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This paper deals with the problem of designing a distributed fault detection and isolation algorithm for nonlinear large-scale systems that are subjected to multiple fault modes. To solve this problem, a network of communicating detection…

Systems and Control · Computer Science 2016-09-27 Elaheh Noursadeghi , Ioannis Raptis

Industrial anomaly detection is an important task within computer vision with a wide range of practical use cases. The small size of anomalous regions in many real-world datasets necessitates processing the images at a high resolution. This…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Blaž Rolih , Dick Ameln , Ashwin Vaidya , Samet Akcay

Fault-tolerant complexes describe surface-code fault-tolerant protocols from a single geometric object. We first introduce fusion complexes that define a general family of fusion-based quantum computing (FBQC) fault-tolerant quantum…

Self assembly is a process by which supramolecular species form spontaneously from their components. This process is ubiquitous throughout the life chemistry and is central to biological information processing. It has been predicted that in…

Information Theory · Computer Science 2009-08-20 Anshul Chaurasia , Sudhanshu Dwivedi , Prateek Jain , Manish K. Gupta

Contemporary technological challenges often involve many degrees of freedom in a distributed or networked setting. Three aspects are notable: the variables are usually associated with the nodes of a graph with limited communication…

Statistical Mechanics · Physics 2017-08-30 Nicolas Allegra , Bassam Bamieh , Partha P. Mitra , Clément Sire

We apply the Min-Sum message-passing protocol to solve the consensus problem in distributed optimization. We show that while the ordinary Min-Sum algorithm does not converge, a modified version of it known as Splitting yields convergence to…

Optimization and Control · Mathematics 2017-11-06 Patrick Rebeschini , Sekhar Tatikonda

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

Distributed control increases system scalability, flexibility, and redundancy. Foundational to such decentralisation is consensus formation, by which decision-making and coordination are achieved. However, decentralised multi-agent systems…

Multiagent Systems · Computer Science 2024-03-11 Agathe Bouis , Christopher Lowe , Ruaridh A. Clark , Malcolm Macdonald

This study addresses a distributed optimization with a novel class of coupling of variables, called clique-wise coupling. A clique is a node set of a complete subgraph of an undirected graph. This setup is an extension of pairwise coupled…

Optimization and Control · Mathematics 2023-04-24 Yuto Watanabe , Kazunori Sakurama

In a probabilistic cellular automaton in which all local transitions have positive probability, the problem of keeping a bit of information indefinitely is nontrivial, even in an infinite automaton. Still, there is a solution in 2…

Probability · Mathematics 2024-01-26 Peter Gacs

We use analytic theory and computer simulation to study patterns formed during the growth of two-component assemblies in 2D and 3D. We show that these patterns undergo a nonequilibrium phase transition, at a particular growth rate, between…

Statistical Mechanics · Physics 2014-05-12 Stephen Whitelam , Lester O. Hedges , Jeremy D. Schmit

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

One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven…

Materials Science · Physics 2017-09-08 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

Molecular building blocks interacting at the nanoscale organize spontaneously into stable mono- layers that display intriguing long-range ordering motifs on the surface of atomic substrates. The patterning process, if appropriately…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Marta Balbás Gambra , Carsten Rohr , Kathrin Gruber , Bianca Hermann , Thomas Franosch

In the self-assembly process which drives the formation of cellular membranes, micelles, and capsids, a collection of separated subunits spontaneously binds together to form functional and more ordered structures. In this work, we study the…

Biological Physics · Physics 2021-05-04 Mobolaji Williams

Consensus is one of the most fundamental problems in distributed computing. This paper studies the consensus problem in a synchronous dynamic directed network, in which communication is controlled by an oblivious message adversary. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Hugo Rincon Galeana , Ulrich Schmid , Kyrill Winkler , Ami Paz , Stefan Schmid

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to…

Optimization and Control · Mathematics 2023-08-24 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

This study proposes median consensus embedding (MCE) to address variability in low-dimensional embeddings caused by random initialization in nonlinear dimensionality reduction techniques such as $t$-distributed stochastic neighbor…

Machine Learning · Statistics 2025-12-10 Yui Tomo , Daisuke Yoneoka

This paper addresses the distributed consensus problem in the presence of faulty nodes. A novel weight learning algorithm is introduced such that neither network connectivity nor a sequence of history records is required to achieve…

Multiagent Systems · Computer Science 2020-02-11 Jian Hou , Zhiyong Chen , ZhiyunLin , Mengfan Xiang

This paper studies the problem of coordinating a group of $n$th-order integrator systems. As for the well-studied conventional consensus problem, we consider linear and distributed control with only local and relative measurements. We…

Optimization and Control · Mathematics 2023-04-25 Jonas Hansson , Emma Tegling