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05/30/2023
Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs
Solving partial differential equations (PDEs) is a central task in scien...
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03/01/2023
Dimension-reduced KRnet maps for high-dimensional Bayesian inverse problems
We present a dimension-reduced KRnet map approach (DR-KRnet) for high-di...
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12/28/2021
DAS: A deep adaptive sampling method for solving partial differential equations
In this work we propose a deep adaptive sampling (DAS) method for solvin...
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05/26/2021
Augmented KRnet for density estimation and approximation
In this work, we have proposed augmented KRnets including both discrete ...
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03/20/2021
Adaptive deep density approximation for Fokker-Planck equations
In this paper we present a novel adaptive deep density approximation str...
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06/29/2020
VAE-KRnet and its applications to variational Bayes
In this work, we have proposed a generative model for density estimation...
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01/23/2019
Coupling the reduced-order model and the generative model for an importance sampling estimator
In this work, we develop an importance sampling estimator by coupling th...
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07/10/2017