data/e4_gamma/Qwen--Qwen2.5-3B_random.json

{
  "model": "Qwen/Qwen2.5-3B",
  "theta": 1000000,
  "gamma_pred": 0.6666637444455867,
  "C_theory": 9.2103,
  "distances": [
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    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "distances_fit": [
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    200,
    500,
    1000,
    2000
  ],
  "d_min_fit": 30,
  "n_prompts_per_distance": 150,
  "seeds": [
    42,
    123,
    7
  ],
  "attn_by_distance": {
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      "mean_across_seeds": 0.011255048217458858,
      "std_across_seeds": 0.00029170327713132915,
      "per_seed_means": [
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    },
    "20": {
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      "std_across_seeds": 5.735484570626992e-05,
      "per_seed_means": [
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    },
    "30": {
      "mean_across_seeds": 0.005607237855696843,
      "std_across_seeds": 8.863202668815811e-05,
      "per_seed_means": [
        0.005691748578877499,
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        0.0054848144987287625
      ]
    },
    "50": {
      "mean_across_seeds": 0.004305336697854929,
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      "per_seed_means": [
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    },
    "100": {
      "mean_across_seeds": 0.0017492879890940256,
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      "per_seed_means": [
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    },
    "200": {
      "mean_across_seeds": 0.0007549225819174252,
      "std_across_seeds": 7.111260830671966e-05,
      "per_seed_means": [
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    },
    "500": {
      "mean_across_seeds": 0.0003144526818747787,
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      "per_seed_means": [
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    "1000": {
      "mean_across_seeds": 0.0002920797811627078,
      "std_across_seeds": 3.889070069088199e-05,
      "per_seed_means": [
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        0.0002386036691799139
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    },
    "2000": {
      "mean_across_seeds": 8.988117967318329e-05,
      "std_across_seeds": 5.94207520177485e-06,
      "per_seed_means": [
        9.827569079789101e-05,
        8.601787588607598e-05,
        8.534997233558291e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9643628833140916,
    "log_A": -1.871616966615359,
    "R2": 0.97891,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0018280361467505031,
    "log_A": -6.085205860136052,
    "R2": 0.758046,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2209,
  "gamma_CI_95": {
    "lo": 0.8066661732202158,
    "hi": 1.1104644097863652
  },
  "decision": "REFUTED: C not constant across \u03b8"
}