================================================================================ CONSTELLATION DIFFUSION — PURE BOTTLENECK ANALYSIS Total: 36,573,635 Bottleneck: 31,507,200 (86.1%) Compression: 16384 → 768 (21.3×) ================================================================================ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 1: Drift & Anchor Diagnostics ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Drift: mean=0.232781 rad (13.34°) max=0.602019 rad (34.49°) Near 0.29154: 29.7% Near 0.29154 (±0.03): 13.3% Drift distribution (256 anchors): 0.000-0.050: 0 0.050-0.100: 4 ███ 0.100-0.150: 22 ████████████ 0.150-0.200: 60 ███████████████████████████████ 0.200-0.250: 92 ███████████████████████████████████████████████ 0.250-0.292: 40 █████████████████████ ◄ BINDING 0.292-0.350: 19 ██████████ 0.350-0.400: 7 ████ 0.400-0.500: 7 ████ Per-patch drift summary: P 0: mean=0.3579 max=0.5105 near=9/16 ◄ CROSSED P 1: mean=0.2341 max=0.4097 near=8/16 ◄ CROSSED P 2: mean=0.2275 max=0.4015 near=3/16 ◄ CROSSED P 3: mean=0.2223 max=0.3298 near=4/16 ◄ MAX≈0.29, CROSSED P 4: mean=0.1809 max=0.2362 near=0/16 P 5: mean=0.2296 max=0.2770 near=9/16 ◄ MAX≈0.29 P 6: mean=0.2478 max=0.3619 near=7/16 ◄ MEAN≈0.29, CROSSED P 7: mean=0.2193 max=0.2639 near=5/16 ◄ MAX≈0.29 P 8: mean=0.2014 max=0.2552 near=3/16 ◄ MAX≈0.29 P 9: mean=0.2801 max=0.6020 near=6/16 ◄ MEAN≈0.29, CROSSED P10: mean=0.1992 max=0.2877 near=4/16 ◄ MAX≈0.29 P11: mean=0.2229 max=0.3406 near=5/16 ◄ MAX≈0.29, CROSSED P12: mean=0.1984 max=0.3577 near=1/16 ◄ CROSSED P13: mean=0.2079 max=0.3612 near=3/16 ◄ CROSSED P14: mean=0.2872 max=0.5753 near=6/16 ◄ MEAN≈0.29, CROSSED P15: mean=0.2079 max=0.2679 near=3/16 ◄ MAX≈0.29 Anchor effective dimensionality: P 0: 9.7 / 16 P 1: 10.3 / 16 P 2: 10.6 / 16 P 3: 10.0 / 16 P 4: 11.0 / 16 P 5: 10.1 / 16 P 6: 10.4 / 16 P 7: 10.2 / 16 P 8: 10.6 / 16 P 9: 10.9 / 16 P10: 11.2 / 16 P11: 10.3 / 16 P12: 10.5 / 16 P13: 10.4 / 16 P14: 11.0 / 16 P15: 11.1 / 16 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 2: Sphere Geometry — per-patch CV across timesteps ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Per-patch CV at t=0.0 (natural S^15 = 0.20): P 0: CV=1.4685 P 1: CV=0.6409 P 2: CV=0.9192 P 3: CV=1.1155 P 4: CV=1.1154 P 5: CV=0.7496 P 6: CV=1.9856 P 7: CV=0.6969 P 8: CV=0.8891 P 9: CV=0.8155 P10: CV=1.0181 P11: CV=0.8902 P12: CV=0.8989 P13: CV=1.2571 P14: CV=0.9171 P15: CV=0.8575 t CV_sphere CV_tri eff_d_sph eff_d_tri 0.00 0.4490 0.5955 47.1 29.6 0.10 0.4835 0.5917 50.5 32.4 0.25 0.4666 0.6343 52.5 34.2 0.50 0.4871 0.6422 51.5 33.7 0.75 0.4859 0.6269 48.9 32.4 0.90 0.4226 0.5510 42.0 28.2 1.00 0.5607 0.6169 23.7 16.6 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 3: Per-Class Anchor Routing ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Patch 0: class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy plane . 2% . . . . . . . 61%█ . . . . . 31%█ 0.99 auto . . . . . . . . . 47%█ . . . . . 43%█ 1.16 bird . 2% 4% . . . . . . 58%█ . . . . . 29%█ 1.21 cat . 2% 2% . . . . . . 40%█ . . . . . 48%█ 1.20 deer . 6% 5% . . . 3% 2% . 40%█ . . . 2% . 34%█ 1.69 dog . 3% . . . . . . . 35%█ . . . . . 51%█ 1.28 frog . 3% 5% . . . 2% . . 51%█ . . . . . 30%█ 1.42 horse . 4% . . . . 3% . . 62%█ . . . 2% . 20%█ 1.31 ship . 3% . . . . . 2% . 46%█ . . . . . 45%█ 1.11 truck . . . . . . . . . 62%█ . . . . . 32%█ 0.95 Patch 1: class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy plane . . 46%█ . . 12%░ . . . . 5% 4% . . 25%█ 2% 1.61 auto . . 31%█ . 4% 24%█ 3% . . . 9%░ 4% . 5% 14%░ 4% 1.96 bird . . 38%█ . . 24%█ . . . . 4% 4% . 3% 19%█ 4% 1.68 cat . . 31%█ . 2% 44%█ . . . . 3% . . 4% 10%░ . 1.51 deer . . 34%█ . . 33%█ . . . . 4% 6% . . 20%█ . 1.49 dog . . 26%█ . . 49%█ . . . . 3% 2% . 3% 11%░ 3% 1.46 frog . . 21%█ . 2% 43%█ . . . . 3% 3% . 6% 17%█ . 1.65 horse . . 33%█ . . 30%█ . . . . 6% 4% . 4% 17%█ . 1.70 ship . . 37%█ . . 12%░ . . . . 2% 5% . 4% 34%█ . 