Datasets:
Formats:
csv
Languages:
English
Size:
100K - 1M
Tags:
research-artifact
synthetic-data
mathematical-proofs
system-identification
inverse-problems
nonlinear-dynamics
License:
| { | |
| "title": "EVE Obstruction Tomography: Linear and Nonlinear Reconstruction from Feasibility and Cost", | |
| "version": "2.0.0", | |
| "date": "2026-09-20", | |
| "author_label": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", | |
| "research_owner": "Maciej Nowicki", | |
| "artifact_type": "unreviewed theoretical preprint, code, and synthetic research data", | |
| "ai_assisted": true, | |
| "public_deposit_url": null, | |
| "doi": null, | |
| "peer_reviewed": false, | |
| "physical_validation": false, | |
| "historical_priority_established": false, | |
| "licenses": { | |
| "code": "MIT", | |
| "documentation_and_data": "CC-BY-4.0" | |
| }, | |
| "funding_declaration": "No funding information was supplied; no funding source is asserted.", | |
| "conflicts_declaration": "Project ownership and AI-assisted preparation are disclosed. No separate human conflict-of-interest declaration was supplied.", | |
| "scope": "Finite linear cost identification and conditional compact nonlinear flow identification from quadratic mismatch; explicit access and uncertainty assumptions", | |
| "data_summary": { | |
| "data_kind": "synthetic only", | |
| "exact_cases": 30, | |
| "noise_cases": 120, | |
| "divergence_cases": 48, | |
| "precision_cells": 24, | |
| "precision_trials": 96000, | |
| "exact_ranks_correct": true, | |
| "exact_generator_relative_error_max": 1.0277287309299685e-13, | |
| "exact_holdout_kernel_relative_error_max": 2.2161675474134224e-14, | |
| "exact_kernel_baseline_difference_max": 9.597130530809074e-14, | |
| "noise_certificates_valid": 120, | |
| "noise_bound_violations": 0, | |
| "alias": { | |
| "omega": 7.3, | |
| "principal_generator_relative_error": 0.8607103160519981, | |
| "two_clock_generator_relative_error": 3.584218476801149e-15, | |
| "max_residual": 7.827576238404352e-14, | |
| "min_margin": 0.44283169475288003, | |
| "modal_offdiagonal_norm": 2.1611026601482046e-14, | |
| "omega_max": 40.0 | |
| }, | |
| "divergence_slopes": [ | |
| { | |
| "design": "scalar_chain", | |
| "mode": 0, | |
| "predicted_exponent": 0, | |
| "fitted_cost_exponent": 0.0078069144928373906, | |
| "support_fitted_exponent": 0.0078069144928376326, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "scalar_chain", | |
| "mode": 1, | |
| "predicted_exponent": 2, | |
| "fitted_cost_exponent": 1.9999565041497085, | |
| "support_fitted_exponent": 1.9999565041496963, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "scalar_chain", | |
| "mode": 2, | |
| "predicted_exponent": 4, | |
| "fitted_cost_exponent": 3.999969648956175, | |
| "support_fitted_exponent": 3.9999696482710196, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "scalar_chain", | |
| "mode": 3, | |
| "predicted_exponent": 6, | |
| "fitted_cost_exponent": 5.992266932401299, | |
| "support_fitted_exponent": 5.992268485696031, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "two_output_chain", | |
| "mode": 0, | |
| "predicted_exponent": 0, | |
| "fitted_cost_exponent": 0.01383478057168313, | |
| "support_fitted_exponent": 0.013834780571683176, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "two_output_chain", | |
| "mode": 1, | |
| "predicted_exponent": 0, | |
| "fitted_cost_exponent": 0.0017340251120889923, | |
| "support_fitted_exponent": 0.001734025112089103, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "two_output_chain", | |
| "mode": 2, | |
| "predicted_exponent": 2, | |
| "fitted_cost_exponent": 1.99493447512335, | |
| "support_fitted_exponent": 1.9949344751231664, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| }, | |
| { | |
| "design": "two_output_chain", | |
| "mode": 3, | |
| "predicted_exponent": 2, | |
| "fitted_cost_exponent": 1.9895004541642036, | |
| "support_fitted_exponent": 1.9895004541640848, | |
| "fit_points": 8, | |
| "fit_selection": "smallest eight predeclared epsilon values" | |
| } | |
| ], | |
| "gaussian_error_max_absolute_deviation": 0.011261318022127764 | |
| }, | |
| "nonlinear_data_summary": { | |
| "version": "2.0.0", | |
| "data_kind": "synthetic_only", | |
| "support_counterexample_rows": 1280, | |
| "distance_grid_rows": 99846, | |
| "topology_witness_rows": 3003, | |
| "anchors": 600, | |
| "anchored_settings": 32, | |
| "anchored_query_rows": 19200, | |
| "scalar_anchored_loss_observations": 76800, | |
| "grid_certificates_passed": 6, | |
| "map_certificates_passed": 32, | |
| "drift_certificates_passed": 32, | |
| "noiseless_map_error_max": 3.510833468576701e-16, | |
| "baselines": [ | |
| { | |
| "h": 0.35, | |
| "affine_test_rmse": 0.01613997367409832, | |
| "quadratic_oracle_test_rmse": 1.0119610168772821e-16, | |
| "information_equivalent_response_error": 3.1401849173675503e-16, | |
| "note": "Oracle queries each test anchor; affine baseline extrapolates from training. Not a query-matched accuracy contest." | |
| }, | |
| { | |
| "h": 0.4949747468305833, | |
| "affine_test_rmse": 0.029336772856679263, | |
| "quadratic_oracle_test_rmse": 9.671483990268871e-17, | |
| "information_equivalent_response_error": 3.1401849173675503e-16, | |
| "note": "Oracle queries each test anchor; affine baseline extrapolates from training. Not a query-matched accuracy contest." | |
| } | |
| ] | |
| }, | |
| "supersedes_version": "1.0.0", | |
| "scientific_impact_rating": "Unestablished; transformative impact is not evidenced" | |
| } | |