{ "model": "google/gemma-2-9b-it", "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": 0.017953182898410077, "std_across_seeds": 0.0007041805794645068, "per_seed_means": [ 0.018890493793102602, 0.017775889163992056, 0.017193165738135577 ] }, "20": { "mean_across_seeds": 0.010547844236328577, "std_across_seeds": 0.0005853188284703318, "per_seed_means": [ 0.010494978645195564, 0.011289679798452804, 0.009858874265337363 ] }, "30": { "mean_across_seeds": 0.007733995182853605, "std_across_seeds": 0.0003677665847093681, "per_seed_means": [ 0.007786908143510421, 0.008155621903715654, 0.007259455501334742 ] }, "50": { "mean_across_seeds": 0.004784861977936493, "std_across_seeds": 0.0002626832721511183, "per_seed_means": [ 0.004976073055683324, 0.004965086993955386, 0.004413425884170768 ] }, "100": { "mean_across_seeds": 0.0028697990643559023, "std_across_seeds": 0.0001871648542152544, "per_seed_means": [ 0.0029843557137064635, 0.0030191692445077933, 0.00260587223485345 ] }, "200": { "mean_across_seeds": 0.0017543701516721437, "std_across_seeds": 0.00021095385277890302, "per_seed_means": [ 0.0018175555651153748, 0.0019752808996781825, 0.0014702739902228738 ] }, "500": { "mean_across_seeds": 0.0011422816235285103, "std_across_seeds": 0.0003238164820881095, "per_seed_means": [ 0.00077773795768735, 0.0015645880537037253, 0.0010845188591944558 ] }, "1000": { "mean_across_seeds": 0.000969841086035659, "std_across_seeds": 0.00035551078144477604, "per_seed_means": [ 0.0006559841446869541, 0.0014669198747469636, 0.0007866192386730593 ] }, "2000": { "mean_across_seeds": 0.0004331948929355652, "std_across_seeds": 0.00012259108285473552, "per_seed_means": [ 0.0003057853409260739, 0.0005987228732495472, 0.0003950764646310745 ] } }, "fit_power_law": { "gamma": 0.6276459084140061, "log_A": -2.864020841938658, "R2": 0.977314, "n_points": 7 }, "fit_exponential": { "lambda": 0.0011958725625334026, "log_A": -5.603004236734519, "R2": 0.764607, "n_points": 7 }, "delta_R2_power_minus_exp": 0.2127, "gamma_CI_95": { "lo": 0.49543651805241545, "hi": 0.7237620691005047 }, "decision": "UNCLEAR: \u03b3=0.628 outside all expected ranges" }