{ "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": 0.01184501802885077, "std_across_seeds": 0.001378859479481131, "per_seed_means": [ 0.011957902879609416, 0.010102656579886874, 0.013474494627056022 ] }, "20": { "mean_across_seeds": 0.00870004014771742, "std_across_seeds": 0.0006360259839224177, "per_seed_means": [ 0.008050499407496924, 0.008485954137674223, 0.009563666897981117 ] }, "30": { "mean_across_seeds": 0.004389970480309179, "std_across_seeds": 0.0011407267671031584, "per_seed_means": [ 0.0036179631628328935, 0.003549234614086648, 0.006002713664007994 ] }, "50": { "mean_across_seeds": 0.003499219432576663, "std_across_seeds": 0.000770145930177433, "per_seed_means": [ 0.0031687027386700112, 0.002765725217953635, 0.0045632303411063425 ] }, "100": { "mean_across_seeds": 0.0016630664256485437, "std_across_seeds": 0.0005458147513655124, "per_seed_means": [ 0.001334343857500547, 0.0012225916004293444, 0.0024322638190157403 ] }, "200": { "mean_across_seeds": 0.0011387520531247395, "std_across_seeds": 0.0006016585561184202, "per_seed_means": [ 0.0007571180729428306, 0.0006709673759663322, 0.0019881707104650558 ] }, "500": { "mean_across_seeds": 0.0007303262313851318, "std_across_seeds": 0.0006923605369903511, "per_seed_means": [ 0.00026335111497852875, 0.00021849818511933942, 0.001709129394057527 ] }, "1000": { "mean_across_seeds": 0.0005382596583993088, "std_across_seeds": 0.0006345797008602084, "per_seed_means": [ 9.761169005287229e-05, 8.152447151739276e-05, 0.0014356428136276615 ] }, "2000": { "mean_across_seeds": 0.0006330042882872375, "std_across_seeds": 0.0008601009017326663, "per_seed_means": [ 2.6749389705855718e-05, 2.289486239078542e-05, 0.0018493686127650714 ] } }, "fit_power_law": { "gamma": 0.510891565491545, "log_A": -3.8559388637995884, "R2": 0.916873, "n_points": 7 }, "fit_exponential": { "lambda": 0.0008260835489515251, "log_A": -6.167082924869525, "R2": 0.516611, "n_points": 7 }, "delta_R2_power_minus_exp": 0.4003, "gamma_CI_95": { "lo": 0.32767446550421003, "hi": 0.7113451846826664 }, "decision": "UNCLEAR: \u03b3=0.511 outside all expected ranges" }