arxivcs.LG2026-06-26
Aurora: A Leverage-Aware Spectral Optimizer
Alec Dewulf, Dhruv Pai, Li Yang, Ashley Zhang, Ben Keigwin
We show that for tall matrix parameters, like projection matrices in the MLP layers, the Muon update can have row norms that are arbitrarily non-uniform. This can lead to a self-reinforcing feedback loop whereby neurons receive persistently small updates and eventually do not con…