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News/From SGD to Muon: Adaptive Optimization via Schatten-p Norms
arxiv
PublishedMay 21, 2026 at 4:00 AM
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From SGD to Muon: Adaptive Optimization via Schatten-p Norms

Source
arxiv.orgfull article ↗
Read on arxiv→
Publisher summary· verbatim

arXiv:2605.19781v1 Announce Type: new Abstract: Modern optimizers, like Muon, impose matrix-wise geometry constraints on their updates. These matrix-wise constraints can be unified under Linear Minimization Oracle (LMO) theory. However, all current methods impose fixed LMO geometries for the update

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Discussion
Mentioned models
05
  • 01
    Muon
  • 02
    SGD
  • 03
    Adam
  • 04
    AdamW
  • 05
    MuAdam
Source
↗
arxiv
Read original ↗All from arxiv →
Tags
04
#optimization#deep learning#neural networks#artificial intelligence

No replies yet. Be first.

Mentioned models
05
  • 01
    Muon
  • 02
    SGD
  • 03
    Adam
  • 04
    AdamW
  • 05
    MuAdam
Source
↗
arxiv
Read original ↗All from arxiv →
Tags
04
#optimization#deep learning#neural networks#artificial intelligence

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