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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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10/21/2020
Tensor Train Random Projection
This work proposes a novel tensor train random projection (TTRP) method ...
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09/24/2019
D3M: A deep domain decomposition method for partial differential equations
A state-of-the-art deep domain decomposition method (D3M) based on the v...
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08/03/2019