Fast and accurate log-determinant approximations

Owen Deen; Colton River Waller; John Paul Ward

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arXiv · 2403.14609

Fast and accurate log-determinant approximations

Owen Deen·Colton River Waller·John Paul Ward

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Abstract

We consider the problem of estimating log-determinants of large, sparse, positive definite matrices. A key focus of our algorithm is to reduce computational cost, and it is based on sparse approximate inverses. The algorithm can be implemented to be adaptive, and it uses graph spline approximation to improve accuracy. We illustrate our approach on classes of large sparse matrices.

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Owen Deen, Colton River Waller, John Paul Ward. 2024-03-21. Fast and accurate log-determinant approximations. https://arxiv.org/abs/2403.14609

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