3 papers
math.NA2025
Robust Eigenvectors of Symmetric Tensors
Tommi Muller, Elina Robeva, Konstantin Usevich
The tensor power method generalizes the matrix power method to higher order arrays, or tensors. Like in the matrix case, the fixed points of the tensor power method are the eigenve…
math.NA2025
Spectral properties of kernel matrices in the flat limit
Simon Barthelmé, Konstantin Usevich
Kernel matrices are of central importance to many applied fields. In this manuscript, we focus on spectral properties of kernel matrices in the so-called ``flat limit'', which occu…
math.NA2025
A lifting approach to ParaTuck-2 tensor decompositions
Konstantin Usevich
The ParaTuck-2 decomposition (PT2D) of third-order tensor is a two-layer generalization of the well-known canonical polyadic decomposition (CPD).While being more flexible than the…