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  2025 (7)
ReMU: Regional Minimal Updating for Model-Based Derivative-Free Optimization. Xie, P.; and Wild, S. M. 2025.
ReMU: Regional Minimal Updating for Model-Based Derivative-Free Optimization [link]Paper   link   bibtex   1 download  
A novel numerical method tailored for unconstrained optimization problems. Li, L.; Xie, P.; and Zhang, L. 2025.
A novel numerical method tailored for unconstrained optimization problems [link]Paper   link   bibtex  
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms. Xie, P.; and Yuan, Y. IMA Journal of Numerical Analysis,drae106. 03 2025.
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms [link]Paper   doi   link   bibtex   abstract  
A spectral Levenberg-Marquardt-Deflation method for multiple solutions of semilinear elliptic systems. Li, L.; Zhou, Y.; Xie, P.; and Li, H. 2025.
A spectral Levenberg-Marquardt-Deflation method for multiple solutions of semilinear elliptic systems [link]Paper   link   bibtex  
An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains. Ye, Y.; Li, L.; Xie, P.; and Yu, H. 2025.
An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains [link]Paper   link   bibtex  
A new derivative-free method using an improved under-determined quadratic interpolation model. Xie, P.; and Yuan, Y. SIAM Journal on Optimization. 2025.
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Sufficient conditions for error distance reduction in the ℓ2-norm trust region between minimizers of local nonconvex multivariate quadratic approximates. Xie, P. Journal of Computational and Applied Mathematics, 453: 116146. 2025.
Sufficient conditions for error distance reduction in the ℓ2-norm trust region between minimizers of local nonconvex multivariate quadratic approximates [link]Paper   doi   link   bibtex   abstract   19 downloads  
  2024 (7)
Barycenter of Weight Coefficient Region of Least Weighted $H^2$ Norm Updating Quadratic Models with Vanishing Trust-region Radius. Xie, P.; and Wild, S. M. SIAM NCC 2024, Early Career Travel Award. 2024.
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A Novel Local Analysis of Objectives Approximated by Neural Network: L-Change. Pengcheng Xie, e. 2024.
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On the Relationship between $Λ$-poisedness in Derivative-Free Optimization and Outliers in Local Outlier Factor. Xie, P. 2024.
On the Relationship between $Λ$-poisedness in Derivative-Free Optimization and Outliers in Local Outlier Factor [link]Paper   link   bibtex  
A Low Computation Cost Cubic Regularized Quasi-Newton Method for Distributed Optimization: LC3RQN. Hu, W.; Xie, P.; Zhang, L.; and Yuan, Y. . 2024.
A Low Computation Cost Cubic Regularized Quasi-Newton Method for Distributed Optimization: LC3RQN [pdf]Paper   link   bibtex   21 downloads  
An efficient derivative-free method for finding multiple solutions. 2024. To be posted on arXiv
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A note on the invariant distribution of a stochastic dynamical system. Xie, P. 2024.
A note on the invariant distribution of a stochastic dynamical system [link]Paper   doi   link   bibtex  
The Modeling and Optimization of a Multi-dam System. Xie, P. Applied and Computational Mathematics, 13(5): 140-152. 2024.
The Modeling and Optimization of a Multi-dam System [link]Paper   doi   link   bibtex   abstract  
  2023 (4)
A new two-dimensional model-based subspace method for large-scale unconstrained derivative-free optimization: 2D-MoSub. Xie, P.; and Yuan, Y. . 2023. Under review
A new two-dimensional model-based subspace method for large-scale unconstrained derivative-free optimization: 2D-MoSub [pdf]Paper   doi   link   bibtex   7 downloads  
Derivative-free optimization with transformed objective functions (DFOTO) and the algorithm based on the least Frobenius norm updating quadratic model. Xie, P.; and Yuan, Y. Journal of the Operations Research Society of China. 2023.
Derivative-free optimization with transformed objective functions (DFOTO) and the algorithm based on the least Frobenius norm updating quadratic model [link]Paper   link   bibtex   4 downloads  
A derivative-free optimization algorithm combining line-search and trust-region techniques. Xie, P.; and Yuan, Y. Chinese Annals of Mathematics, Series B, 44(5): 719-734. 2023.
A derivative-free optimization algorithm combining line-search and trust-region techniques [link]1   A derivative-free optimization algorithm combining line-search and trust-region techniques [link]2   A derivative-free optimization algorithm combining line-search and trust-region techniques [link]3   link   bibtex   5 downloads  
A derivative-free trust-region method for optimization on the ellipsoid. Xie, P. Journal of Physics: Conference Series, 2620: 012007. 2023. Presented in 2023 International Conference on Advances in Computer Science and Engineering Technology (ACSE2023)
A derivative-free trust-region method for optimization on the ellipsoid [link]Paper   link   bibtex   3 downloads  
  2021 (1)
Simulation of interaction of folded waveguide space traveling wave tubes with derivative-free mixed-integer based NEWUOA algorithm. Li, S.; Xie, P.; and Z. Zhou, e. a. In 2021 7th International Conference on Computer and Communications (ICCC), pages 1215–1219, 2021.
Simulation of interaction of folded waveguide space traveling wave tubes with derivative-free mixed-integer based NEWUOA algorithm [link]Paper   doi   link   bibtex  
  2019 (1)
Parametric resonant control of macroscopic behaviors of multiple oscillators. Xie, P.; and Tao, M. In 2019 American Control Conference (ACC), pages 1898–1905, 2019.
Parametric resonant control of macroscopic behaviors of multiple oscillators [link]Paper   doi   link   bibtex   4 downloads