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We analyze performance of a class of time-delay first-order consensus networks from a graph topological perspective and present methods to improve it. The performance is measured by network's square of H-2 norm and it is shown that it is a…

Systems and Control · Computer Science 2018-10-22 Yaser Ghaedsharaf , Milad Siami , Christoforos Somarakis , Nader Motee

This paper considers distributed resource allocation and sum-preserving constrained optimization over lossy networks, where the links are unreliable and subject to packet drops. We define the conditions to ensure convergence under packet…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mohammadreza Doostmohammadian , Usman A. Khan , Alireza Aghasi , Themistoklis Charalambous

Consensus networks are usually understood as arithmetic mean driven dynamical averaging systems. In applications, however, network dynamics often describe inherently non-arithmetic and non-linear consensus processes. In this paper, we…

Dynamical Systems · Mathematics 2016-08-08 Herbert Mangesius , Dong Xue , Sandra Hirche

We consider a network topology design problem in which an initial undirected graph underlying the network is given and the objective is to select a set of edges to add to the graph to optimize the coherence of the resulting network. We show…

Optimization and Control · Mathematics 2014-11-19 Tyler Summers , Iman Shames , John Lygeros , Florian Dörfler

Addressing a complex real-world optimization problem is a challenging task. The chance-constrained knapsack problem with correlated uniform weights plays an important role in the case where dependent stochastic components are considered. We…

Data Structures and Algorithms · Computer Science 2021-02-12 Yue Xie , Aneta Neumann , Frank Neumann , Andrew M. Sutton

In this paper, the question of expected time to convergence is addressed for unbiased quantized consensus on undirected connected graphs, and some strong results are obtained. The paper first provides a tight expression for the expected…

Systems and Control · Computer Science 2016-11-18 Seyed Rasoul Etesami , Tamer Basar

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Calvin Newport , Peter Robinson

We consider several problems in the field of distributed optimization and hypothesis testing. We show how to obtain convergence times for these problems that scale linearly with the total number of nodes in the network by using a recent…

Optimization and Control · Mathematics 2017-05-24 Alex Olshevsky

The problem of achieving consensus in a network of connected systems arises in many science and engineering applications. In contrast to previous works, we focus on the system reactivity, i.e., the initial amplification of the norm of the…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Amirhossein Nazerian , David Phillips , Hernan A. Makse , Francesco Sorrentino

In this paper, we propose matrix-scaled consensus algorithms for linear dynamical agents interacting over an undirected network. Under the proposed algorithms, the state vectors of all agents to asymptotically agree up to some matrix…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Minh Hoang Trinh , Hoang Huy Vu , Nhat-Minh Le-Phan , Quyen Ngoc Nguyen

In this technical note, we introduce a novel approach to studying consensus of continuous-time nonlinear systems with varying topology based on Hilbert metric. We demonstrate that this metric offers significant flexibility in analyzing…

Optimization and Control · Mathematics 2025-05-19 Dongjun Wu

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Online bipartite matching is a fundamental problem in online algorithms. The goal is to match two sets of vertices to maximize the sum of the edge weights, where for one set of vertices, each vertex and its corresponding edge weights appear…

Data Structures and Algorithms · Computer Science 2024-02-13 Hang Hu , Zhao Song , Runzhou Tao , Zhaozhuo Xu , Junze Yin , Danyang Zhuo

We find large deviations rates for consensus-based distributed inference for directed networks. When the topology is deterministic, we establish the large deviations principle and find exactly the corresponding rate function, equal at all…

Information Theory · Computer Science 2016-06-29 Dragana Bajović , José M. F. Moura , João Xavier , Bruno Sinopoli

Consider the Maximum Weight Independent Set problem for rectangles: given a family of weighted axis-parallel rectangles in the plane, find a maximum-weight subset of non-overlapping rectangles. The problem is notoriously hard both in the…

Data Structures and Algorithms · Computer Science 2016-11-22 Michał Pilipczuk , Erik Jan van Leeuwen , Andreas Wiese

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

In this paper, we consider contention resolution algorithms that are augmented with predictions about the network. We begin by studying the natural setup in which the algorithm is provided a distribution defined over the possible network…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Seth Gilbert , Calvin Newport , Nitin Vaidya , Alex Weaver

In this article, we present a finite time stopping criterion for consensus algorithms in networks with dynamic communication topology. Recent results provide asymptotic convergence to the consensus algorithm. However, the asymptotic…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka

We investigate weighted settings of popular matching problems with matroid constraints. The concept of popularity was originally defined for matchings in bipartite graphs, where vertices have preferences over the incident edges. There are…

Computer Science and Game Theory · Computer Science 2024-07-16 Gergely Csáji , Tamás Király , Kenjiro Takazawa , Yu Yokoi
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