34 citations · 60 across the 12 of their papers we have counts for
12 papers
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices
Shifan Zhao, Tianshi Xu, Hua Huang +2
The spectrum of a kernel matrix significantly depends on the parameter values of the kernel function used to define the kernel matrix. This makes it challenging to design a precond…
GPU acceleration of local and semilocal density functional calculations in the SPARC electronic structure code
Abhiraj Sharma, Alfredo Metere, Phanish Suryanarayana +3
We present a GPU-accelerated version of the real-space SPARC electronic structure code for performing Kohn-Sham density functional theory calculations within the local density and…
Data-Driven Linear Complexity Low-Rank Approximation of General Kernel Matrices: A Geometric Approach
Difeng Cai, Edmond Chow, Yuanzhe Xi
A general, {\em rectangular} kernel matrix may be defined as where is a kernel function and where and are two…
Data-driven Construction of Hierarchical Matrices with Nested Bases
Difeng Cai, Hua Huang, Edmond Chow +1
Hierarchical matrices provide a powerful representation for significantly reducing the computational complexity associated with dense kernel matrices. For general kernel functions,…
Efficient construction of an HSS preconditioner for symmetric positive definite matrices
Xin Xing, Hua Huang, Edmond Chow
In an iterative approach for solving linear systems with ill-conditioned, symmetric positive definite (SPD) kernel matrices, both fast matrix-vector products and fast preconditioni…
Decentralized and Secure Generation Maintenance with Differential Privacy
Paritosh Ramanan, Murat Yildirim, Nagi Gebraeel +1
Decentralized methods are gaining popularity for data-driven models in power systems as they offer significant computational scalability while guaranteeing full data ownership by u…
Large-Scale Maintenance and Unit Commitment: A Decentralized Subgradient Approach
Paritosh Ramanan, Murat Yildirim, Nagi Gebraeel +1
Unit Commitment (UC) is a fundamental problem in power system operations. When coupled with generation maintenance, the joint optimization problem poses significant computational c…
SPARC: Simulation Package for Ab-initio Real-space Calculations
Qimen Xu, Abhiraj Sharma, Benjamin Comer +5
We present SPARC: Simulation Package for Ab-initio Real-space Calculations. SPARC can perform Kohn-Sham density functional theory calculations for isolated systems such as molecule…
An Asynchronous, Decentralized Solution Framework for the Large Scale Unit Commitment Problem
Paritosh Ramanan, Murat Yildirim, Edmond Chow +1
With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchro…
An efficient method for block low-rank approximations for kernel matrix systems
Xin Xing, Edmond Chow
In the iterative solution of dense linear systems from boundary integral equations or systems involving kernel matrices, the main challenges are the expensive matrix-vector multipl…
Error analysis of an accelerated interpolative decomposition for 3D Laplace problems
Xin Xing, Edmond Chow
In constructing the representation of dense matrices defined by the Laplace kernel, the interpolative decomposition of certain off-diagonal submatrices that dominat…
SMASH: Structured matrix approximation by separation and hierarchy
Difeng Cai, Edmond Chow, Yousef Saad +1
This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel f…