Spectral optimizers like Muon show sharp capacity scaling in associative memory tasks

A new paper analyzes the performance of spectral optimizers, like Muon, in training large language models by examining their effectiveness in learning associative memory. The research demonstrates that Muon significantly surpasses standard Stochastic Gradient Descent (SGD) in storing associations, even matching Newton's method while using only first-order information. The study also highlights Muon's superior critical batch size and faster initial recovery rate compared to SGD, providing a quantitative understanding of spectral preconditioners' signal amplification. AI

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IMPACT Provides a theoretical understanding of spectral optimizers, potentially guiding future advancements in LLM training efficiency.

RANK_REASON Academic paper analyzing a specific optimization technique for large language models.

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• Muon
• SGD
• Newton's method
• Juno Kim
• arXiv

• paper
• infra