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Decentralized optimization is a common paradigm used in distributed signal processing and sensing as well as privacy-preserving and large-scale machine learning. It is assumed that several computational entities locally hold objective…

Optimization and Control · Mathematics 2023-01-12 Alexander Rogozin , Demyan Yarmoshik , Ksenia Kopylova , Alexander Gasnikov

In this work, we study two fundamental graph optimization problems, minimum vertex cover (MVC) and maximum-cardinality matching (MCM), for intersection graphs of geometric objects, e.g., disks, rectangles, hypercubes, etc., in…

Computational Geometry · Computer Science 2024-02-15 Sujoy Bhore , Timothy M. Chan

Graph convolutional neural network provides good solutions for node classification and other tasks with non-Euclidean data. There are several graph convolutional models that attempt to develop deep networks but do not cause serious…

Machine Learning · Computer Science 2021-02-22 Jingyi Wang , Zhidong Deng

The Maximum Betweenness Centrality problem (MBC) can be defined as follows. Given a graph find a $k$-element node set $C$ that maximizes the probability of detecting communication between a pair of nodes $s$ and $t$ chosen uniformly at…

Data Structures and Algorithms · Computer Science 2010-08-23 Martin Fink , Joachim Spoerhase

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

This paper studies a sequential task offloading problem for a multiuser mobile edge computing (MEC) system. We consider a dynamic optimization approach, which embraces wireless channel fluctuations and random deep neural network (DNN) task…

Information Theory · Computer Science 2022-03-03 Feng Wang , Songfu Cai , Vincent K. N. Lau

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

Optimization and Control · Mathematics 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

In large-scale Internet of things networks, efficient medium access control (MAC) is critical due to the growing number of devices competing for limited communication resources. In this work, we consider a new challenge in which a set of…

Networking and Internet Architecture · Computer Science 2025-11-11 Lorenzo Mario Amorosa , Zhan Gao , Roberto Verdone , Petar Popovski , Deniz Gündüz

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

Optimization and Control · Mathematics 2024-07-16 Haishan Ye , Xiangyu Chang

We develop algorithms that find and track the optimal solution trajectory of time-varying convex optimization problems which consist of local and network-related objectives. The algorithms are derived from the prediction-correction…

Optimization and Control · Mathematics 2016-11-08 Andrea Simonetto , Alec Koppel , Aryan Mokhtari , Geert Leus , Alejandro Ribeiro

This paper proposes a traffic control scheme to alleviate traffic congestion in a network of interconnected signaled lanes/roads. The proposed scheme is emergency vehicle-centered, meaning that it provides an efficient and timely routing…

Optimization and Control · Mathematics 2022-04-13 Mehdi Hosseinzadeh , Bruno Sinopoli , Ilya Kolmanovsky , Sanjoy Baruah

In this paper, a framework is proposed to simplify solving the infinite horizon average cost problem for the weakly coupled multi-dimensional systems. Specifically, to address the computational complexity issue, we first introduce a virtual…

Information Theory · Computer Science 2016-06-27 Fan Zhang , Ying Cui , Vincent K. N. Lau , An Liu

In the last few years, graph convolutional networks (GCN) have become a popular research direction in the machine learning community to tackle NP-hard combinatorial optimization problems (COPs) defined on graphs. While the obtained results…

Machine Learning · Computer Science 2021-06-02 Elisabeth Gaar , Markus Sinnl

We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into…

Networking and Internet Architecture · Computer Science 2020-12-30 Eyal Gur , Shoham Sabach , Shimrit Shtern

The paper studies decentralized optimization over networks, where agents minimize a composite objective consisting of the sum of smooth convex functions--the agents' losses--and an additional nonsmooth convex extended value function. We…

Optimization and Control · Mathematics 2025-08-05 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari , Alexander Gasnikov

In this work we develop a fully decentralized, federated, and fast solution to the recently studied Low Rank Compressive Sensing (LRCS) problem: recover an nxq low-rank matrix from column-wise linear projections. An important application…

Data Structures and Algorithms · Computer Science 2021-12-28 Shana Moothedath , Namrata Vaswani

The classic lower bound of Kuhn, Moscibroda and Wattenhofer [JACM 2016] states that approximate maximum matching and approximate vertex cover (among other problems) in the LOCAL model require $\Omega(\min\{\sqrt{\frac{\log n}{\log\log n}},…

Data Structures and Algorithms · Computer Science 2026-05-14 Peter Davies-Peck

In order to better accommodate the dramatically increasing demand for data caching and computing services, storage and computation capabilities should be endowed to some of the intermediate nodes within the network. In this paper, we design…

Networking and Internet Architecture · Computer Science 2017-06-30 Yuchen Zhou , F. Richard Yu , Jian Chen , Yonghong Kuo

The paper presents an algorithm for minimum vertex cover problem, which is an NP-Complete problem. The algorithm computes a minimum vertex cover of each input simple graph. Tested by the attached MATLAB programs, Stage 1 of the algorithm is…

Discrete Mathematics · Computer Science 2016-10-30 Gang Hu

This paper surveys and unifies a number of recent contributions that have collectively developed a metric for decentralized wireless network analysis known as transmission capacity. Although it is notoriously difficult to derive general…

Information Theory · Computer Science 2016-11-17 Steven Weber , Jeffrey G. Andrews , Nihar Jindal