,
          "mean_route_accuracy": 0.9140625298023224,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.19460246711969376,
          "decoder_query_target_nll": 8.951494216918945,
          "decoder_query_top1_on_support": 0.208984375,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.08045193552970886,
          "decoder_belief_target_nll": 14.753794193267822,
          "decoder_belief_top1_on_support": 0.08203125,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.6016834378242493,
          "mean_slot_entropy": 1.0767408609390259,
          "mean_weight_entropy": 0.6708751022815704,
          "mean_route_entropy": 0.03734897822141647,
          "mean_route_accuracy": 0.9036458730697632,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_PLUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9996001124382019,
          "decoder_query_target_nll": 0.39632298052310944,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 1.8828125,
          "decoder_belief_target_mass": 0.9995158314704895,
          "decoder_belief_target_nll": 0.45967307686805725,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 2.046875,
          "mean_slot_purity": 0.5498059689998627,
          "mean_slot_entropy": 1.2668434977531433,
          "mean_weight_entropy": 0.4599969983100891,
          "mean_route_entropy": 0.03416386991739273,
          "mean_route_accuracy": 0.9166666865348816,
          "mean_target_support_size": 2.046875
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 0,
          "n": 512,
          "decoder_query_target_mass": 0.16015625,
          "decoder_query_target_nll": 13.967867851257324,
          "decoder_query_top1_on_support": 0.16015625,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.015447443351149559,
          "decoder_belief_target_nll": 16.365763664245605,
          "decoder_belief_top1_on_support": 0.01171875,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.999997615814209,
          "mean_slot_entropy": 3.839540295302868e-05,
          "mean_weight_entropy": 2.397895336151123,
          "mean_route_entropy": -1.0,
          "mean_route_accuracy": -1.0,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 1,
          "n": 512,
          "decoder_query_target_mass": 0.1729423925280571,
          "decoder_query_target_nll": 9.101478576660156,
          "decoder_query_top1_on_support": 0.16796875,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.017129899002611637,
          "decoder_belief_target_nll": 16.374406814575195,
          "decoder_belief_top1_on_support": 0.01953125,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.8611842691898346,
          "mean_slot_entropy": 0.21779696643352509,
          "mean_weight_entropy": 1.961797833442688,
          "mean_route_entropy": 0.03456825390458107,
          "mean_route_accuracy": 0.916015625,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 2,
          "n": 512,
          "decoder_query_target_mass": 0.1592361181974411,
          "decoder_query_target_nll": 8.134064674377441,
          "decoder_query_top1_on_support": 0.14453125,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.0190860191360116,
          "decoder_belief_target_nll": 16.31667137145996,
          "decoder_belief_top1_on_support": 0.015625,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.7963938117027283,
          "mean_slot_entropy": 0.3761775493621826,
          "mean_weight_entropy": 1.6690646409988403,
          "mean_route_entropy": 0.03556893579661846,
          "mean_route_accuracy": 0.912760466337204,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 3,
          "n": 512,
          "decoder_query_target_mass": 0.17852795124053955,
          "decoder_query_target_nll": 8.142450332641602,
          "decoder_query_top1_on_support": 0.1796875,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.01737224217504263,
          "decoder_belief_target_nll": 16.625185012817383,
          "decoder_belief_top1_on_support": 0.017578125,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.7567264437675476,
          "mean_slot_entropy": 0.49496087431907654,
          "mean_weight_entropy": 1.4530908465385437,
          "mean_route_entropy": 0.03757167235016823,
          "mean_route_accuracy": 0.9166666865348816,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 6,
          "n": 512,
          "decoder_query_target_mass": 0.16464217752218246,
          "decoder_query_target_nll": 8.761106491088867,
          "decoder_query_top1_on_support": 0.16796875,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.028619248420000076,
          "decoder_belief_target_nll": 16.204249382019043,
          "decoder_belief_top1_on_support": 0.03125,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.6738477945327759,
          "mean_slot_entropy": 0.8047374188899994,
          "mean_weight_entropy": 1.0263107419013977,
          "mean_route_entropy": 0.03904683515429497,
          "mean_route_accuracy": 0.9069010615348816,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 9,
          "n": 512,
          "decoder_query_target_mass": 0.19988178461790085,
          "decoder_query_target_nll": 8.697339057922363,
          "decoder_query_top1_on_support": 0.19140625,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.09667522832751274,
          "decoder_belief_target_nll": 14.269538879394531,
          "decoder_belief_top1_on_support": 0.087890625,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.6055110692977905,
          "mean_slot_entropy": 1.0557781457901,
          "mean_weight_entropy": 0.6995932459831238,
          "mean_route_entropy": 0.03518234193325043,
          "mean_route_accuracy": 0.9108073115348816,
          "mean_target_support_size": 1.923828125
        },
        {
          "model": "cyclic_transition_ladder",
          "variant": "pilot_cyclic_mixer",
          "modulus": 11,
          "observe_mod": 4,
          "observe_prob": 0.3,
          "op_family": "full",
          "query_family": "all",
          "slot_capacity": 11,
          "init_mode": "oracle",
          "transition_mode": "cyclic_mixer",
          "supervision": "full_belief",
          "slot_dim": 64,
          "hidden_dim": 128,
          "fourier_order": 8,
          "train_steps": 600,
          "length": 12,
          "query_type": "A_MINUS_B",
          "k": 12,
          "n": 512,
          "decoder_query_target_mass": 0.9996002018451691,
          "decoder_query_target_nll": 0.3847501277923584,
          "decoder_query_top1_on_support": 1.0,
          "mean_decoder_query_support_size": 1.826171875,
          "decoder_belief_target_mass": 0.999543309211731,
          "decoder_belief_target_nll": 0.4357765018939972,
          "decoder_belief_top1_on_support": 1.0,
          "mean_decoder_belief_support_size": 1.923828125,
          "mean_slot_purity": 0.5495043098926544,
          "mean_slot_entropy": 1.256827175617218,
          "mean_weight_entropy": 0.43616488575935364,
          "mean_route_entropy": 0.03469518944621086,
          "mean_route_accuracy": 0.9108073115348816,
          "mean_target_support_size": 1.923828125
        }
      ]
    }
  ],
  "checkpoints": [
    "large_artifacts/cyclic_transition_ladder/checkpoints/pilot_cyclic_mixer/checkpoint_final.pt"
  ],
  "num_parameters": 36303
}