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math.OC2026
Free Heavy-Tailed Lunch for Muon: A Theoretical Justification of Empirical Success
Florian Hübler, Thomas Pethick, Suvrit Sra
Non-Euclidean optimisation methods with matrix-valued updates, such as Muon and Scion, have recently shown strong empirical performance for training Transformer models, yet their t…
math.OC2026
The Multi-Block DC Function Class: Theory, Algorithms, and Applications
Pouria Fatemi, Hoomaan Maskan, Alp Yurtsever +1
We present the Multi-Block DC (BDC) class, a rich class of structured nonconvex functions that admit a DC ("difference-of-convex") decomposition across parameter blocks. This multi…