# Эксперимент: Residual-Gated Lift Depth (#435)

{
  "worked": true,
  "confidence": 8,
  "verdict": "Built a readable scalar quadratic lift MVP with exact truncated operators, residual certificate, hysteretic degree-2-to-3 gating, scaling checks, finite-difference verification, and fixed-degree rollout baselines. The mechanism manifested: residual norms scaled as a^(d+1) with observed exponents 3.000, 4.000, and 5.000 for degrees 2–4, scaled linearly with q with slope 1.000, and vanished at q=0; finite-difference relative error was below 3e-7. In the toy rollout, gating achieved RMSE 0.006175 versus 0.009882 for fixed degree 2 and 0.006287 for fixed degree 3 while averaging degree 2.98.",
  "metrics": {
    "baseline": "Fixed d2: rollout RMSE 0.009882, final absolute error 0.008872, mean active degree 2.0. Fixed d3: rollout RMSE 0.006287, final absolute error 0.004609, mean active degree 3.0.",
    "idea": "Residual-gated: rollout RMSE 0.006175, final absolute error 0.004466, mean active degree/features 2.98. Calibrated tau_up=0.20165; initial rho=0.21752 and activation occurred after the two-step dwell condition. Amplitude exponents observed/predicted: d2 3.000/3, d3 4.000/4, d4 5.000/5. q exponent observed/predicted: 1.000/1. Zero-q residual norm: 0."
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 residual_gated_lift.py",
  "files": [
    "residual_gated_lift.py"
  ],
  "limitations": "Only a one-dimensional quadratic dynamical system was tested, not the paper's 16-node SEIR graph or a learned neural closure. The certificate used noiseless Euler next states, thresholds were calibrated in the same toy regime, and no wall-clock, FLOP, or noisy-measurement robustness study was performed."
}