(* denotes corresponding author)

Selected Publications

• P. Xie* and Stefan M. Wild, “ReMU: Regional Minimal Updating for Model-Based Derivative-Free Optimization”
  2026 Optimization Methods and Software, 1–30 [Link]

• P. Xie* and Ya-xiang Yuan, “A New Derivative-Free Method Using an Improved Under-Determined Quadratic Interpolation Model”
  2025 SIAM Journal on Optimization, 35(2): 1110–1133 [Link]

• P. Xie* and Ya-xiang Yuan, “Least H2 Norm Updating of Quadratic Interpolation Models for Derivative-Free Trust-Region Algorithms”
  2026 IMA Journal of Numerical Analysis, 46(1): 21–50 [Link]

• P. Xie*, “Sufficient Conditions for Distance Reduction Between the Minimizers of Non-Convex Quadratic Functions in the Trust Region”
  2025 Journal of Computational and Applied Mathematics, 453: 116146 [Link]

• P. Xie* and Ya-xiang Yuan, “A New Two-Dimensional Model-Based Subspace Method for Large-Scale Unconstrained Derivative-Free Optimization: 2D-MoSub”
  2026 Optimization Methods and Software, 41(1): 118–150 [Link]

• P. Xie* and Ya-xiang Yuan, “Derivative-Free Optimization with Transformed Objective Functions and the Algorithm Based on the Least Frobenius Norm Updating Quadratic Model”
  2025 Journal of the Operations Research Society of China, 13: 327–363 [Link]

• Lin Li, Yuheng Zhou, P. Xie*, Huiyuan Li, “A Spectral Levenberg-Marquardt-Deflation Method for Multiple Solutions of Semilinear Elliptic Systems”
  2025 Journal of Computational and Applied Mathematics, 475: 116998 [Link]

• Yangyi Ye, Lin Li, P. Xie, and Haijun Yu, “An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains”
  2025 Journal of Computational Mathematics, 44(3): 794–818 [Link]

• Kwassi J. Dzahini, Stefan. M. Wild, and P. Xie, “Optimization Approaches for Solving Inverse Problems under Uncertainty”
  2025 Inverse Methods for Complex Systems under Uncertainty Workshop, U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research [Link]

• P. Xie*, “Ph.D. Thesis: Algorithms and Theory of Derivative-Free Optimization”
  2024 [Full English Version] [Full Version] [Need to access]

• P. Xie* and Ya-xiang Yuan, “A Derivative-Free Optimization Algorithm Combining Line-Search and Trust-Region Techniques”
  2023 Chinese Annals of Mathematics, Series B, 44(5): 693–708 [Link]

• P. Xie*, “The Modeling and Optimization of a Multi-Dam System”
  2024 Applied and Computational Mathematics, 13(5): 140–152 [Link]

• P. Xie* and Molei Tao, “Parametric Resonant Control of Macroscopic Behaviors of Multiple Oscillators”
  2019 American Control Conference (ACC), pp. 1898–1905 [Link]

• P. Xie*, “A Derivative-Free Trust-Region Method for Optimization on the Ellipsoid”
  2023 Journal of Physics: Conference Series, 2620: 012007 [Link]

Selected Preprints

• P. Xie*, “Privacy-Preserving Black-Box Optimization (PBBO): Theory and the Model-Based Algorithm DFOp”
  2025 [Link]

• Lin Li, P. Xie*, Li Zhang, “A Novel Numerical Method Tailored for Unconstrained Optimization Problems”
  2025 [Link]

• P. Xie*, Zihao Zhou, Zijian Zhou, “Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation”
  2025 [Link]

• Yitong He and P. Xie*, “Model-Driven Subspaces for Large-Scale Optimization with Local Approximation Strategy”
  2025 [Link]