Email: ding158@purdue.edu
Email: ding158@purdue.edu
I'm in my final year as a PhD student in the math department at Purdue. I'm also the president of SIAM chapter at Purdue. See our webpage.
Randomized numerical linear algebra
Matrix analysis for neural networks
Structured matrices and fast direct solvers
Ph.D. in Applied Mathematics, Purdue University (2019 – present)
Advisor: Jianlin Xia
B.S. in Mathematics, Purdue University (2015 – 2019)
Minor in Computer Science
I am moving to a new webpage here!
Matrix Analysis from Shallow ReLU Neural Network Least-Squares Approximations, In preparation, 2025
Z. Cai, T. Ding, M. Liu, X. Liu, and J. Xia. A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network (submitted to SISC), 2024, arXiv:2404.05064
Matrix Analysis and Fast Solvers in Neural Networks, (minisymposium), 10/2025
SIAM Central States Section Annual Meeting, Fayetteville, AR,
A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network, (minisymposium), 6/2024
International Conference On Preconditioning Techniques For Scientific and Industrial Applications, Atlanta, GA
Matrix Analysis for Shallow ReLU Neural Network Least-Squares Approximations, 2025
NSF Computational Mathematics PI Meeting, Salt Lake City, UT,
Fast Solvers for Neural Network Least-squares Approximations, 2024
NSF Computational Mathematics PI Meeting, Seattle, WA
President, SIAM Purdue Student Chapter, 2024 – Present
Organized annual student conferences (speakers, budget, logistics)
Co-ran Center for Computational and Applied Mathematics (CCAM) lunch seminars
Mentor, Women in Science Program, 2018 – 2019
Mentored first-year students
Supported retention and inclusion in STEM.
SIAM Student Travel Award, SIAM Central States Section Annual Meeting, 2025
T. T. Moh Graduate Scholarship Fund, 2019, 2024
Spira Undergraduate Research Award, 2019
Jandos Scholarship, 2018
Jean E. Rubin Memorial Scholarship, 2017, 2018