3 papers
math.NA2026
Warped geometries of Segre-Veronese manifolds
Simon Jacobsson, Lars Swijsen, Joeri Van der Veken +1
Segre-Veronese manifolds are smooth submanifolds of tensors comprising the partially symmetric rank-1 tensors. We investigate a one-parameter family of warped geometries of Segre-V…
math.NA2025
A homogeneous geometry of low-rank tensors
Simon Jacobsson
We consider sets of fixed CP, multilinear, and TT rank tensors, and derive conditions for when (the smooth parts of) these sets are smooth homogeneous manifolds. For CP and TT rank…
math.NA2024
Approximating maps into manifolds with lower curvature bounds
Simon Jacobsson, Raf Vandebril, Joeri van der Veken +1
Many interesting functions arising in applications map into Riemannian manifolds. We present an algorithm, using the manifold exponential and logarithm, for approximating such func…