{ "summary": { "total": 26, "errors": 0, "unique_matrix_hashes": 26, "unique_canonical_hashes": 26, "proxy_accuracy": 0.0, "exact_accuracy": 0.0, "matrix_hash_collisions": 0, "canonical_hash_collisions": 0 }, "per_class_proxy": {}, "per_class_exact": {}, "zmp_distribution": { "RRC shape": { "mean": 8.0, "min": 8, "max": 8, "unique": 1 }, "---": { "mean": 8.0, "min": 8, "max": 8, "unique": 1 }, "CognitiveLoadField": { "mean": 8.0, "min": 8, "max": 8, "unique": 1 }, "SignalShapedRouteCompiler": { "mean": 8.0, "min": 8, "max": 8, "unique": 1 } }, "predictions": [ { "equation": "Equation", "ground_truth": "RRC shape", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.6036, 0.5, 0.25, -0.1036, -0.25, -0.25, -0.25, -0.5 ], "singular_values": [ 0.6036, 0.5, 0.5, 0.25, 0.25, 0.25, 0.25, 0.1036 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.16071428571428573, "strand_entropy": 2.9974236247346657, "spectral_gap": 0.1036, "matrix_hash": "33949abaad16e26d", "canonical_hash": "6bb6183b7f8f3b35" }, { "equation": "---", "ground_truth": "---", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.6016, 0.5187, 0.1689, 0.0282, -0.25, -0.25, -0.3559, -0.4615 ], "singular_values": [ 0.6016, 0.5187, 0.4615, 0.3559, 0.25, 0.25, 0.1689, 0.0282 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.16071428571428573, "strand_entropy": 2.9999170683359617, "spectral_gap": 0.0829, "matrix_hash": "3d78e152b7056998", "canonical_hash": "7c0a0490cf9150d8" }, { "equation": "bandwidth_adjusted_threshold", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "CadForceProbeReceipt", "zmp": 8, "eigenvalues": [ 0.6114, 0.1992, 0.0, 0.0, -0.0, -0.0, -0.3426, -0.4681 ], "singular_values": [ 0.6114, 0.4681, 0.3426, 0.1992, 0.0, 0.0, 0.0, 0.0 ], "laplacian_zero_count": 3, "rank_estimate": 4, "crossing_density": 0.10714285714285714, "strand_entropy": 2.5849624907850903, "spectral_gap": 0.4122, "matrix_hash": "37eced1081168929", "canonical_hash": "fa887f293db83360" }, { "equation": "bandwidth_overflow", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.7337, 0.3736, 0.25, 0.1319, -0.25, -0.25, -0.4563, -0.5328 ], "singular_values": [ 0.7337, 0.5328, 0.4563, 0.3736, 0.25, 0.25, 0.25, 0.1319 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.19642857142857142, "strand_entropy": 2.999999983246879, "spectral_gap": 0.3601, "matrix_hash": "3928376682f8db56", "canonical_hash": "9221ac4c055890aa" }, { "equation": "effective_cognitive_load", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.8921, 0.319, 0.1575, 0.0708, -0.0572, -0.283, -0.4785, -0.6208 ], "singular_values": [ 0.8921, 0.6208, 0.4785, 0.319, 0.283, 0.1575, 0.0708, 0.0572 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.23214285714285715, "strand_entropy": 2.999999987605606, "spectral_gap": 0.573, "matrix_hash": "165640b1f1d32885", "canonical_hash": "80bad4c3c6dbb958" }, { "equation": "emotional_gate", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 1.104, 0.2821, 0.138, -0.0, -0.1783, -0.2928, -0.4539, -0.5992 ], "singular_values": [ 1.104, 0.5992, 0.4539, 0.2928, 0.2821, 0.1783, 0.138, 0.0 ], "laplacian_zero_count": 1, "rank_estimate": 7, "crossing_density": 0.2857142857142857, "strand_entropy": 2.999999985983328, "spectral_gap": 0.8218, "matrix_hash": "dc7aeb7e4d66b223", "canonical_hash": "5162e2b1b5d30bda" }, { "equation": "emotional_load", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.627, 0.3787, 0.1612, 0.0, -0.0, -0.1612, -0.3787, -0.627 ], "singular_values": [ 0.627, 0.627, 0.3787, 0.3787, 0.1612, 0.1612, 0.0, 0.0 ], "laplacian_zero_count": 1, "rank_estimate": 6, "crossing_density": 0.16071428571428573, "strand_entropy": 2.999996535408094, "spectral_gap": 0.2483, "matrix_hash": "43a54de905c4c91d", "canonical_hash": "f23213ec0f5adb9a" }, { "equation": "emotional_offload", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.8634, 0.325, 0.18, 0.0343, -0.1591, -0.2155, -0.4274, -0.6007 ], "singular_values": [ 0.8634, 0.6007, 0.4274, 0.325, 0.2155, 0.18, 0.1591, 0.0343 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.21428571428571427, "strand_entropy": 2.9999999830262256, "spectral_gap": 