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SilverSight/experiments/bosonic_continuous/README.md
allaun 93c6b0a691 exp(bosonic): continuous interpolation experiment for regime transition 
Testing λ(p) = exp(-p²/N) to remove hard p≥5 regime switch.
- ryser_continuous.py: unified estimator skeleton
- test_lambda_interpolation.py: smooth transition verification

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2026-06-22 01:19:10 -05:00

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Bosonic Continuous Interpolation Experiment

Testing a unified Monte Carlo estimator without regime switching.

Goal

Replace hard p≥5 cutoff with continuous λ(p) interpolation:

λ(p) = exp(-p²/N)
Q(p) = λ(p) Q_bos + (1-λ(p)) Q_fact

Structure

  • kernel/ryser_continuous.py — Unified permanent estimator
  • kernel/mode_sampler.py — Mode sampling kernel
  • tests/test_lambda_interpolation.py — Verify continuity

Key Change

Remove:

if p >= 5: distinguishable_k()

Replace with single estimator using Ryser permanent for all p ≤ 6.