{ "model": "Qwen/Qwen2.5-7B", "theta": 1000000, "gamma_pred": 0.6666637444455867, "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": 0.009949791732554635, "std_across_seeds": 0.00017400484474847187, "per_seed_means": [ 0.00970459462919583, 0.010054353810846805, 0.010090426757621269 ] }, "20": { "mean_across_seeds": 0.00652512194097249, "std_across_seeds": 0.00027764715284577684, "per_seed_means": [ 0.006915346873768916, 0.006367762469065686, 0.00629225648008287 ] }, "30": { "mean_across_seeds": 0.004573273731706043, "std_across_seeds": 0.0002440010861132137, "per_seed_means": [ 0.004245316321806361, 0.00483019192237407, 0.004644312950937699 ] }, "50": { "mean_across_seeds": 0.0037503224599640815, "std_across_seeds": 0.00014970965595137803, "per_seed_means": [ 0.0036074511027739693, 0.003686442569984744, 0.003957073707133532 ] }, "100": { "mean_across_seeds": 0.0017626451529536603, "std_across_seeds": 6.538491081934697e-05, "per_seed_means": [ 0.0016974271783449998, 0.0017384849436348304, 0.0018520233368811507 ] }, "200": { "mean_across_seeds": 0.0009006613932110162, "std_across_seeds": 1.4542795753788803e-05, "per_seed_means": [ 0.0008808788963748763, 0.0009056814018792162, 0.0009154238813789561 ] }, "500": { "mean_across_seeds": 0.0004466055328116959, "std_across_seeds": 2.9333787485462512e-05, "per_seed_means": [ 0.0004095632961252704, 0.00044895225291838867, 0.0004813010493914286 ] }, "1000": { "mean_across_seeds": 0.00036055122376031553, "std_across_seeds": 3.763717614004054e-05, "per_seed_means": [ 0.00032056129857664927, 0.00035012514175226294, 0.0004109672309520344 ] }, "2000": { "mean_across_seeds": 0.00013122257518666125, "std_across_seeds": 2.1018759696526725e-06, "per_seed_means": [ 0.0001299849769566208, 0.00013418190562030456, 0.00012950084298305833 ] } }, "fit_power_law": { "gamma": 0.8270155146179213, "log_A": -2.5043057610030255, "R2": 0.984663, "n_points": 7 }, "fit_exponential": { "lambda": 0.00159574430485393, "log_A": -6.102228480230107, "R2": 0.790044, "n_points": 7 }, "delta_R2_power_minus_exp": 0.1946, "gamma_CI_95": { "lo": 0.718555951342085, "hi": 0.9106818877708862 }, "decision": "UNCLEAR: \u03b3=0.827 outside all expected ranges" }