math.OC · 2026-08-03 · No. 73

Optimization and Control, 2026-08-03.

1 new papers in math.OC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Sign compression for Muon: SignMuon, MuonSign, and the Limits of Error Feedback

    Maria Smirnova, Alexey Kravatskiy

    math.OC · cs.LG

    SignMuon compresses the Muon update to one bit per parameter by taking its elementwise sign, providing the most direct way to run a matrix-aware optimizer under an extremely low communication budget. It outperforms SignSGD in practice, yet it can ascend even on a linear function. Signing the gradient before the Linear Minimization Oracle (LMO), rather than after, does not repair this: we construct a small explicit instance on which...

    arxiv.org/abs/2607.29674 · PDF

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