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technical_report_p32.md

@@ -37,11 +37,13 @@ The patchification is applied as an outer wrapper:
 Running stats (mean/variance for whitening) are tracked in the patchified
 512-channel space.
 
-Semantic alignment and the VP posterior variance expansion loss operate
-**before** patchification, in the 128-channel space. The latent scale
-penalty (log-variance L2) operates **after** patchification, in the
-512-channel space. Running stats for whitening are also tracked in the
-patchified space.
+Semantic alignment operates **before** patchification, in the 128-channel
+space. The VP posterior variance expansion loss and the latent scale penalty
+(log-variance L2) operate **after** patchification, in the 512-channel
+space. The variance expansion loss is per-element, so this is equivalent to
+operating before patchification (the 2x2 reshape is lossless and the mean
+over all elements is invariant to the rearrangement). Running stats for
+whitening are also tracked in the patchified space.
 
 ## Training