{ "description": "Seed/probe variance study: 10 pairs \u00d7 5 seeds \u00d7 4 probe architectures", "n_pairs": 10, "seeds": [ 42, 123, 456, 789, 1234 ], "probes": [ "linear", "mlp_2", "mlp_2_wide", "mlp_3" ], "results": [ { "pair": "clip_vitb16 <-> clip_vitl14", "probes": { "linear": { "tau_mean": 0.7259, "tau_std": 0.002, "tau_range": [ 0.723, 0.7281 ], "regime_stability": 1.0, "per_seed": [ 0.7277, 0.7245, 0.7263, 0.723, 0.7281 ] }, "mlp_2": { "tau_mean": 0.7083, "tau_std": 0.0022, "tau_range": [ 0.705, 0.7112 ], "regime_stability": 1.0, "per_seed": [ 0.71, 0.7068, 0.7086, 0.705, 0.7112 ] }, "mlp_2_wide": { "tau_mean": 0.712, "tau_std": 0.0023, "tau_range": [ 0.7084, 0.715 ], "regime_stability": 1.0, "per_seed": [ 0.7136, 0.7106, 0.7122, 0.7084, 0.715 ] }, "mlp_3": { "tau_mean": 0.7122, "tau_std": 0.0024, "tau_range": [ 0.7086, 0.7159 ], "regime_stability": 1.0, "per_seed": [ 0.7134, 0.7109, 0.7121, 0.7086, 0.7159 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "clip_vitb32 <-> clip_vitb16", "probes": { "linear": { "tau_mean": 0.6258, "tau_std": 0.0035, "tau_range": [ 0.6213, 0.63 ], "regime_stability": 1.0, "per_seed": [ 0.6258, 0.63, 0.6213, 0.6292, 0.6225 ] }, "mlp_2": { "tau_mean": 0.6166, "tau_std": 0.0039, "tau_range": [ 0.6116, 0.6218 ], "regime_stability": 1.0, "per_seed": [ 0.6168, 0.6218, 0.6116, 0.6201, 0.6129 ] }, "mlp_2_wide": { "tau_mean": 0.6157, "tau_std": 0.0037, "tau_range": [ 0.6109, 0.6205 ], "regime_stability": 1.0, "per_seed": [ 0.616, 0.6205, 0.6109, 0.619, 0.6124 ] }, "mlp_3": { "tau_mean": 0.6324, "tau_std": 0.0044, "tau_range": [ 0.627, 0.6385 ], "regime_stability": 1.0, "per_seed": [ 0.6324, 0.6385, 0.627, 0.6358, 0.6282 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "resnet50 <-> resnet101", "probes": { "linear": { "tau_mean": 0.6357, "tau_std": 0.0083, "tau_range": [ 0.6257, 0.6468 ], "regime_stability": 1.0, "per_seed": [ 0.6468, 0.6359, 0.6257, 0.6273, 0.6428 ] }, "mlp_2": { "tau_mean": 0.468, "tau_std": 0.0046, "tau_range": [ 0.4614, 0.4754 ], "regime_stability": 1.0, "per_seed": [ 0.4754, 0.4658, 0.4614, 0.4679, 0.4698 ] }, "mlp_2_wide": { "tau_mean": 0.4854, "tau_std": 0.0044, "tau_range": [ 0.4797, 0.4922 ], "regime_stability": 1.0, "per_seed": [ 0.4922, 0.4828, 0.4797, 0.484, 0.4882 ] }, "mlp_3": { "tau_mean": 0.3741, "tau_std": 0.0036, "tau_range": [ 0.369, 0.3781 ], "regime_stability": 1.0, "per_seed": [ 0.3764, 0.3706, 0.369, 0.3781, 0.3763 ] } }, "cross_probe_regime_stability": 0.25 }, { "pair": "convnext_base <-> convnext_large", "probes": { "linear": { "tau_mean": 0.7735, "tau_std": 0.0033, "tau_range": [ 0.7692, 0.7789 ], "regime_stability": 1.0, "per_seed": [ 0.7725, 