{ "model": "Qwen/Qwen2.5-3B", "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": 0.01112439402223875, "std_across_seeds": 0.000838491547598414, "per_seed_means": [ 0.01075855381709213, 0.01228415741895636, 0.010330470830667763 ] }, "20": { "mean_across_seeds": 0.006511005685897544, "std_across_seeds": 0.0007180136286557984, "per_seed_means": [ 0.006058958645056312, 0.007524465210735798, 0.005949593201900522 ] }, "30": { "mean_across_seeds": 0.0043632738612359384, "std_across_seeds": 0.00034911261508580775, "per_seed_means": [ 0.004442217379886036, 0.0047458748061520355, 0.003901729397669745 ] }, "50": { "mean_across_seeds": 0.00307781646283628, "std_across_seeds": 0.00041331004232130885, "per_seed_means": [ 0.0030109512369381262, 0.0036141253705136477, 0.002608372781057066 ] }, "100": { "mean_across_seeds": 0.0016049638397978721, "std_across_seeds": 0.0004841336652166786, "per_seed_means": [ 0.0012929666247024822, 0.0022887610945811804, 0.001233163800109954 ] }, "200": { "mean_across_seeds": 0.0008450243635565535, "std_across_seeds": 0.0002811253249757243, "per_seed_means": [ 0.0008146637216365585, 0.0012035060769994743, 0.0005169032920336273 ] }, "500": { "mean_across_seeds": 0.00045879156515285204, "std_across_seeds": 0.00016521171054225374, "per_seed_means": [ 0.0005418163688470182, 0.0006064154248451814, 0.00022814290176635646 ] }, "1000": { "mean_across_seeds": 0.0002865213390759891, "std_across_seeds": 9.734556435503643e-05, "per_seed_means": [ 0.0002817838863484212, 0.0004080429326131707, 0.00016973719826637534 ] }, "2000": { "mean_across_seeds": 0.00017661211525086802, "std_across_seeds": 0.00010037099387547912, "per_seed_means": [ 0.00016309323025780033, 0.00030574162936924644, 6.100148612555737e-05 ] } }, "fit_power_law": { "gamma": 0.7720333740995954, "log_A": -2.8463010634461146, "R2": 0.995841, "n_points": 7 }, "fit_exponential": { "lambda": 0.0014323846371857994, "log_A": -6.236768717117085, "R2": 0.738756, "n_points": 7 }, "delta_R2_power_minus_exp": 0.2571, "gamma_CI_95": { "lo": 0.7129891077884591, "hi": 0.8507556651066346 }, "decision": "UNCLEAR: \u03b3=0.772 outside all expected ranges" }