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+ ================================================================================
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+ CONSTELLATION DIFFUSION β€” PURE BOTTLENECK ANALYSIS
3
+ Total: 36,573,635 Bottleneck: 31,507,200 (86.1%)
4
+ Compression: 16384 β†’ 768 (21.3Γ—)
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+ ================================================================================
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+
7
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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+ TEST 1: Drift & Anchor Diagnostics
9
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
10
+ Drift: mean=0.232781 rad (13.34Β°)
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+ max=0.602019 rad (34.49Β°)
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+ Near 0.29154: 29.7%
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+ Near 0.29154 (Β±0.03): 13.3%
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+
15
+ Drift distribution (256 anchors):
16
+ 0.000-0.050: 0
17
+ 0.050-0.100: 4 β–ˆβ–ˆβ–ˆ
18
+ 0.100-0.150: 22 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ
19
+ 0.150-0.200: 60 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ
20
+ 0.200-0.250: 92 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ
21
+ 0.250-0.292: 40 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ β—„ BINDING
22
+ 0.292-0.350: 19 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ
23
+ 0.350-0.400: 7 β–ˆβ–ˆβ–ˆβ–ˆ
24
+ 0.400-0.500: 7 β–ˆβ–ˆβ–ˆβ–ˆ
25
+
26
+ Per-patch drift summary:
27
+ P 0: mean=0.3579 max=0.5105 near=9/16 β—„ CROSSED
28
+ P 1: mean=0.2341 max=0.4097 near=8/16 β—„ CROSSED
29
+ P 2: mean=0.2275 max=0.4015 near=3/16 β—„ CROSSED
30
+ P 3: mean=0.2223 max=0.3298 near=4/16 β—„ MAXβ‰ˆ0.29, CROSSED
31
+ P 4: mean=0.1809 max=0.2362 near=0/16
32
+ P 5: mean=0.2296 max=0.2770 near=9/16 β—„ MAXβ‰ˆ0.29
33
+ P 6: mean=0.2478 max=0.3619 near=7/16 β—„ MEANβ‰ˆ0.29, CROSSED
34
+ P 7: mean=0.2193 max=0.2639 near=5/16 β—„ MAXβ‰ˆ0.29
35
+ P 8: mean=0.2014 max=0.2552 near=3/16 β—„ MAXβ‰ˆ0.29
36
+ P 9: mean=0.2801 max=0.6020 near=6/16 β—„ MEANβ‰ˆ0.29, CROSSED
37
+ P10: mean=0.1992 max=0.2877 near=4/16 β—„ MAXβ‰ˆ0.29
38
+ P11: mean=0.2229 max=0.3406 near=5/16 β—„ MAXβ‰ˆ0.29, CROSSED
39
+ P12: mean=0.1984 max=0.3577 near=1/16 β—„ CROSSED
40
+ P13: mean=0.2079 max=0.3612 near=3/16 β—„ CROSSED
41
+ P14: mean=0.2872 max=0.5753 near=6/16 β—„ MEANβ‰ˆ0.29, CROSSED
42
+ P15: mean=0.2079 max=0.2679 near=3/16 β—„ MAXβ‰ˆ0.29
43
+
44
+ Anchor effective dimensionality:
45
+ P 0: 9.7 / 16
46
+ P 1: 10.3 / 16
47
+ P 2: 10.6 / 16
48
+ P 3: 10.0 / 16
49
+ P 4: 11.0 / 16
50
+ P 5: 10.1 / 16
51
+ P 6: 10.4 / 16
52
+ P 7: 10.2 / 16
53
+ P 8: 10.6 / 16
54
+ P 9: 10.9 / 16
55
+ P10: 11.2 / 16
56
+ P11: 10.3 / 16
57
+ P12: 10.5 / 16
58
+ P13: 10.4 / 16
59
+ P14: 11.0 / 16
60
+ P15: 11.1 / 16
61
+
62
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
63
+ TEST 2: Sphere Geometry β€” per-patch CV across timesteps
64
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
65
+
66
+ Per-patch CV at t=0.0 (natural S^15 = 0.20):
67
+ P 0: CV=1.4685
68
+ P 1: CV=0.6409
69
+ P 2: CV=0.9192
70
+ P 3: CV=1.1155
71
+ P 4: CV=1.1154
72
+ P 5: CV=0.7496
73
+ P 6: CV=1.9856
74
+ P 7: CV=0.6969
75
+ P 8: CV=0.8891
76
+ P 9: CV=0.8155
77
+ P10: CV=1.0181
78
+ P11: CV=0.8902
79
+ P12: CV=0.8989
80
+ P13: CV=1.2571
81
+ P14: CV=0.9171
82
+ P15: CV=0.8575
