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continual-learning
catastrophic-forgetting
functional-memory
orthogonal-projection
statistical-certification
pytorch
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14.8 kB
| { | |
| "project": "EIDRION", | |
| "title": "Functional Memory and Certified Continual Learning", | |
| "version": "1.0.0", | |
| "date": "2026-10-08", | |
| "authorship": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", | |
| "lineage": "Avenyra H-OSP v3.0.0 and supplied related research", | |
| "renaming": { | |
| "development_identifier": "avenyra_omega", | |
| "core_unchanged": true, | |
| "public_api": "eidrion", | |
| "scientific_results_unchanged": true | |
| }, | |
| "overall": "COMPLETE_SCOPED_RESEARCH_RELEASE; GENERAL_BREAKTHROUGH_NOT_DEMONSTRATED", | |
| "publication": { | |
| "uploaded": false, | |
| "public_repository": null, | |
| "doi": null | |
| }, | |
| "status_definitions": { | |
| "PROVED": "Supplied derivation under assumptions; not formally machine-checked or novelty-certified", | |
| "NUMERICALLY VERIFIED": "Executed finite checks or calculations", | |
| "EXPERIMENTALLY OBSERVED": "Measured under the identified locked protocol", | |
| "CONDITIONAL": "Operational premises remain required", | |
| "UNVERIFIED": "No achieved result in this release", | |
| "DISPROVED": "Specific stated claim defeated by supplied counterexample or observation" | |
| }, | |
| "counts": { | |
| "new_standard_runs": 260, | |
| "new_structural_runs": 96, | |
| "inherited_reproduced_runs": 66, | |
| "grouped_core_checks_passed": 39, | |
| "final_prediction_npz_audited": 2860, | |
| "final_controller_checkpoints_audited": 800, | |
| "final_contract_binding_checks": 7136, | |
| "final_aggregate_values_audited": 1561, | |
| "pretrained_benchmark_runs": 0 | |
| }, | |
| "completion_estimates": { | |
| "mathematical_conditional_program_percent": 80, | |
| "scoped_research_implementation_percent": 90, | |
| "requested_five_level_evaluation_breadth_percent": 40, | |
| "modern_model_scalability_readiness_percent": 20, | |
| "interpretation": "Subjective scope/readiness estimates; not correctness/novelty probabilities or percent of catastrophic forgetting solved" | |
| }, | |
| "competitiveness": { | |
| "new_certified_mean_accuracy_wins": 0, | |
| "tested_standard_datasets": 2, | |
| "world_leading_demonstrated": false | |
| }, | |
| "impact_judgments": { | |
| "demonstrated_1_to_10": 4, | |
| "potential_1_to_10": 6, | |
| "interpretation": "Subjective research assessments, not calibrated forecasts" | |
| }, | |
| "claims": [ | |
| { | |
| "id": "nested_prefix", | |
| "status": "PROVED", | |
| "claim": "Nested orthogonal centers recover every older center projection and make innovation energy a prefix difference.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt", | |
| "theory/nested_operator_risk_ledger.md" | |
| ], | |
| "assumptions": "Exact Hilbert geometry, nested spans, center membership, orthogonal increments.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "all_future_population", | |
| "status": "PROVED", | |
| "claim": "One independently calibrated fixed signed-margin score bounds the probability of ever disagreeing with an acquisition reference under all future admitted updates.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt" | |
| ], | |
| "assumptions": "Fixed output universe/feature geometry/reference score; conditionally IID class evidence; strict energy/radius inequality; numerical premises.", | |
| "lineage": "New synthesis under review; classical Hilbert projection and Wilks tolerance limits; historical priority unverified" | |
| }, | |
| { | |
| "id": "operational_certification", | |
| "status": "CONDITIONAL", | |
| "claim": "Population interpretation of executed certificates remains conditional; diagnostic floating-point checks are not a global interval proof.", | |
| "evidence": [ | |
| "manuscript/03_stability_and_alternatives.txt", | |
| "src/avenyra_omega/memory.py" | |
| ], | |
| "assumptions": "Valid source provenance, calibration independence, unchanged class laws and preprocessing, bounded accumulated numerical error.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "full_raw_response", | |
| "status": "PROVED", | |
| "claim": "At positive power and radius, the bounded radial output map preserves rank of the complete centered raw-network Jacobian, including hidden layers.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt" | |
| ], | |
| "assumptions": "Finite raw output; positive power/radius; excludes the softmax-common shift. No full-rank or optimization-success assertion.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "finite_update", | |
| "status": "PROVED", | |
| "claim": "The pointwise bounded residual envelope applies to arbitrary finite raw-network updates or restarts without a tangent approximation.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt" | |
| ], | |
