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This paper addresses the problem of identifying the topology of an unknown, weighted, directed network running a consensus dynamics. We propose a methodology to reconstruct the network topology from the dynamic response when the system is…

Social and Information Networks · Computer Science 2013-03-18 Shahin Shahrampour , Victor M. Preciado

In this article, we present a method to reconstruct the topology of a partially observed radial network of linear dynamical systems with bi-directional interactions. Our approach exploits the structure of the inverse power spectral density…

Systems and Control · Computer Science 2018-07-13 Saurav Talukdar , Deepjyoti Deka , Michael Chertkov , Murti Salapaka

The network structure (or topology) of a dynamical network is often unavailable or uncertain. Hence, we consider the problem of network reconstruction. Network reconstruction aims at inferring the topology of a dynamical network using…

Optimization and Control · Mathematics 2018-09-26 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

We consider spectral methods that uncover hidden structures in directed networks. We establish and exploit connections between node reordering via (a) minimizing an objective function and (b) maximizing the likelihood of a random graph…

Social and Information Networks · Computer Science 2021-10-12 Xue Gong , Desmond John Higham , Konstantinos Zygalakis

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

In this article, we present a novel approach to reconstruct the topology of networked linear dynamical systems with latent nodes. The network is allowed to have directed loops and bi-directed edges. The main approach relies on the unique…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Mishfad S. V. , Harish Doddi , Murti V. Salapaka

Dynamic networks are interconnected dynamic systems with measured node signals and dynamic modules reflecting the links between the nodes. We address the problem of \red{identifying a dynamic network with known topology, on the basis of…

Systems and Control · Computer Science 2018-10-02 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

Optimization and Control · Mathematics 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

We propose an adaptive control protocol for identifying the topology of dynamical networks interconnected over undirected graphs with cooperative and antagonistic interactions. The signed network is modeled using a repelling Laplacian.…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Pelin Sekercioglu , Nana Wang , Angela Fontan , Dimos V. Dimarogonas

An important problem in many areas of science is that of recovering interaction networks from simultaneous time-series of many interacting dynamical processes. A common approach is to use the elements of the correlation matrix or its…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Ian Xul Belaustegui , Marcela Ordorica Arango , Román Rossi-Pool , Naomi Ehrich Leonard , Alessio Franci

Topology inference is a powerful tool to better understand the behaviours of network systems (NSs). Different from most of prior works, this paper is dedicated to inferring the directed topology of NSs from noisy observations, where the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Qing Jiao , Yushan Li , Jianping He

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

Network topology identification (TI) is an essential function for distributed energy resources management systems (DERMS) to organize and operate widespread distributed energy resources (DERs). In this paper, discriminant analysis (DA) is…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Mohammad Jafarian , Alireza Soroudi , Andrew Keane

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

Inferring network topology from dynamical observations is a fundamental problem pervading research on complex systems. Here, we present a simple, direct method to infer the structural connection topology of a network, given an observation…

Chaotic Dynamics · Physics 2015-05-19 Srinivas Gorur Shandilya , Marc Timme

Learning influence pathways of a network of dynamically related processes from observations is of considerable importance in many disciplines. In this article, influence networks of agents which interact dynamically via linear dependencies…

Systems and Control · Computer Science 2018-09-28 Saurav Talukdar , Deepjyoti Deka , Harish Doddi , Donatello Materassi , Misha Chertkov , Murti V. Salapaka

The formalism of complex networks is extensively employed to describe the dynamics of interacting agents in several applications. The features of the connections among the nodes in a network are not always provided beforehand, hence the…

Dynamical Systems · Mathematics 2017-04-12 Francesco Alderisio , Gianfranco Fiore , Mario di Bernardo

This article addresses the problem of reconstructing the topology of a network of agents interacting via linear dynamics, while being excited by exogenous stochastic sources that are possibly correlated across the agents, from time-series…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Mishfad Shaikh Veedu , Murti V. Salapaka

In this article we present a method to reconstruct the interconnectedness of dynamically related stochastic processes, where the interactions are bi-directional and the underlying topology is a tree. Our approach is based on multivariate…

Machine Learning · Computer Science 2017-03-03 Saurav Talukdar , Deepjyoti Deka , Donatello Materassi , Murti V. Salapaka

A fundamental problem in studying and modeling economic and financial systems is represented by privacy issues, which put severe limitations on the amount of accessible information. Here we introduce a novel, highly nontrivial method to…

Physics and Society · Physics 2018-12-10 Giulio Cimini , Tiziano Squartini , Andrea Gabrielli , Diego Garlaschelli
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