45 citations · 87 across the 19 of their papers we have counts for
3 papers · 2 filters
Orthogonal and unitary tensor decomposition from an algebraic perspective
Ada Boralevi, Jan Draisma, Emil Horobet +1
While every matrix admits a singular value decomposition, in which the terms are pairwise orthogonal in a strong sense, higher-order tensors typically do not admit such an orthogon…
Positive semidefinite rank and nested spectrahedra
Kaie Kubjas, Elina Robeva, Richard Z. Robinson
The set of matrices of given positive semidefinite rank is semialgebraic. In this paper we study the geometry of this set, and in small cases we describe its boundary. For general…
Decomposing Tensors into Frames
Luke Oeding, Elina Robeva, Bernd Sturmfels
A symmetric tensor of small rank decomposes into a configuration of only few vectors. We study the variety of tensors for which this configuration is a unit norm tight frame.