3 papers
math.NA2024
An Arnoldi-based approach to polynomial and rational least squares problems
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational least squares problems. Although the increase in the approximation degree allows us to fit…
math.OC2024
A Riemannian rank-adaptive method for higher-order tensor completion in the tensor-train format
Charlotte Vermeylen, Marc Van Barel
In this paper a new Riemannian rank adaptive method (RRAM) is proposed for the low-rank tensor completion problem (LRTCP) formulated as a least-squares optimization problem on the…
math.NA2023
Stability Improvements for Fast Matrix Multiplication
Charlotte Vermeylen, Marc Van Barel
We implement an Augmented Lagrangian method to minimize a constrained least-squares cost function designed to find polyadic decompositions of the matrix multiplication tensor. We u…