Title
Uniform Sampling through the Lovász Local Lemma.
Abstract
We propose a new algorithmic framework, called “partial rejection sampling”, to draw samples exactly from a product distribution, conditioned on none of a number of bad events occurring. Our framework builds (perhaps surprising) new connections between the variable framework of the Lovász Local Lemma and some clas- sical sampling algorithms such as the “cycle-popping” algorithm for rooted spanning trees by Wilson. Among other applications, we discover new algorithms to sample satisfying assignments of k-CNF formulas with bounded variable occurrences.
Year
DOI
Venue
2017
10.1145/3055399.3055410
STOC
Keywords
DocType
Volume
Exact sampling,Lovasz Local Lemma,#SAT
Conference
abs/1611.01647
ISSN
Citations 
PageRank 
0737-8017
2
0.38
References 
Authors
21
3
Name
Order
Citations
PageRank
Heng Guo18512.02
mark jerrum22755564.62
Jingcheng Liu3273.24