Эксперимент: Onsager–Casimir Response Regularizer (#609)

{ "worked": false, "confidence": 9, "verdict": "Built a reproducible 2D rotating linear-system experiment with OC reversal, antisymmetric-response scaling, Euler stability, FDR residual, and a small equal-data transition-fit comparison. OC reversal was exact, antisymmetric response vanished at omega=0 and matched predicted small-omega slopes within 0.06%, and the stability boundary was observed at omega=0.65 versus predicted 0.6614. However, the supplied FDR formula failed for this discrete noisy system: predicted tau=0.49 was not optimal (grid optimum=0.25), with normalized residuals near 1, so the overall mechanism criterion is not met.", "metrics": { "baseline": "Transition-fit test MSE 2.287e-6; OC residual 1.437e-3", "idea": "At lambda=1.0, test MSE 1.480e-6 and OC residual 7.229e-4; OC residual decreased monotonically across tested lambdas, but this does not offset the failed FDR check" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 oc_experiment.py", "files": [ "oc_experiment.py", "results.json", "results.txt" ], "limitations": "Only the analytic 2D linear toy system and tiny linear fitting comparison were tested; no GRU, delayed-MNIST, Jacobian-vector-product implementation, covariance shrinkage, continuous-time integrator, or neural sequence benchmark was evaluated. The FDR expression was tested in the stated discrete-time Euler setup and appears incompatible without a more careful discrete-time response/covariance derivation." }