Publications

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Submitted

Designing Preconditioners for SGD: Local Conditioning, Noise Floors, and Basin Stability
M. Scott, T. Xu, Z. Tang, A. Pichette-Emmons, Q. Ye, Y. Saad, and Y. Xi
arXiv:2511.19716 (2025)
arXiv PDF
Preconditioned Truncated Single-Sample Estimators for Scalable Stochastic Optimization
T. Xu, D. Cai, H. Huang, E. Chow, and Y. Xi
arXiv:2510.24587 (2025)
arXiv PDF
Neural Approximate Inverse Preconditioners
T. Xu, R. Li, and Y. Xi
arXiv:2510.13034 (2025)
arXiv PDF
Mixed Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems
T. Xu, Z. Zhang, J. Chen, Y. Saad, and Y. Xi
arXiv:2505.00281 (2025)
arXiv PDF CODE
Preconditioned Additive Gaussian Processes with Fourier Acceleration
T. Wagner, T. Xu, F. Nestler, Y. Xi, and M. Stoll
arXiv:2504.00480v1 (2025)
arXiv PDF CODE
HiGP: A High-Performance Python Package for Gaussian Process
H. Huang, T. Xu, Y. Xi, and E. Chow
arXiv:2503.02259 (2025)
arXiv PDF CODE

Published

Multiscale Neural Networks for Approximating Green's Functions
W. Hao, R. Li, Y. Xi, T. Xu, and Y. Yang
SIAM Journal on Scientific Computing (To appear)
arXiv PDF CODE
A Two-level GPU-Accelerated Incomplete LU Preconditioner for General Sparse Linear Systems
T. Xu, R. Li, and D. Osei-Kuffuor
International Journal of High Performance Computing Applications (2025)
DOI PDF CODE
Anderson Acceleration with Truncated Gram-Schmidt
Z. Tang, T. Xu, H. He, Y. Saad, and Y. Xi
SIAM Journal on Matrix Analysis and Applications (2024)
DOI PDF CODE
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices
S. Zhao, T. Xu, H. Huang, E. Chow, and Y. Xi
SIAM Journal on Scientific Computing (2024)
DOI PDF CODE
A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation
T. Xu, A. P. Austin, V. Kalantzis, and Y. Saad
SIAM Journal on Scientific Computing (2023)
DOI PDF CODE
parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices
T. Xu, V. Kalantzis, R. Li, Y. Xi, G. Dillon, and Y. Saad
Parallel Computing (2022), Vol. 113
DOI PDF CODE
Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements
V. Shaydurov, and T. Xu
Finite Difference Methods, Theory and Applications (2015)
DOI

PhD Dissertation

Parallel Schur Complement Algorithms for the Solution of Sparse Linear Systems and Eigenvalue Problems
Tianshi Xu
University of Minnesota, Twin Cities (July 2023)
Advisor: Professor Yousef Saad
Link