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One of the crucial issues in federated learning is how to develop efficient optimization algorithms. Most of the current ones require full device participation and/or impose strong assumptions for convergence. Different from the widely-used…

最优化与控制 · 数学 2023-09-26 Shenglong Zhou , Geoffrey Ye Li

Matrix completion has important applications in trajectory recovery and mobile social networks. However, sending raw data containing personal, sensitive information to cloud computing nodes may lead to privacy exposure issue.The…

密码学与安全 · 计算机科学 2024-05-10 Jiahao Guo , An-Bao Xu

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

机器学习 · 计算机科学 2019-10-11 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

密码学与安全 · 计算机科学 2018-10-09 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

机器学习 · 计算机科学 2020-05-19 Zonghao Huang , Yanmin Gong

In this work, we consider the distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology (directed graph or…

最优化与控制 · 数学 2021-10-07 Wei Jiang , Themistoklis Charalambous

Federated learning is a promising framework for learning over decentralized data spanning multiple regions. This approach avoids expensive central training data aggregation cost and can improve privacy because distributed sites do not have…

机器学习 · 计算机科学 2021-01-01 Beomyeol Jeon , S. M. Ferdous , Muntasir Raihan Rahman , Anwar Walid

Federated systems enable collaborative training on highly heterogeneous data through model personalization, which can be facilitated by employing multi-task learning algorithms. However, significant variation in device computing…

Alternating direction method of multiplier (ADMM) is a popular method used to design distributed versions of a machine learning algorithm, whereby local computations are performed on local data with the output exchanged among neighbors in…

机器学习 · 计算机科学 2018-06-07 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

The Alternating Direction Method of Multipliers (ADMM) has now days gained tremendous attentions for solving large-scale machine learning and signal processing problems due to the relative simplicity. However, the two-block structure of the…

最优化与控制 · 数学 2020-03-23 Mingxi Zhu , Kresimir Mihic , Yinyu Ye

This paper introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize $\sum_{i=1}^N f_i(x_i)$ subject to $\sum_{i=1}^N A_i x_i=c, x_i\in \mathcal{X}_i$. The…

最优化与控制 · 数学 2014-03-20 Wei Deng , Ming-Jun Lai , Zhimin Peng , Wotao Yin

We consider the problem of minimizing block-separable convex functions subject to linear constraints. While the Alternating Direction Method of Multipliers (ADMM) for two-block linear constraints has been intensively studied both…

最优化与控制 · 数学 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

机器学习 · 计算机科学 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

In this paper, we aim to provide a comprehensive analysis on the linear rate convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex composite optimization problems. Under a certain…

最优化与控制 · 数学 2015-08-11 Deren Han , Defeng Sun , Liwei Zhang

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

最优化与控制 · 数学 2026-02-27 Zhengjie Xiong , Yangyang Xu

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

最优化与控制 · 数学 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

The Alternating Direction Method of Multipliers (ADMM) has gained a lot of attention for solving large-scale and objective-separable constrained optimization. However, the two-block variable structure of the ADMM still limits the practical…

最优化与控制 · 数学 2020-03-24 Kresimir Mihic , Mingxi Zhu , Yinyu Ye

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

最优化与控制 · 数学 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

Differential privacy (DP) techniques can be applied to the federated learning model to statistically guarantee data privacy against inference attacks to communication among the learning agents. While ensuring strong data privacy, however,…

机器学习 · 计算机科学 2022-02-22 Minseok Ryu , Kibaek Kim
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