55 citations · 214 across the 36 of their papers we have counts for
6 papers · 1 filter
Numerical algorithms on the affine Grassmannian
Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye
The affine Grassmannian is a noncompact smooth manifold that parameterizes all affine subspaces of a fixed dimension. It is a natural generalization of Euclidean space, points bein…
Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
Sergei Gukov, Du Pei, Wenbin Yan +1
In this paper, we show the equivalence between two seemingly distinct 2d TQFTs: one comes from the "Coulomb branch index" of the class S theory on , the…
New classes of matrix decompositions
Ke Ye
The idea of decomposing a matrix into a product of structured matrices such as triangular, orthogonal, diagonal matrices is a milestone of numerical computations. In this paper, we…
Cohomology of Cryo-Electron Microscopy
Ke Ye, Lek-Heng Lim
The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimensional structure of a molecule from a collection of its 2-dimensional projected images. In this article, we s…
Algorithms for structured matrix-vector product of optimal bilinear complexity
Ke Ye, Lek-Heng Lim
We present explicit algorithms for computing structured matrix-vector products that are optimal in the sense of Strassen, i.e., using a provably minimum number of multiplications.…
Fast structured matrix computations: tensor rank and Cohn--Umans method
Ke Ye, Lek-Heng Lim
We discuss a generalization of the Cohn-Umans method, a potent technique developed for studying the bilinear complexity of matrix multiplication by embedding matrices into an appro…