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arXiv cs.CL· Masato Fujitake·· 13 小时前AI 评分31

EnergyCal:抑制 Muon 系列优化器在稀疏 MoE 训练中的损失尖峰

EnergyCal: Taming Loss Spikes in Muon-Family Optimizers for Sparse MoE Training

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EnergyCal 是一种轻量规则,按路由专家有限步 Newton-Schulz 方向的归一化平方 Frobenius 范数衰减其更新,不改变谱变换、不增加持久优化器状态。

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Abstract:Sparse mixture-of-experts (MoE) language-model training can exhibit large loss spikes with Muon-family optimizers. We introduce EnergyCal, a lightweight rule that attenuates routed-expert updates according to the normalized squared Frobenius norm of their finite-step Newton-Schulz directions. EnergyCal leaves the spectral transform unchanged and adds no persistent optimizer state. We evaluate it on a 4B-parameter MoE model. Against a development-selected, lower-learning-rate MuonH recipe, EnergyCal-MuonH reduces mean thresholded loss-spike burden by 99.51% and final geometric-mean perplexity by 4.06%, with a modest throughput cost. With plain Muon at matched nominal learning rate and weight decay, the reduction in mean spike burden averages 95.98% across the two tested exponents, accompanied by small endpoint improvements. These findings support stabilization both with and without Hyperball in the evaluated setting.
Comments: 9 pages with appendices
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computation and Language (cs.CL)
Cite as: arXiv:2610.37062 [cs.LG]
  (or arXiv:2610.37062v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2610.37062

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Masato Fujitake [view email]
[v1] Tue, 27 Oct 2026 11:31:17 UTC (481 KB)

来源:arXiv cs.CL · arxiv.org