Title
Spectral Independence via Stability and Applications to Holant-Type Problems
Abstract
This paper formalizes connections between stability of polynomials and convergence rates of Markov Chain Monte Carlo (MCMC) algorithms. We prove that if a (multivariate) partition function is nonzero in a region around a real point $\lambda$ then spectral independence holds at $\lambda$. As a consequence, for Holant-type problems (e.g., spin systems) on bounded-degree graphs,...
Year
DOI
Venue
2021
10.1109/FOCS52979.2021.00023
2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)
Keywords
DocType
ISSN
Computer science,Interpolation,Monte Carlo methods,Tensors,Markov processes,Stability analysis,Partitioning algorithms
Conference
0272-5428
ISBN
Citations 
PageRank 
978-1-6654-2055-6
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Zongchen Chen126.13
Kuikui Liu222.07
Eric Vigoda374776.55