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This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the…

Systems and Control · Computer Science 2015-03-19 Giacomo Innocenti

Processes on networks consist of two interdependent parts: the network topology, consisting of the links between nodes, and the dynamics, specified by some governing equations. This work considers the prediction of the future dynamics on an…

Physics and Society · Physics 2022-11-08 Bastian Prasse , Piet Van Mieghem

The state-of-the-art topologies of datacenter networks are fixed, based on electrical switching technology, and by now, we understand their throughput and cost well. For the past years, researchers have been developing novel optical…

Networking and Internet Architecture · Computer Science 2024-02-15 Chen Griner , Chen Avin

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

Social and Information Networks · Computer Science 2018-10-19 Tiago P. Peixoto

Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory to study topological properties of unweighted and…

Discrete Mathematics · Computer Science 2019-10-01 Harish Kannan , Emil Saucan , Indrava Roy , Areejit Samal

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear transfer functions and are excited by known external excitation signals and/or unknown noise signals. A…

Optimization and Control · Mathematics 2018-03-18 Julien M. Hendrickx , Michel Gevers , Alexandre S. Bazanella

Control and characterization of networks is a paramount step for the development of many quantum technologies. Even for moderate-sized networks, this amounts to explore an extremely vast parameters space in search for the couplings defining…

Quantum Physics · Physics 2024-05-30 Claudia Benedetti , Ilaria Gianani

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

Reconstructing complex networks from measurable data is a fundamental problem for understanding and controlling collective dynamics of complex networked systems. However, a significant challenge arises when we attempt to decode structural…

Physics and Society · Physics 2015-11-20 Xiao Han , Zhesi Shen , Wen-Xu Wang , Zengru Di

This study addresses the challenge of predicting network dynamics, such as forecasting disease spread in social networks or estimating species populations in predator-prey networks. Accurate predictions in large networks are difficult due…

Social and Information Networks · Computer Science 2023-08-23 Rui Luo

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

Statistical Mechanics · Physics 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links. We consider a setting where the links between networks…

Social and Information Networks · Computer Science 2020-02-17 Yuhao Yi , Anirban Das , Stacy Patterson , Bassam Bamieh , Zhongzhi Zhang

We present a scalable nonparametric Bayesian method to perform network reconstruction from observed functional behavior that at the same time infers the communities present in the network. We show that the joint reconstruction with…

Physics and Society · Physics 2019-09-23 Tiago P. Peixoto

Estimating the structure of physical flow networks such as power grids is critical to secure delivery of energy. This paper discusses statistical structure estimation in power grids in the "under-excited" regime, where a subset of internal…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Deepjyoti Deka , Harish Doddi , Sidhant Misra , Murti Salapaka

We study the identifiability of nonlinear network systems with partial excitation and partial measurement when the network dynamics is linear on the edges and nonlinear on the nodes. We assume that the graph topology and the nonlinear…

Optimization and Control · Mathematics 2025-05-21 Martina Vanelli , Julien M. Hendrickx

The interaction topology among the constituents of a complex network plays a crucial role in the network's evolutionary mechanisms and functional behaviors. However, some network topologies are usually unknown or uncertain. Meanwhile,…

Chaotic Dynamics · Physics 2016-06-22 Yingfei Wang , Xiaoqun Wu , Hui Feng , Jun-an Lu , Yuhua Xu

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

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
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