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Adaptive matrix online learning through smoothing with guarantees for nonsmooth nonconvex optimization.arXiv preprint arXiv:2602.08232

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Phases of Muon: When Muon Eclipses SignSGD

math.OC · 2026-05-10 · unverdicted · novelty 7.0

On power-law covariance least squares problems, SignSVD (Muon) and SignSGD (Adam proxy) show three phases of relative performance depending on data exponent α and target exponent β.

Muon Does Not Converge on Convex Lipschitz Functions

cs.LG · 2026-05-09 · unverdicted · novelty 6.0

Muon does not converge on convex Lipschitz functions regardless of learning rate, while error feedback restores theoretical convergence but degrades performance on CIFAR-10 and nanoGPT tasks.

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  • Phases of Muon: When Muon Eclipses SignSGD math.OC · 2026-05-10 · unverdicted · none · ref 34

    On power-law covariance least squares problems, SignSVD (Muon) and SignSGD (Adam proxy) show three phases of relative performance depending on data exponent α and target exponent β.

  • Optimal Projection-Free Adaptive SGD for Matrix Optimization math.OC · 2026-04-02 · unverdicted · none · ref 1

    Proving stability of Leon's preconditioner enables the first tuning-free Nesterov-accelerated projection-free adaptive SGD variant with improved non-smooth non-convex rates.