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This paper considers decentralized optimization of convex functions with mixed affine equality constraints involving both local and global variables. Constraints on global variables may vary across different nodes in the network, while…

Optimization and Control · Mathematics 2026-02-05 Demyan Yarmoshik , Nhat Trung Nguyen , Alexander Rogozin , Alexander Gasnikov

Decentralized learning has recently been attracting increasing attention for its applications in parallel computation and privacy preservation. Many recent studies stated that the underlying network topology with a faster consensus rate…

Machine Learning · Computer Science 2023-10-17 Yuki Takezawa , Ryoma Sato , Han Bao , Kenta Niwa , Makoto Yamada

The panoptic segmentation task requires a unified result from semantic and instance segmentation outputs that may contain overlaps. However, current studies widely ignore modeling overlaps. In this study, we aim to model overlap relations…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Yibo Yang , Hongyang Li , Xia Li , Qijie Zhao , Jianlong Wu , Zhouchen Lin

Expander decompositions of graphs have significantly advanced the understanding of many classical graph problems and led to numerous fundamental theoretical results. However, their adoption in practice has been hindered due to their…

Data Structures and Algorithms · Computer Science 2026-04-27 Kathrin Hanauer , Monika Henzinger , Robin Münk , Harald Räcke , Maximilian Vötsch

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

Deep graph embedding is an important approach for community discovery. Deep graph neural network with self-supervised mechanism can obtain the low-dimensional embedding vectors of nodes from unlabeled and unstructured graph data. The…

Social and Information Networks · Computer Science 2021-02-09 Shuliang Xu , Shenglan Liu , Lin Feng

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

Optimization and Control · Mathematics 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

In this research, we propose a deep learning based approach for speeding up the topology optimization methods. The problem we seek to solve is the layout problem. The main novelty of this work is to state the problem as an image…

Machine Learning · Computer Science 2017-09-28 Ivan Sosnovik , Ivan Oseledets

Network analysis has played a key role in knowledge discovery and data mining. In many real-world applications in recent years, we are interested in mining multilayer networks, where we have a number of edge sets called layers, which encode…

Social and Information Networks · Computer Science 2022-11-08 Yasushi Kawase , Atsushi Miyauchi , Hanna Sumita

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

Optimization and Control · Mathematics 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

We analyze the convergence of decentralized consensus algorithm with delayed gradient information across the network. The nodes in the network privately hold parts of the objective function and collaboratively solve for the consensus…

Optimization and Control · Mathematics 2018-01-17 Benjamin Sirb , Xiaojing Ye

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

Optimization and Control · Mathematics 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

In this paper, we investigate the decentralized statistical inference problem, where a network of agents cooperatively recover a (structured) vector from private noisy samples without centralized coordination. Existing optimization-based…

Machine Learning · Computer Science 2021-04-06 He Wang , Yifei Shen , Ziyuan Wang , Dongsheng Li , Jun Zhang , Khaled B. Letaief , Jie Lu

In this letter, we study distributed optimization, where a network of agents, abstracted as a directed graph, collaborates to minimize the average of locally-known convex functions. Most of the existing approaches over directed graphs are…

Optimization and Control · Mathematics 2018-06-08 Ran Xin , Usman A. Khan

When the underlying physical network layer in optimal network flow problems is a large graph, the associated optimization problem has a large set of decision variables. In this paper, we discuss how the cycle basis from graph theory can be…

Systems and Control · Computer Science 2017-06-06 Reza Asadi , Solmaz S. Kia

Distributed processing of large-scale graph data has many practical applications and has been widely studied. In recent years, a lot of distributed graph processing frameworks and algorithms have been proposed. While many efforts have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 Lingkai Meng , Yu Shao , Long Yuan , Longbin Lai , Peng Cheng , Xue Li , Wenyuan Yu , Wenjie Zhang , Xuemin Lin , Jingren Zhou

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

Optimization and Control · Mathematics 2018-09-05 Gesualdo Scutari , Ying Sun

Distributed optimization is an important direction of research in modern optimization theory. Its applications include large scale machine learning, distributed signal processing and many others. The paper studies decentralized min-max…

Optimization and Control · Mathematics 2023-09-08 Nhat Trung Nguyen , Alexander Rogozin , Dmitry Metelev , Alexander Gasnikov

We initiate the study of deterministic distributed graph algorithms with predictions in synchronous message passing systems. The process at each node in the graph is given a prediction, which is some extra information about the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Joan Boyar , Faith Ellen , Kim S. Larsen