SIGNALAI·May 25, 2026, 4:00 AMSignal55Short term

HTMuon: Improving Muon via Heavy-Tailed Spectral Correction

Source: arXiv cs.LG

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HTMuon: Improving Muon via Heavy-Tailed Spectral Correction

arXiv:2603.10067v2 Announce Type: replace Abstract: Muon has recently shown promising results in LLM training. In this work, we study how to further improve Muon. We argue that Muon's orthogonalized update rule suppresses the emergence of heavy-tailed weight spectra and over-emphasizes the training along noise-dominated directions. Motivated by the Heavy-Tailed Self-Regularization (HT-SR) theory, we propose HTMuon. HTMuon preserves Muon's ability to capture parameter interdependencies while producing heavier-tailed updates and inducing heavier-tailed weight spectra. Experiments on LLM pretrain

Why this matters
Why now

The paper demonstrates an improvement to Muon, a recent LLM training method, indicating continuous refinement in core AI training algorithms as LLM development matures.

Why it’s important

Sophisticated readers should care about incremental improvements in LLM training, as these directly impact the efficiency, performance, and capabilities of future large language models.

What changes

The proposed HTMuon method offers a way to induce heavier-tailed weight spectra, potentially leading to more robust and higher-performing LLMs compared to the original Muon.

Winners
  • · LLM developers
  • · AI research institutions
  • · Cloud providers
Losers
  • · Inefficient LLM training methods
Second-order effects
Direct

Improved performance metrics for Large Language Models using HTMuon.

Second

Faster development cycles and deployment of more capable AI assistants and applications.

Third

Increased competition and innovation in the AI model architecture and training landscape.

Editorial confidence: 90 / 100 · Structural impact: 40 / 100
Original report

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