GradPower: Powering Gradients for Faster Language Model Pre-Training

Fuente: arXiv
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Autori principali: Wang, Jinbo, Wang, Mingze, Zhang, Jiaqi, Wang, Wei, Pei, Peng, Cai, Xunliang, E, Weinan, Wu, Lei
Natura: Preprint
Pubblicazione: 2025
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author Wang, Jinbo
Wang, Mingze
Zhang, Jiaqi
Wang, Wei
Pei, Peng
Cai, Xunliang
E, Weinan
Wu, Lei
author_facet Wang, Jinbo
Wang, Mingze
Zhang, Jiaqi
Wang, Wei
Pei, Peng
Cai, Xunliang
E, Weinan
Wu, Lei
contents We propose GradPower, a lightweight gradient-transformation technique for accelerating language model pre-training. Given a gradient vector $g=(g_i)_i$, GradPower first applies the elementwise sign-power transformation: $φ_p(g)=({\rm sign}(g_i)|g_i|^p)_{i}$ for a fixed $p>0$, and then feeds the transformed gradient into a base optimizer. Notably, GradPower requires only a single-line code change and no modifications to the base optimizer's internal logic, including the hyperparameters. When applied to Adam (termed AdamPower), GradPower consistently achieves lower terminal loss across diverse architectures (LLaMA, Qwen2MoE), parameter scales (66M to 2B), datasets (C4, OpenWebText), and learning-rate schedules (cosine, warmup-stable-decay). The most pronounced gains are observed when training modern mixture-of-experts models with warmup-stable-decay schedules. GradPower also integrates seamlessly with other state-of-the-art optimizers, such as Muon, yielding further improvements. Finally, we provide theoretical analyses that reveal the underlying mechanism of GradPower and highlight the influence of gradient noise.
format Preprint
id arxiv_https___arxiv_org_abs_2505_24275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GradPower: Powering Gradients for Faster Language Model Pre-Training
Wang, Jinbo
Wang, Mingze
Zhang, Jiaqi
Wang, Wei
Pei, Peng
Cai, Xunliang
E, Weinan
Wu, Lei
Machine Learning
Optimization and Control
We propose GradPower, a lightweight gradient-transformation technique for accelerating language model pre-training. Given a gradient vector $g=(g_i)_i$, GradPower first applies the elementwise sign-power transformation: $φ_p(g)=({\rm sign}(g_i)|g_i|^p)_{i}$ for a fixed $p>0$, and then feeds the transformed gradient into a base optimizer. Notably, GradPower requires only a single-line code change and no modifications to the base optimizer's internal logic, including the hyperparameters. When applied to Adam (termed AdamPower), GradPower consistently achieves lower terminal loss across diverse architectures (LLaMA, Qwen2MoE), parameter scales (66M to 2B), datasets (C4, OpenWebText), and learning-rate schedules (cosine, warmup-stable-decay). The most pronounced gains are observed when training modern mixture-of-experts models with warmup-stable-decay schedules. GradPower also integrates seamlessly with other state-of-the-art optimizers, such as Muon, yielding further improvements. Finally, we provide theoretical analyses that reveal the underlying mechanism of GradPower and highlight the influence of gradient noise.
title GradPower: Powering Gradients for Faster Language Model Pre-Training
topic Machine Learning
Optimization and Control
url https://arxiv.org/abs/2505.24275