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Title: Decentralized computation of effective resistances and acceleration of consensus algorithms
The effective resistance between a pair of nodes in a weighted undirected graph is defined as the potential difference induced between them when a unit current is injected at the first node and extracted at the second node, treating edge weights as the conductance values of edges. The effective resistance is a key quantity of interest in many applications and fields including solving linear systems, Markov Chains and continuous-time averaging networks. We develop an efficient linearly convergent distributed algorithm for computing effective resistances and demonstrate its performance through numerical studies. We also apply our algorithm to the consensus problem where the aim is to compute the average of node values in a distributed manner. We show that the distributed algorithm we developed for effective resistances can be used to accelerate the convergence of the classical consensus iterations considerably by a factor depending on the network structure.  more » « less
Award ID(s):
1723085 1635106 1400217
PAR ID:
10055946
Author(s) / Creator(s):
;
Date Published:
Journal Name:
IEEE Global Conference on Signal and Information Processing (GlobalSIP)
Page Range / eLocation ID:
538 to 542
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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