Zippering Theory Explains Inter-Layer Axis Alignment
dyamins · x · 2026-07-13
This post introduces two core theories from a research paper:
- Weak-Strong Equivalence (WSE): For difficult tasks, if a model is already aligned at the "linear representation level," it can be mathematically deduced that it will also align to certain privileged axes.
- Zippering Theorems (ZIP): This explains why end-to-end optimization propagates the "zipper-like" convergence of later layers backward, ultimately causing axis alignment to appear in early or middle layers.
The author considers ZIP the core explanation for the "convergence evolution" phenomenon, pointing out that this theory provides a much more complete picture than WSE alone.
Related event: Zippering Theorem Research Wraps Up with Layer Alignment Theory(2 posts)→
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