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Contributed discussion on the article "A Bayesian conjugate gradient method"

  • The recent article "A Bayesian conjugate gradient method" by Cockayne, Oates, Ipsen, and Girolami proposes an approximately Bayesian iterative procedure for the solution of a system of linear equations, based on the conjugate gradient method, that gives a sequence of Gaussian/normal estimates for the exact solution. The purpose of the probabilistic enrichment is that the covariance structure is intended to provide a posterior measure of uncertainty or confidence in the solution mean. This note gives some comments on the article, poses some questions, and suggests directions for further research.

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Author:T. J. Sullivan
Document Type:Article
Parent Title (English):Bayesian Analysis
First Page:985
Last Page:989
Year of first publication:2019
ArXiv Id:http://arxiv.org/abs/1906.10240
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