Journal Publications

• Zhuoyu Xiao and Jane J. Ye. Optimality conditions and constraint qualifications for cardinality constrained optimization problems. Numerical Algebra, Control and Optimization, (14) 2024, pp. 614–635.

Conference Publications

• Zhuoyu Xiao and Uday V. Shanbhag. Computing quasi-Nash equilibria via gradient-response schemes. The 7th Annual Learning for Dynamics & Control Conference, (283) 2025, pp. 881-893.
• Zhuoyu Xiao, Uday V. Shanbhag and Yue Xie. A parameter-free extragradient scheme with linesearch for solving stochastic pseudomonotone variational inequalities. Submitted to The 65th IEEE Conference on Decision and Control (CDC), 2026.

Preprints

• Zhuoyu Xiao and Uday V. Shanbhag. Computing equilibria in stochastic nonconvex and non-monotone games via gradient-response schemes. arXiv:2504.14056, 2025. Major revision at SIAM Journal on Optimization.
• Zhuoyu Xiao. Smoothing-enabled randomized stochastic gradient schemes for solving nonconvex nonsmooth potential games under uncertainty. arXiv:2602.19325, 2026. To be submitted to Mathematics of Operations Research.
• Zhuoyu Xiao and Uday V. Shanbhag. Equilibrium invariance, proximality, and surrogation: Moreau-smoothed best-response pathways in stochastic nonsmooth games. arXiv:2603.00934, 2026. To be submitted to SIAM Journal on Optimization.

Working Papers

• Zhuoyu Xiao, Uday V. Shanbhag and Yue Xie. Extragradient and gradient methods with linesearch for solving stochastic variational inequalities. 2026.
• Zhuoyu Xiao. Solving stochastic variational inequalities under hidden monotonicity. 2026+.