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paperarXivTrust 82 · PrimaryPublished 7d agoLive · 4d ago

Approximate Muon with low-rank adapters

The Muon optimizer shows clear benefits versus alternatives when pretraining neural networks. However, it is used less frequently for parameter-efficient fine-tuning (PEFT). One potential reason is that the most common PEFT method, LoRA, does not naturally combine with Muon since it is not mathematically possible to orthogonalize the weight update given by a low-rank parameterization. In this paper, we address this issue by approximating the solution to a relaxed Muon objective in the low-rank setting via linearization and then least-squares. We provide an efficient implementation that uses ma

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  • LinkedLinked via arxiv author · 85%Ben Anson

    Approximate Muon with low-rank adapters

  • LinkedLinked via arxiv author · 85%Conor Houghton

    Approximate Muon with low-rank adapters

  • LinkedLinked via arxiv author · 85%Edward Milsom

    Approximate Muon with low-rank adapters

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