0.5384, "matrix_hash": "d8cc28888f9f6e71", "canonical_hash": "1ceea34138f8d08f" }, { "equation": "historical_emotional_barrier", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.5743, 0.3733, 0.16, 0.0, -0.1158, -0.25, -0.25, -0.4918 ], "singular_values": [ 0.5743, 0.4918, 0.3733, 0.25, 0.25, 0.16, 0.1158, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 7, "crossing_density": 0.125, "strand_entropy": 2.8073265465749166, "spectral_gap": 0.2009, "matrix_hash": "f1d0144b6cd77864", "canonical_hash": "e88f17e29e48b894" }, { "equation": "historical_emotional_temperature", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.747, 0.3918, 0.1921, 0.0, -0.1476, -0.3167, -0.3886, -0.478 ], "singular_values": [ 0.747, 0.478, 0.0, 0.3918, 0.3886, 0.3167, 0.1921, 0.1476 ], "laplacian_zero_count": 1, "rank_estimate": 7, "crossing_density": 0.17857142857142858, "strand_entropy": 2.9999964254686073, "spectral_gap": 0.3553, "matrix_hash": "b027ecf052c22219", "canonical_hash": "e97c1d9946cf25fb" }, { "equation": "historical_offload_efficiency", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.861, 0.3186, 0.2008, -0.0, -0.098, -0.1688, -0.3519, -0.7616 ], "singular_values": [ 0.861, 0.7616, 0.3519, 0.3186, 0.2008, 0.1688, 0.098, 0.0 ], "laplacian_zero_count": 1, "rank_estimate": 7, "crossing_density": 0.23214285714285715, "strand_entropy": 2.999999993779257, "spectral_gap": 0.5424, "matrix_hash": "b035031ca4fdf769", "canonical_hash": "d032ff2d4364998f" }, { "equation": "overflow_gate", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.5731, 0.332, 0.1713, 0.1545, -0.0612, -0.2277, -0.4045, -0.5375 ], "singular_values": [ 0.5731, 0.5375, 0.4045, 0.332, 0.2277, 0.1713, 0.1545, 0.0612 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.14285714285714285, "strand_entropy": 2.9999996117526866, "spectral_gap": 0.241, "matrix_hash": "0cdd94495ead7bf7", "canonical_hash": "d762cd7369048546" }, { "equation": "raw_cognitive_load", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 1.0067, 0.25, 0.1919, 0.0345, -0.1445, -0.25, -0.3378, -0.7508 ], "singular_values": [ 1.0067, 0.7508, 0.3378, 0.25, 0.25, 0.1919, 0.1445, 0.0345 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.26785714285714285, "strand_entropy": 2.9999999978661074, "spectral_gap": 0.7567, "matrix_hash": "a67615298b60dca7", "canonical_hash": "3674e0a7de950bbd" }, { "equation": "residual_stress", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.8253, 0.3081, 0.0, 0.0, -0.0, -0.25, -0.3382, -0.5451 ], "singular_values": [ 0.8253, 0.5451, 0.3382, 0.3081, 0.25, 0.0, 0.0, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 5, "crossing_density": 0.17857142857142858, "strand_entropy": 2.807354429293209, "spectral_gap": 0.5172, "matrix_hash": "1ec9ce0dffd2518e", "canonical_hash": "45faa11774fbd91c" }, { "equation": "threshold", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.5536, 0.25, 0.25, 0.0, -0.0, -0.1348, -0.4188, -0.5 ], "singular_values": [ 0.5536, 0.5, 0.4188, 0.25, 0.25, 0.1348, 0.0, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 6, "crossing_density": 0.125, "strand_entropy": 2.8073548912348407, "spectral_gap": 0.3036, "matrix_hash": "b34c3825d3e8a787", "canonical_hash": "aa9fa673c27ca057" }, { "equation": "total_protective_load", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.7484, 0.3156, 0.1645, -0.0, -0.1519, -0.25, -0.3397, -0.4871 ], "singular_values": [ 0.7484, 0.4871, 0.3397, 0.3156, 0.25, 0.1645, 0.1519, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 7, "crossing_density": 0.16071428571428573, "strand_entropy": 2.8073548769280863, "spectral_gap": 0.4328, "matrix_hash": "7c51705dadc8748b", "canonical_hash": "1ab00574c5df0a37" }, { "equation": "trauma_adjusted_emotional_barrier", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.816, 0.2769, 0.1948, 0.0603, -0.0977, -0.2297, -0.4471, -0.5733 ], "singular_values": [ 0.816, 0.5733, 0.4471, 0.2769, 0.2297, 0.1948, 0.0977, 0.0603 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.19642857142857142, "strand_entropy": 2.9999999818271634, "spectral_gap": 0.5391, "matrix_hash": "674fe9dfa12eca24", "canonical_hash": "0bb5b2fb18c4bbf1" }, { "equation": "trauma_adjusted_emotional_temperature", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.5339, 