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- BMCTE sweep: N=20000, p=12,14 on neon-64gb (ARM64, 62 GB, 18 cores) - Optimizations: N×p isometry (O(N·p²) QR), vectorized Ryser permanent (65× speedup) - p=12: H=11.607, λ=0.9928; p=14: H=11.699, λ=0.9902; total 73.6s, 0 overflows - HachimojiBridging.lean §11: lambdaBMCTE = exp(-p²/N) with monotonicity proofs Build: 2987 jobs, 0 errors (lake build) |
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| .. | ||
| kernel | ||
| tests | ||
| bmcte_extension_v1.sql | ||
| BMCTE_v2_PAPER.md | ||
| extension_v1.py | ||
| extension_v1_receipt.json | ||
| README.md | ||
| SYSTEM_SPEC.md | ||
| THEORY_CLOSURE.md | ||
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 estimatorkernel/mode_sampler.py— Mode sampling kerneltests/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.