2 citations · 3 across the 5 of their papers we have counts for
5 papers
Generalized cyclic symmetric decompositions for the matrix multiplication tensor
Charlotte Vermeylen, Marc Van Barel
A new generalized cyclic symmetric structure in the factor matrices of polyadic decompositions of matrix multiplication tensors for non-square matrix multiplication is proposed to…
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…
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…
Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format
Charlotte Vermeylen, Guillaume Olikier, P. -A. Absil +1
We propose a numerical method to obtain an adequate value for the upper bound on the rank for the tensor completion problem on the variety of third-order tensors of bounded tensor-…
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank
Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel
An approximate projection onto the tangent cone to the variety of third-order tensors of bounded tensor-train rank is proposed and proven to satisfy a better angle condition than t…