Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients. - Howard C. Elman; Qifeng Liao (SIAM/ASA J. Uncertain. Quantification, 2013)

A Domain Decomposition Approach for Uncertainty Analysis. - Qifeng Liao; Karen Willcox (SIAM J. Sci. Comput., 2015)

Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. - Qifeng Liao; Guang Lin 001 (J. Comput. Phys., 2016)

A Hierarchical Neural Hybrid Method for Failure Probability Estimation. - Ke Li 039; Kejun Tang; Jinglai Li; Tianfan Wu; Qifeng Liao (IEEE Access, 2019)

D3M: A deep domain decomposition method for partial differential equations. - Ke Li; Kejun Tang; Tianfan Wu; Qifeng Liao (CoRR, 2019)

ANOVA Gaussian process modeling for high-dimensional stochastic computational models. - Chen Chen; Qifeng Liao (CoRR, 2019)

An adaptive reduced basis ANOVA method for high-dimensional Bayesian inverse problems. - Qifeng Liao; Jinglai Li (J. Comput. Phys., 2019)

D3M: A Deep Domain Decomposition Method for Partial Differential Equations. - Ke Li 039; Kejun Tang; Tianfan Wu; Qifeng Liao (IEEE Access, 2020)

Tensor Train Random Projection. - Yani Feng; Kejun Tang; Lianxing He; Pingqiang Zhou; Qifeng Liao (CoRR, 2020)

Gaussian Process Based Expected Information Gain Computation for Bayesian Optimal Design. - Zhihang Xu; Qifeng Liao (Entropy, 2020)

ANOVA Gaussian process modeling for high-dimensional stochastic computational models. - Chen Chen 080; Qifeng Liao (J. Comput. Phys., 2020)

Rank adaptive tensor recovery based model reduction for partial differential equations with high-dimensional random inputs. - Kejun Tang; Qifeng Liao (J. Comput. Phys., 2020)

Deep neural network based adaptive learning for switched systems. - Junjie He; Zhihang Xu; Qifeng Liao (CoRR, 2022)

Adaptive deep density approximation for Fokker-Planck equations. - Kejun Tang; Xiaoliang Wan; Qifeng Liao (J. Comput. Phys., 2022)

A Stochastic Discrete Empirical Interpolation Approach for Parameterized Systems. - Daheng Cai; Chengbin Yao; Qifeng Liao (Symmetry, 2022)

A domain-decomposed VAE method for Bayesian inverse problems. - Zhihang Xu; Yingzhi Xia; Qifeng Liao (CoRR, 2023)

Streaming probabilistic tensor train decomposition. - Yunyu Huang; Yani Feng; Qifeng Liao (CoRR, 2023)

Dimension-reduced KRnet maps for high-dimensional Bayesian inverse problems. - Yani Feng; Kejun Tang; Xiaoliang Wan; Qifeng Liao (CoRR, 2023)

An adaptive ANOVA stochastic Galerkin method for partial differential equations with random inputs. - Guanjie Wang; Smita Sahu; Qifeng Liao (CoRR, 2023)

A deep domain decomposition method based on Fourier features. - Sen Li; Yingzhi Xia; Yu Liu; Qifeng Liao (J. Comput. Appl. Math., 2023)

Rank-Adaptive Tensor Completion Based on Tucker Decomposition. - Siqi Liu; Xiaoyu Shi; Qifeng Liao (Entropy, 2023)

Robin-type domain decomposition with stabilized mixed approximation for incompressible flow. - Yani Feng; Qifeng Liao; David J. Silvester (Comput. Math. Appl., 2023)

VI-DGP: A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems. - Yingzhi Xia; Qifeng Liao; Jinglai Li (J. Sci. Comput., 2023)

An alternating low-rank projection approach for partial differential equations with random inputs. - Guanjie Wang; Qifeng Liao (CoRR, 2024)

Domain-decomposed Bayesian inversion based on local Karhunen-Loève expansions. - Zhihang Xu; Qifeng Liao; Jinglai Li (J. Comput. Phys., 2024)

An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs. - Guanjie Wang; Smita Sahu; Qifeng Liao (J. Sci. Comput., 2024)

Reduced basis stochastic Galerkin methods for partial differential equations with random inputs. - Guanjie Wang; Qifeng Liao (Appl. Math. Comput., 2024)

D-LUT: Photorealistic Style Transfer via Diffusion Process. - Mujing Li; Guanjie Wang; Xingguang Zhang; Qifeng Liao; Chenxi Xiao (WACV, 2025)

A conditional normalizing flow for domain decomposed uncertainty quantification. - Sen Li; Ke Li; Yu Liu; Qifeng Liao (J. Comput. Appl. Math., 2025)

Adaptive Deep Density Approximation for Stochastic Dynamical Systems. - Junjie He; Qifeng Liao; Xiaoliang Wan (J. Sci. Comput., 2025)