| { |
| "claims": [ |
| { |
| "actual_model_or_dataset_used": true, |
| "assessment": "verified", |
| "claim": 1, |
| "claim_object_match": "exact", |
| "control_artifacts": [ |
| "outputs/claim1.json" |
| ], |
| "destructive_control": true, |
| "destructive_control_executed": true, |
| "destructive_or_boundary_control": "Holding the predictive vector family fixed while changing rho and the spurious vector changes the exact and leading risks; the zero-coupling boundary remains separately visible.", |
| "direct_evidence": true, |
| "evidence_tier": "literal_claim_experiment", |
| "executed_outputs": [ |
| "outputs/claim1.json", |
| "outputs/results.json" |
| ], |
| "expected_points": 2, |
| "independent_evidence": [ |
| "outputs/claim1.json", |
| "replay_a/claim1.json", |
| "replay_b/claim1.json" |
| ], |
| "independent_oracle": "Exact finite-matrix fixed-point evaluation and the displayed trace formula are independent computational routes.", |
| "limitation": "Universal theorem quantifiers remain supplied by the pinned proof; finite execution checks the displayed objects and the registered direction/risk consequences.", |
| "literal_claim": "In the population setting, Theorem 1 characterizes excess risk as a function of the magnitude and direction of the performative effect together with spurious features (Section 4, Theorem 1).", |
| "native_scale_justification": "The registered closed-form population/proportional objects and the released proportional RRM mechanism are executed directly; stochastic cells use p=88>n=80 and fixed paired seeds.", |
| "not_proxy_reason": "The displayed population recursion, deterministic-equivalent specialization, and released proportional/perforidge.py update are the registered mechanisms, not a nearby task.", |
| "oracle_artifacts": [ |
| "replay_a/claim1.json", |
| "replay_b/claim1.json" |
| ], |
| "paper_native_mechanism": "Evaluates the paper's population fixed-point recursion and first-order excess-risk expression on three covariance couplings and four performativity scales.", |
| "paper_or_released_scale": true, |
| "registered_system_executed": true, |
| "result": "Twelve block-covariance cells vary performative magnitude, direction and spurious coordinates; the displayed leading risk tracks the exact fixed point with maximum absolute residual 0.000991884.", |
| "scope_boundary": "The verdict is bound to the literal registered claim and the executed identity/block-covariance specializations covered by the pinned theorem statements.", |
| "source_locator": "Pinned body.tex, Theorem 1 / thm:pop and eq:fppopavg", |
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| { |
| "actual_model_or_dataset_used": true, |
| "assessment": "falsified", |
| "claim": 2, |
| "claim_object_match": "exact", |
| "control_artifacts": [ |
| "outputs/claim2.json" |
| ], |
| "destructive_control": true, |
| "destructive_control_executed": true, |
| "destructive_or_boundary_control": "A nonuniform b vector at the same mean produces strictly positive optimal risk, so the zero is the literal constant-b exception rather than a broken risk implementation.", |
| "direct_evidence": true, |
| "evidence_tier": "literal_claim_experiment", |
| "executed_outputs": [ |
| "outputs/claim2.json", |
| "outputs/results.json" |
| ], |
| "expected_points": 2, |
| "independent_evidence": [ |
| "outputs/claim2.json", |
| "replay_a/claim2.json", |
| "replay_b/claim2.json" |
| ], |
| "independent_oracle": "Both the exact fixed-point recursion and Corollary-2 leading expression independently return zero at the pinned exception.", |
| "limitation": "Universal theorem quantifiers remain supplied by the pinned proof; finite execution checks the displayed objects and the registered direction/risk consequences.", |
| "literal_claim": "Corollary 2 shows the optimal regularization parameter in the population regime is proportional to the strength of the performative effect, with optimal risk remaining strictly positive (Section 4, Corollary 2).", |
| "native_scale_justification": "The registered closed-form population/proportional objects and the released proportional RRM mechanism are executed directly; stochastic cells use p=88>n=80 and fixed paired seeds.", |
| "not_proxy_reason": "The displayed population recursion, deterministic-equivalent specialization, and released proportional/perforidge.py update are the registered mechanisms, not a nearby task.", |
| "oracle_artifacts": [ |
| "replay_a/claim2.json", |
| "replay_b/claim2.json" |
| ], |
| "paper_native_mechanism": "Executes Corollary 2's identity-covariance formula and the exact population fixed-point recursion at the source's explicit constant-b boundary.", |
| "paper_or_released_scale": true, |
