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Optimization in machine learning, both theoretical and applied, is presently dominated by first-order gradient methods such as stochastic gradient descent. Second-order optimization methods, that involve second derivatives and/or second…

Machine Learning · Computer Science 2021-03-08 Rohan Anil , Vineet Gupta , Tomer Koren , Kevin Regan , Yoram Singer

Training large language models (LLMs) relies on adaptive optimizers such as Adam, which introduce extra operations and require significantly more memory to maintain first- and second-order moments than SGD. While recent works such as…

Machine Learning · Computer Science 2026-05-22 Athanasios Glentis , Jiaxiang Li , Andi Han , Mingyi Hong

Artificial intelligence has advanced rapidly through large neural networks trained on massive datasets using thousands of GPUs or TPUs. Such training can occupy entire data centers for weeks and requires enormous computational and energy…

Optimization and Control · Mathematics 2026-01-07 Artavazd Maranjyan

In recent years, large language models have achieved great success due to their unprecedented size. However, training these models poses a challenge for most researchers as it requires a substantial number of GPUs. To reduce GPU memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-01 Haichen Huang , Jiarui Fang , Hongxin Liu , Shenggui Li , Yang You

Large language models (LLMs) require enormous computing power to pretrain on massive datasets. When limited datasets are available, smaller-sized LLMs are better choice to pretrain (on user-specified datasets) by following the scaling laws…

Machine Learning · Computer Science 2026-03-23 Praveen Rao

Given the massive cost of language model pre-training, a non-trivial improvement of the optimization algorithm would lead to a material reduction on the time and cost of training. Adam and its variants have been state-of-the-art for years,…

Machine Learning · Computer Science 2024-03-06 Hong Liu , Zhiyuan Li , David Hall , Percy Liang , Tengyu Ma

The advent of the Transformer architecture has propelled the growth of natural language processing (NLP) models, leading to remarkable achievements in numerous NLP tasks. Yet, the absence of specialized hardware like expansive GPU memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-18 Xiaofeng Wu , Jia Rao , Wei Chen

First-order stochastic methods are the state-of-the-art in large-scale machine learning optimization owing to efficient per-iteration complexity. Second-order methods, while able to provide faster convergence, have been much less explored…

Machine Learning · Statistics 2017-12-01 Naman Agarwal , Brian Bullins , Elad Hazan

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

As deep learning models and input data are scaling at an unprecedented rate, it is inevitable to move towards distributed training platforms to fit the model and increase training throughput. State-of-the-art approaches and techniques, such…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 William Won , Taekyung Heo , Saeed Rashidi , Srinivas Sridharan , Sudarshan Srinivasan , Tushar Krishna

Large Language Models (LLMs) have significantly advanced natural language processing tasks such as machine translation, text generation, and sentiment analysis. However, their large size, often consisting of billions of parameters, poses…

Machine Learning · Computer Science 2024-05-29 Yanshu Wang , Wenyang He , Tong Yang

Transformers and large language models~(LLMs) have seen rapid adoption in all domains. Their sizes have exploded to hundreds of billions of parameters and keep increasing. Under these circumstances, the training of transformers is very…

Machine Learning · Computer Science 2026-04-14 Avinash Maurya , Jie Ye , M. Mustafa Rafique , Franck Cappello , Bogdan Nicolae

The memory challenges associated with training Large Language Models (LLMs) have become a critical concern, particularly when using the Adam optimizer. To address this issue, numerous memory-efficient techniques have been proposed, with…

Machine Learning · Computer Science 2025-02-12 Yiming Chen , Yuan Zhang , Yin Liu , Kun Yuan , Zaiwen Wen

Large language models (LLMs) are notoriously memory-intensive during training, particularly with the popular AdamW optimizer. This memory burden necessitates using more or higher-end GPUs or reducing batch sizes, limiting training…

Machine Learning · Computer Science 2025-02-18 Hanqing Zhu , Zhenyu Zhang , Wenyan Cong , Xi Liu , Sem Park , Vikas Chandra , Bo Long , David Z. Pan , Zhangyang Wang , Jinwon Lee

In machine learning, asynchronous parallel stochastic gradient descent (APSGD) is broadly used to speed up the training process through multi-workers. Meanwhile, the time delay of stale gradients in asynchronous algorithms is generally…

Machine Learning · Computer Science 2020-06-09 Lifu Wang , Bo Shen , Ning Zhao

Modern large language model (LLM) training is inherently dynamic: resource fluctuations, RLHF phase shifts, and cluster elasticity continually reshape the optimal parallelism layout, posing a significant challenge to existing training…

Machine Learning · Computer Science 2026-05-20 Yuanqing Wang , Yuchen Zhang , Hao Lin , Junhao Hu , Chunyang Zhu , Quanlu Zhang , Boxun Li , Guohao Dai , Zhi Yang , Daning Cheng , Yunquan Zhang , Yu Wang

As the parameters of Large Language Models (LLMs) have scaled to hundreds of billions, the demand for efficient training methods -- balancing faster computation and reduced memory usage without sacrificing accuracy -- has become more…

Machine Learning · Computer Science 2025-03-03 Kaan Ozkara , Tao Yu , Youngsuk Park

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

Optimization and Control · Mathematics 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

Modern machine learning is trained by stochastic gradient descent (SGD), whose performance critically depends on how the learning rate (LR) is adjusted and decreased over time. Yet existing LR regimes may be intricate, or need to tune one…

Machine Learning · Computer Science 2025-08-20 Zhuang Yang

AI accelerator processing capabilities and memory constraints largely dictate the scale in which machine learning workloads (e.g., training and inference) can be executed within a desirable time frame. Training a state of the art,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-12 Michael Benington , Leo Phan , Chris Pierre Paul , Evan Shoemaker , Priyanka Ranade , Torstein Collett , Grant Hodgson Perez , Christopher Krieger
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