Эксперимент: Local Characteristic Residual Gating (#1417)

{ "worked": true, "confidence": 7, "verdict": "Built a readable characteristic residual gating experiment with Q/Q^{-1}, bounded jump-based gates, and scalar-TV/no-gate controls. The algebraic inverse of the displayed Q achieved max identity error 2.3e-13, while the literal inverse in the idea has large errors (max 2.3e3), so the implementation uses the corrected opposite-sign acoustic terms. In the fixed toy signal, characteristic gating reduced acoustic RMS by 66.7% versus 23.6% for scalar TV gating and lowered total MSE to the clean signal from 0.001524 to 0.000184, but this is only a synthetic residual test.", "metrics": { "baseline": "No gate: acoustic RMS 0.061725; suppression 0%; total MSE 0.001524; mean gate 1.0.", "idea": "Characteristic gate, alpha=2: acoustic RMS 0.020581; suppression 66.66%; total MSE 0.0001843; mean acoustic gate 0.4018 and equilibrium-channel gate 0.9425; gate range [0.3333, 0.99997]. Scalar-TV control: acoustic RMS 0.047161; suppression 23.60%; total MSE 0.004332." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 characteristic_gate_experiment.py", "files": [ "characteristic_gate_experiment.py", "results.json" ], "limitations": "No learned graph neural operator, finite-volume dam-break solver, PDE rollout, shock-width, timestep-stability, negative-depth, FLOP, or wall-clock comparison was tested. The experiment uses synthetic characteristic residuals rather than physical equilibrium-variable states. The authoritative inverse formula appears internally inconsistent with its Q matrix; the code reports both the literal failure and corrected-inverse result." }