Proposition 3III.6.P0368 of 76 in the corpus
A per-pixel task must recover the resolution the encoder discarded.
The bottleneck knows what is in the image and no longer knows exactly where. Skip connections are not an optimisation — they are the only place the fine spatial detail still exists.
Demonstration
A classifier’s encoder halves the resolution repeatedly until the spatial axes are nearly gone. Segmentation needs a label at every original pixel, so the resolution has to come back.
Upsampling from the bottleneck alone gives blurred, approximately correct regions with boundaries in roughly the right place. The information required to put an edge exactly where it belongs was destroyed by the downsampling and cannot be reconstructed from a coarse feature map.
The U-Net’s answer is to route around the problem. At every level, the encoder’s feature map is concatenated to the decoder’s, so the decoder combines what from below with where from the side. Remove the skips and the same network produces soft, drifting boundaries — the standard demonstration in every ablation of it.
Two things worth stating plainly for medical work.
Class imbalance is structural. A lesion may be 0.1% of the voxels, so per-pixel cross-entropy is minimised by predicting background everywhere. Dice loss optimises overlap directly and is far less sensitive to it; the common practice of summing Dice and cross-entropy takes the stable gradients of one and the imbalance-robustness of the other.
Dice is not the clinical quantity. It measures region overlap, and it can be high while a small lesion is missed entirely and low on a well-found structure with an ambiguous boundary. What matters clinically is usually detection — was this lesion found — and Dice does not report that.
nnU-Net’s whole argument, covered in the Marginalia, is that on this task the architecture was never the bottleneck. Spacing, patch size and preprocessing were.
Corollary
Report per-lesion detection alongside Dice. Two models with the same Dice can differ completely in how many findings they miss, and the second number is the one a clinician is asking for.