2 papers
math.AG2025
The Real Vanishing Ideals of Nuclear p-Norm Balls
Ghislain Fourier, Yuhuai Zhou
We study the algebraic and geometric structure related to tensor nuclear norms. We show that the unit ball of the nuclear norm is the convex hull of an irreducible real variety and…
math.OC2025
Low-Rank Tensor Recovery via Theta Nuclear p-Norm
Felix Röhrich, Yuhuai Zhou
We investigate the low-rank tensor recovery problem using a relaxation of the nuclear p-norm by theta bodies. We provide algebraic descriptions of the norms and compute their Gröbn…