Эксперимент: Limiter-Smoothing Bifurcation Guard (#449)

{ "worked": true, "confidence": 8, "verdict": "Built and ran a two-dimensional exact-projection versus smooth-radial-limiter audit. Exact and smooth crossing predictions matched numerical sweeps, finite-difference Jacobian errors were below 2.5e-10, and an intermediate gain produced decay for exact projection but growth for the smooth surrogate. This supports the mechanism in the toy system.", "metrics": { "baseline": "Exact boundary 3.311644 for K=1,2,4,8; final perturbation norm 1.2.", "idea": "Smooth boundaries 2.44, 1.725341, 1.22, 0.862670; K=4 trajectory final norm 3.67065." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 limiter_guard.py", "files": [ "limiter_guard.py", "results.json" ], "limitations": "Only a deterministic two-dimensional toy was tested; no MNIST/MLP benchmark, epsilon sweep, stochastic optimizer, Arnoldi iteration, or predictor-corrector continuation was implemented." }