| "assumptions": "Every accepted state satisfies the fixed external memory/radius contract.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "capacity_gram", | |
| "status": "PROVED", | |
| "claim": "In the stated linear/Hilbert read model, feasible target responses are exactly the residual Gram range and their minimum energy is a pseudoinverse quadratic form.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt", | |
| "manuscript/04_evidence_capacity.txt" | |
| ], | |
| "assumptions": "Fixed positive metric and linear read/control model; explicit range test.", | |
| "lineage": "Classical/inherited Gated DeltaNet-Omega and H-OSP" | |
| }, | |
| { | |
| "id": "minimal_span", | |
| "status": "PROVED", | |
| "claim": "An orthogonal center innovation requires exactly rank(delta) additional protected directions; centered logits imply rank at most C-1.", | |
| "evidence": [ | |
| "manuscript/02_nested_memory.txt" | |
| ], | |
| "assumptions": "Fixed finite feature representation; no global neural expansion optimum.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "query_closure", | |
| "status": "PROVED", | |
| "claim": "A finite linear memory is sufficient for a declared query exactly when its kernel is contained in the query kernel on admissible states.", | |
| "evidence": [ | |
| "manuscript/03_stability_and_alternatives.txt" | |
| ], | |
| "assumptions": "Declared linear state/query family.", | |
| "lineage": "Classical factorization; supplied AXIOMESH lineage" | |
| }, | |
| { | |
| "id": "gaussian_allocation", | |
| "status": "PROVED", | |
| "claim": "Top query-weighted eigenmodes of unresolved conditional covariance give optimal noiseless rank-k linear evidence in the specified Gaussian model.", | |
| "evidence": [ | |
| "manuscript/04_evidence_capacity.txt", | |
| "theory/evidence_capacity_closure.md" | |
| ], | |
| "assumptions": "Known Gaussian conditional covariance; side evidence truly available; fixed query/cost/information pattern; noiseless real-valued measurements.", | |
| "lineage": "Classical Gaussian conditioning/Ky Fan; supplied TMM motivation" | |
| }, | |
| { | |
| "id": "immutable_regions", | |
| "status": "PROVED", | |
| "claim": "Immutable calibrated correct regions give a fixed all-future class-correct set under chronological ownership.", | |
| "evidence": [ | |
| "manuscript/03_stability_and_alternatives.txt" | |
| ], | |
| "assumptions": "Independent labeled class evidence, unchanged region features/routing, paid failed attempts.", | |
| "lineage": "Classical tolerance statistics; this release operational construction" | |
| }, | |
| { | |
| "id": "fresh_renewal", | |
| "status": "PROVED", | |
| "claim": "Every accepted checkpoint has declared class risk on a simultaneous confidence event when all fresh tests and failed attempts are charged.", | |
| "evidence": [ | |
| "manuscript/03_stability_and_alternatives.txt" | |
| ], | |
| "assumptions": "Fresh conditionally IID unused evidence; fixed candidate before evidence; unchanged class laws.", | |
| "lineage": "Classical binomial testing; supplied COVARA renewal discipline" | |
| }, | |
| { | |
| "id": "renewal_ever_error", | |
| "status": "DISPROVED", | |
| "claim": "Per-checkpoint error at most beta does not imply probability of ever erring at most beta.", | |
| "evidence": [ | |
| "prior_art/audit_omega_renewal.py" | |
| ], | |
| "assumptions": "Counterexample: disjoint error sets across checkpoints.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "finite_anchor_unrestricted", | |
| "status": "DISPROVED", | |
| "claim": "Finite anchor preservation alone certifies unrestricted whole-domain neural behavior.", | |
| "evidence": [ | |
| "verification/verify_core.py", | |
| "manuscript/04_evidence_capacity.txt" | |
| ], | |
| "assumptions": "Explicit ReLU bump outside retained anchors.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "current_center_compression", | |
| "status": "DISPROVED", | |
| "claim": "Preserving the current center alone makes deletion of independent protected directions safe for every future write.", | |
| "evidence": [ | |
| "verification/verify_core.py", | |
| "manuscript/03_stability_and_alternatives.txt" | |
| ], | |
| "assumptions": "Explicit two-dimensional lost-closure counterexample.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "zero_gradient_exhaustion", | |
| "status": "DISPROVED", | |
| "claim": "A zero local projected gradient proves no finite safe nonlinear response exists.", | |
| "evidence": [ | |
| "verification/verify_core.py" | |
| ], | |
| "assumptions": "Multiplicative zero-factor counterexample; finite safe restart exists but discovery is not guaranteed.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "unrestricted_bounded_memory", | |
| "status": "DISPROVED", | |
| "claim": "A bounded-bit learner can retain arbitrary independent old answers forever and satisfy contradictory context-free tasks.", | |
| "evidence": [ | |
| "manuscript/04_evidence_capacity.txt" | |
| ], | |
