199 citations · 1.3k across the 122 of their papers we have counts for
7 papers · 1 filter
Robust and efficient multi-way spectral clustering
Anil Damle, Victor Minden, Lexing Ying
We present a new algorithm for spectral clustering based on a column-pivoted QR factorization that may be directly used for cluster assignment or to provide an initial guess for k-…
A recursive skeletonization factorization based on strong admissibility
Victor Minden, Kenneth L. Ho, Anil Damle +1
We introduce the strong recursive skeletonization factorization (RS-S), a new approximate matrix factorization based on recursive skeletonization for solving discretizations of lin…
Localized Sparsifying Preconditioner for Periodic Indefinite Systems
Fei Liu, Lexing Ying
This paper introduces the localized sparsifying preconditioner for the pseudospectral approximations of indefinite systems on periodic structures. The work is built on top of the r…
Distributed-memory Hierarchical Interpolative Factorization
Yingzhou Li, Lexing Ying
The hierarchical interpolative factorization (HIF) offers an efficient way for solving or preconditioning elliptic partial differential equations. By exploiting locality and low-ra…
Tensor Network Skeletonization
Lexing Ying
We introduce a new coarse-graining algorithm, tensor network skeletonization, for the numerical computation of tensor networks. This approach utilizes a structure-preserving skelet…
Adaptively compressed polarizability operator for accelerating large scale \textit{ab initio} phonon calculations
Lin Lin, Ze Xu, Lexing Ying
Phonon calculations based on first principle electronic structure theory, such as the Kohn-Sham density functional theory, have wide applications in physics, chemistry and material…
Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations
Victor Minden, Anil Damle, Kenneth L. Ho +1
Maximum likelihood estimation for parameter-fitting given observations from a Gaussian process in space is a computationally-demanding task that restricts the use of such methods t…