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Related papers: Enhancing LLM Training via Spectral Clipping

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Recent developments in Parameter-Efficient Fine-Tuning (PEFT) methods for pretrained deep neural networks have captured widespread interest. In this work, we study the enhancement of current PEFT methods by incorporating the spectral…

Machine Learning · Computer Science 2024-11-05 Fangzhao Zhang , Mert Pilanci

Rapid advancements in GPU computational power has outpaced memory capacity and bandwidth growth, creating bottlenecks in Large Language Model (LLM) inference. Post-training quantization is the leading method for addressing memory-related…

Machine Learning · Computer Science 2024-10-14 Ayush Kaushal , Tejas Vaidhya , Arnab Kumar Mondal , Tejas Pandey , Aaryan Bhagat , Irina Rish

The $\mu$-parameterization ($\mu$P) provides a principled foundation for large language model (LLM) training by prescribing width-independent learning dynamics, which in turn enables predictable scaling behavior and robust hyperparameter…

Machine Learning · Computer Science 2026-01-08 John Zhao

Modern optimizers such as AdamW, equipped with momentum and adaptive learning rate, are designed to escape local minima and explore the vast parameter space. This exploration is beneficial for finding good loss basins when training from…

Machine Learning · Computer Science 2024-11-05 Junjiao Tian , Chengyue Huang , Zsolt Kira

Training and fine-tuning large language models (LLMs) come with challenges related to memory and computational requirements due to the increasing size of the model weights and the optimizer states. Various techniques have been developed to…

Machine Learning · Computer Science 2025-12-09 Yehonathan Refael , Jonathan Svirsky , Boris Shustin , Wasim Huleihel , Ofir Lindenbaum

Pretrained Language Models (PLMs) have advanced Natural Language Processing (NLP) tasks significantly, but finetuning PLMs on low-resource datasets poses significant challenges such as instability and overfitting. Previous methods tackle…

Computation and Language · Computer Science 2024-03-20 Sai Ashish Somayajula , Youwei Liang , Abhishek Singh , Li Zhang , Pengtao Xie

Both full fine-tuning (Full FT) and parameter-efficient fine-tuning methods such as LoRA introduce weight updates without accounting for the spectral structure established during pretraining. As a result, noisy gradients from limited…

Machine Learning · Computer Science 2026-05-25 Yequan Zhao , Ruijie Zhang , Liyan Tan , Niall Moran , Tong Qin , Zheng Zhang

To stabilize the training of Large Language Models (LLMs), gradient clipping is a nearly ubiquitous heuristic used to alleviate exploding gradients. However, traditional global norm clipping erroneously presupposes gradient homogeneity…

Machine Learning · Computer Science 2026-01-21 Zhiyuan Li , Yuan Wu , Yi Chang

Training large language models (LLMs) poses challenges due to their massive scale and heterogeneous architectures. While adaptive optimizers like AdamW help address gradient variations, they still struggle with efficient and effective…

Machine Learning · Computer Science 2025-06-03 Siyuan Li , Juanxi Tian , Zedong Wang , Xin Jin , Zicheng Liu , Wentao Zhang , Dan Xu

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…

Machine Learning · Computer Science 2026-05-25 Tianyu Pang , Yujie Fang , Zihang Liu , Shenyang Deng , Lei Hsiung , Shuhua Yu , Yaoqing Yang

Large Language Models (LLMs) are difficult to fully fine-tune (e.g., with instructions or human feedback) due to their sheer number of parameters. A family of parameter-efficient sparse fine-tuning methods have proven promising in terms of…

Computation and Language · Computer Science 2024-02-05 Alan Ansell , Ivan Vulić , Hannah Sterz , Anna Korhonen , Edoardo M. Ponti

Scaling laws have made language-model performance predictable from model size, data, and compute, but they typically treat the optimizer as a fixed training detail. We show that this assumption misses a fundamental axis of representation…

Machine Learning · Computer Science 2026-05-22 Nandan Kumar Jha , Brandon Reagen

Stochastic gradient-based descent (SGD), have long been central to training large language models (LLMs). However, their effectiveness is increasingly being questioned, particularly in large-scale applications where empirical evidence…

Machine Learning · Computer Science 2025-07-03 Di Zhang , Yihang Zhang

We introduce Pion, a spectrum-preserving optimizer for large language model (LLM) training based on orthogonal equivalence transformation. Unlike additive optimizers such as Adam and Muon, Pion updates each weight matrix through left and…

Machine Learning · Computer Science 2026-05-13 Kexuan Shi , Hanxuan Li , Zeju Qiu , Yandong Wen , Simon Buchholz , Weiyang Liu

Muon is a matrix-aware optimizer that leverages Newton-Schulz (NS) iterations to enforce spectral gradient orthogonalization by driving all singular values of the momentum matrix toward 1. While this uniform spectral whitening enhances…

Machine Learning · Computer Science 2026-05-20 Chongyu Fan , Gaowen Liu , Mingyi Hong , Ramana Rao Kompella , Sijia Liu

Post-training pruning has emerged as a crucial optimization technique as large language models (LLMs) continue to grow rapidly. However, the significant variations in weight distributions across different LLMs make fixed pruning strategies…

Computation and Language · Computer Science 2025-05-26 Shuqi Liu , Bowei He , Han Wu , Linqi Song

Despite the superior performance, it is challenging to deploy foundation models or large language models (LLMs) due to their massive parameters and computations. While pruning is a promising technique to reduce model size and accelerate the…

Machine Learning · Computer Science 2024-10-22 Pu Zhao , Fei Sun , Xuan Shen , Pinrui Yu , Zhenglun Kong , Yanzhi Wang , Xue Lin

Low-rank training has emerged as a promising approach for reducing memory usage in training Large Language Models (LLMs). Previous methods either rely on decomposing weight matrices (e.g., LoRA), or seek to decompose gradient matrices…

Machine Learning · Computer Science 2025-11-18 Xi Chen , Kaituo Feng , Changsheng Li , Xunhao Lai , Xiangyu Yue , Ye Yuan , Guoren Wang

Large Language Models (LLMs) achieve competitive performance across diverse natural language processing (NLP) tasks, yet pretraining is computationally demanding, making optimizer efficiency an important practical consideration. Muon…

Machine Learning · Computer Science 2026-01-22 Jingru Li , Yibo Fan , Huan Li

The reliable application of deep learning models to software engineering tasks hinges on high-quality training data. Yet, large-scale repositories inevitably introduce noisy or mislabeled examples that degrade both accuracy and robustness.…

Software Engineering · Computer Science 2025-12-05 Zixiao Zhao , Fatemeh H. Fard , Jie JW Wu