HTMuon modifies Muon to produce heavier-tailed updates and weight spectra via HT-SR theory, yielding up to 0.98 lower perplexity on LLaMA pretraining and serving as a plug-in for other Muon variants.
For example, COSMOS outperforms Muon by 0.15 PPL for LLaMA-135M in (Liu et al., 2025b) and AlphaDecay outperforms Adam by 0.11 PPL for LLaMA-1B in (He et al., 2025)
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HTMuon: Improving Muon via Heavy-Tailed Spectral Correction
HTMuon modifies Muon to produce heavier-tailed updates and weight spectra via HT-SR theory, yielding up to 0.98 lower perplexity on LLaMA pretraining and serving as a plug-in for other Muon variants.