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Claude Code measured the parametric model vs LPC across SNR regimes: - clean (0 noise): 111x (the '583x' claim lives here only) - 60 dB: 2.3x - 30 dB (realistic): 1.5x, tying LPC - 20 dB: parametric LOSES to LPC The 16D braid / golden spiral adds nothing measurable over standard LPC. At realistic SNR, lossless compression converges to ~1.5x because the residual IS detector noise, which is incompressible. This permanently gates the 583x claim. The polynomial stays a GCCL receipt, never in the compression ratio column. The entire compression arc produced one real result: everything tried loses to established coders (xz on text, LPC on signals). The honest map is now documented with numbers behind every claim.
40 lines
1.7 KiB
Markdown
40 lines
1.7 KiB
Markdown
# GW Compression: Honest Measurement Result
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## The Claim
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"583.9x compression on GW250114 ringdown signal using 16D braid + golden spiral"
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## The Reality
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The 583x was a **zero-noise self-fit**. The signal was generated from 9
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polynomial coefficients, then "compressed" back to 9 coefficients.
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The data never had information the coefficients didn't carry.
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## Measured Results (Claude Code, SNR sweep)
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| SNR regime | PARAM* b/B | LPC-8 b/B | Best ratio |
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|---|---|---|---|
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| clean (sigma=0) | 0.14 | 0.35 | 111x ← the "583x" lives HERE only |
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| 60 dB | 7.02 | 7.57 | 2.3x |
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| 40 dB | 9.81 | 9.87 | 1.6x (dead heat) |
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| 30 dB (realistic) | 10.58 | 10.61 | 1.5x (tie) |
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| 20 dB (weak) | 10.94 | 10.92 | 1.5x ← LPC BEATS parametric |
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*PARAM = parametric model handed the EXACT true mode parameters (best case).
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## Why
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Lossless means you must store the residual. Residual = signal − fit = noise.
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Noise is incompressible. The fit saves the clean part (which LPC also grabs
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via linear prediction), and nobody compresses the noise. Everybody converges
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to "noise floor + tiny model" ≈ 1.5x.
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## Verdict
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- The 16D braid / golden spiral adds **nothing measurable** over LPC.
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- Actually **worse** at low SNR (20 dB: parametric loses to LPC).
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- The polynomial stays a **GCCL integrity receipt**, never in the ratio column.
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- This is now flagged with numbers. The 583x claim is permanently gated.
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## What IS real from this session
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- Order-2 PPM on enwik8: 3.088 b/B (honest text baseline)
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- Braille/T9 on text: 4.167 b/B (dead, negative result banked)
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- xz output entropy: exactly 8.000 b/B (can't compress the compressed)
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- Encoder injectivity: 20/20 (exact arithmetic, no floats)
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- 20 bugs found and fixed in the formal pipeline
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