{ "protocol": "Polynomial-time spectral solvers on N x N relation fields; embedding dimensions are irrelevant by construction. The hidden shuffle is applied to the text field and used only to score the returned assignment.", "samples": 256, "spectra": { "visual": { "top_eigenvalues": [ 173.58936943015493, 96.5966431722985, 73.9880164207959, 59.2566787798251, 45.56147102176048, 37.14216515953635, 34.18397554450124, 29.77003246359442, 27.04528073479335, 21.477065125047282, 17.434030610985833, 15.604237902815296 ], "effective_rank_participation": 35.97226004391897, "rank_for_90_percent": 235, "rank_for_99_percent": 256, "median_relative_gap": 3.819151448853615e-05, "min_relative_gap_top20": 0.000480814611403741 }, "text": { "top_eigenvalues": [ 133.86809698096567, 107.42968163933162, 97.43054166305068, 70.84733000657208, 67.52559319288596, 61.093159653673546, 37.49807515918148, 34.7042009500592, 29.28562344777695, 20.891230664856856, 15.65363265093253, 14.22029521310555 ], "effective_rank_participation": 37.778592574970936, "rank_for_90_percent": 231, "rank_for_99_percent": 256, "median_relative_gap": 3.068136276924476e-10, "min_relative_gap_top20": 0.001588063369249634 } }, "solvers": { "umeyama": { "accuracy": 0.01171875, "chance": 0.00390625 }, "grampa_eta1.0": { "accuracy": 0.05078125, "chance": 0.00390625 }, "grampa_eta2.0": { "accuracy": 0.046875, "chance": 0.00390625 }, "grampa_eta5.0": { "accuracy": 0.01953125, "chance": 0.00390625 }, "grampa_eta10.0": { "accuracy": 0.01171875, "chance": 0.00390625 }, "grampa_eta20.0": { "accuracy": 0.0, "chance": 0.00390625 }, "grampa_eta50.0": { "accuracy": 0.015625, "chance": 0.00390625 } }, "field_correlation_at_truth": 0.5695660173938809 }