Exact Topology Reconstruction of Radial Dynamical Systems with\n Applications to Distribution System of the Power Grid

2017/03/02 by Saurav Talukdar, Deepjyoti Deka, Talukdar, Saurav +5
Biochemistry, Genetics and Molecular Biology · Computer Science · #FOS: Computer and information sciences #FOS: Electrical engineering #Gene Regulatory Network Analysis #Image and Signal Denoising Methods #Machine Learning (cs.LG) #Neural Networks and Applications #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1703.00847

openalex publication_date 2017/03/02 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this article we present a method to reconstruct the interconnectedness of\ndynamically related stochastic processes, where the interactions are\nbi-directional and the underlying topology is a tree. Our approach is based on\nmultivariate Wiener filtering which recovers spurious edges apart from the true\nedges in the topology reconstruction. The main contribution of this work is to\nshow that all spurious links obtained using Wiener filtering can be eliminated\nif the underlying topology is a tree based on which we present a three stage\nnetwork reconstruction procedure for trees. We illustrate the effectiveness of\nthe method developed by applying it on a typical distribution system of the\nelectric grid.\n

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