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11/22/2021
A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm
CholeskyQR is a simple and fast QR decomposition via Cholesky decomposit...
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02/14/2021
Multi-Level Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data
In scientific machine learning, regression networks have been recently a...
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07/09/2020
A Simple Multiscale Method for Mean Field Games
This paper proposes a multiscale method for solving the numerical soluti...
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11/27/2019
Solving Inverse Wave Scattering with Deep Learning
This paper proposes a neural network approach for solving two classical ...
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11/25/2019
Solving Traveltime Tomography with Deep Learning
This paper introduces a neural network approach for solving two-dimensio...
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11/13/2019
Coarse-Proxy Reduced Basis Methods for Integral Equations
In this paper, we introduce a new reduced basis methodology for accelera...
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11/11/2019
A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry
Linear models for the radiative transfer equation have been well develop...
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10/10/2019
Solving Optical Tomography with Deep Learning
This paper presents a neural network approach for solving two-dimensiona...
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06/16/2019
Meta-learning Pseudo-differential Operators with Deep Neural Networks
This paper introduces a meta-learning approach for parameterized pseudo-...
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06/06/2019
Solving Electrical Impedance Tomography with Deep Learning
This paper introduces a new approach for solving electrical impedance to...
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10/20/2018