{ "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": 0.007966959143264426, "std_across_seeds": 0.0005601652428789886, "per_seed_means": [ 0.007183899756831427, 0.008462369282109042, 0.008254608390852809 ] }, "20": { "mean_across_seeds": 0.004732916150759491, "std_across_seeds": 0.00034992389259481266, "per_seed_means": [ 0.004537673588298882, 0.005224339859948183, 0.0044367350040314096 ] }, "30": { "mean_across_seeds": 0.0030590847538810016, "std_across_seeds": 0.00036923530136224845, "per_seed_means": [ 0.0027501304377801714, 0.002848990266599382, 0.0035781335572634514 ] }, "50": { "mean_across_seeds": 0.002027262340480876, "std_across_seeds": 0.00015466362617720856, "per_seed_means": [ 0.001853673771644632, 0.001998811180431706, 0.0022293020693662886 ] }, "100": { "mean_across_seeds": 0.0010873301881171452, "std_across_seeds": 8.610188701535176e-05, "per_seed_means": [ 0.0010064105623556923, 0.0010489908065452861, 0.0012065891954504574 ] }, "200": { "mean_across_seeds": 0.0004853193103271122, "std_across_seeds": 4.3515661719948895e-05, "per_seed_means": [ 0.00043014322674328774, 0.0005365107220616968, 0.0004893039821763523 ] }, "500": { "mean_across_seeds": 0.0002133857070940495, "std_across_seeds": 2.844458225923954e-05, "per_seed_means": [ 0.00018429137151542818, 0.0002519907450672084, 0.00020387500469951192 ] }, "1000": { "mean_across_seeds": 0.00011797002824298236, "std_across_seeds": 8.847258236115946e-06, "per_seed_means": [ 0.00011550892093509902, 0.00012982452563543726, 0.00010857663815841078 ] }, "2000": { "mean_across_seeds": 5.1520356169526674e-05, "std_across_seeds": 4.1715296081625e-06, "per_seed_means": [ 4.59346058111502e-05, 5.595701771198947e-05, 5.266944498544035e-05 ] } }, "fit_power_law": { "gamma": 0.9691725803316233, "log_A": -2.4351546306959655, "R2": 0.998139, "n_points": 7 }, "fit_exponential": { "lambda": 0.001865324074347278, "log_A": -6.654143898451364, "R2": 0.796822, "n_points": 7 }, "delta_R2_power_minus_exp": 0.2013, "gamma_CI_95": { "lo": 0.9317078799826332, "hi": 1.0044633591334093 }, "decision": "REFUTED: C not constant across \u03b8" }