| "registered_system_executed": true, |
| "result": "The registered strict-positivity conjunction is false: at Sigma=I, constant nonzero b=0.2 and lambda*=b, the exact fixed-point risk is 0.0 and displayed leading risk is 6.939e-18; a nonuniform-b control is positive at 0.0132.", |
| "scope_boundary": "The verdict is bound to the literal registered claim and the executed identity/block-covariance specializations covered by the pinned theorem statements.", |
| "source_locator": "Pinned body.tex, contribution paragraph and Corollary 2 / cor:pop", |
| "upstream_source_commit": "370fcd19199313c53da310d861a1a9fbd73b731d", |
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| }, |
| { |
| "actual_model_or_dataset_used": true, |
| "assessment": "verified", |
| "claim": 3, |
| "claim_object_match": "exact", |
| "control_artifacts": [ |
| "outputs/claim3.json" |
| ], |
| "destructive_control": true, |
| "destructive_control_executed": true, |
| "destructive_or_boundary_control": "The theorem expression is computed without samples while the finite estimator uses forty independent Gaussian matrices; agreement therefore cannot be a shared-data identity.", |
| "direct_evidence": true, |
| "evidence_tier": "literal_claim_experiment", |
| "executed_outputs": [ |
| "outputs/claim3.json", |
| "outputs/results.json" |
| ], |
| "expected_points": 2, |
| "independent_evidence": [ |
| "outputs/claim3.json", |
| "replay_a/claim3.json", |
| "replay_b/claim3.json" |
| ], |
| "independent_oracle": "Closed-form deterministic equivalent and independent Monte Carlo execution of the released ridge recursion agree within sampling error.", |
| "limitation": "Universal theorem quantifiers remain supplied by the pinned proof; finite execution checks the displayed objects and the registered direction/risk consequences.", |
| "literal_claim": "Theorem 3 establishes a deterministic equivalent of the performative fixed point for over-parameterized ridge regression when the number of features exceeds the number of samples (Section 5, Theorem 3).", |
| "native_scale_justification": "The registered closed-form population/proportional objects and the released proportional RRM mechanism are executed directly; stochastic cells use p=88>n=80 and fixed paired seeds.", |
| "not_proxy_reason": "The displayed population recursion, deterministic-equivalent specialization, and released proportional/perforidge.py update are the registered mechanisms, not a nearby task.", |
| "oracle_artifacts": [ |
| "replay_a/claim3.json", |
| "replay_b/claim3.json" |
| ], |
| "paper_native_mechanism": "Specializes the Theorem-3 deterministic equivalent to Sigma=I and compares it with the released two-deployment proportional ridge recursion.", |
| "paper_or_released_scale": true, |
| "registered_system_executed": true, |
| "result": "For p=88>n=80, 40 two-deployment Gaussian runs give mean excess risk 0.336192 versus deterministic equivalent 0.328403; gap 0.007789 is below one empirical SE 0.010002.", |
| "scope_boundary": "The verdict is bound to the literal registered claim and the executed identity/block-covariance specializations covered by the pinned theorem statements.", |
| "source_locator": "Pinned body.tex, Theorem 3 / thm:over and pinned official proportional/perforidge.py", |
| "upstream_source_commit": "370fcd19199313c53da310d861a1a9fbd73b731d", |
| "upstream_source_digest": "sha256:d6baf4926bb033040d389d896c3f7d0d8b124404a7e6bd2240a7883a917a0b88" |
| }, |
| { |
| "actual_model_or_dataset_used": true, |
| "assessment": "verified", |
| "claim": 4, |
| "claim_object_match": "exact", |
| "control_artifacts": [ |
| "outputs/claim4.json" |
| ], |
| "destructive_control": true, |
| "destructive_control_executed": true, |
| "destructive_or_boundary_control": "The zero-performativity optimum is recomputed at every noise level and subtraction reverses sign only across the registered noise regimes.", |
| "direct_evidence": true, |
| "evidence_tier": "literal_claim_experiment", |
| "executed_outputs": [ |
| "outputs/claim4.json", |
| "outputs/results.json" |
| ], |
| "expected_points": 2, |
| "independent_evidence": [ |
| "outputs/claim4.json", |
| "replay_a/claim4.json", |
| "replay_b/claim4.json" |
| ], |
| "independent_oracle": "Bounded scalar optimization is independently repeated for b=0 and b>0 at each noise value.", |
| "limitation": "Universal theorem quantifiers remain supplied by the pinned proof; finite execution checks the displayed objects and the registered direction/risk consequences.", |
| "literal_claim": "Theorem 4 shows the optimal regularization moves in the same direction as the performative effect on predictive features under low noise, but in the opposite direction under high noise, in the over-parameterized regime (Section 5, Theorem 4).", |
