Proposition 1III.6.P0166 of 76 in the corpus
The task lives in the head and the loss, not in the backbone.
One encoder serves classification, detection, segmentation, depth and retrieval. What changes is the shape of the output and the function that scores it.
Demonstration
Five questions of one photograph:
classification image → one label
detection image → a set of (box, label, score)
segmentation image → a label per pixel
depth image → a distance per pixel
retrieval image → a vector, to compare with others
The encoder can be identical across all five. What differs is the head — a few layers — and the loss.
The organising distinction is what happens to the spatial axes.
Classification collapses them. Global average pooling turns H × W × C into C, and after that no spatial question can be answered.
Detection keeps them coarsely. Predictions are made at feature-map positions, so output stride sets the smallest object that can be localised.
Segmentation and depth must keep them fully, which is why both use encoder–decoder shapes and why Proposition 3 is about getting the resolution back.
Retrieval collapses them like classification but scores differently: there is no fixed label set, only a metric.
This is the practical content of transfer learning. A backbone pretrained for classification is useful for detection because the features are about content, and content is what all five questions are asked about. Only the last part is task-specific, which is exactly the ordering Chapter III found in the hierarchy.
Corollary
When a vision result improves, ask which of the three moved: backbone, head or loss. Papers frequently change all three and attribute the gain to the one in the title, and the ablation that separates them is the part worth reading.