{ "device": "cuda", "seed": 2854, "core_math": { "target_equivariance_max_abs": 0.0, "target_value_invariance_max_abs": 0.0 }, "predictions": { "P1": "exact target residuals should be zero", "P2": "eq_error decreases with lambda_eq", "P3": "value_invariance decreases with lambda_v" }, "equivariance_sweep": [ { "lambda_eq": 0.0, "eq_error": 0.015910927206277847, "value_invariance": 0.00923738069832325, "canonical_mse": 0.00015656309551559389, "transformed_mse": 0.0001599600655026734 }, { "lambda_eq": 0.03, "eq_error": 0.013291101902723312, "value_invariance": 0.008584478870034218, "canonical_mse": 0.00010319300781702623, "transformed_mse": 0.00010051406570710242 }, { "lambda_eq": 0.1, "eq_error": 0.011657794937491417, "value_invariance": 0.007666226476430893, "canonical_mse": 0.0001495519099989906, "transformed_mse": 0.00015336080105043948 }, { "lambda_eq": 0.3, "eq_error": 0.006351675372570753, "value_invariance": 0.010713014751672745, "canonical_mse": 0.00012270035222172737, "transformed_mse": 0.0001229585031978786 }, { "lambda_eq": 1.0, "eq_error": 0.022295624017715454, "value_invariance": 0.012789005413651466, "canonical_mse": 0.00019733374938368797, "transformed_mse": 0.00020098048844374716 } ], "value_sweep": [ { "lambda_v": 0.0, "eq_error": 0.005819602403789759, "value_invariance": 0.007328704930841923, "canonical_mse": 0.00013409263920038939, "transformed_mse": 0.00013548567949328572 }, { "lambda_v": 0.03, "eq_error": 0.015905272215604782, "value_invariance": 0.010465560480952263, "canonical_mse": 0.00017110300541389734, "transformed_mse": 0.0001707408227957785 }, { "lambda_v": 0.1, "eq_error": 0.016019191592931747, "value_invariance": 0.007124156691133976, "canonical_mse": 0.00010748900240287185, "transformed_mse": 0.00010836163710337132 }, { "lambda_v": 0.3, "eq_error": 0.01917118951678276, "value_invariance": 0.003987547941505909, "canonical_mse": 0.00020443039829842746, "transformed_mse": 0.00020101213885936886 } ], "checks": { "p1_pass": true, "p2_monotone_pass": false, "p2_fold_reduction": 0.7136345317644165, "p2_expected_at_least_5x": false, "p3_monotone_pass": false }, "baseline": { "lambda_eq": 0.0, "eq_error": 0.015910927206277847, "value_invariance": 0.00923738069832325, "canonical_mse": 0.00015656309551559389, "transformed_mse": 0.0001599600655026734 }, "idea": { "lambda_eq": 1.0, "eq_error": 0.022295624017715454, "value_invariance": 0.012789005413651466, "canonical_mse": 0.00019733374938368797, "transformed_mse": 0.00020098048844374716 } }