Interpolating log-determinant and trace of the powers of matrix A + t B .
Stat Comput
; 32(6): 108, 2022.
Article
em En
| MEDLINE
| ID: mdl-36397998
ABSTRACT
We develop heuristic interpolation methods for the functions t ⦠log det A + t B and t ⦠trace ( A + t B ) p where the matrices A and B are Hermitian and positive (semi) definite and p and t are real variables. These functions are featured in many applications in statistics, machine learning, and computational physics. The presented interpolation functions are based on the modification of sharp bounds for these functions. We demonstrate the accuracy and performance of the proposed method with numerical examples, namely, the marginal maximum likelihood estimation for Gaussian process regression and the estimation of the regularization parameter of ridge regression with the generalized cross-validation method.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Stat Comput
Ano de publicação:
2022
Tipo de documento:
Article