Binary Very-Weak PDE Network / results.json

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  1{
  2  "device": "cuda",
  3  "sanity": {
  4    "identity_max_abs_residual_n10_20_40_80": [
  5      0.005902234464883804,
  6      0.0013132132589817047,
  7      0.00031874701380729675,
  8      7.910281419754028e-05
  9    ],
 10    "observed_refinement_ratios": [
 11      4.494498075248289,
 12      4.119923331346493,
 13      4.029528115286804
 14    ],
 15    "prediction": "midpoint quadrature for smooth integrands has O(h^2) error, ratio 4 under grid doubling",
 16    "boundary_max_abs_hard_output": 0.0,
 17    "boundary_prediction": "bubble factor enforces exactly zero on all edges"
 18  },
 19  "hardening": {
 20    "sweep": [
 21      {
 22        "tau": 1.0,
 23        "mean_output_gap": 0.006141337100416422,
 24        "residual_l2_gap": 0.0023219329304993153,
 25        "activation_mismatch": 0.0
 26      },
 27      {
 28        "tau": 0.5,
 29        "mean_output_gap": 0.0061313677579164505,
 30        "residual_l2_gap": 0.0023195005487650633,
 31        "activation_mismatch": 0.006098533049225807
 32      },
 33      {
 34        "tau": 0.2,
 35        "mean_output_gap": 0.005648928694427013,
 36        "residual_l2_gap": 0.0022513167932629585,
 37        "activation_mismatch": 0.039421238005161285
 38      },
 39      {
 40        "tau": 0.1,
 41        "mean_output_gap": 0.004775283392518759,
 42        "residual_l2_gap": 0.002085533458739519,
 43        "activation_mismatch": 0.043885521590709686
 44      },
 45      {
 46        "tau": 0.05,
 47        "mean_output_gap": 0.003998893313109875,
 48        "residual_l2_gap": 0.0020195136312395334,
 49        "activation_mismatch": 0.054328761994838715
 50      },
 51      {
 52        "tau": 0.02,
 53        "mean_output_gap": 0.0028035263530910015,
 54        "residual_l2_gap": 0.0021534794941544533,
 55        "activation_mismatch": 0.06784119457006454
 56      },
 57      {
 58        "tau": 0.01,
 59        "mean_output_gap": 0.0018277213675901294,
 60        "residual_l2_gap": 0.0019788010977208614,
 61        "activation_mismatch": 0.07342155277729034
 62      },
 63      {
 64        "tau": 0.005,
 65        "mean_output_gap": 0.0009518691222183406,
 66        "residual_l2_gap": 0.0013121557421982288,
 67        "activation_mismatch": 0.07653061300516129
 68      }
 69    ],
 70    "median_logit_margin": 0.2425786256790161,
 71    "prediction": "for nonzero margins, sigmoid(z/tau)>=0.5 equals H(z), so mismatch is predicted 0 for every tau"
 72  },
 73  "float": {
 74    "loss_soft": 1.8912899690803897e-07,
 75    "weak_residual_rms_soft": 0.00043488963274285197,
 76    "hard_loss": 1.8912899690803897e-07,
 77    "hard_residual_rms": 0.00043488963274285197,
 78    "relative_L2": 0.5298621654510498,
 79    "params": 337,
 80    "float32_bytes": 1348,
 81    "binary_estimated_bytes": 1348,
 82    "storage_ratio": 1.0,
 83    "train_seconds": 4.050565715995617,
 84    "inference_ms_batch5000": 1.0086685400165152,
 85    "loss_trace": [
 86      0.00013825774658471346,
 87      9.603849093764438e-07,
 88      1.8926348843706364e-07
 89    ]
 90  },
 91  "binary": {
 92    "loss_soft": 0.000132787914481014,
 93    "weak_residual_rms_soft": 0.01152336411178112,
 94    "hard_loss": 0.0001386576914228499,
 95    "hard_residual_rms": 0.011775299906730652,
 96    "relative_L2": 0.9463884830474854,
 97    "params": 337,
 98    "float32_bytes": 1348,
 99    "binary_estimated_bytes": 66.125,
100    "storage_ratio": 20.38563327032136,
101    "train_seconds": 14.90884725599608,
102    "inference_ms_batch5000": 6.362649859947851,
103    "loss_trace": [
104      0.001149444025941193,
105      0.00015995686408132315,
106      0.0001330745144514367
107    ]
108  }
109}