247 citations · 609 across the 27 of their papers we have counts for
3 papers · 1 filter
Hyperspectral Super-Resolution with Coupled Tucker Approximation: Recoverability and SVD-based algorithms
Clémence Prévost, Konstantin Usevich, Pierre Comon +1
We propose a novel approach for hyperspectral super-resolution, that is based on low-rank tensor approximation for a coupled low-rank multilinear (Tucker) model. We show that the c…
Topology of tensor ranks
Pierre Comon, Lek-Heng Lim, Yang Qi +1
We study path-connectedness and homotopy groups of sets of tensors defined by tensor rank, border rank, multilinear rank, as well as their symmetric counterparts for symmetric tens…
On approximate diagonalization of third order symmetric tensors by orthogonal transformations
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we study the approximate orthogonal diagonalization problem of third order symmetric tensors. We define several classes of approximately diagonal tensors, including…