Corpus ID: 190001999

Monte Carlo simulation on the Stiefel manifold via polar expansion

@inproceedings{Jauch2019MonteCS,
title={Monte Carlo simulation on the Stiefel manifold via polar expansion},
author={Michael Jauch and Peter L De Hoff and David B. Dunson},
year={2019}
}
• Published 2019
• Mathematics
• Motivated by applications to Bayesian inference for statistical models with orthogonal matrix parameters, we present $\textit{polar expansion},$ a general approach to Monte Carlo simulation from probability distributions on the Stiefel manifold. To bypass many of the well-established challenges of simulating from the distribution of a random orthogonal matrix $\boldsymbol{Q},$ we construct a distribution for an unconstrained random matrix $\boldsymbol{X}$ such that $\boldsymbol{Q}_X,$ the… CONTINUE READING

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CITES BACKGROUND

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