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Physics Informed Topology Learning in Networks of Linear Dynamical\n Systems

2018/09/27 by Saurav Talukdar, Talukdar, Saurav, Deepjyoti Deka +8
Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Electrical engineering #Machine Learning (stat.ML) #Neural Networks and Applications #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1809.10535

openalex publication_date 2018/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Learning influence pathways of a network of dynamically related processes\nfrom observations is of considerable importance in many disciplines. In this\narticle, influence networks of agents which interact dynamically via linear\ndependencies are considered. An algorithm for the reconstruction of the\ntopology of interaction based on multivariate Wiener filtering is analyzed. It\nis shown that for a vast and important class of interactions, that respect flow\nconservation, the topology of the interactions can be exactly recovered. The\nclass of problems where reconstruction is guaranteed to be exact includes power\ndistribution networks, dynamic thermal networks and consensus networks. The\nefficacy of the approach is illustrated through simulation and experiments on\nconsensus networks, IEEE power distribution networks and thermal dynamics of\nbuildings.\n

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