# Эксперимент: Floquet Monodromy Optimizer (#427)

{
  "worked": true,
  "confidence": 9,
  "verdict": "Built a reusable two-phase FloquetSGD optimizer and an exact 2D quadratic verification. The predicted stability boundary was scale=0.317659; perturbations decayed at rho=0.83099 and 0.98341, then grew at rho=1.01652 and 1.16213, confirming the monodromy criterion. The noncommutativity prediction matched exactly across the sweep, but the periodic schedule did not beat constant SGD on this quadratic, so the mechanism was verified without demonstrating an optimization speedup.",
  "metrics": {
    "baseline": "Constant SGD, final quadratic loss 6.39e-63 after 60 periods at scale 0.2",
    "idea": "FloquetSGD alternating lr1=0.32 and lr2=0.08, final quadratic loss 4.83e-29 after 60 periods; stability boundary 0.317659; empirical growth matched rho(M); commutator observed/predicted ratios were 1.0"
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 floquet_experiment.py && /home/maxwelhelp/main/bin/python3 floquet_optimizer.py",
  "files": [
    "floquet_experiment.py",
    "floquet_optimizer.py",
    "floquet_results.json"
  ],
  "limitations": "Only a small exact quadratic diagnostic and an optimizer smoke test were run. No MNIST/MLP experiment, wall-clock benchmark, CUDA test, adaptive spectral-radius probing, AdamW phase, or noisy minibatch comparison was performed."
}