Privacy-preserving tensor decomposition over encrypted data in a federated cloud environment

J Feng, LT Yang, Q Zhu… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Tensors are popular and versatile tools which model multidimensional data. Tensor
decomposition has emerged as a powerful technique dealing with multidimensional data …

The eigenvalues slicing library (EVSL): Algorithms, implementation, and software

R Li, Y Xi, L Erlandson, Y Saad - SIAM Journal on Scientific Computing, 2019 - SIAM
This paper describes a software package called EVSL (for eigenvalues slicing library) for
solving large sparse real symmetric standard and generalized eigenvalue problems. As its …

Efficient shift-and-invert preconditioning for multi-gpu accelerated density functional calculations

J Woo, W Youn Kim, S Choi - Journal of Chemical Theory and …, 2024 - ACS Publications
To accelerate the iterative diagonalization of electronic structure calculations, we propose a
new inexact shift-and-invert (ISI) preconditioning method. The key idea is to improve shift …

Efficient parallel implementations of sparse triangular solves for GPU architectures

R Li, C Zhang - Proceedings of the 2020 SIAM Conference on Parallel …, 2020 - SIAM
The sparse triangular matrix solve (SpTrSV) is an important computation kernel that is
demanded by a variety of numerical methods such as the Gauss-Seidel iterations. However …

EigenRec: generalizing PureSVD for effective and efficient top-N recommendations

AN Nikolakopoulos, V Kalantzis, E Gallopoulos… - … and Information Systems, 2019 - Springer
We introduce EigenRec, a versatile and efficient latent factor framework for top-N
recommendations that includes the well-known PureSVD algorithm as a special case …

Sublinear time spectral density estimation

V Braverman, A Krishnan, C Musco - … of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
We present a new sublinear time algorithm for approximating the spectral density
(eigenvalue distribution) of an n× n normalized graph adjacency or Laplacian matrix. The …

Dynamic Precision Approach for Accelerating Large-Scale Eigenvalue Solvers in Electronic Structure Calculations on Graphics Processing Units

J Woo, S Kim, WY Kim - Journal of Chemical Theory and …, 2023 - ACS Publications
Single precision (SP) arithmetic can be greatly accelerated as compared to double precision
(DP) arithmetic on graphics processing units (GPUs). However, the use of SP in the whole …

A two-level GPU-accelerated incomplete LU preconditioner for general sparse linear systems

T Xu, R Li, D Osei-Kuffuor - arXiv preprint arXiv:2303.08881, 2023 - arxiv.org
This paper presents a parallel preconditioning approach based on incomplete LU (ILU)
factorizations in the framework of Domain Decomposition (DD) for general sparse linear …

Large eigenvalue problems in coarse-grained dynamic analyses of supramolecular systems

P Koehl - Journal of chemical theory and computation, 2018 - ACS Publications
Computational methods ranging from all-atom molecular dynamics simulations to coarse-
grained normal-mode analyses based on simplified elastic networks provide a general …

Stable computation of generalized matrix functions via polynomial interpolation

JL Aurentz, AP Austin, M Benzi, V Kalantzis - SIAM Journal on Matrix Analysis …, 2019 - SIAM
Generalized matrix functions (GMFs) extend the concept of a matrix function to rectangular
matrices via the singular value decomposition. Several applications involving directed …