Datasets:
Tasks:
Other
Formats:
json
Languages:
English
Size:
1K - 10K
Tags:
photonic-computing
recursive-self-improvement
statistical-experiments
blackwell-order
information-preservation
gaussian-readout
| { | |
| "status": "PASS", | |
| "seed": 731, | |
| "known_context_cases": 128, | |
| "rank_increment_identity_checks": 128, | |
| "required_reference_deletion_checks": 128, | |
| "future_interface_cases": 90, | |
| "strict_naive_future_contract_losses": 90, | |
| "max_known_context_relative_information_error": 2.0841237094270004e-15, | |
| "max_future_contract_relative_information_error": 2.908787601858244e-13, | |
| "future_interface_theorem": "For known Y=H theta+epsilon with epsilon~N(0,I), Q.T Y preserves the full joint experiment with every Z=D theta+B epsilon+eta whose B rows lie in E iff im(H)+E is contained in im(Q).", | |
| "exact_minimum_retained_modes": "dim(im(H)+E)", | |
| "exact_known_context_reference_minimum": "rank(G.T S^-1 C)=rank(J_full-J_T), conditional on keeping T fixed", | |
| "reference_counterexample": { | |
| "rho": 0.99, | |
| "current_marginal_information_before": 1.0, | |
| "current_marginal_information_after": 1.0, | |
| "future_joint_information_full": 51.25125628140696, | |
| "future_joint_information_naive": 2.0, | |
| "lost_information": 49.25125628140696, | |
| "full_unbiased_variance": 0.01951171683498385, | |
| "naive_unbiased_variance": 0.5, | |
| "conclusion": "Marginally sufficient local compression is not sufficient after correlated extension.", | |
| "unbounded_penalty_limit": "The information loss diverges as rho increases to one." | |
| }, | |
| "coordination_cost_oracle": { | |
| "local_reference_modules": 16, | |
| "full_physical_modes": 17, | |
| "fixed_semantic_modes": 1, | |
| "centralized_reference_modes": 1, | |
| "separate_local_reference_exports": 16, | |
| "coherent_to_local_reference_count_ratio": 16, | |
| "full_information": 24.999999999999996, | |
| "naive_information": 1.0, | |
| "repaired_information": 25.00000000000019, | |
| "unrestricted_global_oracle_information": 24.99999999999987, | |
| "unrestricted_global_oracle_total_modes": 1, | |
| "completed_total_modes": 2, | |
| "fixed_cost": 0.2, | |
| "per_detector_cost": 0.05, | |
| "source_cost": 1.0, | |
| "extra_mixer_cost": 0.15, | |
| "full_cost": 2.05, | |
| "repaired_cost": 1.45, | |
| "unrestricted_global_oracle_cost": 1.4, | |
| "completed_cost_reduction_fraction": 0.2926829268292683, | |
| "completed_physical_mode_reduction_fraction": 0.8823529411764706, | |
| "resource_units": "abstract common units, unchanged exposure, known covariance", | |
| "oracle_scope": "Global score oracle is stronger and uses fewer total modes; two-mode repair is minimal only while keeping the original semantic output fixed.", | |
| "hardware_scope": "Passive real-mode mixing and noiseless linear readout are model assumptions; actual insertion loss, source, detector, reference and calibration costs must be measured." | |
| }, | |
| "proof_scope": "All Gaussian means and covariances are known; linear optical mode exports; unconstrained theta; all allowed future D and positive definite independent eta covariance. No generic statistical-priority claim.", | |
| "physical_validation_percent": 0, | |
| "neural_benchmarks": 0, | |
| "checks": { | |
| "known_context": [ | |
| { | |
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| "increment_identity_relative_error": 1.0976498621249242e-17, | |
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| "full_information_trace": 0.33026684658622585, | |
| "required_reference_deletion_trace_loss": 0.09077680219167766 | |
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| "completed_relative_information_error": 4.07965325156069e-17, | |
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