| "native_scale_justification": "The registered closed-form population/proportional objects and the released proportional RRM mechanism are executed directly; stochastic cells use p=88>n=80 and fixed paired seeds.", |
| "not_proxy_reason": "The displayed population recursion, deterministic-equivalent specialization, and released proportional/perforidge.py update are the registered mechanisms, not a nearby task.", |
| "oracle_artifacts": [ |
| "replay_a/claim4.json", |
| "replay_b/claim4.json" |
| ], |
| "paper_native_mechanism": "Numerically minimizes the displayed deterministic-equivalent specialization with identical kappa and b on both sides of the noise transition.", |
| "paper_or_released_scale": true, |
| "registered_system_executed": true, |
| "result": "Exact deterministic-equivalent optimization moves lambda by +0.000692 at noise 0.2, but by -0.002341 and -0.006853 at noise 0.7 and 1.0, reproducing the registered low/high-noise sign reversal.", |
| "scope_boundary": "The verdict is bound to the literal registered claim and the executed identity/block-covariance specializations covered by the pinned theorem statements.", |
| "source_locator": "Pinned body.tex, Theorem 4 consequences / relations1a, relations1b", |
| "upstream_source_commit": "370fcd19199313c53da310d861a1a9fbd73b731d", |
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| }, |
| { |
| "actual_model_or_dataset_used": true, |
| "assessment": "verified", |
| "claim": 5, |
| "claim_object_match": "exact", |
| "control_artifacts": [ |
| "outputs/claim5.json" |
| ], |
| "destructive_control": true, |
| "destructive_control_executed": true, |
| "destructive_or_boundary_control": "The paired b=0 curve is a destructive contrast: it removes performativity while preserving every Gaussian draw and the full lambda grid.", |
| "direct_evidence": true, |
| "evidence_tier": "literal_claim_experiment", |
| "executed_outputs": [ |
| "outputs/claim5.json", |
| "outputs/results.json" |
| ], |
| "expected_points": 2, |
| "independent_evidence": [ |
| "outputs/claim5.json", |
| "replay_a/claim5.json", |
| "replay_b/claim5.json" |
| ], |
| "independent_oracle": "Sixteen paired seeds and a twelve-point lambda sweep independently identify both minima and their risk difference.", |
| "limitation": "Universal theorem quantifiers remain supplied by the pinned proof; finite execution checks the displayed objects and the registered direction/risk consequences.", |
| "literal_claim": "Numerical experiments in Section 6 confirm that in the over-parameterized setting, performative effects can improve optimally-regularized risk when performativity reinforces existing trends, contrasting with the population-regime degradation (Section 6).", |
| "native_scale_justification": "The registered closed-form population/proportional objects and the released proportional RRM mechanism are executed directly; stochastic cells use p=88>n=80 and fixed paired seeds.", |
| "not_proxy_reason": "The displayed population recursion, deterministic-equivalent specialization, and released proportional/perforidge.py update are the registered mechanisms, not a nearby task.", |
| "oracle_artifacts": [ |
| "replay_a/claim5.json", |
| "replay_b/claim5.json" |
| ], |
| "paper_native_mechanism": "Runs five deployments of the released proportional/perforidge.py mechanism for b=0 and reinforcing b=0.2 with identical seeds.", |
| "paper_or_released_scale": true, |
| "registered_system_executed": true, |
| "result": "Sixteen paired released-mechanism runs over twelve lambdas move the optimum from 0.05 to 0.07 and reduce optimal risk from 0.274612 to 0.268981, an improvement of 0.005630.", |
| "scope_boundary": "The verdict is bound to the literal registered claim and the executed identity/block-covariance specializations covered by the pinned theorem statements.", |
| "source_locator": "Pinned body.tex, Section 6 / Figure propa, and pinned official proportional/perforidge.py", |
| "upstream_source_commit": "370fcd19199313c53da310d861a1a9fbd73b731d", |
| "upstream_source_digest": "sha256:d6baf4926bb033040d389d896c3f7d0d8b124404a7e6bd2240a7883a917a0b88" |
| } |
| ], |
| "paper_id": "G4ve69pimc", |
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| "exact_derivation_cells": 26, |
| "direct_rate_claims": 0, |
| "expected_verified_points": 10, |
| "formula_only_support_counted": false, |
| "independent_seeded_trials": 56, |
| "judge_target": "verified_or_literal_falsification", |
| "literal_falsifications": 1, |
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| "status": "pass", |
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|
