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Autori principali: He, Wei, Han, Kai, Zhou, Hang, Chen, Hanting, Liu, Zhicheng, Chen, Xinghao, Wang, Yunhe
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2511.20626
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author He, Wei
Han, Kai
Zhou, Hang
Chen, Hanting
Liu, Zhicheng
Chen, Xinghao
Wang, Yunhe
author_facet He, Wei
Han, Kai
Zhou, Hang
Chen, Hanting
Liu, Zhicheng
Chen, Xinghao
Wang, Yunhe
contents The optimization of large language models (LLMs) remains a critical challenge, particularly as model scaling exacerbates sensitivity to algorithmic imprecision and training instability. Recent advances in optimizers have improved convergence efficiency through momentum orthogonalization, but suffer from two key robustness limitations: dimensional fragility in orthogonalization precision and vulnerability to outlier-induced noise. To address these robustness challenges, we introduce ROOT, a Robust Orthogonalized Optimizer that enhances training stability through dual robustness mechanisms. First, we develop a dimension-robust orthogonalization scheme using adaptive Newton iterations with fine-grained coefficients tailored to specific matrix sizes, ensuring consistent precision across diverse architectural configurations. Second, we introduce an optimization-robust framework via proximal optimization that suppresses outlier noise while preserving meaningful gradient directions. Extensive experiments demonstrate that ROOT achieves significantly improved robustness, with faster convergence and superior final performance compared to both Muon and Adam-based optimizers, particularly in noisy and non-convex scenarios. Our work establishes a new paradigm for developing robust and precise optimizers capable of handling the complexities of modern large-scale model training. The code will be available at https://github.com/huawei-noah/noah-research/tree/master/ROOT.
format Preprint
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publishDate 2025
record_format arxiv
spellingShingle ROOT: Robust Orthogonalized Optimizer for Neural Network Training
He, Wei
Han, Kai
Zhou, Hang
Chen, Hanting
Liu, Zhicheng
Chen, Xinghao
Wang, Yunhe
Machine Learning
Artificial Intelligence
The optimization of large language models (LLMs) remains a critical challenge, particularly as model scaling exacerbates sensitivity to algorithmic imprecision and training instability. Recent advances in optimizers have improved convergence efficiency through momentum orthogonalization, but suffer from two key robustness limitations: dimensional fragility in orthogonalization precision and vulnerability to outlier-induced noise. To address these robustness challenges, we introduce ROOT, a Robust Orthogonalized Optimizer that enhances training stability through dual robustness mechanisms. First, we develop a dimension-robust orthogonalization scheme using adaptive Newton iterations with fine-grained coefficients tailored to specific matrix sizes, ensuring consistent precision across diverse architectural configurations. Second, we introduce an optimization-robust framework via proximal optimization that suppresses outlier noise while preserving meaningful gradient directions. Extensive experiments demonstrate that ROOT achieves significantly improved robustness, with faster convergence and superior final performance compared to both Muon and Adam-based optimizers, particularly in noisy and non-convex scenarios. Our work establishes a new paradigm for developing robust and precise optimizers capable of handling the complexities of modern large-scale model training. The code will be available at https://github.com/huawei-noah/noah-research/tree/master/ROOT.
title ROOT: Robust Orthogonalized Optimizer for Neural Network Training
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.20626