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The training scale of large language models (LLMs) has reached tens of thousands of GPUs and is still continuously expanding, enabling faster learning of larger models. Accompanying the expansion of the resource scale is the prevalence of…

Training high-capacity vision models from scratch requires substantial computational resources. To improve training efficiency of a wide target model, existing growth methods often assume the availability of narrower models, obscuring the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Maxim Henry , Adrien Deliège , Sébastien Piérard , Marc Van Droogenbroeck

While large language models (LLMs) dominate the AI landscape, Small-scale large Language Models (SLMs) are gaining attention due to cost and efficiency demands from consumers. However, there is limited research on the training behavior and…

Synchronized stochastic gradient descent (SGD) optimizers with data parallelism are widely used in training large-scale deep neural networks. Although using larger mini-batch sizes can improve the system scalability by reducing the…

Block coordinate descent (BCD) methods are prevalent in large scale optimization problems due to the low memory and computational costs per iteration, the predisposition to parallelization, and the ability to exploit the structure of the…

Optimization and Control · Mathematics 2025-10-31 Luis Briceño-Arias , Paulo Gonçalves , Guillaume Lauga , Nelly Pustelnik , Elisa Riccietti

In recent years, large language models (LLMs) have made remarkable progress, with model optimization primarily relying on gradient-based optimizers such as Adam. However, these gradient-based methods impose stringent hardware requirements,…

Artificial Intelligence · Computer Science 2025-10-24 WenTao Liu , Siyu Song , Hao Hao , Aimin Zhou

Training large language models (LLMs) is a computationally intensive task, which is typically conducted in data centers with homogeneous high-performance GPUs. In this paper, we explore an alternative approach by deploying training…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Ran Yan , Youhe Jiang , Xiaonan Nie , Fangcheng Fu , Bin Cui , Binhang Yuan

Large Language Models (LLMs) are typically trained in two phases: pre-training on large internet-scale datasets, and fine-tuning for downstream tasks. Given the higher computational demand of pre-training, it's intuitive to assume that…

Machine Learning · Computer Science 2024-10-15 James Liu , Guangxuan Xiao , Kai Li , Jason D. Lee , Song Han , Tri Dao , Tianle Cai

Scaling long-context ability is essential for Large Language Models (LLMs). To amortize the memory consumption across multiple devices in long-context training, inter-data partitioning (a.k.a. Data Parallelism) and intra-data partitioning…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-01 Hao Ge , Junda Feng , Qi Huang , Fangcheng Fu , Xiaonan Nie , Lei Zuo , Haibin Lin , Bin Cui , Xin Liu

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

Machine Learning · Statistics 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry

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…

Distributed, Parallel, and Cluster Computing · Computer Science 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

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) have revolutionized Natural Language Processing (NLP) but demand massive GPU resources for training. Lowering the threshold for LLMs training would encourage greater participation from researchers, benefiting…

Computation and Language · Computer Science 2024-06-07 Kai Lv , Yuqing Yang , Tengxiao Liu , Qinghui Gao , Qipeng Guo , Xipeng Qiu

Large language models (LLMs) have demonstrated remarkable success as foundational models, benefiting various downstream applications through fine-tuning. Recent studies on loss scaling have demonstrated the superior performance of larger…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Sajal Dash , Isaac Lyngaas , Junqi Yin , Xiao Wang , Romain Egele , Guojing Cong , Feiyi Wang , Prasanna Balaprakash

The escalating scale and cost of Large Language Models (LLMs) training necessitate accurate pre-training prediction of downstream task performance for comprehensive understanding of scaling properties. This is challenged by: 1) the…

Computation and Language · Computer Science 2026-03-10 Chengyin Xu , Kaiyuan Chen , Xiao Li , Ke Shen , Chenggang Li

Increasing the mini-batch size for stochastic gradient descent offers significant opportunities to reduce wall-clock training time, but there are a variety of theoretical and systems challenges that impede the widespread success of this…

The prohibitive training costs of Large Language Models (LLMs) have emerged as a significant bottleneck in the development of next-generation LLMs. In this paper, we show that it is possible to significantly reduce the training costs of…

Computation and Language · Computer Science 2025-05-16 Chenze Shao , Fandong Meng , Jie Zhou

Training Large Language Models (LLMs) presents significant memory challenges, predominantly due to the growing size of weights and optimizer states. Common memory-reduction approaches, such as low-rank adaptation (LoRA), add a trainable…

Machine Learning · Computer Science 2024-06-04 Jiawei Zhao , Zhenyu Zhang , Beidi Chen , Zhangyang Wang , Anima Anandkumar , Yuandong Tian

Large Language Models (LLMs) can perform many NLP tasks well, but fully fine-tuning them is expensive and requires a lot of memory. Parameter-Efficient Fine-Tuning (PEFT) methods such as LoRA reduce this cost by adding small low-rank…

Machine Learning · Computer Science 2025-12-19 Anshul Kumar , Gagan Raj Gupta , Manisha Chawla

Large Language Models (LLMs) have seen great advance in both academia and industry, and their popularity results in numerous open-source frameworks and techniques in accelerating LLM pre-training, fine-tuning, and inference. Training and…

Performance · Computer Science 2023-12-04 Longteng Zhang , Xiang Liu , Zeyu Li , Xinglin Pan , Peijie Dong , Ruibo Fan , Rui Guo , Xin Wang , Qiong Luo , Shaohuai Shi , Xiaowen Chu