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phaseT: analysis report

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+ "mean_batches_to_convergence": 359.7368421052632,
2291
+ "per_noise_mean_convergence_batch": {
2292
+ "0": 363.3333333333333,
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+ "1": 423.3333333333333,
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+ "2": 580.0,
2295
+ "3": 502.5,
2296
+ "4": 220.0,
2297
+ "5": 90.0,
2298
+ "6": 625.0,
2299
+ "7": 240.0,
2300
+ "8": 285.0,
2301
+ "9": 320.0,
2302
+ "10": 343.3333333333333,
2303
+ "11": 370.0,
2304
+ "12": 630.0,
2305
+ "13": 420.0,
2306
+ "14": 0.0,
2307
+ "15": 235.0
2308
+ }
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+ },
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+ "thresholds": {
2311
+ "projective_clean": 0.05,
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+ "a3_reference_deviation": 0.016
2313
+ }
2314
+ }
phaseT_reports/analysis/phaseT_plots.png ADDED

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phaseT_reports/analysis/phaseT_summary.md ADDED
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+ # Phase T — D=5 Convergence Sweep Analysis
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+
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+ Generated from 64 successful configs.
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+
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+ **Sweep grid:** 4 architectures × 16 noise types = 64 configs
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+ **Per-config:** 1000 batches Adam @ lr=3e-3 (matches A3 reference)
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+
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+ **Projective-clean threshold:** |band_deviation| < 0.05
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+ **A3 D=5 V=32 gaussian reference:** deviation +0.016
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+
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+ ---
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+
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+ ## Headline finding
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+
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+ ✗ **Projective-clean does NOT hold universally at D=5.** Only 25/64 configs (39.1%) converged. A3's gaussian result was likely the lucky case, not the general one.
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+
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+ ---
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+
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+ ## G2) Per-architecture universality
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+
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+ How many noise types converged to projective-clean for each architecture.
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+
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+ | Architecture | % clean | Mean dev | Range | Mean erank/5 |
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+ |---|---|---|---|---|
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+ | `h64_V16_dp1_nx1` | 62% (10/16) | +0.0389 | [-0.028, +0.193] | 4.98 |
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+ | `h64_V32_dp0_nx1` | 50% (8/16) | +0.0450 | [-0.002, +0.090] | 4.99 |
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+ | `h64_V8_dp1_nx0` | 25% (4/16) | +0.1160 | [-0.040, +0.297] | 4.97 |
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+ | `h64_V32_dp1_nx1` | 19% (3/16) | +0.0678 | [+0.039, +0.116] | 4.99 |
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+
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+ **Architectures that failed on some noises:**
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+
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+ - `h64_V16_dp1_nx1`: uniform(+0.066), pink(+0.052), brown(+0.056), sparse_impulses(+0.193), gradient_gaussian(+0.051), four_quadrant(+0.083)
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+ - `h64_V32_dp0_nx1`: uniform(+0.053), uniform_scaled(+0.067), poisson(+0.085), sparse_impulses(+0.082), block_upsampled(+0.063), gradient_gaussian(+0.052), gauss_uniform_mix(+0.067), four_quadrant(+0.090)
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+ - `h64_V8_dp1_nx0`: gaussian(+0.106), uniform(+0.106), poisson(+0.297), pink(+0.178), brown(+0.195), sparse_impulses(+0.099), block_upsampled(+0.173), gradient_gaussian(+0.127), gauss_uniform_mix(+0.180), four_quadrant(+0.106), cauchy(+0.077), exponential(+0.236)
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+ - `h64_V32_dp1_nx1`: gaussian(+0.090), uniform(+0.067), uniform_scaled(+0.064), poisson(+0.055), pink(+0.051), block_upsampled(+0.059), gradient_gaussian(+0.071), checker(+0.066), gauss_uniform_mix(+0.082), four_quadrant(+0.072), cauchy(+0.078), exponential(+0.116), laplace(+0.090)
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+
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+ ## G2-dual) Per-noise universality
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+
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+ How many architectures converged to projective-clean for each noise type.
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+
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+ | Noise | % clean | Mean dev | Mean erank/5 |
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+ |---|---|---|---|
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+ | salt_pepper | 100% (4/4) | +0.0146 | 5.00 |
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+ | checker | 75% (3/4) | +0.0103 | 4.95 |
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+ | laplace | 75% (3/4) | +0.0145 | 5.00 |
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+ | gaussian | 50% (2/4) | +0.0609 | 5.00 |
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+ | uniform_scaled | 50% (2/4) | +0.0430 | 5.00 |
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+ | brown | 50% (2/4) | +0.0730 | 4.91 |
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+ | cauchy | 50% (2/4) | +0.0559 | 5.00 |
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+ | exponential | 50% (2/4) | +0.1054 | 5.00 |
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+ | poisson | 25% (1/4) | +0.1149 | 4.99 |
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+ | pink | 25% (1/4) | +0.0713 | 4.91 |
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+ | sparse_impulses | 25% (1/4) | +0.1038 | 5.00 |
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+ | block_upsampled | 25% (1/4) | +0.0836 | 4.98 |
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+ | gauss_uniform_mix | 25% (1/4) | +0.0839 | 5.00 |
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+ | uniform | 0% (0/4) | +0.0729 | 5.00 |
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+ | gradient_gaussian | 0% (0/4) | +0.0752 | 4.98 |
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+ | four_quadrant | 0% (0/4) | +0.0876 | 4.97 |
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+
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+ ## G3) V-axis dependence
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+
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+ Does projective-clean depend on V at D=5?
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+
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+ | V | % clean | Mean dev | Range | erank | CV |
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+ |---|---|---|---|---|---|
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+ | 8 | 25% (4/16) | +0.1160 | [-0.040, +0.297] | 4.97 | 0.643 |
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+ | 16 | 62% (10/16) | +0.0389 | [-0.028, +0.193] | 4.98 | 0.600 |
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+ | 32 | 34% (11/32) | +0.0564 | [-0.002, +0.116] | 4.99 | 0.620 |
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+
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+ ## G4) Convergence dynamics
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+
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+ Mean batches to CV convergence: 360 (across 38 configs with detectable convergence points).
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+
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+ **Per-noise convergence speed (mean batches):**
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+
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+ - exponential: ~0 batches
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+ - brown: ~90 batches
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+ - pink: ~220 batches
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+ - laplace: ~235 batches
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+ - sparse_impulses: ~240 batches
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+ - block_upsampled: ~285 batches
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+ - gradient_gaussian: ~320 batches
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+ - checker: ~343 batches
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+ - gaussian: ~363 batches
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+ - gauss_uniform_mix: ~370 batches
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+ - cauchy: ~420 batches
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+ - uniform: ~423 batches
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+ - poisson: ~502 batches
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+ - uniform_scaled: ~580 batches
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+ - salt_pepper: ~625 batches
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+ - four_quadrant: ~630 batches
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+
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+ ---
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+
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+ **Generated by `cell_t_analyzer.py` from `results_phaseT.json`.**
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+
97
+ Outputs: `phaseT_summary.md` (this file), `phaseT_analysis.json`, `phaseT_plots.png`.