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To increase the training speed of distributed learning, recent years have witnessed a significant amount of interest in developing both synchronous and asynchronous distributed stochastic variance-reduced optimization methods. However, all…

Machine Learning · Computer Science 2022-08-30 Zhuqing Liu , Xin Zhang , Jia Liu

This work proposes an efficient parallel algorithm for non-monotone submodular maximization under a knapsack constraint problem over the ground set of size $n$. Our algorithm improves the best approximation factor of the existing parallel…

Artificial Intelligence · Computer Science 2024-09-09 Tan D. Tran , Canh V. Pham , Dung T. K. Ha , Phuong N. H. Pham

Parallelism is a ubiquitous method for accelerating machine learning algorithms. However, theoretical analysis of parallel learning is usually done in an algorithm- and protocol-specific setting, giving little insight about how changes in…

Machine Learning · Computer Science 2020-06-09 Yucheng Lu , Jack Nash , Christopher De Sa

Over the past ten years, driven by large scale optimisation problems arising from machine learning, the development of stochastic optimisation methods have witnessed a tremendous growth. However, despite their popularity, the theoretical…

Optimization and Control · Mathematics 2018-11-05 Clarice Poon , Jingwei Liang , Carola-Bibiane Schönlieb

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

Networking and Internet Architecture · Computer Science 2017-07-19 Sinong Wang , Ness Shroff

Parallel p-bit Ising machines are a promising platform for fast and energy-efficient combinatorial optimization, but their scalability depends on update synchronization, hardware delay, and architectural cost. In this work, we establish a…

Emerging Technologies · Computer Science 2026-04-03 Naoya Onizawa , Takahiro Hanyu

We extend the Approximate-Proximal Point (aProx) family of model-based methods for solving stochastic convex optimization problems, including stochastic subgradient, proximal point, and bundle methods, to the minibatch and accelerated…

Optimization and Control · Mathematics 2021-01-08 Karan Chadha , Gary Cheng , John C. Duchi

This work addresses the instability in asynchronous data parallel optimization. It does so by introducing a novel distributed optimizer which is able to efficiently optimize a centralized model under communication constraints. The optimizer…

Machine Learning · Statistics 2017-10-09 Joeri Hermans , Gerasimos Spanakis , Rico Möckel

Based on SGD, previous works have proposed many algorithms that have improved convergence speed and generalization in stochastic optimization, such as SGDm, AdaGrad, Adam, etc. However, their convergence analysis under non-convex conditions…

Machine Learning · Computer Science 2024-02-05 Yichuan Deng , Zhao Song , Chiwun Yang

Augmented Lagrangian Methods (ALMs) are widely employed in solving constrained optimizations, and some efficient solvers are developed based on this framework. Under the quadratic growth assumption, it is known that the dual iterates and…

Optimization and Control · Mathematics 2024-10-31 Feng-Yi Liao , Lijun Ding , Yang Zheng

Graph Neural Networks (GNNs) have shown great superiority on non-Euclidean graph data, achieving ground-breaking performance on various graph-related tasks. As a practical solution to train GNN on large graphs with billions of nodes and…

Machine Learning · Computer Science 2024-09-24 Zeyu Zhu , Peisong Wang , Qinghao Hu , Gang Li , Xiaoyao Liang , Jian Cheng

Recent work has established an empirically successful framework for adapting learning rates for stochastic gradient descent (SGD). This effectively removes all needs for tuning, while automatically reducing learning rates over time on…

Machine Learning · Computer Science 2013-03-28 Tom Schaul , Yann LeCun

Computer vision applications constitute one of the key drivers for embedded multicore architectures. Although the number of available cores is increasing in new architectures, designing an application to maximize the utilization of the…

Computer Vision and Pattern Recognition · Computer Science 2015-02-27 Vítor Schwambach , Sébastien Cleyet-Merle , Alain Issard , Stéphane Mancini

In this paper, we develop a new parallel auxiliary grid algebraic multigrid (AMG) method to leverage the power of graphic processing units (GPUs). In the construction of the hierarchical coarse grid, we use a simple and fixed coarsening…

Numerical Analysis · Mathematics 2012-12-07 Lu Wang , Xiaozhe Hu , Jonathan Cohen , Jinchao Xu

Distributed training algorithms of deep neural networks show impressive convergence speedup properties on very large problems. However, they inherently suffer from communication related slowdowns and communication topology becomes a crucial…

Machine Learning · Computer Science 2022-03-25 Tomer Avidor , Nadav Tal Israel

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-03 Lev Kazakovtsev

Coarse-Grained Reconfigurable Arrays (CGRAs) are specialized accelerators commonly employed to boost performance in workloads with iterative structures. Existing research typically focuses on compiler or architecture optimizations aimed at…

Hardware Architecture · Computer Science 2025-08-28 Xiangfeng Liu , Zhe Jiang , Anzhen Zhu , Xiaomeng Han , Mingsong Lyu , Qingxu Deng , Nan Guan

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

Optimization and Control · Mathematics 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

Asynchronous and parallel implementation of standard reinforcement learning (RL) algorithms is a key enabler of the tremendous success of modern RL. Among many asynchronous RL algorithms, arguably the most popular and effective one is the…

Machine Learning · Computer Science 2023-08-02 Han Shen , Kaiqing Zhang , Mingyi Hong , Tianyi Chen

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear constraints. The objective function is the sum of a possibly…

Optimization and Control · Mathematics 2021-12-21 Jianchao Bai , Deren Han , Hao Sun , Hongchao Zhang
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