Datasets:
Formats:
csv
Languages:
English
Size:
< 1K
Tags:
mathematics
linear-algebra
convex-optimization
optimal-recovery
neural-representations
robustness
| { | |
| "release": "3.0.0", | |
| "seed": 2026101303, | |
| "status": "PASS", | |
| "python": "3.13.5", | |
| "numpy": "2.3.5", | |
| "scipy": "1.17.0", | |
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| { | |
| "name": "two_matrix_primal_dual_certificates", | |
| "status": "PASS", | |
| "cases": 150, | |
| "max_residual": 1.636954875243968e-14, | |
| "interpretation": "" | |
| }, | |
| { | |
| "name": "determinant_budget_reconstruction", | |
| "status": "PASS", | |
| "cases": 400, | |
| "max_residual": 6.661338147750939e-15, | |
| "interpretation": "" | |
| }, | |
| { | |
| "name": "noncommuting_closed_form_frontier", | |
| "status": "PASS", | |
| "cases": 61, | |
| "max_residual": 9.931705480248354e-08, | |
| "interpretation": "All B regimes, including the transition." | |
| }, | |
| { | |
| "name": "primal_dual_frontier_bracketing", | |
| "status": "PASS", | |
| "cases": 4, | |
| "max_residual": 8.871813453881217e-07, | |
| "interpretation": "Floating bounds; exact formula is an independent comparator." | |
| }, | |
| { | |
| "name": "general_noncommuting_envelope_solver", | |
| "status": "PASS", | |
| "cases": 45, | |
| "max_residual": 3.600000001185988e-06, | |
| "interpretation": "Known-certificate families, d=2..6." | |
| }, | |
| { | |
| "name": "tensor_envelope_certificates", | |
| "status": "PASS", | |
| "cases": 35, | |
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| "interpretation": "Includes ten independent 4D barrier comparisons." | |
| }, | |
| { | |
| "name": "direct_sum_envelope_composition", | |
| "status": "PASS", | |
| "cases": 25, | |
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| "interpretation": "" | |
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| { | |
| "name": "nonassociative_memory_witness", | |
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| "interpretation": "" | |
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| { | |
| "name": "common_envelope_memory_domination", | |
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| "max_residual": 0.0, | |
| "interpretation": "" | |
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| { | |
| "name": "exact_infinite_ellipsoid_witness", | |
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| "interpretation": "" | |
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| { | |
| "name": "ellipsoid_two_resource_primal_dual_LP", | |
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| "interpretation": "" | |
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| { | |
| "name": "passive_unitary_dilation_identity", | |
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| "interpretation": "Standard operator identity, no hardware." | |
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| "name": "calibration_spectral_Lipschitz", | |
| "status": "PASS", | |
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| "max_residual": 0.0, | |
| "interpretation": "" | |
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| { | |
| "name": "falsification_average_is_not_robust", | |
| "status": "PASS", | |
| "cases": 1, | |
| "max_residual": 0.0, | |
| "interpretation": "Naive average overstates the weakest floor by a factor 5000.5." | |
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| ], | |
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| "decision": "feasible" | |
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| "decision": "feasible" | |
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| "decision": "feasible" | |
| }, | |
| { | |
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| "decision": "infeasible" | |
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| { | |
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| "decision": "infeasible" | |
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| { | |
| "target": 0.6657428084988681, | |
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| "barrier": 1e-08, | |
| "decision": "infeasible" | |
| }, | |
| { | |
| "target": 0.6657410341361774, | |
| "primal_capacity_twice": 2.2000014045078413, | |
| "dual_capacity_twice": 2.2000074045078413, | |
| "barrier": 1e-06, | |
| "decision": "feasible" | |
| }, | |
| { | |
| "target": 0.6657419213175227, | |
| "primal_capacity_twice": 2.2000007192612157, | |
| "dual_capacity_twice": 2.2000007792612166, | |
| "barrier": 1e-08, | |
| "decision": "feasible" | |
| } | |
| ], | |
| "status": "floating-point primal/dual bracket, not an interval certificate" | |
| } | |
| ], | |
| "scope": "Finite seeded consistency checks. Not formal proof verification, exhaustive novelty validation or physical validation." | |
| } |