1.62 truck . . 31%█ . . 28%█ 2% . . . 4% . . 6% 21%█ . 1.76 Patch 2: class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy plane . . . . 25%█ . . 38%█ 2% . . . 33%█ . . . 1.30 auto . . . . 10%░ . . 55%█ . . . . 34%█ . . . 1.02 bird . . . . 42%█ . . 32%█ . . . . 23%█ . . . 1.23 cat . . . . 36%█ . . 24%█ 3% . . . 36%█ . . . 1.21 deer . . . . 48%█ . . 21%█ 4% . . . 26%█ . . . 1.20 dog . . . . 33%█ . . 24%█ 4% . . . 38%█ . . . 1.28 frog . . . . 31%█ . . 34%█ 2% . . . 32%█ . . . 1.23 horse . . . . 16%█ . . 52%█ . . . . 30%█ . . . 1.10 ship . . . . 22%█ . . 41%█ . . . . 35%█ . . . 1.17 truck . . . . 5% . . 70%█ . . . . 23%█ . . . 0.79 Patch 3: class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy plane . . 96%█ 2% . . . . . . . . . . . . 0.18 auto . . 96%█ 2% . . . . . . . . . . . . 0.20 bird . 3% 96%█ . . . . . . . . . . . . . 0.20 cat . 2% 94%█ 2% . . . . . . . . . . . . 0.27 deer . 3% 96%█ . . . . . . . . . . . . . 0.18 dog . . 94%█ 3% . . . . . . . . . . . . 0.30 frog . . 96%█ . . . . . . . . . . . . . 0.21 horse . 2% 96%█ . . . . . . . . . . . . . 0.18 ship . . 97%█ . . . . . . . . . . . . . 0.15 truck . . 98%█ . . . . . . . . . . . . . 0.12 Unique anchors per patch: [16, 16, 12, 7, 10, 16, 13, 16, 9, 11, 10, 12, 16, 8, 15, 6] Mean utilization: 12.1/16 (75%) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 4: Reconstruction Fidelity — what survives 768 dims? ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ t input_norm output_norm cos_sim rel_error mse 0.00 110.06 9.45 0.005973 1.0033 0.75 0.25 93.27 10.99 -0.002885 1.0075 0.54 0.50 92.59 13.89 -0.004671 1.0123 0.54 0.75 95.01 19.48 -0.004816 1.0224 0.58 1.00 169.81 38.08 -0.002050 1.0254 1.86 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 5: Generation Quality — per class ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ class intra_cos std CV norm plane 0.8898 0.0536 0.5405 31.82 auto 0.8146 0.0644 0.3613 29.08 bird 0.8808 0.0535 0.5460 27.34 cat 0.8142 0.0791 0.4849 27.87 deer 0.8720 0.0610 0.5203 26.62 dog 0.8438 0.0674 0.4387 28.35 frog 0.8615 0.0576 0.4400 24.81 horse 0.8519 0.0530 0.3818 28.95 ship 0.8809 0.0636 0.6385 30.63 truck 0.8408 0.0561 0.3530 30.26 ✓ Saved to analysis_cd/ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 6: Velocity Field Quality ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ t v_norm v·target mse 0.05 53.26 0.8551 0.3307 0.10 56.10 0.8996 0.2356 0.25 58.36 0.9365 0.1524 0.50 59.10 0.9487 0.1254 0.75 58.68 0.9423 0.1420 0.90 57.53 0.9258 0.1829 0.95 56.45 0.9124 0.2186 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 7: ODE Trajectory — geometry through generation ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ step t norm std CV 0 1.00 54.24 0.9788 0.0119 1 0.98 53.14 0.9589 0.0109 5 0.90 48.80 0.8806 0.0112 10 0.80 43.55 0.7858 0.0122 20 0.60 33.89 0.6115 0.0231 30 0.40 26.34 0.4766 0.0694 40 0.20 22.89 0.4202 0.1614 49 0.02 24.88 0.4617 0.2254 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 8: Class Separation ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Intra-class cos: 0.8550 ± 0.0255 Inter-class cos: 0.8432 ± 0.0184 Separation ratio: 1.014× ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ TEST 9: Comparison Summary ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Regulator Skip BN Pure BN (v1) (v2) (v3) ───────────────────────────────────────────────────────────────────────── Relay/BN params 76K 281M 31,507,200 Total params 6.1M 287M 36,573,635 Best loss 0.1900 0.1757 0.1749 Constellation signal 6% 88% 100% Skip params 0 268M 0 Anchor routing 2 active class-spec (see T3) Final drift stats: Mean: 0.232781 rad (13.34°) Max: 0.602019 rad (34.49°) Near 0.29154: 29.7% (±0.05) 13.3% (±0.03) Crossed 0.29: 14.8% ================================================================================ ANALYSIS COMPLETE ================================================================================