A polynomial time iterative algorithm for matching Gaussian matrices with non-vanishing correlation
Data Structures and Algorithms
2025-09-01 v1 Probability
Statistics Theory
Machine Learning
Statistics Theory
Abstract
Motivated by the problem of matching vertices in two correlated Erd\H{o}s-R\'enyi graphs, we study the problem of matching two correlated Gaussian Wigner matrices. We propose an iterative matching algorithm, which succeeds in polynomial time as long as the correlation between the two Gaussian matrices does not vanish. Our result is the first polynomial time algorithm that solves a graph matching type of problem when the correlation is an arbitrarily small constant.
Cite
@article{arxiv.2212.13677,
title = {A polynomial time iterative algorithm for matching Gaussian matrices with non-vanishing correlation},
author = {Jian Ding and Zhangsong Li},
journal= {arXiv preprint arXiv:2212.13677},
year = {2025}
}
Comments
51 pages