Aurora: A Leverage-Aware Spectral Optimizer

arXiv:2606.27715v1 Announce Type: new Abstract: 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 contribute meaningfully to network outputs. This problem is effectively mitigated by an additional row normalization step, but current methods do this in a way that moves the ...

arXiv cs.LG ·Alec Dewulf, Dhruv Pai, Li Yang, Ashley Zhang, Ben Keigwin ·
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