Papers βΊ Interpolating Log-Determinant and Trace of the Powers of Matrix π + t π
Interpolating Log-Determinant and Trace of the Powers of Matrix π + t π
Siavash Ameli, Shawn C. Shadden
We develop heuristic interpolation methods for the functions t β¦log( π + t π ) and t β¦trace( (π + t π)α΅ ) where the matrices π and π 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.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Tasks
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Methods
Report a problem or propose a change Β· a person checks every report against the paper or source before anything changes; decisions are listed on /corrections