{ "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": [ 164.76318992421022, 98.35371840802239, 70.45017282599972, 63.66916313826849, 53.66016961289566, 47.82230907919686, 36.868497014084596, 35.41409870847915, 31.923463220046003, 24.19533913234265, 16.110302116177632, 14.975938210897498 ], "effective_rank_participation": 36.948601648977025, "rank_for_90_percent": 235, "rank_for_99_percent": 256, "median_relative_gap": 2.4243955570735517e-05, "min_relative_gap_top20": 0.0031774989298545206 }, "text": { "top_eigenvalues": [ 133.86809603238817, 107.42968273502699, 97.43054104356617, 70.84732951921603, 67.52559303099846, 61.0931595120219, 37.49807510761304, 34.70420054832222, 29.285623461524054, 20.89123124423513, 15.653633086855598, 14.22029497566402 ], "effective_rank_participation": 37.778592431757225, "rank_for_90_percent": 231, "rank_for_99_percent": 256, "median_relative_gap": 3.0622586593801674e-10, "min_relative_gap_top20": 0.0015880669322487523 } }, "solvers": { "umeyama": { "accuracy": 0.0, "chance": 0.00390625 }, "grampa_eta3.0": { "accuracy": 0.08984375, "chance": 0.00390625 }, "grampa_eta5.0": { "accuracy": 0.06640625, "chance": 0.00390625 }, "grampa_eta8.0": { "accuracy": 0.03515625, "chance": 0.00390625 }, "grampa_eta12.0": { "accuracy": 0.02734375, "chance": 0.00390625 }, "grampa_eta20.0": { "accuracy": 0.0234375, "chance": 0.00390625 } }, "field_correlation_at_truth": 0.6707907421140975 }