{ "model": "HuggingFaceTB/SmolLM2-360M", "theta": 100000, "gamma_pred": 0.799996493334704, "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": 0.0075793186652784545, "std_across_seeds": 9.488817720498863e-05, "per_seed_means": [ 0.007506389223660032, 0.007518230212541918, 0.007713336559633414 ] }, "20": { "mean_across_seeds": 0.005817425185814499, "std_across_seeds": 6.958758292443584e-05, "per_seed_means": [ 0.005819998332299292, 0.005730940715099374, 0.005901336510044833 ] }, "30": { "mean_across_seeds": 0.003471352700402753, "std_across_seeds": 0.00013065052503733263, "per_seed_means": [ 0.0036349724791944027, 0.0034638783040766914, 0.0033152073179371654 ] }, "50": { "mean_across_seeds": 0.002386403470429488, "std_across_seeds": 8.121991095048092e-05, "per_seed_means": [ 0.002459626552493622, 0.002273151234646017, 0.002426432624148826 ] }, "100": { "mean_across_seeds": 0.0015280379799918996, "std_across_seeds": 0.00010151077379917431, "per_seed_means": [ 0.0016437112788359324, 0.0013965710260284445, 0.001543831635111322 ] }, "200": { "mean_across_seeds": 0.0007104039443462778, "std_across_seeds": 4.436987859585186e-05, "per_seed_means": [ 0.0007541682361625135, 0.0006495789651914189, 0.0007274646316849006 ] }, "500": { "mean_across_seeds": 0.0003033048584701545, "std_across_seeds": 3.6902252588477966e-05, "per_seed_means": [ 0.0002615151315209611, 0.00029712799480572966, 0.0003512714490837728 ] }, "1000": { "mean_across_seeds": 0.0001780933051163124, "std_across_seeds": 1.2855955644831184e-05, "per_seed_means": [ 0.00017675424072270592, 0.00019446533944574184, 0.00016306033518048935 ] }, "2000": { "mean_across_seeds": 6.960754264582647e-05, "std_across_seeds": 7.328966477321964e-06, "per_seed_means": [ 7.937209645509331e-05, 6.773537223731789e-05, 6.171515924506821e-05 ] } }, "fit_power_law": { "gamma": 0.9197098362636822, "log_A": -2.406781712821382, "R2": 0.992716, "n_points": 7 }, "fit_exponential": { "lambda": 0.0018141314423132892, "log_A": -6.3860584376391865, "R2": 0.832386, "n_points": 7 }, "delta_R2_power_minus_exp": 0.1603, "gamma_CI_95": { "lo": 0.8428163690203526, "hi": 1.0093623120299413 }, "decision": "REFUTED: C not constant across \u03b8" }