3 citations · 4 across the 6 of their papers we have counts for
10 papers
Simpler flag optimization
Zehua Lai, Lek-Heng Lim, Ke Ye
We study the geometry of flag manifolds under different embeddings into a product of Grassmannians. We show that differential geometric objects and operations -- tangent vector, me…
Skew-sparse matrix multiplication
Qiao-Long Huang, Ke Ye, Xiao-Shan Gao
Based on the observation that is isomorphic to a quotient skew polynomial ring, we propose a new method for matrix multiplicat…
When geometry meets optimization theory: partially orthogonal tensors
Ke Ye, Shenglong Hu
Due to the multi-linearity of tensors, most algorithms for tensor optimization problems are designed based on the block coordinate descent method. Such algorithms are widely employ…
Simpler Grassmannian optimization
Zehua Lai, Lek-Heng Lim, Ke Ye
There are two widely used models for the Grassmannian , as the set of equivalence classes of orthogonal matrices $\operatorname{O}(n)/(\operatorname{O}(k) \…
Symmetric Tensor Decompositions On Varieties
Jiawang Nie, Ke Ye, Lihong Zhi
This paper discusses the problem of symmetric tensor decomposition on a given variety : decomposing a symmetric tensor into the sum of tensor powers of vectors contained in .…
Linear Convergence of an Alternating Polar Decomposition Method for Low Rank Orthogonal Tensor Approximations
Shenglong Hu, Ke Ye
Low rank orthogonal tensor approximation (LROTA) is an important problem in tensor computations and their applications. A classical and widely used algorithm is the alternating pol…