Assistant Professor

Biography

Prof. Xu received his Ph.D. in Industrial and Operations Engineering at the University of Michigan in 2022, advised by Prof. Jon Lee. He obtained his bachelor degree in Computational Mathematics from Peking University in 2017. Previously, he was a Krener Assistant Professor at the University of California Davis from 2022 to 2025, mentored by Prof. Matthias Köppe and Prof. Jesús De Loera, and a Postdoctoral Research Associate at the University of Wisconsin-Madison in 2025, mentored by Prof. Alberto Del Pia.

Research Interests

(mixed) integer programming, global optimization, and theories connecting continuous optimization and discrete optimization.

Teaching

• MATH2350  Applied Linear Algebra and Differential Equations

Selected Publications

  Article

1. Gaining or losing perspective for convex multivariate functions on box domains
   • Author(s): Xu, Luze; Lee, Jon
   • Source: Mathematical Programming, v. 211, (1), p. 319-339
   • Year: 2025


2. Extended formulations for the integer hull of strictly Δ-modular cographic polyhedral cones
   • Author(s): Paat, Joseph; Walsh, Zach; Xu, Luze
   • Source: Operations Research Letters, v. 60, article number 107235
   • Year: 2025


3. Good and fast row-sparse ah-symmetric reflexive generalized inverses
   • Author(s): PONTE, GABRIEL; FAMPA, MARCIA; Lee, Jon; XU, Luze
   • Source: Open Journal of Mathematical Optimization, v. 6, p. 1-24, article number 12
   • Year: 2025


4. Improved mixing and pressure loss formulations for gas network optimization
   • Author(s): Kim, Geonhee; Lourenco, Christopher; Skipper, Daphne; Xu, Luze
   • Source: Optimization and Engineering, v. 26, (4), p. 2731-2758
   • Year: 2025


5. Integer points in arbitrary convex cones: the case of the PSD and SOC cones
   • Author(s): De Loera, Jesús A.; Marsters, Brittney; Xu, Luze; Zhang, Shixuan
   • Source: Mathematical Programming
   • Year: 2025


6. On computing sparse generalized inverses
   • Author(s): Ponte, Gabriel; Fampa, Marcia; Lee, Jon; Xu, Luze
   • Source: Operations Research Letters, v. 52, article number 107058
   • Year: 2024


7. Gaining or losing perspective for convex multivariate functions on a simplex
   • Author(s): Xu, Luze; Lee, Jon
   • Source: Journal of Global Optimization, v. 89, (2), p. 379-413
   • Year: 2024


8. ON THE COLUMN NUMBER AND FORBIDDEN SUBMATRICES FOR ∆-MODULAR MATRICES
   • Author(s): Paat, Joseph; Stallknecht, Ingo; Walsh, Zach; Xu, Luze
   • Source: SIAM Journal on Discrete Mathematics, v. 38, (1), p. 1-18
   • Year: 2024


9. Gaining or Losing Perspective for Piecewise-Linear Under-Estimators of Convex Univariate Functions
   • Author(s): Lee, Jon; Skipper, Daphne; Speakman, Emily; Xu, Luze
   • Source: Journal of Optimization Theory and Applications, v. 196, (1), p. 1-35
   • Year: 2023


10. Polynomial upper bounds on the number of differing columns of Δ-modular integer programs
    • Author(s): Lee, Jon; Paat, Joseph; Stallknecht, Ingo; XU, Luze
    • Source: Mathematics of Operations Research
    • Year: 2022


11. Approximate 1-norm minimization and minimum-rank structured sparsity for various generalized inverses via local search
    • Author(s): XU, LUZE; FAMPA, MARCIA; LEE, JON; PONTE, GABRIEL
    • Source: SIAM Journal on Optimization, v. 31, (3), p. 1722-1747
    • Year: 2021


12. Experimental analysis of local searches for sparse reflexive generalized inverses
    • Author(s): Fampa, Marcia; Lee, Jon; Ponte, Gabriel; Xu, Luze
    • Source: Journal of Global Optimization, v. 81, (4), p. 1057-1093
    • Year: 2021


13. More virtuous smoothing
    • Author(s): Xu, Luze; Lee, Jon; Skipper, Daphne
    • Source: SIAM Journal on Optimization, v. 29, (2), p. 1240-1259
    • Year: 2019