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In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Zheng Wenju , Ye Hao

The problem of quickest detection of dynamic events in networks is studied. At some unknown time, an event occurs, and a number of nodes in the network are affected by the event, in that they undergo a change in the statistics of their…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Shaofeng Zou , Venugopal V. Veeravalli , Jian Li , Don Towsley

Distributed data sharing in dynamic networks is ubiquitous. It raises the concern that the private information of dynamic networks could be leaked when data receivers are malicious or communication channels are insecure. In this paper, we…

Optimization and Control · Mathematics 2019-12-18 Yang Lu , Minghui Zhu

We present a general information theoretic approach for identifying functional subgraphs in complex networks where the dynamics of each node are observable. We show that the uncertainty in the state of each node can be expressed as a sum of…

Neurons and Cognition · Quantitative Biology 2008-07-31 Luis M. A. Bettencourt , Vadas Gintautas , Michael I. Ham

Identification of attractors, that is, stable states and sustained oscillations, is an important step in the analysis of Boolean models and exploration of potential variants. We describe an approach to the search for asynchronous cyclic…

Discrete Mathematics · Computer Science 2024-03-29 Elisa Tonello , Loïc Paulevé

In classical approaches of dynamic network identification, in order to identify a system (module) embedded in a dynamic network, one has to formulate a Multi-input-Single-output (MISO) identification problem that requires identification of…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Karthik R. Ramaswamy , Péter Zoltán Csurcsia , Johan Schoukens , Paul M. J. Van den Hof

This article deals with stabilizing discrete-time switched linear systems. Our contributions are threefold: Firstly, given a family of linear systems possibly containing unstable dynamics, we propose a large class of switching signals that…

Systems and Control · Computer Science 2014-05-09 Atreyee Kundu , Debasish Chatterjee

We study collective dynamics of complex networks of stochastic excitable elements, active rotators. In the thermodynamic limit of infinite number of elements, we apply a mean-field theory for the network and then use a Gaussian…

Chaotic Dynamics · Physics 2013-11-19 Bernard Sonnenschein , Michael A. Zaks , Alexander B. Neiman , Lutz Schimansky-Geier

This paper studies the possibility of detecting and isolating topology failures (including link failures and node failures) of a networked system from subsystem measurements, in which subsystems are of fixed high-order linear dynamics, and…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Yuan Zhang , Yuanqing Xia , Jinhui Zhang , Jun Shang

The equilibrium properties of allocation algorithms for networks with a large number of nodes with finite capacity are investigated. Every node is receiving a flow of requests and when a request arrives at a saturated node, i.e. a node…

Probability · Mathematics 2026-01-14 Davit Martirosyan , Philippe Robert

We present a numerical method for learning unknown nonautonomous stochastic dynamical system, i.e., stochastic system subject to time dependent excitation or control signals. Our basic assumption is that the governing equations for the…

Machine Learning · Computer Science 2025-03-04 Yuan Chen , Dongbin Xiu

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

Machine Learning · Computer Science 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

When an online learning algorithm is used to estimate the unknown parameters of a model, the signals interacting with the parameter estimates should not decay too quickly for the optimal values to be discovered correctly. This requirement…

Machine Learning · Computer Science 2019-11-05 Kamil Nar , S. Shankar Sastry

This paper addresses analytical aspects of deterministic, continuous-time dynamical systems defined on networks. The goal is to model and analyze certain phenomena which must be framed beyond the context of networked dynamical systems,…

Dynamical Systems · Mathematics 2015-01-09 Ricardo Riaza

In this paper, we investigate detectability and identifiability of attacks on linear dynamical systems that are subjected to external disturbances. We generalize a concept for a security index, which was previously introduced for static…

Systems and Control · Computer Science 2016-10-14 Henrik Sandberg , André M. H. Teixeira

Models of simple excitable dynamics on graphs are an efficient framework for studying the interplay between network topology and dynamics. This subject is a topic of practical relevance to diverse fields, ranging from neuroscience to…

Neurons and Cognition · Quantitative Biology 2015-01-12 C. Fretter , A. Lesne , C. C. Hilgetag , M. -Th. Hütt

Spreading phenomena on networks are essential for the collective dynamics of various natural and technological systems, from information spreading in gene regulatory networks to neural circuits or from epidemics to supply networks…

Physics and Society · Physics 2021-06-01 Justine Wolter , Benedict Lünsmann , Xiaozhu Zhang , Malte Schröder , Marc Timme

Reconstructing the states of the nodes of a dynamical network is a problem of fundamental importance in the study of neuronal and genetic networks. An underlying related problem is that of observability, i.e., identifying the conditions…

Pattern Formation and Solitons · Physics 2017-03-31 Afroza Shirin , Dionicio F. Rios , Francesco Sorrentino

We study the power of \textit{local information algorithms} for optimization problems on social networks. We focus on sequential algorithms for which the network topology is initially unknown and is revealed only within a local neighborhood…

Social and Information Networks · Computer Science 2013-10-15 Christian Borgs , Michael Brautbar , Jennifer Chayes , Sanjeev Khanna , Brendan Lucier

The goal of causal representation learning is to find a representation of data that consists of causally related latent variables. We consider a setup where one has access to data from multiple domains that potentially share a causal…

Machine Learning · Statistics 2023-10-30 Nils Sturma , Chandler Squires , Mathias Drton , Caroline Uhler