83
+
84
+ t CV_sphere CV_tri eff_d_sph eff_d_tri
85
+ 0.00 0.4490 0.5955 47.1 29.6
86
+ 0.10 0.4835 0.5917 50.5 32.4
87
+ 0.25 0.4666 0.6343 52.5 34.2
88
+ 0.50 0.4871 0.6422 51.5 33.7
89
+ 0.75 0.4859 0.6269 48.9 32.4
90
+ 0.90 0.4226 0.5510 42.0 28.2
91
+ 1.00 0.5607 0.6169 23.7 16.6
92
+
93
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
94
+ TEST 3: Per-Class Anchor Routing
95
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
96
+
97
+ Patch 0:
98
+ class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy
99
+ plane . 2% . . . . . . . 61%β–ˆ . . . . . 31%β–ˆ 0.99
100
+ auto . . . . . . . . . 47%β–ˆ . . . . . 43%β–ˆ 1.16
101
+ bird . 2% 4% . . . . . . 58%β–ˆ . . . . . 29%β–ˆ 1.21
102
+ cat . 2% 2% . . . . . . 40%β–ˆ . . . . . 48%β–ˆ 1.20
103
+ deer . 6% 5% . . . 3% 2% . 40%β–ˆ . . . 2% . 34%β–ˆ 1.69
104
+ dog . 3% . . . . . . . 35%β–ˆ . . . . . 51%β–ˆ 1.28
105
+ frog . 3% 5% . . . 2% . . 51%β–ˆ . . . . . 30%β–ˆ 1.42
106
+ horse . 4% . . . . 3% . . 62%β–ˆ . . . 2% . 20%β–ˆ 1.31
107
+ ship . 3% . . . . . 2% . 46%β–ˆ . . . . . 45%β–ˆ 1.11
108
+ truck . . . . . . . . . 62%β–ˆ . . . . . 32%β–ˆ 0.95
109
+
110
+ Patch 1:
111
+ class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy
112
+ plane . . 46%β–ˆ . . 12%β–‘ . . . . 5% 4% . . 25%β–ˆ 2% 1.61
113
+ auto . . 31%β–ˆ . 4% 24%β–ˆ 3% . . . 9%β–‘ 4% . 5% 14%β–‘ 4% 1.96
114
+ bird . . 38%β–ˆ . . 24%β–ˆ . . . . 4% 4% . 3% 19%β–ˆ 4% 1.68
115
+ cat . . 31%β–ˆ . 2% 44%β–ˆ . . . . 3% . . 4% 10%β–‘ . 1.51
116
+ deer . . 34%β–ˆ . . 33%β–ˆ . . . . 4% 6% . . 20%β–ˆ . 1.49
117
+ dog . . 26%β–ˆ . . 49%β–ˆ . . . . 3% 2% . 3% 11%β–‘ 3% 1.46
118
+ frog . . 21%β–ˆ . 2% 43%β–ˆ . . . . 3% 3% . 6% 17%β–ˆ . 1.65
119
+ horse . . 33%β–ˆ . . 30%β–ˆ . . . . 6% 4% . 4% 17%β–ˆ . 1.70
120
+ ship . . 37%β–ˆ . . 12%β–‘ . . . . 2% 5% . 4% 34%β–ˆ . 1.62
121
+ truck . . 31%β–ˆ . . 28%β–ˆ 2% . . . 4% . . 6% 21%β–ˆ . 1.76
122
+
123
+ Patch 2:
124
+ class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy
125
+ plane . . . . 25%β–ˆ . . 38%β–ˆ 2% . . . 33%β–ˆ . . . 1.30
126
+ auto . . . . 10%β–‘ . . 55%β–ˆ . . . . 34%β–ˆ . . . 1.02
127
+ bird . . . . 42%β–ˆ . . 32%β–ˆ . . . . 23%β–ˆ . . . 1.23
128
+ cat . . . . 36%β–ˆ . . 24%β–ˆ 3% . . . 36%β–ˆ . . . 1.21
129
+ deer . . . . 48%β–ˆ . . 21%β–ˆ 4% . . . 26%β–ˆ . . . 1.20
130
+ dog . . . . 33%β–ˆ . . 24%β–ˆ 4% . . . 38%β–ˆ . . . 1.28
131
+ frog . . . . 31%β–ˆ . . 34%β–ˆ 2% . . . 32%β–ˆ . . . 1.23
132
+ horse . . . . 16%β–ˆ . . 52%β–ˆ . . . . 30%β–ˆ . . . 1.10
133
+ ship . . . . 22%β–ˆ . . 41%β–ˆ . . . . 35%β–ˆ . . . 1.17
134
+ truck . . . . 5% . . 70%β–ˆ . . . . 23%β–ˆ . . . 0.79
135
+
136
+ Patch 3:
137
+ class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 entropy
138
+ plane . . 96%β–ˆ 2% . . . . . . . . . . . . 0.18
139
+ auto . . 96%β–ˆ 2% . . . . . . . . . . . . 0.20
140
+ bird . 3% 96%β–ˆ . . . . . . . . . . . . . 0.20
141
+ cat . 2% 94%β–ˆ 2% . . . . . . . . . . . . 0.27
142
+ deer . 3% 96%β–ˆ . . . . . . . . . . . . . 0.18
143
+ dog . . 94%β–ˆ 3% . . . . . . . . . . . . 0.30
144
+ frog . . 96%β–ˆ . . . . . . . . . . . . . 0.21
145
+ horse . 2% 96%β–ˆ . . . . . . . . . . . . . 0.18
146
+ ship . . 97%β–ˆ . . . . . . . . . . . . . 0.15
147
+ truck . . 98%β–ˆ . . . . . . . . . . . . . 0.12
148
+
149
+ Unique anchors per patch: [16, 16, 12, 7, 10, 16, 13, 16, 9, 11, 10, 12, 16, 8, 15, 6]
150
+ Mean utilization: 12.1/16 (75%)
151
+
152
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
153
+ TEST 4: Reconstruction Fidelity β€” what survives 768 dims?
