Regularization Implies balancedness in the deep linear network

arXiv — cs.LGTuesday, November 4, 2025 at 5:00:00 AM
A recent study on deep linear networks reveals exciting insights into their training dynamics. By applying geometric invariant theory, researchers demonstrate that the $L^2$ regularizer is minimized on a balanced manifold, leading to a clearer understanding of how training flows can be decomposed into distinct regularizing and learning processes. This breakthrough not only enhances our grasp of deep learning mechanisms but also paves the way for more efficient training methods in artificial intelligence.
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