0.775, 0.7718, 0.7789, 0.7692 ] }, "mlp_2": { "tau_mean": 0.7358, "tau_std": 0.0035, "tau_range": [ 0.7316, 0.742 ], "regime_stability": 1.0, "per_seed": [ 0.735, 0.7366, 0.734, 0.742, 0.7316 ] }, "mlp_2_wide": { "tau_mean": 0.746, "tau_std": 0.0034, "tau_range": [ 0.7419, 0.752 ], "regime_stability": 1.0, "per_seed": [ 0.745, 0.7469, 0.744, 0.752, 0.7419 ] }, "mlp_3": { "tau_mean": 0.7229, "tau_std": 0.0038, "tau_range": [ 0.7185, 0.7298 ], "regime_stability": 1.0, "per_seed": [ 0.7217, 0.7235, 0.7211, 0.7298, 0.7185 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "dinov2_vitb14 <-> dinov2_vitl14", "probes": { "linear": { "tau_mean": 0.2392, "tau_std": 0.0069, "tau_range": [ 0.2336, 0.2527 ], "regime_stability": 1.0, "per_seed": [ 0.2378, 0.2336, 0.2359, 0.2527, 0.2358 ] }, "mlp_2": { "tau_mean": 0.2145, "tau_std": 0.0067, "tau_range": [ 0.2086, 0.2275 ], "regime_stability": 1.0, "per_seed": [ 0.2137, 0.2086, 0.2115, 0.2275, 0.2113 ] }, "mlp_2_wide": { "tau_mean": 0.2229, "tau_std": 0.0068, "tau_range": [ 0.2169, 0.236 ], "regime_stability": 1.0, "per_seed": [ 0.2221, 0.2169, 0.2198, 0.236, 0.2197 ] }, "mlp_3": { "tau_mean": 0.2018, "tau_std": 0.0065, "tau_range": [ 0.1958, 0.2144 ], "regime_stability": 1.0, "per_seed": [ 0.2012, 0.1958, 0.1988, 0.2144, 0.1987 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "dinov2_vits14 <-> dinov2_vitb14", "probes": { "linear": { "tau_mean": 0.4686, "tau_std": 0.0105, "tau_range": [ 0.4548, 0.4812 ], "regime_stability": 1.0, "per_seed": [ 0.4608, 0.4548, 0.4812, 0.4802, 0.4661 ] }, "mlp_2": { "tau_mean": 0.4476, "tau_std": 0.0107, "tau_range": [ 0.4334, 0.4602 ], "regime_stability": 1.0, "per_seed": [ 0.4397, 0.4334, 0.4602, 0.4597, 0.4451 ] }, "mlp_2_wide": { "tau_mean": 0.4501, "tau_std": 0.0106, "tau_range": [ 0.436, 0.4632 ], "regime_stability": 1.0, "per_seed": [ 0.4426, 0.436, 0.4632, 0.4614, 0.4471 ] }, "mlp_3": { "tau_mean": 0.4315, "tau_std": 0.0105, "tau_range": [ 0.4177, 0.4439 ], "regime_stability": 1.0, "per_seed": [ 0.4231, 0.4177, 0.4439, 0.443, 0.4297 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "vit_base_patch16_224.mae <-> vit_base_patch16_224", "probes": { "linear": { "tau_mean": 0.1357, "tau_std": 0.0077, "tau_range": [ 0.1256, 0.1475 ], "regime_stability": 1.0, "per_seed": [ 0.1256, 0.1475, 0.1376, 0.1289, 0.1387 ] }, "mlp_2": { "tau_mean": 0.1263, "tau_std": 0.0072, "tau_range": [ 0.1176, 0.1379 ], "regime_stability": 1.0, "per_seed": [ 0.1176, 0.1379, 0.1284, 0.1199, 0.1279 ] }, "mlp_2_wide": { "tau_mean": 0.1253, "tau_std": 0.0071, "tau_range": [ 0.1168, 0.1369 ], "regime_stability": 1.0, "per_seed": [ 0.1168, 0.1369, 0.1271, 0.1189, 0.1269 ] }, "mlp_3": { "tau_mean": 0.1309, "tau_std": 0.0074, "tau_range": [ 0.1217, 0.1426 ], "regime_stability": 1.0, "per_seed": [ 0.1217, 0.1426, 0.1332, 0.1245, 0.1325 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "beit_base_patch16_224 <-> resnet50", "probes": { "linear": { "tau_mean": 0.0703, "tau_std": 0.0066, "tau_range": [ 0.0634, 0.0812 ], "regime_stability": 1.0, "per_seed": [ 0.065, 0.0676, 0.0812, 0.0634, 0.0745 ] }, "mlp_2": { "tau_mean": 0.0613, "tau_std": 0.0061, "tau_range": [ 0.055, 0.0714 ], "regime_stability": 1.0, "per_seed": [ 0.0559, 0.0593, 0.0714, 0.055, 0.0649 ] }, "mlp_2_wide": { "tau_mean": 0.0622, "tau_std": 0.0058, "tau_range": [ 0.0561, 0.0716 ], "regime_stability": 1.0, "per_seed": [ 0.0571, 0.0604, 0.0716, 0.0561, 0.066 ] }, "mlp_3": { "tau_mean": 0.042, "tau_std": 0.0038, "tau_range": [ 0.0379, 0.0481 ], "regime_stability": 1.0, "per_seed": [ 0.0379, 0.041, 0.0481, 0.0384, 0.0446 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "dinov2_vitb14 <-> clip_vitb16", "probes": { "linear": { "tau_mean": 0.0212, "tau_std": 0.0013, "tau_range": [ 0.0192, 0.0234 ], "regime_stability": 1.0, "per_seed": [ 0.0234, 0.0213, 0.0192, 0.0212, 0.0208 ] }, "mlp_2": { "tau_mean": 0.0191, "tau_std": 0.0012, "tau_range": [ 0.0174, 0.0211 ], "regime_stability": 1.0, "per_seed": [ 0.0211, 0.0191, 0.0174, 0.0192, 0.0188 ] }, "mlp_2_wide": { "tau_mean": 0.0197, "tau_std": 0.0012, "tau_range": [ 0.0179, 0.0218 ], "regime_stability": 1.0, "per_seed": [ 0.0218, 0.0198, 0.0179, 0.0198, 0.0194 ] }, "mlp_3": { "tau_mean": 0.0185, "tau_std": 0.0012, "tau_range": [ 0.0169, 0.0205 ], "regime_stability": 1.0, "per_seed": [ 0.0205, 0.0185, 0.0169, 0.0186, 0.0181 ] } }, "cross_probe_regime_stability": 1.0 }, { "pair": "clip_vitb16 <-> resnet50", "probes": { "linear": { "tau_mean": 0.4241, "tau_std": 0.0021, "tau_range": [ 0.4204, 0.4267 ], "regime_stability": 1.0, "per_seed": [ 0.4249, 0.4246, 0.4204, 0.4239, 0.4267 ] }, "mlp_2": { "tau_mean": 0.3771, "tau_std": 0.0024, "tau_range": [ 0.3734, 0.3801 ], "regime_stability": 1.0, "per_seed": [ 0.3787, 0.3756, 0.3734, 0.378, 0.3801 ] }, "mlp_2_wide": { "tau_mean": 0.3813, "tau_std": 0.0025, "tau_range": [ 0.3778, 0.3849 ], "regime_stability": 1.0, "per_seed": [ 0.3825, 0.3795, 0.3778, 0.382, 0.3849 ] }, "mlp_3": { "tau_mean": 0.3384, "tau_std": 0.0031, "tau_range": [ 0.3336, 0.3429 ], "regime_stability": 1.0, "per_seed": [ 0.3381, 0.337, 0.3336, 0.3404, 0.3429 ] } }, "cross_probe_regime_stability": 1.0 } ], "summary": { "median_tau_std_across_seeds": 0.0039, "max_tau_std": 0.0107, "median_regime_stability_within_probe": 1.0, "pairs_with_cross_probe_agreement_ge_75pct": 9, "total_pairs": 10 } }