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In this work, we consider to improve the model estimation efficiency by aggregating the neighbors' information as well as identify the subgroup membership for each node in the network. A tree-based $l_1$ penalty is proposed to save the…

Machine Learning · Statistics 2019-05-29 Xin Zhang , Jia Liu , Zhengyuan Zhu

In this paper, we propose Distributed Mirror Descent (DMD) algorithm for constrained convex optimization problems on a (strongly-)connected multi-agent network. We assume that each agent has a private objective function and a constraint…

Optimization and Control · Mathematics 2015-04-28 Chenguang Xi , Qiong Wu , Usman A. Khan

This paper presents a novel approach to enhance Model Predictive Control (MPC) for legged robots through Distributed Optimization. Our method focuses on decomposing the robot dynamics into smaller, parallelizable subsystems, and utilizing…

Robotics · Computer Science 2025-01-30 Lorenzo Amatucci , Giulio Turrisi , Angelo Bratta , Victor Barasuol , Claudio Semini

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

Optimization and Control · Mathematics 2015-06-18 Zaid J. Towfic , Ali H. Sayed

We propose a novel decomposition framework for the distributed optimization of Difference Convex (DC)-type nonseparable sum-utility functions subject to coupling convex constraints. A major contribution of the paper is to develop for the…

Information Theory · Computer Science 2013-09-23 Alberth Alvarado , Gesualdo Scutari , Jong-Shi Pang

Distributed optimization has attracted lots of attention in the operation of power systems in recent years, where a large area is decomposed into smaller control regions each solving a local optimization problem with periodic information…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Junyao Guo , Gabriela Hug , Ozan Tonguz

We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

Optimization and Control · Mathematics 2020-10-06 Adel Aghajan , Behrouz Touri

Within the realm of industrial technology, optimization methods play a pivotal role and are extensively applied across various sectors, including transportation engineering, robotics, and machine learning. With the surge in data volumes,…

Optimization and Control · Mathematics 2024-04-25 Han Long

The stochastic compositional minimax problem has attracted a surge of attention in recent years since it covers many emerging machine learning models. Meanwhile, due to the emergence of distributed data, optimizing this kind of problem…

Machine Learning · Computer Science 2023-08-02 Hongchang Gao

We consider the problem of solving a large-scale system of linear equations in a distributed or federated manner by a taskmaster and a set of machines, each possessing a subset of the equations. We provide a comprehensive comparison of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Boris Velasevic , Rohit Parasnis , Christopher G. Brinton , Navid Azizan

In this two-part work, we propose an algorithmic framework for solving non-convex problems whose objective function is the sum of a number of smooth component functions plus a convex (possibly non-smooth) or/and smooth (possibly non-convex)…

Optimization and Control · Mathematics 2019-07-24 Sandeep Kumar , Ketan Rajawat , Daniel P. Palomar

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

Optimization and Control · Mathematics 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

This paper studies distributed convex optimization with both affine equality and nonlinear inequality couplings through the duality analysis. We first formulate the dual of the coupling-constraint problem and reformulate it as a consensus…

Optimization and Control · Mathematics 2025-12-05 Chenyang Qiu , Yangyang Qian , Zongli Lin , Yacov A. Shamash

We study a continuous-time primal-dual algorithm for distributed optimization with nonconvex local cost functions over weight-unbalanced digraphs, and analyze its performance from a dissipativity-based perspective. We first reformulate the…

Optimization and Control · Mathematics 2026-02-10 Weijian Li , Panos J. Antsaklis , Hai Lin

In this work, we study a generic network cost minimization problem, in which every node has a local decision vector to determine. Each node incurs a cost depending on its decision vector and each link also incurs a cost depending on the…

Optimization and Control · Mathematics 2017-02-27 Xuanyu Cao , K. J. Ray Liu

This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

Machine Learning · Computer Science 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

Optimization and Control · Mathematics 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

Various distributed optimization methods have been developed for solving problems which have simple local constraint sets and whose objective function is the sum of local cost functions of distributed agents in a network. Motivated by…

Systems and Control · Computer Science 2016-11-17 Tsung-Hui Chang , Angelia Nedić , Anna Scaglione

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

Optimization and Control · Mathematics 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

Sparse covariance matrices play crucial roles by encoding the interdependencies between variables in numerous fields such as genetics and neuroscience. Despite substantial studies on sparse covariance matrices, existing methods face several…

Methodology · Statistics 2026-03-03 Rakheon Kim , Irina Gaynanova
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