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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…

机器学习 · 计算机科学 2024-11-05 Junjiao Tian , Chengyue Huang , Zsolt Kira

It has been verified that the linear programming (LP) is able to formulate many real-life optimization problems, which can obtain the optimum by resorting to corresponding solvers such as OptVerse, Gurobi and CPLEX. In the past decades, a…

最优化与控制 · 数学 2022-01-19 Xijun Li , Qingyu Qu , Fangzhou Zhu , Jia Zeng , Mingxuan Yuan , Kun Mao , Jie Wang

Lion optimizer is a popular learning-based optimization algorithm in machine learning, which shows impressive performance in training many deep learning models. Although convergence property of the Lion optimizer has been studied, its…

机器学习 · 计算机科学 2026-04-17 Feihu Huang , Guanyi Zhang , Songcan Chen

Optimization algorithms are core methods by which machine learning models iteratively minimize loss functions, update parameters, learn from data, and improve performance. Momentum SGD and AdamW represent two important optimization…

机器学习 · 计算机科学 2026-05-21 Meng Zhu , Quan Xiao , Weidong Min

Large language models (LLMs) are computationally intensive. The computation workload and the memory footprint grow quadratically with the dimension (layer width). Most of LLMs' parameters come from the linear layers of the transformer…

机器学习 · 计算机科学 2024-02-22 Xiao-Yang Liu , Jie Zhang , Guoxuan Wang , Weiqing Tong , Anwar Walid

Much as replacing hand-designed features with learned functions has revolutionized how we solve perceptual tasks, we believe learned algorithms will transform how we train models. In this work we focus on general-purpose learned optimizers…

机器学习 · 计算机科学 2020-09-24 Luke Metz , Niru Maheswaranathan , C. Daniel Freeman , Ben Poole , Jascha Sohl-Dickstein

The scaling law for large language models (LLMs) depicts that the path towards machine intelligence necessitates training at large scale. Thus, companies continuously build large-scale GPU clusters, and launch training jobs that span over…

分布式、并行与集群计算 · 计算机科学 2025-09-22 Guoliang He , Youhe Jiang , Wencong Xiao , Kaihua Jiang , Shuguang Wang , Jun Wang , Zixian Du , Zhuo Jiang , Xinlei Zhang , Binhang Yuan , Eiko Yoneki

There is a consensus that instruction fine-tuning of LLMs requires high-quality data, but what are they? LIMA (NeurIPS 2023) and AlpaGasus (ICLR 2024) are state-of-the-art methods for selecting such high-quality examples, either via manual…

计算与语言 · 计算机科学 2024-06-05 Hao Zhao , Maksym Andriushchenko , Francesco Croce , Nicolas Flammarion

The autoresearch repository enables an LLM agent to optimize hyperparameters by editing training code directly. We use it as a testbed to compare classical HPO algorithms against LLM-based methods on tuning the hyperparameters of a small…

机器学习 · 计算机科学 2026-04-21 Fabio Ferreira , Lucca Wobbe , Arjun Krishnakumar , Frank Hutter , Arber Zela

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…

机器学习 · 计算机科学 2025-11-18 Xi Chen , Kaituo Feng , Changsheng Li , Xunhao Lai , Xiangyu Yue , Ye Yuan , Guoren Wang

Automated optimization modeling via Large Language Models (LLMs) has emerged as a promising approach to assist complex human decision-making. While post-training has become a pivotal technique to enhance LLMs' capabilities in this domain,…

机器学习 · 计算机科学 2026-02-13 Weiting Liu , Han Wu , Yufei Kuang , Xiongwei Han , Tao Zhong , Jianfeng Feng , Wenlian Lu

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…

机器学习 · 计算机科学 2026-05-22 Nandan Kumar Jha , Brandon Reagen

In continual learning from demonstration (CLfD), a robot learns a sequence of real-world motion skills continually from human demonstrations. Recently, hypernetworks have been successful in solving this problem. In this paper, we perform an…

机器人学 · 计算机科学 2024-01-02 Sayantan Auddy , Sebastian Bergner , Justus Piater

This paper investigates the impact of different optimizers on the grokking phenomenon, where models exhibit delayed generalization. We conducted experiments across seven numerical tasks (primarily modular arithmetic) using a modern…

机器学习 · 计算机科学 2025-04-23 Amund Tveit , Bjørn Remseth , Arve Skogvold

Large Language Models (LLMs) have demonstrated remarkable success across various domains, yet their optimization remains a significant challenge due to the complex and high-dimensional loss landscapes they inhabit. While adaptive optimizers…

机器学习 · 计算机科学 2025-10-13 Liming Liu , Zhenghao Xu , Zixuan Zhang , Hao Kang , Zichong Li , Chen Liang , Weizhu Chen , Tuo Zhao

This study introduces the LPBSA, an advanced optimization algorithm that combines Learner Performance-based Behavior (LPB) and Simulated Annealing (SA) in a hybrid approach. Emphasizing metaheuristics, the LPBSA addresses and mitigates the…

神经与进化计算 · 计算机科学 2025-01-29 Dana R. Hamad , Tarik A. Rashid

The quality of Large Language Model (LLM) pretraining depends on multiple factors, including the compute budget and the choice of optimization algorithm. Empirical scaling laws are widely used to predict loss as model size and training data…

机器学习 · 计算机科学 2026-02-25 Alexandra Volkova , Mher Safaryan , Christoph H. Lampert , Dan Alistarh

The scaling of Large Language Models (LLMs) drives interest in matrix-based optimizers (e.g., Shampoo, Muon, SOAP) for their convergence efficiency; yet their requirement for holistic updates conflicts with the tensor fragmentation in…

分布式、并行与集群计算 · 计算机科学 2026-02-09 Liangyu Wang , Siqi Zhang , Junjie Wang , Yiming Dong , Bo Zheng , Zihan Qiu , Shengkun Tang , Di Wang , Rui Men , Dayiheng Liu

Large language models (LLMs) show promise for automated code optimization. However, without performance context, they struggle to produce correct and effective code transformations. Existing performance tools can identify bottlenecks but…

性能 · 计算机科学 2026-04-28 Mohammad Zaeed , Tanzima Z. Islam , Vladimir Indic

Recently, flat-minima optimizers, which seek to find parameters in low-loss neighborhoods, have been shown to improve a neural network's generalization performance over stochastic and adaptive gradient-based optimizers. Two methods have…

机器学习 · 计算机科学 2023-01-30 Jean Kaddour , Linqing Liu , Ricardo Silva , Matt J. Kusner