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DynMuon: A Dynamic Spectral Shaping View of Muon

arXiv:2605.17109v3 Announce Type: replace Abstract: In recent years, Muon has emerged as the dominant method for training large language models, and transformers more broadly. The essential difference, when compared to standard gradient descent methods, is to replace the usual update matrix $M=U\Sigma V^\top$ with its polar factor $UV^\top$. In this work, we consider a class of Muon-like updates, where we replace the update $M$ with $U\Sigma^p V^\top$ for some parameter $p$. We call this a...

arXiv CS 8d ago

The Spectral Dynamics and Noise Geometry of Muon

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Low-Rank Decay for Grokking in Scale-Invariant Transformers: A Spectral-Geometric View

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Five winning images of scientists at work

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Titan, Bharti Airtel & more: Top stocks to watch on June 8

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Bun Has Been Converted to Rust. Now What?

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SPF 'confusion' as sunscreens under investigation not recalled

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