1{
  2  "bench_version": 1,
  3  "track": "oscillatory_poisson_dirichlet",
  4  "model": "mlp_tiny",
  5  "metric_direction": "lower is better",
  6  "n_seeds": 8,
  7  "baseline": {
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 48      "n": 8
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 50  },
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 61      6.513614152936498e-06,
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 64    "n": 8
 65  },
 66  "comparison": {
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 69    "n_pairs": 8,
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 80    "p_value": 0.0081,
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 82    "mde_rel_pct": 8.28352810057385,
 83    "verdict": "idea better (significant)",
 84    "system_worked": true
 85  },
 86  "mechanism_signature": {
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101      "pair_energy_range": [
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103        1.0
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105      "confirmed": true
106    },
107    "prediction": "lacunary features should represent the observed q=21 oscillatory projection more accurately than raw coordinates",
108    "observed_projection_mean": -0.0007434946983266855,
109    "baseline_projection_mean": -0.0006118378005339764,
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114    "per_seed": [
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123      {
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129        "idea_mse": 1.5018205886008218e-05
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131      {
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145        "idea_mse": 2.8497804578364594e-06
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147      {
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150        "baseline_projection": 0.002247645752504468,
151        "idea_projection": 0.0021136009600013494,
152        "baseline_mse": 0.00044202408753335476,
153        "idea_mse": 1.254685685125878e-05
154      },
155      {
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157        "observed_projection": 0.006408534478396177,
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159        "idea_projection": 0.00562709104269743,
160        "baseline_mse": 0.0004499702772591263,
161        "idea_mse": 1.2878803318017162e-05
162      },
163      {
164        "seed": 6,
165        "observed_projection": 0.00022972554143052548,
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167        "idea_projection": -9.426239557797089e-05,
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169        "idea_mse": 6.513614152936498e-06
170      },
171      {
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175        "idea_projection": -0.007478947285562754,
176        "baseline_mse": 0.00043536751763895154,
177        "idea_mse": 2.056787252513459e-06
178      }
179    ]
180  },
181  "baseline_full_at_idea_cfg": {
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183    "std": 3.8187087327051446e-05,
184    "per_seed": [
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194    "n": 8
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196  "idea_config_candidates": [
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199      "epochs": 40
200    },
201    {
202      "lr": 0.003,
203      "epochs": 60
204    },
205    {
206      "lr": 0.01,
207      "epochs": 40
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209  ],
210  "chosen_idea_cfg": {
211    "lr": 0.003,
212    "epochs": 60
213  },
214  "track_justification": "Registered oscillatory elliptic PDE field: the task contains the high-frequency coordinate structure targeted by the embedding."
215}