Title
Permanents, \(\alpha \) -permanents and Sinkhorn balancing
Abstract
Abstract The method of Sinkhorn balancing that starts with a non-negative square matrix and iterates to produce a related doubly stochastic matrix has been used with some success to estimate the values of the permanent in some cases of physical interest. However, it is often claimed that Sinkhorn balancing is slow to converge and hence not useful for efficient computation. In this paper, we explain how some simple, low cost pre-processing allows one to guarantee that Sinkhorn balancing always converges linearly. We illustrate this approach by efficiently and accurately computing permanents and \(\alpha \)-permanents of some previously studied matrices.
Year
DOI
Venue
2014
10.1007/s00180-014-0506-1
Computational Statistics
Keywords
DocType
Volume
Matrix scaling,Doubly stochastic matrix,Sequential importance sampling
Journal
29
Issue
ISSN
Citations 
6
1613-9658
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Francis Sullivan100.68
Beichl, Isabel26322.58