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The rapid scaling of large language models (LLMs) has made low-precision training essential for reducing memory, improving efficiency, and enabling larger models and datasets. Existing convergence theories for adaptive optimizers, however,…

Machine Learning · Computer Science 2026-03-03 Xuan Tang , Jichu Li , Difan Zou

Large language models (LLMs) have been applied in various applications due to their astonishing capabilities. With advancements in technologies such as chain-of-thought (CoT) prompting and in-context learning (ICL), the prompts fed to LLMs…

Computation and Language · Computer Science 2023-12-07 Huiqiang Jiang , Qianhui Wu , Chin-Yew Lin , Yuqing Yang , Lili Qiu

To efficiently train large-scale models, low-bit gradient communication compresses full-precision gradients on local GPU nodes into low-precision ones for higher gradient synchronization efficiency among GPU nodes. However, it often…

Machine Learning · Computer Science 2024-12-02 Xingyu Xie , Zhijie Lin , Kim-Chuan Toh , Pan Zhou

Slow and costly communication is often the main bottleneck in distributed optimization, especially in federated learning where it occurs over wireless networks. We introduce BiCoLoR, a communication-efficient optimization algorithm that…

Optimization and Control · Mathematics 2026-01-21 Laurent Condat , Artavazd Maranjyan , Peter Richtárik

Alignment methodologies have emerged as a critical pathway for enhancing language model alignment capabilities. While SFT (supervised fine-tuning) accelerates convergence through direct token-level loss intervention, its efficacy is…

Communication has emerged as a critical bottleneck in the distributed training of large language models (LLMs). While numerous approaches have been proposed to reduce communication overhead, the potential of lossless compression has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Wenxiang Lin , Xinglin Pan , Ruibo Fan , Shaohuai Shi , Xiaowen Chu

This paper addresses the challenges of training large neural network models under federated learning settings: high on-device memory usage and communication cost. The proposed Online Model Compression (OMC) provides a framework that stores…

Machine Learning · Computer Science 2022-05-10 Tien-Ju Yang , Yonghui Xiao , Giovanni Motta , Françoise Beaufays , Rajiv Mathews , Mingqing Chen

The choice of optimizer significantly impacts the training efficiency and computational costs of large language models (LLMs). Recently, the Muon optimizer has demonstrated promising results by orthogonalizing parameter updates, improving…

Machine Learning · Computer Science 2025-10-08 Zichong Li , Liming Liu , Chen Liang , Weizhu Chen , Tuo Zhao

Muon has recently emerged as a strong alternative to AdamW for training neural networks, with encouraging large-scale pretraining results and growing evidence that matrix-structured updates can be faster in practice. Yet Muon, and more…

Machine Learning · Computer Science 2026-05-19 Abdurakhmon Sadiev , Artavazd Maranjyan , Ivan Ilin , Peter Richtárik

Large Language Models (LLMs) have pushed the frontier of artificial intelligence but are comprised of hundreds of billions of parameters and operations. For faster inference latency, LLMs are deployed on multiple hardware accelerators…

Machine Learning · Computer Science 2026-01-07 Jan Hansen-Palmus , Michael Truong Le , Oliver Hausdörfer , Alok Verma

In Distributed optimization and Learning, and even more in the modern framework of federated learning, communication, which is slow and costly, is critical. We introduce LoCoDL, a communication-efficient algorithm that leverages the two…

Optimization and Control · Mathematics 2025-03-03 Laurent Condat , Artavazd Maranjyan , Peter Richtárik

The remarkable performance of large language models (LLMs) in various language tasks has attracted considerable attention. However, the ever-increasing size of these models presents growing challenges for deployment and inference.…

Computation and Language · Computer Science 2025-02-21 Jiayu Qin , Jianchao Tan , Kefeng Zhang , Xunliang Cai , Wei Wang

Large Reasoning Models (LRMs) achieve strong performance in mathematics, code generation, and task planning, but their reliance on long chains of verbose "thinking" tokens leads to high latency, redundancy, and incoherent reasoning paths.…

Artificial Intelligence · Computer Science 2025-12-01 Kumar Tanmay , Kriti Aggarwal , Paul Pu Liang , Subhabrata Mukherjee

With the rapid development of natural language processing technology, large-scale language models (LLM) have achieved remarkable results in a variety of tasks. However, how to effectively train these huge models and improve their…

Artificial Intelligence · Computer Science 2024-12-09 Jiajing Chen , Bingying Liu , Xiaoxuan Liao , Jia Gao , Hongye Zheng , Yue Li

Distributed optimization algorithms are essential for training machine learning models on very large-scale datasets. However, they often suffer from communication bottlenecks. Confronting this issue, a communication-efficient primal-dual…

Optimization and Control · Mathematics 2017-11-16 Chenxin Ma , Martin Jaggi , Frank E. Curtis , Nathan Srebro , Martin Takáč

Lattice calculations of the hadronic contributions to the muon anomalous magnetic moment are numerically highly demanding due to the necessity of reaching total errors at the sub-percent level. Noise-reduction techniques such as low-mode…

High Energy Physics - Lattice · Physics 2025-02-17 Thomas Blum , Alessandro Conigli , Lukas Geyer , Simon Kuberski , Alexander Segner , Hartmut Wittig

Decentralized optimization and communication compression have exhibited their great potential in accelerating distributed machine learning by mitigating the communication bottleneck in practice. While existing decentralized algorithms with…

Machine Learning · Computer Science 2021-08-13 Yao Li , Xiaorui Liu , Jiliang Tang , Ming Yan , Kun Yuan

Despite their high computation and communication costs, Newton-type methods remain an appealing option for distributed training due to their robustness against ill-conditioned convex problems. In this work, we study ommunication compression…

Machine Learning · Computer Science 2022-06-09 Rustem Islamov , Xun Qian , Slavomír Hanzely , Mher Safaryan , Peter Richtárik

To address data locality and privacy restrictions, Federated Learning (FL) has recently been adopted to fine-tune large language models (LLMs), enabling improved performance on various downstream tasks without requiring aggregated data.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-11 Han Liu , Ruoyao Wen , Srijith Nair , Jia Liu , Wenjing Lou , Chongjie Zhang , William Yeoh , Yevgeniy Vorobeychik , Ning Zhang

Generative adversarial networks (GANs) have gained increasing popularity in various computer vision applications, and recently start to be deployed to resource-constrained mobile devices. Similar to other deep models, state-of-the-art GANs…

Machine Learning · Computer Science 2020-08-26 Haotao Wang , Shupeng Gui , Haichuan Yang , Ji Liu , Zhangyang Wang
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