Matrix optimizers likely within 5-10% CE of each other, researcher argues

_arohan_ · x · 2026-11-13

Tarun Kathuria argues that matrix optimizers are likely within 5-10% CE of each other. However, some benefit more from add-ons that encode structure into updates — Hyperball and row leverage scores being obvious examples — and the design space of how matrices/tensors are set up to optimize makes some behave better than others, with the Shampoo family more general than Muon in this regard. Retweeted by arohan.

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