arxiv
PublishedApril 8, 2026 at 4:00 AM
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The Polar Express: Optimal Matrix Sign Methods and Their Application to the Muon Algorithm
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arXiv:2505.16932v4 Announce Type: replace-cross Abstract: Computing the polar decomposition and the related matrix sign function has been a well-studied problem in numerical analysis for decades. Recently, it has emerged as an important subroutine within the Muon optimizer for training deep neural n
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