Xiaoliang Wan

J. Sci. Comput., March, 2025

Integral regularization PINNs for evolution equations.

[BibT_eX]

[DOI]

CoRR, March, 2025

Estimating Committor Functions via Deep Adaptive Sampling on Rare Transition Paths.

[BibT_eX]

[DOI]

CoRR, January, 2025

2024

Deep Adaptive Sampling for Surrogate Modeling Without Labeled Data.

[BibT_eX]

[DOI]

J. Sci. Comput., December, 2024

A hybrid FEM-PINN method for time-dependent partial differential equations.

[BibT_eX]

[DOI]

CoRR, 2024

Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs.

[BibT_eX]

[DOI]

Proceedings of the Twelfth International Conference on Learning Representations, 2024

2023

Adaptive Deep Density Approximation for Fractional Fokker-Planck Equations.

[BibT_eX]

[DOI]

Li Zeng

Tao Zhou

J. Sci. Comput., December, 2023

DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations.

[BibT_eX]

[DOI]

Chao Yang

J. Comput. Phys., March, 2023

Adaptive importance sampling for Deep Ritz.

[BibT_eX]

[DOI]

Tao Zhou

Yuancheng Zhou

CoRR, 2023

Bounded KRnet and its applications to density estimation and approximation.

[BibT_eX]

[DOI]

Li Zeng

Tao Zhou

CoRR, 2023

Dimension-reduced KRnet maps for high-dimensional Bayesian inverse problems.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Adaptive deep density approximation for Fokker-Planck equations.

[BibT_eX]

[DOI]

Qifeng Liao

J. Comput. Phys., 2022

2021

A Minimum Action Method for Dynamical Systems with Constant Time Delays.

[BibT_eX]

[DOI]

Jiayu Zhai

SIAM J. Sci. Comput., 2021

DAS: A deep adaptive sampling method for solving partial differential equations.

[BibT_eX]

[DOI]

Chao Yang

CoRR, 2021

Augmented KRnet for density estimation and approximation.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Coupling the reduced-order model and the generative model for an importance sampling estimator.

[BibT_eX]

[DOI]

Shuangqing Wei

J. Comput. Phys., 2020

VAE-KRnet and its applications to variational Bayes.

[BibT_eX]

[DOI]

Shuangqing Wei

CoRR, 2020

2018

Asymptotically Efficient Simulation of Elliptic Problems with Small Random Forcing.

[BibT_eX]

[DOI]

Xiang Zhou

SIAM J. Sci. Comput., 2018

Convergence Analysis of a Finite Element Approximation of Minimum Action Methods.

[BibT_eX]

[DOI]

Haijun Yu

Jiayu Zhai

SIAM J. Numer. Anal., 2018

2017

A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations.

[BibT_eX]

[DOI]

Haijun Yu

J. Comput. Phys., 2017

2013

The Wick-Malliavin Approximation of Elliptic Problems with Log-Normal Random Coefficients.

[BibT_eX]

[DOI]

Boris L. Rozovskii

SIAM J. Sci. Comput., 2013

Hybrid parallel computing of minimum action method.

[BibT_eX]

[DOI]

Guang Lin

Parallel Comput., 2013

A minimum action method for small random perturbations of two-dimensional parallel shear flows.

[BibT_eX]

[DOI]

J. Comput. Phys., 2013

2011

An adaptive high-order minimum action method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2011

2008

The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications.

[BibT_eX]

[DOI]

Jasmine Foo

J. Comput. Phys., 2008

2007

Stochastic Computational Fluid Mechanics.

[BibT_eX]

[DOI]

Guang Lin

Chau-Hsing Su

Comput. Sci. Eng., 2007

2006

Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

Beyond Wiener-Askey Expansions: Handling Arbitrary PDFs.

[BibT_eX]

[DOI]

J. Sci. Comput., 2006

A sharp error estimate for the fast Gauss transform.

[BibT_eX]

[DOI]

J. Comput. Phys., 2006

2004

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation.

[BibT_eX]

[DOI]

Dongbin Xiu