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Fast and accurate log-determinant approximations
- Publication Year :
- 2024
-
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.<br />Comment: 5 pages, python code included as an ancillary file
- Subjects :
- Mathematics - Numerical Analysis
65F40, 65F50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.14609
- Document Type :
- Working Paper