{ "model": "HuggingFaceTB/SmolLM2-135M", "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": 0.008304463168606162, "std_across_seeds": 0.0005410428815580668, "per_seed_means": [ 0.00755697955765451, 0.008819775762191662, 0.008536634185972313 ] }, "20": { "mean_across_seeds": 0.005037364546959806, "std_across_seeds": 0.0004860118497491869, "per_seed_means": [ 0.004630992590682581, 0.00572061057551764, 0.004760490474679197 ] }, "30": { "mean_across_seeds": 0.003402677008933905, "std_across_seeds": 0.0005495050355643191, "per_seed_means": [ 0.0028194241718544314, 0.003249561061384156, 0.004139045793563128 ] }, "50": { "mean_across_seeds": 0.0022955730223071036, "std_across_seeds": 0.00032195150800856534, "per_seed_means": [ 0.0018683485605288297, 0.0023728452197974547, 0.0026455252865950265 ] }, "100": { "mean_across_seeds": 0.0012311791702975623, "std_across_seeds": 0.00021720799356486474, "per_seed_means": [ 0.0009818656951150237, 0.0012004297882473717, 0.0015112420275302915 ] }, "200": { "mean_across_seeds": 0.0006159267034672667, "std_across_seeds": 0.00016324775670508771, "per_seed_means": [ 0.00038703462055612663, 0.0007042756974018024, 0.0007564697924438709 ] }, "500": { "mean_across_seeds": 0.00033591168693318545, "std_across_seeds": 0.00011815002481030313, "per_seed_means": [ 0.0001744628540230527, 0.00045391677274892573, 0.00037935543402757804 ] }, "1000": { "mean_across_seeds": 0.0002568992384011734, "std_across_seeds": 0.00010632737830411309, "per_seed_means": [ 0.00010659140847565141, 0.00032832029080964275, 0.00033578601591822613 ] }, "2000": { "mean_across_seeds": 0.00014454515663096066, "std_across_seeds": 6.508330086377912e-05, "per_seed_means": [ 5.251373916507873e-05, 0.00018937018219730817, 0.0001917515485304951 ] } }, "fit_power_law": { "gamma": 0.7479961324735662, "log_A": -3.2257978430772267, "R2": 0.988937, "n_points": 7 }, "fit_exponential": { "lambda": 0.0013723290915239371, "log_A": -6.519271668207533, "R2": 0.717382, "n_points": 7 }, "delta_R2_power_minus_exp": 0.2716, "gamma_CI_95": { "lo": 0.6597674707909884, "hi": 0.8631975695160649 }, "decision": "CONFIRMED: \u03b3 law holds (\u03b3\u00d7ln(\u03b8) = C)" }