Approximate counting, the Lovasz local lemma, and inference in graphical models

In this paper we introduce a new approach for approximately counting in bounded degree systems with higher-order constraints. Our main result is an algorithm to approximately count the number of solutions to a CNF formula φ when the width is logarithmic in the maximum degree. This closes an exponent...

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Bibliographic Details
Main Author: Moitra, Ankur
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Published: Association for Computing Machinery (ACM) 2018
Online Access:http://hdl.handle.net/1721.1/116220
https://orcid.org/0000-0001-7047-0495