Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. - Xiu Yang; Minseok Choi; Guang Lin 001; George E. Karniadakis (J. Comput. Phys., 2012)

Reweighted ℓ1ℓ1 minimization method for stochastic elliptic differential equations. - Xiu Yang; George E. Karniadakis (J. Comput. Phys., 2013)

Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem. - Zhongqiang Zhang; Xiu Yang; Guang Lin 001; George E. Karniadakis (J. Comput. Phys., 2013)

Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques. - Zheng Zhang 005; Xiu Yang; Giovanni Marucci; Paolo Maffezzoni; Ibrahim Abe M. Elfadel; George E. Karniadakis; Luca Daniel (CICC, 2014)

Constructing Surrogate Models of Complex Systems with Enhanced Sparsity: Quantifying the Influence of Conformational Uncertainty in Biomolecular Solvation. - Huan Lei; Xiu Yang; Bin Zheng; Guang Lin 001; Nathan A. Baker (Multiscale Model. Simul., 2015)

Algorithms for Propagating Uncertainty Across Heterogeneous Domains. - Heyrim Cho; Xiu Yang; Daniele Venturi 002; George E. Karniadakis (SIAM J. Sci. Comput., 2015)

Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition. - Zheng Zhang 005; Xiu Yang; Ivan V. Oseledets; George E. Karniadakis; Luca Daniel (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2015)

Enhancing sparsity of Hermite polynomial expansions by iterative rotations. - Xiu Yang; Huan Lei; Nathan A. Baker; Guang Lin 001 (J. Comput. Phys., 2016)

Systematic parameter inference in stochastic mesoscopic modeling. - Huan Lei; Xiu Yang; Zhen Li 003; George E. Karniadakis (J. Comput. Phys., 2017)

A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem. - Hui Zhang 054; Xiaoyun Jiang; Xiu Yang (Appl. Math. Comput., 2018)

Numerical analysis for electroosmotic flow of fractional Maxwell fluids. - Xiu Yang; Haitao Qi 001; Xiaoyun Jiang (Appl. Math. Lett., 2018)

Physics-Informed Kriging: A Physics-Informed Gaussian Process Regression Method for Data-Model Convergence. - Xiu Yang; Guzel Tartakovsky; Alexandre M. Tartakovsky (CoRR, 2018)

Sliced-Inverse-Regression-Aided Rotated Compressive Sensing Method for Uncertainty Quantification. - Xiu Yang; Weixuan Li; Alexandre M. Tartakovsky (SIAM/ASA J. Uncertain. Quantification, 2018)

Engineering structural robustness in power grid networks susceptible to community desynchronization. - Daniel Dylewsky; Xiu Yang; Alexandre M. Tartakovsky; J. Nathan Kutz (Appl. Netw. Sci., 2019)

Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution. - Xiu Yang; Xiaoyun Jiang (Comput. Math. Appl., 2019)

Physics-informed CoKriging: A Gaussian-process-regression-based multifidelity method for data-model convergence. - Xiu Yang; David A. Barajas-Solano; Guzel Tartakovsky; Alexandre M. Tartakovsky (J. Comput. Phys., 2019)

Density matrix quantum circuit simulation via the BSP machine on modern GPU clusters. - Ang Li 006; Omer Subasi; Xiu Yang; Sriram Krishnamoorthy (SC, 2020)

Nonnegativity-Enforced Gaussian Process Regression. - Andrew Pensoneault; Xiu Yang; Xueyu Zhu (CoRR, 2020)

Multifidelity Data Fusion via Gradient-Enhanced Gaussian Process Regression. - Yixiang Deng; Guang Lin; Xiu Yang (CoRR, 2020)

A Bayesian Approach for Characterizing and Mitigating Gate and Measurement Errors. - Muqing Zheng; Ang Li; Tamás Terlaky; Xiu Yang (CoRR, 2020)

Learning Coarse-Grained Potentials for Binary Fluids. - Peiyuan Gao; Xiu Yang; Alexandre M. Tartakovsky (J. Chem. Inf. Model., 2020)

