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The emergence of big data has caused a dramatic shift in the operating regime for optimization algorithms. The performance bottleneck, which used to be computations, is now often communications. Several gradient compression techniques have…

Signal Processing · Electrical Eng. & Systems 2020-06-19 Sarit Khirirat , Sindri Magnússon , Mikael Johansson

Distributed stochastic gradient descent (SGD) with gradient compression has become a popular communication-efficient solution for accelerating distributed learning. One commonly used method for gradient compression is Top-K sparsification,…

Machine Learning · Computer Science 2023-09-12 Mengzhe Ruan , Guangfeng Yan , Yuanzhang Xiao , Linqi Song , Weitao Xu

We present SKA-SGD (Streaming Krylov-Accelerated Stochastic Gradient Descent), a novel optimization approach that accelerates convergence for ill-conditioned problems by projecting stochastic gradients onto a low-dimensional Krylov…

Numerical Analysis · Mathematics 2025-05-13 Stephen Thomas

In this paper, we consider controlled linear dynamical systems in which the controller has only access to a compressed version of the system state. The technical problem we investigate is that of allocating compression resources over time…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Li Wang , Chao Zhang , Samson Lasaulce , Lina Bariah , Merouane Debbah

In recent years, the paradigm of cloud computing has emerged as an architecture for computing that makes use of distributed (networked) computing resources. In this paper, we consider a distributed computing algorithmic scheme for…

Optimization and Control · Mathematics 2017-09-22 Shi Pu , Alfredo Garcia

Bayesian filtering deals with computing the posterior distribution of the state of a stochastic dynamic system given noisy observations. In this paper, motivated by applications in counter-adversarial systems, we consider the following…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

Machine Learning · Computer Science 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

Machine Learning · Statistics 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

Recently, researchers proposed various low-precision gradient compression, for efficient communication in large-scale distributed optimization. Based on these work, we try to reduce the communication complexity from a new direction. We…

Machine Learning · Computer Science 2019-01-25 Jianqiao Wangni , Ke Li , Jianbo Shi , Jitendra Malik

This paper considers the problem of randomized influence maximization over a Markovian graph process: given a fixed set of nodes whose connectivity graph is evolving as a Markov chain, estimate the probability distribution (over this fixed…

Social and Information Networks · Computer Science 2017-11-10 Buddhika Nettasinghe , Vikram Krishnamurthy

Recent advances in convolutional neural networks(CNNs) usually come with the expense of excessive computational overhead and memory footprint. Network compression aims to alleviate this issue by training compact models with comparable…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Xin-Yu Zhang , Kai Zhao , Taihong Xiao , Ming-Ming Cheng , Ming-Hsuan Yang

We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

Optimization and Control · Mathematics 2015-01-05 Yuchen Zhang , Lin Xiao

In distributed optimization, the communication of model updates can be a performance bottleneck. Consequently, gradient compression has been proposed as a means of increasing optimization throughput. In general, due to information loss,…

Optimization and Control · Mathematics 2025-07-17 Thomas Flynn , Patrick Johnstone , Shinjae Yoo

Stochastic gradient MCMC methods, such as stochastic gradient Langevin dynamics (SGLD), employ fast but noisy gradient estimates to enable large-scale posterior sampling. Although we can easily extend SGLD to distributed settings, it…

Machine Learning · Statistics 2021-06-16 Khaoula El Mekkaoui , Diego Mesquita , Paul Blomstedt , Samuel Kaski

This paper considers decentralized optimization with application to machine learning on graphs. The growing size of neural network (NN) models has motivated prior works on decentralized stochastic gradient algorithms to incorporate…

Optimization and Control · Mathematics 2021-10-12 Arjun Ashok Rao , Hoi-To Wai

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

In this paper, a communication-efficient multi-processor compressed sensing framework based on the approximate message passing algorithm is proposed. We perform lossy compression on the data being communicated between processors, resulting…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Puxiao Han , Junan Zhu , Ruixin Niu , Dror Baron

In this paper, we introduce an accelerated distributed stochastic gradient method with momentum for solving the distributed optimization problem, where a group of $n$ agents collaboratively minimize the average of the local objective…

Optimization and Control · Mathematics 2025-03-27 Kun Huang , Shi Pu , Angelia Nedić

We develop a novel class of MCMC algorithms based on a stochastized Nesterov scheme. With an appropriate addition of noise, the result is a time-inhomogeneous underdamped Langevin equation, which we prove emits a specified target…

Computational Engineering, Finance, and Science · Computer Science 2023-11-29 Duy H. Thai , Alexander L. Young , David B. Dunson
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