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Linear consensus iterations guarantee asymptotic convergence, thereby, limiting their applicability in applications where consensus value needs to be used in real time to perform a system level task. It also leads to wastage of power and…

Optimization and Control · Mathematics 2017-06-22 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Vikas Yadav , Murti Salapaka

This paper proposes a privacy-preserving algorithm to solve the average consensus problem based on Shamir's secret sharing scheme, in which a network of agents reach an agreement on their states without exposing their individual state until…

Cryptography and Security · Computer Science 2020-11-20 Silun Zhang , Thomas Ohlson Timoudas , Munther Dahleh

This paper presents a communication efficient distributed algorithm, $\mathcal{CIRFE}$ of the \emph{consensus}+\emph{innovations} type, to estimate a high-dimensional parameter in a multi-agent network, in which each agent is interested in…

Optimization and Control · Mathematics 2018-10-17 Anit Kumar Sahu , Dusan Jakovetic , Soummya Kar

In this paper we analyze the use of Chebyshev polynomials in distributed consensus applications. We study the properties of these polynomials to propose a distributed algorithm that reaches the consensus in a fast way. The algorithm is…

Systems and Control · Computer Science 2012-06-07 Eduardo Montijano , Juan I. Montijano , Carlos Sagues

Consider a network whose nodes have some initial values, and it is desired to design an algorithm that builds on neighbor to neighbor interactions with the ultimate goal of convergence to the average of all initial node values or to some…

Optimization and Control · Mathematics 2014-09-16 Mahmoud El Chamie , Ji Liu , Tamer Başar

This paper studies the resilient distributed recovery of large fields under measurement attacks, by a team of agents, where each measures a small subset of the components of a large spatially distributed field. An adversary corrupts some of…

Optimization and Control · Mathematics 2019-10-22 Yuan Chen , Soummya Kar , José M. F. Moura

Consensus problem of high-order integral multi-agent systems under switching directed topology is considered in this study. Depending on whether the agent's full state is available or not, two distributed protocols are proposed to ensure…

Systems and Control · Computer Science 2013-04-16 Long Cheng , Zeng-Guang Hou , Min Tan

The consensus problem -- achieving agreement among a network of agents -- is a central theme in both theory and applications. Recently, this problem has been extended from Euclidean spaces to the space of probability measures, where the…

Optimization and Control · Mathematics 2025-10-01 Pilgyu Jung , Yoon Mo Jung

We consider a stochastic convex optimization problem that requires minimizing a sum of misspecified agentspecific expectation-valued convex functions over the intersection of a collection of agent-specific convex sets. This misspecification…

Optimization and Control · Mathematics 2015-09-22 Aswin Kannan , Angelia Nedich , Uday V. Shanbhag

Consider a set of agents collaboratively solving a distributed convex optimization problem, asynchronously, under stringent communication constraints. In such situations, when an agent is activated and is allowed to communicate with only…

Optimization and Control · Mathematics 2022-10-28 Ashwin Verma , Marcos M. Vasconcelos , Urbashi Mitra , Behrouz Touri

An autonomous and resilient controller is proposed for leader-follower multi-agent systems under uncertainties and cyber-physical attacks. The leader is assumed non-autonomous with a nonzero control input, which allows changing the team…

Multiagent Systems · Computer Science 2018-04-10 Rohollah Moghadam , Hamidreza Modares

This paper proposes matrix-scaled consensus algorithm, which generalizes the scaled consensus algorithm in \cite{Roy2015scaled}. In (scalar) scaled consensus algorithms, the agents' states do not converge to a common value, but to different…

Optimization and Control · Mathematics 2022-08-16 Minh Hoang Trinh , Dung Van Vu , Quoc Van Tran , Hyo-Sung Ahn

Empirical risk minimization (ERM) is a cornerstone of modern machine learning (ML), supported by advances in optimization theory that ensure efficient solutions with provable algorithmic and statistical learning rates. Privacy, memory,…

Machine Learning · Computer Science 2026-04-07 Cheng Fang , Rishabh Dixit , Waheed U. Bajwa , Mert Gurbuzbalaban

Average consensus is fundamental for distributed systems since it underpins key functionalities of such systems ranging from distributed information fusion, decision-making, to decentralized control. In order to reach an agreement, existing…

Systems and Control · Computer Science 2017-09-21 Minghao Ruan , Muaz Ahmad , Yongqiang Wang

We study the average consensus problem of multi-agent systems for general network topologies with unidirectional information flow. We propose two (linear) distributed algorithms, deterministic and gossip, respectively for the cases where…

Systems and Control · Computer Science 2012-03-13 Kai Cai , Hideaki Ishii

We study robust mean estimation in an online and distributed scenario in the presence of adversarial data attacks. At each time step, each agent in a network receives a potentially corrupted data point, where the data points were originally…

Cryptography and Security · Computer Science 2022-09-21 Tong Yao , Shreyas Sundaram

We consider the problem of achieving average consensus among multiple agents, where the inter-agent communication network is depicted by a graph. We consider the discrete-time consensus protocol where each agent updates its value as a…

Systems and Control · Electrical Eng. & Systems 2021-11-30 Kiran Rokade , Rachel Kalpana Kalaimani

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

Optimization and Control · Mathematics 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

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