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Gradient Descent with Large Step Size Restores Symmetry in Deep Linear Networks with Multi-Pathway

Hee-Sung Kim, Sungyoon Lee
Jun 5, 2026 at 04:00
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arXiv:2606.05219v1 Announce Type: cross Abstract: Recent analyses of multi-pathway Deep Linear Networks use Gradient Flow to predict a "winner-takes-all" specialization in which path symmetry breaks and each feature concentrates in a single pathway. In this work, we show that discrete Gradient Descent (GD) with a large step size tells a different...

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