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We investigate fast and communication-efficient algorithms for the classic problem of minimizing a sum of strongly convex and smooth functions that are distributed among $n$ different nodes, which can communicate using a limited number of…

最优化与控制 · 数学 2021-06-21 Foivos Alimisis , Peter Davies , Dan Alistarh

Multi-task learning aims to boost the generalization performance of multiple related tasks simultaneously by leveraging information contained in those tasks. In this paper, we propose a multi-task learning framework, where we utilize prior…

机器学习 · 计算机科学 2023-01-05 Mengyuan Zhang , Kai Liu

This paper develops algorithms for decentralized machine learning over a network, where data are distributed, computation is localized, and communication is restricted between neighbors. A line of recent research in this area focuses on…

最优化与控制 · 数学 2020-08-06 Yanli Liu , Yuejiao Sun , Wotao Yin

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

最优化与控制 · 数学 2021-02-12 Shuubham Ojha , Ketan Rajawat

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

最优化与控制 · 数学 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

We study the fundamental limits to communication-efficient distributed methods for convex learning and optimization, under different assumptions on the information available to individual machines, and the types of functions considered. We…

机器学习 · 计算机科学 2015-10-29 Yossi Arjevani , Ohad Shamir

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…

最优化与控制 · 数学 2015-01-05 Yuchen Zhang , Lin Xiao

Communication efficiency and robustness are two major issues in modern distributed learning framework. This is due to the practical situations where some computing nodes may have limited communication power or may behave adversarial…

机器学习 · 统计学 2021-03-02 Xingcai Zhou , Le Chang , Pengfei Xu , Shaogao Lv

Decentralized optimization and communication compression have exhibited their great potential in accelerating distributed machine learning by mitigating the communication bottleneck in practice. While existing decentralized algorithms with…

机器学习 · 计算机科学 2021-08-13 Yao Li , Xiaorui Liu , Jiliang Tang , Ming Yan , Kun Yuan

Due to the high communication cost in distributed and federated learning, methods relying on compressed communication are becoming increasingly popular. Besides, the best theoretically and practically performing gradient-type methods…

机器学习 · 计算机科学 2021-11-09 Zhize Li , Peter Richtárik

We present a very simple and fast algorithm for the numerical solution of viscoplastic flow problems without prior regularisation. Compared to the widespread alternating direction method of multipliers (ADMM / ALG2), the new method features…

数值分析 · 数学 2016-09-27 Timm Treskatis , Miguel A. Moyers-Gonzalez , Chris J. Price

This paper proposes a new backtracking strategy based on the FISTA accelerated algorithm for multiobjective optimization problems. The strategy focuses on solving the problem of Lipschitz constant being unknown. It allows estimate parameter…

最优化与控制 · 数学 2024-12-31 Chengzhi Huang , Jian Chen , Liping Tang

Inverse problems are essential to imaging applications. In this paper, we propose a model-based deep learning network, named FISTA-Net, by combining the merits of interpretability and generality of the model-based Fast Iterative…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Jinxi Xiang , Yonggui Dong , Yunjie Yang

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

When scaling distributed training, the communication overhead is often the bottleneck. In this paper, we propose a novel SGD variant with reduced communication and adaptive learning rates. We prove the convergence of the proposed algorithm…

机器学习 · 计算机科学 2020-12-08 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta , Haibin Lin

It is well-established that many iterative sparse reconstruction algorithms can be unrolled to yield a learnable neural network for improved empirical performance. A prime example is learned ISTA (LISTA) where weights, step sizes and…

机器学习 · 计算机科学 2020-10-06 Freya Behrens , Jonathan Sauder , Peter Jung

We develop and analyze stochastic variants of ISTA and a full backtracking FISTA algorithms [Beck and Teboulle, 2009, Scheinberg et al., 2014] for composite optimization without the assumption that stochastic gradient is an unbiased…

最优化与控制 · 数学 2025-02-14 Lam M. Nguyen , Katya Scheinberg , Trang H. Tran

The idea of unfolding iterative algorithms as deep neural networks has been widely applied in solving sparse coding problems, providing both solid theoretical analysis in convergence rate and superior empirical performance. However, for…

机器学习 · 计算机科学 2020-10-27 Yuhai Song , Zhong Cao , Kailun Wu , Ziang Yan , Changshui Zhang

In this paper, we study communication efficient distributed algorithms for distributionally robust federated learning via periodic averaging with adaptive sampling. In contrast to standard empirical risk minimization, due to the minimax…

机器学习 · 计算机科学 2021-02-26 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

In federated learning, communication cost is often a critical bottleneck to scale up distributed optimization algorithms to collaboratively learn a model from millions of devices with potentially unreliable or limited communication and…

机器学习 · 计算机科学 2020-11-24 Farzin Haddadpour , Mohammad Mahdi Kamani , Aryan Mokhtari , Mehrdad Mahdavi