0.5, 0.1655, 0.0, -0.1655, -0.25, -0.25, -0.5339 ], "singular_values": [ 0.5339, 0.5339, 0.5, 0.25, 0.25, 0.1655, 0.1655, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 7, "crossing_density": 0.14285714285714285, "strand_entropy": 2.8320318356394223, "spectral_gap": 0.0339, "matrix_hash": "77bd49439e28de1b", "canonical_hash": "9f0b661c87322593" }, { "equation": "trauma_adjusted_offload_efficiency", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.6451, 0.3786, 0.1972, -0.0, -0.0, -0.2692, -0.4517, -0.5 ], "singular_values": [ 0.6451, 0.5, 0.4517, 0.3786, 0.2692, 0.1972, 0.0, 0.0 ], "laplacian_zero_count": 1, "rank_estimate": 6, "crossing_density": 0.16071428571428573, "strand_entropy": 2.99999917639906, "spectral_gap": 0.2666, "matrix_hash": "601a5c7ef164d8c0", "canonical_hash": "83a3885983c845ca" }, { "equation": "trauma_adjusted_threshold", "ground_truth": "CognitiveLoadField", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.6311, 0.25, 0.1981, 0.0, -0.0, -0.1981, -0.25, -0.6311 ], "singular_values": [ 0.6311, 0.6311, 0.25, 0.25, 0.1981, 0.1981, 0.0, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 6, "crossing_density": 0.14285714285714285, "strand_entropy": 2.8073548999723985, "spectral_gap": 0.3811, "matrix_hash": "b067e08c7a7a316c", "canonical_hash": "221c3db7cbca41d9" }, { "equation": "core_equations", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "CadForceProbeReceipt", "zmp": 8, "eigenvalues": [ 0.6486, 0.229, 0.0, 0.0, 0.0, -0.0, -0.3471, -0.5305 ], "singular_values": [ 0.6486, 0.5305, 0.3471, 0.229, 0.0, 0.0, 0.0, 0.0 ], "laplacian_zero_count": 2, "rank_estimate": 4, "crossing_density": 0.125, "strand_entropy": 2.807354901721629, "spectral_gap": 0.4196, "matrix_hash": "4c4a8d48547219a3", "canonical_hash": "e6be0f1560c04c66" }, { "equation": "field_mapping", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.5713, 0.3634, 0.172, 0.1094, -0.1094, -0.172, -0.3634, -0.5713 ], "singular_values": [ 0.5713, 0.5713, 0.3634, 0.3634, 0.172, 0.172, 0.1094, 0.1094 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.14285714285714285, "strand_entropy": 2.9997214687556726, "spectral_gap": 0.208, "matrix_hash": "991db9fa3a2754bc", "canonical_hash": "e9cde7ce6f3b5db9" }, { "equation": "source_domain", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.8268, 0.3888, 0.2703, -0.0624, -0.1865, -0.25, -0.4487, -0.5382 ], "singular_values": [ 0.8268, 0.5382, 0.4487, 0.3888, 0.2703, 0.25, 0.1865, 0.0624 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.21428571428571427, "strand_entropy": 2.999999970061503, "spectral_gap": 0.438, "matrix_hash": "5bcad2600ca15cc4", "canonical_hash": "a9e76493cae5b3c9" }, { "equation": "target_domain", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.9383, 0.283, 0.2005, 0.0271, -0.1387, -0.3086, -0.4398, -0.5617 ], "singular_values": [ 0.9383, 0.5617, 0.4398, 0.3086, 0.283, 0.2005, 0.1387, 0.0271 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.23214285714285715, "strand_entropy": 2.9999999974290796, "spectral_gap": 0.6553, "matrix_hash": "a213cc28bc6c52d8", "canonical_hash": "24e1ce749a71b137" }, { "equation": "heat_loss", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.9877, 0.3993, 0.1822, -0.0813, -0.1442, -0.25, -0.45, -0.6437 ], "singular_values": [ 0.9877, 0.6437, 0.45, 0.3993, 0.25, 0.1822, 0.1442, 0.0813 ], "laplacian_zero_count": 1, "rank_estimate": 8, "crossing_density": 0.26785714285714285, "strand_entropy": 2.999999992757774, "spectral_gap": 0.5883, "matrix_hash": "d3c78960211d820b", "canonical_hash": "fb8ae4632aab63da" }, { "equation": "magnetic_projection", "ground_truth": "SignalShapedRouteCompiler", "proxy_pred": "LogogramProjection", "exact_pred": "LogogramProjection", "zmp": 8, "eigenvalues": [ 0.7388, 0.3297, 0.2331, -0.0, -0.1616, -0.1858, -0.3643, -0.5898 ], "singular_values": [ 0.7388, 0.5898, 0.3643, 0.3297, 0.2331, 0.1858, 0.1616, 0.0 ], "laplacian_zero_count": 1, "rank_estimate": 7, "crossing_density": 0.17857142857142858, "strand_entropy": 2.9999999353526676, "spectral_gap": 0.4091, "matrix_hash": "c0222068f79da5aa", "canonical_hash": "bbe3c982db3cfd07" } ] }