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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

It is known that the standard stochastic gradient descent (SGD) optimization method, as well as accelerated and adaptive SGD optimization methods such as the Adam optimizer fail to converge if the learning rates do not converge to zero (as,…

Optimization and Control · Mathematics 2024-06-21 Steffen Dereich , Arnulf Jentzen , Adrian Riekert

Large Language Models (LLMs) have significantly advanced natural language processing with exceptional task generalization capabilities. Low-Rank Adaption (LoRA) offers a cost-effective fine-tuning solution, freezing the original model…

Machine Learning · Computer Science 2025-03-18 Jun Zhang , Jue Wang , Huan Li , Lidan Shou , Ke Chen , Yang You , Guiming Xie , Xuejian Gong , Kunlong Zhou

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

This study explores a novel approach to enhance the performance of Large Language Models (LLMs) through the optimization of input data within prompts. While previous research has primarily focused on refining instruction components and…

Machine Learning · Computer Science 2025-02-18 Sam Lin , Wenyue Hua , Lingyao Li , Zhenting Wang , Yongfeng Zhang

Large Language Models (LLMs) have demonstrated exceptional performance across diverse tasks, yet their training remains highly resource-intensive and susceptible to critical challenges such as training instability. A predominant source of…

Machine Learning · Computer Science 2025-03-03 Tianjin Huang , Ziquan Zhu , Gaojie Jin , Lu Liu , Zhangyang Wang , Shiwei Liu

Transformers consist of diverse building blocks, such as embedding layers, normalization layers, self-attention mechanisms, and point-wise feedforward networks. Thus, understanding the differences and interactions among these blocks is…

Machine Learning · Computer Science 2025-06-16 Jinbo Wang , Mingze Wang , Zhanpeng Zhou , Junchi Yan , Weinan E , Lei Wu

Small language models (SLMs) have attracted considerable attention from both academia and industry due to their broad range of applications in edge devices. To obtain SLMs with strong performance, conventional approaches either pre-train…

Machine Learning · Computer Science 2025-11-17 Rui Pan , Shivanshu Shekhar , Boyao Wang , Shizhe Diao , Jipeng Zhang , Xingyuan Pan , Renjie Pi , Tong Zhang

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

Large language model (LLM) training is often bottlenecked by memory constraints and stochastic gradient noise in extremely high-dimensional parameter spaces. Motivated by empirical evidence that many LLM gradient matrices are effectively…

Machine Learning · Computer Science 2026-03-24 Zehao Li , Tao Ren , Zishi Zhang , Xi Chen , Yijie Peng

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

The recent progress made in large language models (LLMs) has brought tremendous application prospects to the world. The growing model size demands LLM training on multiple GPUs, while data parallelism is the most popular distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Mo Sun , Zihan Yang , Changyue Liao , Yingtao Li , Fei Wu , Zeke Wang

Large Language Models (LLMs) demonstrate robust capabilities across various fields, leading to a paradigm shift in LLM-enhanced Recommender System (RS). Research to date focuses on point-wise and pair-wise recommendation paradigms, which…

Information Retrieval · Computer Science 2024-09-30 Wen-Shuo Chao , Zhi Zheng , Hengshu Zhu , Hao Liu

Recent alignment work on Large Language Models (LLMs) suggests preference optimization can improve reasoning by shifting probability mass toward better solutions. We test this claim in a resource-constrained setting by applying GRPO with…

Machine Learning · Computer Science 2026-04-09 Suraj Yadav , Siddharth Yadav , Parth Goyal

Accelerator memory and networking constraints have emerged as dominant bottlenecks when training large language models LLMs with billions of parameters. Existing low rank gradient estimators such as GaLoRE and FLORA compress gradients and…

Machine Learning · Computer Science 2025-05-27 Matan Haroush , Daniel Soudry

Define an optimizer as having memory $k$ if it stores $k$ dynamically changing vectors in the parameter space. Classical SGD has memory $0$, momentum SGD optimizer has $1$ and Adam optimizer has $2$. We address the following questions: How…

Machine Learning · Computer Science 2024-02-26 Balázs Szegedy , Domonkos Czifra , Péter Kőrösi-Szabó

Despite exceptional capabilities, Large Language Models (LLMs) still face deployment challenges due to their enormous size. Post-training structured pruning is a promising solution that prunes LLMs without the need for retraining, reducing…

Machine Learning · Computer Science 2025-02-21 Weizhong Huang , Yuxin Zhang , Xiawu Zheng , Fei Chao , Rongrong Ji

Preference optimization is widely used to align Large Language Models (LLMs) with preference feedback. However, most existing methods train on a single positive-negative pair per prompt, discarding additional supervision available in…

Computation and Language · Computer Science 2026-04-20 Jixuan Leng , Si Si , Hsiang-Fu Yu , Vinod Raman , Inderjit S. Dhillon

Modern language-model training is increasingly exposed to instability, degraded runs, and wasted compute, especially under aggressive learning-rate, scale, and runtime-stress conditions. This paper introduces Learn-by-Wire Guard…

Artificial Intelligence · Computer Science 2026-05-20 Anis Radianis

Reinforcement learning (RL) has become central to training large language models (LLMs), yet the field lacks predictive scaling methodologies comparable to those established for pre-training. Despite rapidly rising compute budgets, there is…