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E0d — post-correction follow-ups

E0d — post-correction follow-ups

A. Splitting convergence (is the diffusion negative numerical?)

Equal total diffusion; fine = 8 Trotter steps. Curved toy, 20 seeds, corrected extractor.

n_gal diff completeness Δ vs off (p)
1200 off 0.810 ± 0.024 —
1200 coarse 0.822 ± 0.026 +0.0128 (0.027)
1200 fine 0.819 ± 0.030 +0.0089 (0.16)
2500 off 0.897 ± 0.024 —
2500 coarse 0.877 ± 0.030 -0.0196 (4.8e-05)
2500 fine 0.880 ± 0.027 -0.0169 (0.00021)

B. Sparsity limit (does the lift ever win honestly?)

n_gal ΔC (lift − hessian) lift wins Wilcoxon p C hessian C lift
400 -0.0165 8/30 0.0037 0.593 0.576
600 -0.0214 8/30 0.002 0.693 0.671
800 -0.0056 10/30 0.26 0.737 0.731
1200 +0.0026 17/30 0.49 0.809 0.812

C. Hybrid on gravity fields (truncated ZA, 12 seeds)

n_gal method mass coverage band coverage Δband vs hessian (p)
5000 hessian 0.2178 0.2860 ± 0.0149 —
5000 se3_lift 0.2029 0.2684 ± 0.0144 -0.0176 (0.00049)
5000 hyb_sum 0.2096 0.2775 ± 0.0122 -0.0085 (0.042)
20000 hessian 0.2497 0.3335 ± 0.0099 —
20000 se3_lift 0.2177 0.2908 ± 0.0137 -0.0427 (0.00049)
20000 hyb_sum 0.2374 0.3180 ± 0.0155 -0.0155 (0.0068)