v41_freckles_256/checkpoints/best.pt: 100%  10.3M/10.3M [00:02<00:00, 7.34MB/s] ====================================================================== FRECKLES CENTER-MASS INTERCEPTION Full Geometric Alignment Battery ====================================================================== [1/8] Forward pass with interception... Captured 27 activation tensors enc_in [262144, 384] enc_block_0 [262144, 384] enc_block_1 [262144, 384] enc_block_2 [262144, 384] enc_block_3 [262144, 384] enc_out_raw [262144, 192] cross_attn_0_qkv [64, 4096, 12] cross_attn_0_in [64, 4096, 4] cross_attn_0_out [64, 4096, 4] cross_attn_1_qkv [64, 4096, 12] cross_attn_1_in [64, 4096, 4] cross_attn_1_out [64, 4096, 4] dec_in [262144, 384] dec_block_0 [262144, 384] dec_block_1 [262144, 384] dec_block_2 [262144, 384] dec_block_3 [262144, 384] dec_out [262144, 48] boundary_in [64, 3, 256, 256] boundary_out [64, 3, 256, 256] svd_U [64, 4096, 48, 4] svd_S_orig [64, 4096, 4] svd_S [64, 4096, 4] svd_Vt [64, 4096, 4, 4] svd_M [64, 4096, 48, 4] recon [64, 3, 256, 256] input [64, 3, 256, 256] [2/8] Activation statistics... enc_in mean=+0.1142 std=0.3280 dead=0.000 kurt=4.71 enc_block_3 mean=-0.0541 std=0.1522 dead=0.000 kurt=0.38 svd_S_orig mean=+3.3112 std=1.0179 dead=0.000 kurt=-1.44 svd_S mean=+3.3608 std=0.9810 dead=0.000 kurt=-1.41 dec_in mean=+0.4764 std=0.4865 dead=0.000 kurt=186.97 dec_block_3 mean=-0.0974 std=0.1599 dead=0.000 kurt=15.13 dec_out mean=+0.0103 std=1.2510 dead=0.000 kurt=-0.76 [3/8] SVD bottleneck analysis... S spectrum: ['4.540', '3.941', '2.879', '1.884'] S ratio (S0/SD): 2.409 Effective rank: 1.180 U orthogonality error: 0.000000 Vt orthogonality error: 0.000000 Energy per mode: ['0.430', '0.324', '0.173', '0.074'] Sphere radius: 1.0000 ± 0.0000 [4/8] Cross-attention analysis... Layer 0: delta=0.057381 relative=0.0173 alpha=[0.02249310538172722, 0.02474093995988369, 0.02652287296950817, 0.02652169205248356] Layer 0 QKV: q_norm=2.384 qk_cos=-0.247 kv_cos=0.743 Layer 1: delta=0.040865 relative=0.0121 alpha=[0.024980703368782997, 0.02168090268969536, 0.022537492215633392, 0.027645478025078773] Layer 1 QKV: q_norm=2.557 qk_cos=0.293 kv_cos=0.661 [5/8] Encoder/decoder symmetry... block_0_cosine: 0.1098 block_0_procrustes_alignment: 0.9197 block_0_procrustes_error: 0.0000 block_0_spearman: 0.0351 block_1_cosine: 0.1390 block_1_procrustes_alignment: 0.8887 block_1_procrustes_error: 0.0000 block_1_spearman: 0.0031 block_2_cosine: 0.1305 block_2_procrustes_alignment: 0.9092 block_2_procrustes_error: 0.0000 block_2_spearman: 0.0176 block_3_cosine: 0.1329 block_3_procrustes_alignment: 0.8915 block_3_procrustes_error: 0.0000 block_3_spearman: -0.0119 [6/8] Information flow analysis... M_to_S_compression: 1.000000 M_variance: 0.249144 S_variance: 1.036213 boundary_delta_max: 0.017655 boundary_delta_mean: 0.010149 boundary_relative: 0.009914 cross_attn_max_delta: 0.105252 cross_attn_relative_delta: 0.017119 cross_attn_total_delta: 0.056685 dec_to_recon_spearman: 0.000669 end_to_end_mse: 0.000048 end_to_end_spearman: 0.999982 input_to_enc_spearman: -0.004016 variance_retention: 4.159094 [7/8] CV at pipeline stages... Encoder input projection CV=0.4098 dim=16 Encoder block 0 CV=0.3504 dim=16 Encoder block 1 CV=0.4896 dim=16 Encoder block 2 CV=0.3489 dim=16 Encoder block 3 CV=0.3541 dim=16 SVD S (pre cross-attn) CV=1.3129 dim=4 SVD S (post cross-attn) CV=0.7857 dim=4 Decoder input projection CV=0.3641 dim=16 Decoder block 0 CV=0.3731 dim=16 Decoder block 3 CV=0.3918 dim=16 [8/8] Noise type fingerprints... gaussian S=['4.53', '3.99', '2.95', '1.95'] er=1.15 Δca=0.05639 mse=0.000036 uniform S=['4.53', '4.05', '2.90', '1.91'] er=1.12 Δca=0.05566 mse=0.000025 pink S=['4.48', '4.03', '2.90', '2.06'] er=1.28 Δca=0.05692 mse=0.000040 salt_pepper S=['4.50', '3.91', '3.05', '2.05'] er=1.19 Δca=0.05802 mse=0.000102 cauchy S=['4.51', '3.93', '3.02', '2.02'] er=1.18 Δca=0.05758 mse=0.000068 [BONUS] Weight analysis... Total params: 2,557,539 Effective sparsity: 0.0000 enc_out.weight norm=16.023 cond=12.051165580749512 erank=180.47442626953125 dec_in.weight norm=17.233 cond=11.48548698425293 erank=159.64996337890625 dec_out.weight norm=7.501 cond=1.6323729753494263 erank=47.76748275756836 ====================================================================== BATTERY COMPLETE — 1.4s ====================================================================== Saved: freckles_observer_v41_freckles_256.json