Flag Varieties: A Geometric Framework for Deep Network Alignment
Alignment, the tendency of adjacent weight matrices in deep networks to develop compatible subspace orientations, underlies gradient flow, Neural Collapse, and representation similarity across architectures. Despite extensive empirical documentation, these phenomena have resisted unified theoretical treatment: existing explanations are post-hoc, each fitted to a specific observation with whatever mathematics is at hand. We reverse this direction by deriving the mathematical structure that layerw
Record details
Published: 11 May 2026
Source: arXiv
Category: Research
Topics: Safety & alignment
Retrieved: 14 July 2026
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ethics.ai (11 May 2026), “Flag Varieties: A Geometric Framework for Deep Network Alignment,” evidence record 4602, https://ethics.ai/record/4602 (originally published by arXiv).
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