When Bifidelity Meets CoKriging: An Efficient Physics-Informed MultiFidelity Method. - Xiu Yang; Xueyu Zhu; Jing Li (SIAM J. Sci. Comput., 2020)

Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid. - Li-Bin Liu; Xiu Yang (Appl. Math. Lett., 2021)

A Physics-Informed Neural Network Framework For Partial Differential Equations on 3D Surfaces: Time-Dependent Problems. - Zhiwei Fang; Justin Z. Zhan; Xiu Yang (CoRR, 2021)

Graphical Gaussian Process Regression Model for Aqueous Solvation Free Energy Prediction of Organic Molecules in Redox Flow Battery. - Peiyuan Gao; Xiu Yang; Yu-Hang Tang; Muqing Zheng; Amity Anderson; Vijayakumar Murugesan; Aaron Hollas; Wei Wang (CoRR, 2021)

Physics Information Aided Kriging using Stochastic Simulation Models. - Xiu Yang; Guzel Tartakovsky; Alexandre M. Tartakovsky (SIAM J. Sci. Comput., 2021)

A Quantum-Inspired Hamiltonian Monte Carlo Method for Missing Data Imputation. - Didem Kochan; Zheng Zhang 005; Xiu Yang (MSML, 2022)

A Meshfree Peridynamic Model for Brittle Fracture in Randomly Heterogeneous Materials. - Yiming Fan; Huaiqian You; Xiaochuan Tian; Xiu Yang; Xingjie Li 001; Naveen Prakash; Yue Yu (CoRR, 2022)

Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator. - Bian Li; Hanchen Wang 003; Xiu Yang; Youzuo Lin (CoRR, 2022)

An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems. - Yiming Fan; Xiaochuan Tian; Xiu Yang; Xingjie Li 001; Clayton Webster; Yue Yu (J. Comput. Phys., 2022)

A General Framework of Rotational Sparse Approximation in Uncertainty Quantification. - Mengqi Hu; Yifei Lou; Xiu Yang (SIAM/ASA J. Uncertain. Quantification, 2022)

Solving Seismic Wave Equations on Variable Velocity Models With Fourier Neural Operator. - Bian Li; Hanchen Wang 003; Shihang Feng; Xiu Yang; Youzuo Lin (IEEE Trans. Geosci. Remote. Sens., 2023)

An Inexact Feasible Quantum Interior Point Method for Linearly Constrained Quadratic Optimization. - Zeguan Wu; Mohammadhossein Mohammadisiahroudi; Brandon Augustino; Xiu Yang; Tamás Terlaky (Entropy, 2023)

Accelerated Sparse Recovery via Gradient Descent with Nonlinear Conjugate Gradient Momentum. - Mengqi Hu; Yifei Lou; Bao Wang 001; Ming Yan 006; Xiu Yang; Qiang Ye 003 (J. Sci. Comput., 2023)

Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. - Xiu Yang; Li-Lian Wang; Huiyuan Li; Changtao Sheng (J. Sci. Comput., 2023)

The Adaptive Spectral Koopman Method for Dynamical Systems. - Bian Li; Yi-An Ma; J. Nathan Kutz; Xiu Yang (SIAM J. Appl. Dyn. Syst., 2023)

An Efficient Quantum Algorithm for Linear System Problem in Tensor Format. - Zeguan Wu; Sidhant Misra; Tamás Terlaky; Xiu Yang; Marc Vuffray (CoRR, 2024)

Gaussian Process Regression with Soft Inequality and Monotonicity Constraints. - Didem Kochan; Xiu Yang (CoRR, 2024)

The Sparse-Grid-Based Adaptive Spectral Koopman Method. - Bian Li; Yue Yu; Xiu Yang (SIAM J. Sci. Comput., 2024)

Quantum DeepONet: Neural operators accelerated by quantum computing. - Pengpeng Xiao; Muqing Zheng; Anran Jiao; Xiu Yang; Lu Lu 010 (Quantum, 2025)