data/e4_gamma/EleutherAI--pythia-160m_random.json

{
  "model": "EleutherAI/pythia-160m",
  "theta": 10000,
  "gamma_pred": 0.99999561666838,
  "C_theory": 9.2103,
  "distances": [
    10,
    20,
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "distances_fit": [
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "d_min_fit": 30,
  "n_prompts_per_distance": 150,
  "seeds": [
    42,
    123,
    7
  ],
  "attn_by_distance": {
    "10": {
      "mean_across_seeds": 0.010829462509912749,
      "std_across_seeds": 0.0004933662521940574,
      "per_seed_means": [
        0.010583337599722048,
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        0.011517929496864478
      ]
    },
    "20": {
      "mean_across_seeds": 0.009873490159192847,
      "std_across_seeds": 0.0006517332751691898,
      "per_seed_means": [
        0.010788665946262578,
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    },
    "30": {
      "mean_across_seeds": 0.003808915811306279,
      "std_across_seeds": 0.00010559975526077366,
      "per_seed_means": [
        0.003957300891634077,
        0.003720116306406756,
        0.0037493302358780054
      ]
    },
    "50": {
      "mean_across_seeds": 0.003134424632622136,
      "std_across_seeds": 0.00011024204387092253,
      "per_seed_means": [
        0.0030553750837376964,
        0.003290325259246553,
        0.003057573554882159
      ]
    },
    "100": {
      "mean_across_seeds": 0.001589946753811091,
      "std_across_seeds": 0.00010627266733168153,
      "per_seed_means": [
        0.0016439523688556315,
        0.0016844073765484306,
        0.0014414805160292113
      ]
    },
    "200": {
      "mean_across_seeds": 0.0009230124831406607,
      "std_across_seeds": 0.00013459768567844406,
      "per_seed_means": [
        0.0011075238784542308,
        0.0008712717732608629,
        0.0007902417977068884
      ]
    },
    "500": {
      "mean_across_seeds": 0.0003505013234017598,
      "std_across_seeds": 4.860340884797636e-05,
      "per_seed_means": [
        0.00041482529151835477,
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        0.000297357028418143
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    },
    "1000": {
      "mean_across_seeds": 0.00015388178632242167,
      "std_across_seeds": 8.562391442141839e-06,
      "per_seed_means": [
        0.00015148034889231592,
        0.00014480404968101842,
        0.00016536096039393062
      ]
    },
    "2000": {
      "mean_across_seeds": 5.142585230411594e-05,
      "std_across_seeds": 9.118662101140663e-06,
      "per_seed_means": [
        3.9784371095568836e-05,
        6.205095907110566e-05,
        5.24422267456733e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 1.0171452847779678,
    "log_A": -1.8268598516498322,
    "R2": 0.981723,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.002070284850238622,
    "log_A": -6.192254167723398,
    "R2": 0.87649,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.1052,
  "gamma_CI_95": {
    "lo": 0.8278231891480886,
    "hi": 1.160612970889765
  },
  "decision": "CONFIRMED: \u03b3 law holds (\u03b3\u00d7ln(\u03b8) = C)"
}