{ "model": "EleutherAI/pythia-2.8b", "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": 0.007388996658846736, "std_across_seeds": 0.00018226253624295958, "per_seed_means": [ 0.007328578910479943, 0.007202199265981714, 0.007636211800078551 ] }, "20": { "mean_across_seeds": 0.0065620680425005655, "std_across_seeds": 0.0013119660642064493, "per_seed_means": [ 0.008389089189780255, 0.005368597246706486, 0.005928517691014956 ] }, "30": { "mean_across_seeds": 0.004171221432948693, "std_across_seeds": 5.492056749426419e-05, "per_seed_means": [ 0.004100738317550471, 0.004178205231825511, 0.0042347207494700945 ] }, "50": { "mean_across_seeds": 0.0028834379232850755, "std_across_seeds": 0.00011670489556831891, "per_seed_means": [ 0.002764531443050752, 0.0030420172734496494, 0.0028437650533548247 ] }, "100": { "mean_across_seeds": 0.0016150823904253128, "std_across_seeds": 1.6027428565874314e-05, "per_seed_means": [ 0.0015924673308230315, 0.001627707876614295, 0.001625071963838612 ] }, "200": { "mean_across_seeds": 0.0012179727724287658, "std_across_seeds": 1.7310186855210638e-05, "per_seed_means": [ 0.001211881641841804, 0.0012004845253735159, 0.0012415521500709777 ] }, "500": { "mean_across_seeds": 0.0003523622222484037, "std_across_seeds": 3.2832611113364645e-05, "per_seed_means": [ 0.00039570461075830583, 0.00031626713990893525, 0.0003451149160779702 ] }, "1000": { "mean_across_seeds": 0.00021088249445407807, "std_across_seeds": 8.525966582865826e-06, "per_seed_means": [ 0.0002150495473082022, 0.00019900024810340255, 0.00021859768795062944 ] }, "2000": { "mean_across_seeds": 0.0009888755242556928, "std_across_seeds": 0.0010801453503042908, "per_seed_means": [ 0.00020996567844122182, 0.0002403297636192292, 0.0025163311307066275 ] } }, "fit_power_law": { "gamma": 0.5511942093739615, "log_A": -3.841280530850879, "R2": 0.644437, "n_points": 7 }, "fit_exponential": { "lambda": 0.0007053287474078895, "log_A": -6.437797432208634, "R2": 0.227415, "n_points": 7 }, "delta_R2_power_minus_exp": 0.417, "gamma_CI_95": { "lo": 0.23611731057176769, "hi": 0.9185010077352719 }, "decision": "UNCLEAR: \u03b3=0.551 outside all expected ranges" }