| "assumptions": "Counting and overlapping-label counterexamples.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "core_checks", | |
| "status": "NUMERICALLY VERIFIED", | |
| "claim": "All 39 grouped root and independent core/region/renewal verification checks passed.", | |
| "evidence": [ | |
| "verification/core_verification.json", | |
| "prior_art/core_audit_final.json", | |
| "prior_art/regions_audit_final.json", | |
| "prior_art/renewal_audit_final.json" | |
| ], | |
| "assumptions": "Finite fixtures, exact calculations and numerical checks; no proof assistant.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "standard_runs", | |
| "status": "EXPERIMENTALLY OBSERVED", | |
| "claim": "260 of 260 locked MNIST/Fashion-MNIST runs completed; no new certified method has the best mean final accuracy.", | |
| "evidence": [ | |
| "experiments/final_standard/aggregate_results.json", | |
| "experiments/FINAL_RESULTS.md" | |
| ], | |
| "assumptions": "13methods,10pairedseeds,2datasets,5arrivals,6MiBcontinualpayload; explicitjointreferenceexception.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "standard_audit", | |
| "status": "NUMERICALLY VERIFIED", | |
| "claim": "260 runs, 2860 NPZs, 800 controller checkpoints and 7136 binding checks passed independent audit; 1561 aggregate values matched.", | |
| "evidence": [ | |
| "prior_art/final_predictions_complete.json", | |
| "prior_art/final_contracts_complete.json", | |
| "prior_art/final_aggregation_complete.json" | |
| ], | |
| "assumptions": "", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "structured_regime", | |
| "status": "EXPERIMENTALLY OBSERVED", | |
| "claim": "The scalar certificate succeeds at low structural noise but blocks acquisition at moderate/high noise; cumulative ridge solves all tested regimes.", | |
| "evidence": [ | |
| "experiments/structured_stream/results/summary.json", | |
| "experiments/structured_stream/saved_result_audit.json" | |
| ], | |
| "assumptions": "96runs,8seeds,4noiselevels,3methods;nohiddenrotation/supportgivenlearner.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "inherited_reproduction", | |
| "status": "NUMERICALLY VERIFIED", | |
| "claim": "The inherited H-OSP capture reproduces all66runs,825arrays and5577savedstates.", | |
| "evidence": [ | |
| "verification/inherited_v3_fresh/reproduction_summary.json" | |
| ], | |
| "assumptions": "Original support-informed small synthetic protocol.", | |
| "lineage": "Inherited H-OSP v3.0.0" | |
| }, | |
| { | |
| "id": "all_layer_example", | |
| "status": "NUMERICALLY VERIFIED", | |
| "claim": "All raw layers train and model/optimizer/checkpoint resume matches in the generated-data example.", | |
| "evidence": [ | |
| "examples/quickstart_result/report.json" | |
| ], | |
| "assumptions": "Toy API example, not new-task heldout benchmark.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "extensions", | |
| "status": "NUMERICALLY VERIFIED", | |
| "claim": "Generic feature-stream and three-depth LoRA paths passed generated-array engineering checks.", | |
| "evidence": [ | |
| "extensions/extension_manifest.json", | |
| "extensions/README.md" | |
| ], | |
| "assumptions": "No actual pretrained extraction or large benchmark performed.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "modern_scale", | |
| "status": "UNVERIFIED", | |
| "claim": "General transformer, pretrained model, GPU/distributed, CIFAR100 and full PermutedMNIST competitiveness.", | |
| "evidence": [ | |
| "extensions/README.md" | |
| ], | |
| "assumptions": "Scripts supplied; benchmark results unrun.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "novelty_priority", | |
| "status": "UNVERIFIED", | |
| "claim": "Historical priority for the shared-center / prefix-energy / discarded-reference all-future certificate synthesis.", | |
| "evidence": [ | |
| "prior_art/final_reference_audit.md", | |
| "prior_art/candidate_and_baseline_audit.md", | |
| "manuscript/08_implementation_cost_prior_art.txt" | |
| ], | |
| "assumptions": "Bounded primary-source audit, not exhaustive priority search or peer review.", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "global_neural_capacity", | |
| "status": "UNVERIFIED", | |
| "claim": "A globally optimal nonlinear safe expansion, representation migration and memory allocation policy for unrestricted future tasks.", | |
| "evidence": [ | |
| "manuscript/09_verification_and_research_map.txt" | |
| ], | |
| "assumptions": "", | |
| "lineage": "This release" | |
| }, | |
| { | |
| "id": "numeric_unbounded_stream", | |
| "status": "UNVERIFIED", | |
| "claim": "A complete deployable interval-certified long-horizon implementation for arbitrary hardware and indefinite task streams.", | |
| "evidence": [ | |
| "manuscript/03_stability_and_alternatives.txt" | |
| ], | |
| "assumptions": "", | |
| "lineage": "This release" | |
| } | |
| ], | |
| "source_lock_sha256": "af4ac3635681ac02faa2b36181830f45654c3f9549601258e2fe4aa879308825", | |
| "primary_results": "experiments/final_standard/aggregate_results.json" | |
| } | |