# Эксперимент: Critical Spectral Mode Compression (#441)

{
  "worked": false,
  "confidence": 9,
  "verdict": "Built a reproducible spectral return-proxy MVP with stability-boundary and mode-compression sweeps. The exact single-mode prediction was confirmed: observed log-growth/decay rates matched 2 log(rho) across rho<1, rho=1, and rho>1. However, sparse frequency selection did not preserve the teacher's fitted exponent within 10% at M/D<=0.25, so the central compression mechanism was not validated.",
  "metrics": {
    "baseline": "At M=32/64, random selection log-RMSE was 3.391/2.743 and exponent relative error was 102%/69%.",
    "idea": "Frequency-quantile selection at M=32/64 had log-RMSE 3.447/2.740 and exponent relative error 84%/38%; mode-scaling log-RMSE decreased from 5.37 at M=4 to 1.80 at M=128, but remained poor under 25% retention."
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 experiment.py",
  "files": [
    "experiment.py",
    "results.json",
    "REPORT.md"
  ],
  "limitations": "No learned SSM, Copy or Adding task, fine-tuning, real-valued conjugate implementation, greedy pair-difference optimization, or GPU speed benchmark was tested. The finite spectrum did not exhibit a robust decade-long power law, limiting interpretation of the failed exponent-preservation test."
}