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The orthogonal group synchronization problem, which aims to recover a set of $d \times d$ orthogonal matrices from their pairwise noisy products, plays a fundamental role in signal processing, computer vision, and network analysis. In…

Optimization and Control · Mathematics 2026-03-17 Shuyang Ling

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

In this paper, a distributed convex optimization algorithm, termed \emph{distributed coordinate dual averaging} (DCDA) algorithm, is proposed. The DCDA algorithm addresses the scenario of a large distributed optimization problem with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-31 Milind Rao , Stefano Rini , Andrea Goldsmith

Recently, a wide range of memory-efficient LLM training algorithms have gained substantial popularity. These methods leverage the low-rank structure of gradients to project optimizer states into a subspace using projection matrix found by…

Machine Learning · Computer Science 2024-08-26 Kaizhao Liang , Bo Liu , Lizhang Chen , Qiang Liu

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

We study distributed algorithms for solving global optimization problems in which the objective function is the sum of local objective functions of agents and the constraint set is given by the intersection of local constraint sets of…

Optimization and Control · Mathematics 2015-03-14 Ilan Lobel , Asuman Ozdaglar , Diego Feijer

Planning based on long and short term time series forecasts is a common practice across many industries. In this context, temporal aggregation and reconciliation techniques have been useful in improving forecasts, reducing model…

Machine Learning · Computer Science 2022-01-31 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

As Large Language Models (LLMs) increasingly shape online content, removing targeted information from well-trained LLMs (also known as LLM unlearning) has become critical for web governance. A key challenge lies in sample-wise imbalance…

Machine Learning · Computer Science 2026-02-10 Pengyang Shao , Naixin Zhai , Lei Chen , Yonghui Yang , Fengbin Zhu , Xun Yang , Meng Wang

Reinforcement learning (RL) yields substantial improvements in large language models (LLMs) downstream task performance and alignment with human values. Surprisingly, such large gains result from updating only a small subnetwork comprising…

Machine Learning · Computer Science 2025-12-19 Sagnik Mukherjee , Lifan Yuan , Dilek Hakkani-Tur , Hao Peng

Large language models (LLMs) have shown impressive capabilities, but still struggle with complex reasoning tasks requiring multiple steps. While prompt-based methods like Chain-of-Thought (CoT) can improve LLM reasoning at inference time,…

Artificial Intelligence · Computer Science 2024-11-25 Haolin Chen , Yihao Feng , Zuxin Liu , Weiran Yao , Akshara Prabhakar , Shelby Heinecke , Ricky Ho , Phil Mui , Silvio Savarese , Caiming Xiong , Huan Wang

Low-rank optimization has emerged as a promising approach to enabling memory-efficient training of large language models (LLMs). Existing low-rank optimization methods typically project gradients onto a low-rank subspace, reducing the…

Machine Learning · Computer Science 2025-12-15 Haochen Zhang , Junze Yin , Guanchu Wang , Zirui Liu , Lin F. Yang , Tianyi Zhang , Anshumali Shrivastava , Vladimir Braverman

We consider distributed optimization over a $d$-dimensional space, where $K$ remote clients send coded gradient estimates over an {\em additive Gaussian Multiple Access Channel (MAC)} with noise variance $\sigma_z^2$. Furthermore, the…

Information Theory · Computer Science 2023-10-06 Shubham Jha

While large language models (LLMs) have achieved remarkable performance across a wide range of tasks, their massive scale incurs prohibitive computational and memory costs for pre-training from scratch. Recent studies have investigated the…

Machine Learning · Computer Science 2025-08-05 Jiaxi Li , Lu Yin , Li Shen , Jinjin Xu , Liwu Xu , Tianjin Huang , Wenwu Wang , Shiwei Liu , Xilu Wang

Although the advancements of pre-trained Large Language Models have significantly accelerated recent progress in NLP, their ever-increasing size poses significant challenges for conventional fine-tuning, especially in memory-intensive…

Computation and Language · Computer Science 2024-04-02 Chenxi Whitehouse , Fantine Huot , Jasmijn Bastings , Mostafa Dehghani , Chu-Cheng Lin , Mirella Lapata

Large pre-trained models are commonly adapted to downstream tasks using parameter-efficient fine-tuning methods such as Low-Rank Adaptation (LoRA), which injects small trainable low-rank matrices instead of updating all weights. While LoRA…

Machine Learning · Computer Science 2026-03-10 Nurbek Tastan , Stefanos Laskaridis , Martin Takac , Karthik Nandakumar , Samuel Horvath

Layer factorization has emerged as a widely used technique for training memory-efficient neural networks. However, layer factorization methods face several challenges, particularly a lack of robustness during the training process. To…

Numerical Analysis · Mathematics 2025-02-06 Jonas Kusch , Steffen Schotthöfer , Alexandra Walter

Following AI scaling trends, frontier models continue to grow in size and continue to be trained on larger datasets. Training these models requires huge investments in exascale computational resources, which has in turn driven developtment…

Machine Learning · Computer Science 2025-09-18 Hiroki Naganuma , Xinzhi Zhang , Man-Chung Yue , Ioannis Mitliagkas , Philipp A. Witte , Russell J. Hewett , Yin Tat Lee

While most current approaches rely on further training techniques, such as fine-tuning or reinforcement learning, to enhance model capacities, model merging stands out for its ability of improving models without requiring any additional…

Computation and Language · Computer Science 2025-05-26 Zehua Liu , Han Wu , Yuxuan Yao , Ruifeng She , Xiongwei Han , Tao Zhong , Mingxuan Yuan

The distributed training of foundation models, particularly large language models (LLMs), demands a high level of communication. Consequently, it is highly dependent on a centralized cluster with fast and reliable interconnects. Can we…

Machine Learning · Computer Science 2025-06-27 Ji Qi , WenPeng Zhu , Li Li , Ming Wu , YingJun Wu , Wu He , Xun Gao , Jason Zeng , Michael Heinrich

We present and analyze an approach for distributed stochastic optimization which is statistically optimal and achieves near-linear speedups (up to logarithmic factors). Our approach allows a communication-memory tradeoff, with either…

Machine Learning · Computer Science 2017-06-12 Jialei Wang , Weiran Wang , Nathan Srebro
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