arXiv Machine Learning By Aryan Das, Vinay Kumar Verma, Aakansha Mishra

MUON-RT Reusing the Teacher's Trajectory for Momentum-Free Muon for LLM Self-Distillation

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The paper introduces Muon-RT, a variant of the Muon self‑distillation method that eliminates the need for a separate momentum buffer by reusing the teacher‑student displacement. By removing the radial component, normalizing spectrally, and mixing with the current gradient after Newton‑Schulz orthogonalization, Muon‑RT achieves linear contraction of the objective gap under certain assumptions. Experiments on Qwen2.5‑7B‑Instruct and Olmo‑3‑7B‑Instruct show that Muon‑RT outperforms AdamW and momentum Muon while reducing persistent memory usage by up to 42%.

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