154
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
155
+ t input_norm output_norm cos_sim rel_error mse
156
+ 0.00 110.06 9.45 0.005973 1.0033 0.75
157
+ 0.25 93.27 10.99 -0.002885 1.0075 0.54
158
+ 0.50 92.59 13.89 -0.004671 1.0123 0.54
159
+ 0.75 95.01 19.48 -0.004816 1.0224 0.58
160
+ 1.00 169.81 38.08 -0.002050 1.0254 1.86
161
+
162
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
163
+ TEST 5: Generation Quality β€” per class
164
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
165
+ class intra_cos std CV norm
166
+ plane 0.8898 0.0536 0.5405 31.82
167
+ auto 0.8146 0.0644 0.3613 29.08
168
+ bird 0.8808 0.0535 0.5460 27.34
169
+ cat 0.8142 0.0791 0.4849 27.87
170
+ deer 0.8720 0.0610 0.5203 26.62
171
+ dog 0.8438 0.0674 0.4387 28.35
172
+ frog 0.8615 0.0576 0.4400 24.81
173
+ horse 0.8519 0.0530 0.3818 28.95
174
+ ship 0.8809 0.0636 0.6385 30.63
175
+ truck 0.8408 0.0561 0.3530 30.26
176
+ βœ“ Saved to analysis_cd/
177
+
178
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
179
+ TEST 6: Velocity Field Quality
180
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
181
+ t v_norm vΒ·target mse
182
+ 0.05 53.26 0.8551 0.3307
183
+ 0.10 56.10 0.8996 0.2356
184
+ 0.25 58.36 0.9365 0.1524
185
+ 0.50 59.10 0.9487 0.1254
186
+ 0.75 58.68 0.9423 0.1420
187
+ 0.90 57.53 0.9258 0.1829
188
+ 0.95 56.45 0.9124 0.2186
189
+
190
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
191
+ TEST 7: ODE Trajectory β€” geometry through generation
192
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
193
+ step t norm std CV
194
+ 0 1.00 54.24 0.9788 0.0119
195
+ 1 0.98 53.14 0.9589 0.0109
196
+ 5 0.90 48.80 0.8806 0.0112
197
+ 10 0.80 43.55 0.7858 0.0122
198
+ 20 0.60 33.89 0.6115 0.0231
199
+ 30 0.40 26.34 0.4766 0.0694
200
+ 40 0.20 22.89 0.4202 0.1614
201
+ 49 0.02 24.88 0.4617 0.2254
202
+
203
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
204
+ TEST 8: Class Separation
205
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
206
+ Intra-class cos: 0.8550 Β± 0.0255
207
+ Inter-class cos: 0.8432 Β± 0.0184
208
+ Separation ratio: 1.014Γ—
209
+
210
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
211
+ TEST 9: Comparison Summary
212
+ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
213
+
214
+ Regulator Skip BN Pure BN
215
+ (v1) (v2) (v3)
216
+ ─────────────────────────────────────────────────────────────────────────
217
+ Relay/BN params 76K 281M 31,507,200
218
+ Total params 6.1M 287M 36,573,635
219
+ Best loss 0.1900 0.1757 0.1749
220
+ Constellation signal 6% 88% 100%
221
+ Skip params 0 268M 0
222
+ Anchor routing 2 active class-spec (see T3)
223
+
224
+ Final drift stats:
225
+ Mean: 0.232781 rad (13.34Β°)
226
+ Max: 0.602019 rad (34.49Β°)
227
+ Near 0.29154: 29.7% (Β±0.05) 13.3% (Β±0.03)
228
+ Crossed 0.29: 14.8%
229
+
230
+ ================================================================================
231
+ ANALYSIS COMPLETE
232
+ ================================================================================