Concentration properties of fractional posterior in 1-bit matrix completion

arXiv:2404.08969v1 Announce Type: cross
Abstract: The problem of estimating a matrix based on a set of its observed entries is commonly referred to as the matrix completion problem. In this work, we specifically address the scenario of binary observations, often termed as 1-bit matrix completion. While numerous studies have explored Bayesian and frequentist methods for real-value matrix completion, there has been a lack of theoretical exploration regarding Bayesian approaches in 1-bit matrix completion. We tackle this gap by considering a …

abstract arxiv bayesian binary cs.lg matrix posterior set stat.ml studies the matrix type work