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Tong Ding
  • Professional
  • Personal
  • Teaching
Tong Ding
  • Professional
  • Personal
  • Teaching
  • More
    • Professional
    • Personal
    • Teaching

Email: ding158@purdue.edu

Tong Ding

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.

Research interests

  • Randomized numerical linear algebra

  • Matrix analysis for neural networks

  • Structured matrices and fast direct solvers

Education

  • 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!

Publications

  1. Matrix Analysis from Shallow ReLU Neural Network Least-Squares Approximations, In preparation,  2025

  2. 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 

Selected Talks

  • 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

Selected Posters

  • 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

Professional Activities

  •  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.

Awards

  • 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

Email: ding158@purdue.edu

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