activity
20062020
most citedRandomized QR with Column Pivoting

100 citations · 217 across the 14 of their papers we have counts for

collaborators

15 papers

cs.MS2020

Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations

Jed A. Duersch, Ming Gu

Rank-revealing matrix decompositions provide an essential tool in spectral analysis of matrices, including the Singular Value Decomposition (SVD) and related low-rank approximation…

math.NA2018★ 2 cited

Superlinear Convergence of Randomized Block Lanczos Algorithm

Qiaochu Yuan, Ming Gu, Bo Li

The low rank approximation of matrices is a crucial component in many data mining applications today. A competitive algorithm for this class of problems is the randomized block Lan…

math.NA2018★ 3 cited

Spectrum-Revealing Cholesky Factorization for Kernel Methods

Jianwei Xiao, Ming Gu

Kernel methods represent some of the most popular machine learning tools for data analysis. Since exact kernel methods can be prohibitively expensive for large problems, reliable l…

math.NA2018★ 25 cited

Fast Parallel Randomized QR with Column Pivoting Algorithms for Reliable Low-rank Matrix Approximations

Jianwei Xiao, Ming Gu, Julien Langou

Factorizing large matrices by QR with column pivoting (QRCP) is substantially more expensive than QR without pivoting, owing to communication costs required for pivoting decisions.…

math.NA2018

Low-Rank Matrix Approximations with Flip-Flop Spectrum-Revealing QR Factorization

Yuehua Feng, Jianwei Xiao, Ming Gu

We present Flip-Flop Spectrum-Revealing QR (Flip-Flop SRQR) factorization, a significantly faster and more reliable variant of the QLP factorization of Stewart, for low-rank matrix…

math.NA2017

Randomized Complete Pivoting for Solving Symmetric Indefinite Linear Systems

Yuehua Feng, Jianwei Xiao, Ming Gu

The Bunch-Kaufman algorithm and Aasen's algorithm are two of the most widely used methods for solving symmetric indefinite linear systems, yet they both are known to suffer from oc…