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Distributed optimization and learning algorithms are designed to operate over large scale networks enabling processing of vast amounts of data effectively and efficiently. One of the main challenges for ensuring a smooth learning process in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Apostolos I. Rikos , Nicola Bastianello , Themistoklis Charalambous , Karl H. Johansson

With the rapid increase of big data, distributed Machine Learning (ML) has been widely applied in training large-scale models. Stochastic Gradient Descent (SGD) is arguably the workhorse algorithm of ML. Distributed ML models trained by SGD…

Machine Learning · Computer Science 2021-12-09 Keyu Yang , Lu Chen , Zhihao Zeng , Yunjun Gao

Training deep neural networks (DNNs) used in modern machine learning is computationally expensive. Machine learning scientists, therefore, rely on stochastic first-order methods for training, coupled with significant hand-tuning, to obtain…

Machine Learning · Computer Science 2023-07-24 Eric Silk , Swarnita Chakraborty , Nairanjana Dasgupta , Anand D. Sarwate , Andrew Lumsdaine , Tony Chiang

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

Machine Learning · Computer Science 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

When training deep neural networks, it is typically assumed that the training examples are uniformly difficult to learn. Or, to restate, it is assumed that the training error will be uniformly distributed across the training examples. Based…

Machine Learning · Computer Science 2015-10-09 Andrew J. R. Simpson

We consider distributed learning scenarios where M machines interact with a parameter server along several communication rounds in order to minimize a joint objective function. Focusing on the heterogeneous case, where different machines…

Machine Learning · Computer Science 2025-01-22 Tehila Dahan , Kfir Y. Levy

Distributed methods are essential for handling machine learning pipelines comprising large-scale models and datasets. However, their benefits often come at the cost of increased communication overhead between the central server and agents,…

Machine Learning · Computer Science 2025-03-03 Enea Monzio Compagnoni , Rustem Islamov , Frank Norbert Proske , Aurelien Lucchi

SGD with momentum is one of the key components for improving the performance of neural networks. For decentralized learning, a straightforward approach using momentum is Distributed SGD (DSGD) with momentum (DSGDm). However, DSGDm performs…

Machine Learning · Computer Science 2023-09-26 Yuki Takezawa , Han Bao , Kenta Niwa , Ryoma Sato , Makoto Yamada

Due to its efficiency and ease to implement, stochastic gradient descent (SGD) has been widely used in machine learning. In particular, SGD is one of the most popular optimization methods for distributed learning. Recently, quantized SGD…

Machine Learning · Computer Science 2019-01-11 Shen-Yi Zhao , Hao Gao , Wu-Jun Li

Momentum has become a crucial component in deep learning optimizers, necessitating a comprehensive understanding of when and why it accelerates stochastic gradient descent (SGD). To address the question of ''when'', we establish a…

Machine Learning · Computer Science 2023-06-16 Jingwen Fu , Bohan Wang , Huishuai Zhang , Zhizheng Zhang , Wei Chen , Nanning Zheng

We study how to support elasticity, i.e., the ability to dynamically adjust the parallelism (number of GPUs), for deep neural network (DNN) training. Elasticity can benefit multi-tenant GPU cluster management in many ways, e.g., achieving…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Yidi Wu , Kaihao Ma , Xiao Yan , Zhi Liu , Zhenkun Cai , Yuzhen Huang , James Cheng , Han Yuan , Fan Yu

To train deep learning models faster, distributed training on multiple GPUs is the very popular scheme in recent years. However, the communication bandwidth is still a major bottleneck of training performance. To improve overall training…

Machine Learning · Computer Science 2022-09-20 Daegun Yoon , Sangyoon Oh

In this paper, we propose to solve a regularized distributionally robust learning problem in the decentralized setting, taking into account the data distribution shift. By adding a Kullback-Liebler regularization function to the robust…

Machine Learning · Computer Science 2022-09-13 Chaouki Ben Issaid , Anis Elgabli , Mehdi Bennis

We propose a new stochastic optimization framework for empirical risk minimization problems such as those that arise in machine learning. The traditional approaches, such as (mini-batch) stochastic gradient descent (SGD), utilize an…

Machine Learning · Statistics 2020-02-04 Kenji Kawaguchi , Haihao Lu

Serving deep neural networks in latency critical interactive settings often requires GPU acceleration. However, the small batch sizes typical in online inference results in poor GPU utilization, a potential performance gap which GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-03 Paras Jain , Xiangxi Mo , Ajay Jain , Harikaran Subbaraj , Rehan Sohail Durrani , Alexey Tumanov , Joseph Gonzalez , Ion Stoica

As the size of models and datasets grows, it has become increasingly common to train models in parallel. However, existing distributed stochastic gradient descent (SGD) algorithms suffer from insufficient utilization of computational…

Machine Learning · Computer Science 2023-08-30 Xin Zhou , Ling Chen , Houming Wu

We consider learning from data of variable quality that may be obtained from different heterogeneous sources. Addressing learning from heterogeneous data in its full generality is a challenging problem. In this paper, we adopt instead a…

Machine Learning · Computer Science 2014-12-19 Shuang Song , Kamalika Chaudhuri , Anand D. Sarwate

The plain stochastic gradient descent and momentum stochastic gradient descent have extremely wide applications in deep learning due to their simple settings and low computational complexity. The momentum stochastic gradient descent uses…

Machine Learning · Computer Science 2021-06-15 Kun Zeng , Jinlan Liu , Zhixia Jiang , Dongpo Xu

Deep neural networks are typically trained by uniformly sampling large datasets across epochs, despite evidence that not all samples contribute equally throughout learning. Recent work shows that progressively reducing the amount of…

Machine Learning · Computer Science 2026-04-15 Amar Gahir , Varshil Patel , Shreyank N Gowda

Recent work suggests that (stochastic) gradient descent self-organizes near an instability boundary, shaping both optimization and the solutions found. Momentum and mini-batch gradients are widely used in practical deep learning…

Machine Learning · Computer Science 2026-04-16 Arseniy Andreyev , Advikar Ananthkumar , Marc Walden , Tomaso Poggio , Pierfrancesco Beneventano
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