55 citations · 214 across the 36 of their papers we have counts for
6 papers · 1 filter
Semi-Riemannian Manifold Optimization
Tingran Gao, Lek-Heng Lim, Ke Ye
We introduce in this paper a manifold optimization framework that utilizes semi-Riemannian structures on the underlying smooth manifolds. Unlike in Riemannian geometry, where each…
3d TQFTs from Argyres-Douglas theories
Mykola Dedushenko, Sergei Gukov, Hiraku Nakajima +2
We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres-Douglas theories on with a non-trivi…
The Grassmannian of affine subspaces
Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye
The Grassmannian of affine subspaces is a natural generalization of both the Euclidean space, points being zero-dimensional affine subspaces, and the usual Grassmannian, linear sub…
Geometric distance between positive definite matrices of different dimensions
Lek-Heng Lim, Rodolphe Sepulchre, Ke Ye
We show how the Riemannian distance on , the cone of real symmetric or complex Hermitian positive definite matrices, may be used to naturally define…
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…
Tensor network ranks
Ke Ye, Lek-Heng Lim
In problems involving approximation, completion, denoising, dimension reduction, estimation, interpolation, modeling, order reduction, regression, etc, we argue that the near-unive…