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This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

最优化与控制 · 数学 2020-07-15 Jineng Ren , Jarvis Haupt

In decentralized optimization, $m$ agents form a network and only communicate with their neighbors, which gives advantages in data ownership, privacy, and scalability. At the same time, decentralized stochastic gradient descent…

最优化与控制 · 数学 2022-12-13 Haishan Ye , Xiangyu Chang

Distributed data-parallel algorithms aim to accelerate the training of deep neural networks by parallelizing the computation of large mini-batch gradient updates across multiple nodes. Approaches that synchronize nodes using exact…

机器学习 · 计算机科学 2020-04-23 Mahmoud Assran , Nicolas Loizou , Nicolas Ballas , Michael Rabbat

Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such as Hadoop running on a cluster of commodity machines, communication costs are…

机器学习 · 计算机科学 2015-03-18 Dhruv Mahajan , Nikunj Agrawal , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

The proximal gradient method is a standard approach for solving composite minimization problems in which the objective function is the sum of a continuously differentiable function and a lower semicontinuous, extended-valued function. The…

最优化与控制 · 数学 2025-05-02 Xiaoxi Jia , Kai Wang

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

最优化与控制 · 数学 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale

In this paper, we propose a probabilistic optimization method, named probabilistic incremental proximal gradient (PIPG) method, by developing a probabilistic interpretation of the incremental proximal gradient algorithm. We explicitly model…

最优化与控制 · 数学 2019-06-20 Ömer Deniz Akyildiz , Émilie Chouzenoux , Víctor Elvira , Joaquín Míguez

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

机器学习 · 计算机科学 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

We study the convergence rate of the proximal incremental aggregated gradient (PIAG) method for minimizing the sum of a large number of smooth component functions (where the sum is strongly convex) and a non-smooth convex function. At each…

最优化与控制 · 数学 2016-11-28 Nuri Denizcan Vanli , Mert Gurbuzbalaban , Asu Ozdaglar

A distribution matcher (DM) maps a binary input sequence into a block of nonuniformly distributed symbols. To facilitate the implementation of shaped signaling, fast DM solutions with high throughput and low serialism are required. We…

信号处理 · 电气工程与系统科学 2019-02-25 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons

Composite optimization offers a powerful modeling tool for a variety of applications and is often numerically solved by means of proximal gradient methods. In this paper, we consider fully nonconvex composite problems under only local…

最优化与控制 · 数学 2023-02-09 Alberto De Marchi , Andreas Themelis

Lipschitz continuity of the gradient mapping of a continuously differentiable function plays a crucial role in designing various optimization algorithms. However, many functions arising in practical applications such as low rank matrix…

最优化与控制 · 数学 2020-12-25 Mahesh Chandra Mukkamala , Jalal Fadili , Peter Ochs

Mining dense subgraphs where vertices connect closely with each other is a common task when analyzing graphs. A very popular notion in subgraph analysis is core decomposition. Recently, Esfahani et al. presented a probabilistic core…

机器学习 · 统计学 2023-03-29 Yang Guo , Xuekui Zhang , Fatemeh Esfahani , Venkatesh Srinivasan , Alex Thomo , Li Xing

The increasing size of deep learning models has made distributed training across multiple devices essential. However, current methods such as distributed data-parallel training suffer from large communication and synchronization overheads…

机器学习 · 计算机科学 2025-02-10 Cabrel Teguemne Fokam , Khaleelulla Khan Nazeer , Lukas König , David Kappel , Anand Subramoney

This paper presents distributed conjugate gradient algorithms for distributed parameter estimation and spectrum estimation over wireless sensor networks. In particular, distributed conventional conjugate gradient (CCG) and modified…

分布式、并行与集群计算 · 计算机科学 2016-01-19 R. C. de Lamare

We study distributed optimization algorithms for minimizing the average of \emph{heterogeneous} functions distributed across several machines with a focus on communication efficiency. In such settings, naively using the classical stochastic…

机器学习 · 计算机科学 2020-11-18 Ilqar Ramazanli , Han Nguyen , Hai Pham , Sashank J. Reddi , Barnabas Poczos

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

机器学习 · 计算机科学 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

Stochastic gradient descent (SGD) is a well known method for regression and classification tasks. However, it is an inherently sequential algorithm at each step, the processing of the current example depends on the parameters learned from…

机器学习 · 计算机科学 2017-05-24 Saeed Maleki , Madanlal Musuvathi , Todd Mytkowicz

This paper proposes a scheme to efficiently execute distributed learning tasks in an asynchronous manner while minimizing the gradient staleness on wireless edge nodes with heterogeneous computing and communication capacities. The approach…

分布式、并行与集群计算 · 计算机科学 2020-06-19 Umair Mohammad , Sameh Sorour

Decentralized optimization is a promising parallel computation paradigm for large-scale data analytics and machine learning problems defined over a network of nodes. This paper is concerned with decentralized non-convex composite problems…

最优化与控制 · 数学 2021-10-05 Ran Xin , Subhro Das , Usman A. Khan , Soummya Kar