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Sparse Deep Neural Network for Nonlinear Partial Differential Equations

Numerical Mathematics: Theory, Methods and Applications, 2023-02, Vol.16 (1), p.58-78

2023

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Deeply learning deep inelastic scattering kinematics

The European physical journal. C, Particles and fields, 2022-11, Vol.82 (11), p.1064-16, Article 1064

2022

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Proximity algorithms for image models: denoising

Inverse problems, 2011-04, Vol.27 (4), p.045009

2011

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Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data

Applied and computational harmonic analysis, 2019-05, Vol.46 (3), p.569-623

2019

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A Super Fast Algorithm for Estimating Sample Entropy

Entropy (Basel, Switzerland), 2022-04, Vol.24 (4), p.524

2022

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Sparse machine learning in Banach spaces

Applied numerical mathematics, 2023-05, Vol.187, p.138-157

Xu, Yuesheng

2023

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Convergence of deep convolutional neural networks

Neural networks, 2022-09, Vol.153, p.553-563

2022

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Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction

Inverse problems, 2012-11, Vol.28 (11), p.115005-34

2012

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Fabrication and Actuation Performance of Selective Laser Melting Additive-Manufactured Active Shape-Memory Alloy Honeycomb Arrays

Actuators, 2022-09, Vol.11 (9), p.242

2022

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Higher-order finite volume methods for elliptic boundary value problems

Advances in computational mathematics, 2012-08, Vol.37 (2), p.191-253

2012

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Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths

IEEE transactions on information theory, 2024-10, Vol.70 (10), p.7125-7142

2024

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On the generalization discrepancy of spatiotemporal dynamics-informed graph convolutional networks

Frontiers in mechanical engineering, 2024-07, Vol.10

2024

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Convergence of deep ReLU networks

Neurocomputing (Amsterdam), 2024-02, Vol.571, p.127174, Article 127174

2024

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Sparse regularization with the ℓ0 norm

Analysis and applications, 2023-07, Vol.21 (4), p.901-929

Xu, Yuesheng

2023

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Fast Fourier–Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition

Journal of computational and applied mathematics, 2010-09, Vol.234 (9), p.2792-2807

2010

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Multiscale Methods for Fredholm Integral Equations

1, 2015

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REDUCING STAIRCASING ARTIFACTS IN SPECT RECONSTRUCTION BY AN INFIMAL CONVOLUTION REGULARIZATION

Journal of computational mathematics, 2016-11, Vol.34 (6), p.626-647

2016

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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

Memoirs of the American Mathematical Society, 2019-03, Vol.258 (1243)

2019

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A construction of higher-order finite volume methods

Mathematics of computation, 2015-03, Vol.84 (292), p.599-628

2015

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Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors

IEEE transactions on circuits and systems. 1, Fundamental theory and applications, 2007-08, Vol.54 (8), p.1788-1799

2007

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High speed BLASTN: an accelerated MegaBLAST search tool

Nucleic acids research, 2015-09, Vol.43 (16), p.7762-7768

2015

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The Bedrosian identity for the Hilbert transform of product functions

Proceedings of the American Mathematical Society, 2006-09, Vol.134 (9), p.2719-2728

2006

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A proximity algorithm accelerated by Gauss-Seidel iterations for L1 TV denoising models

Inverse problems, 2012-09, Vol.28 (9), p.95003-20

2012

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Computing highly oscillatory integrals

Mathematics of computation, 2018-01, Vol.87 (309), p.309-345

2018

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Regularization in a functional reproducing kernel Hilbert space

Journal of Complexity, 2021-10, Vol.66, p.101567, Article 101567

2021

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Sparse Deep Neural Network for Nonlinear Partial Differential Equations

Deeply learning deep inelastic scattering kinematics

Proximity algorithms for image models: denoising

Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data

A Super Fast Algorithm for Estimating Sample Entropy

Sparse machine learning in Banach spaces

Convergence of deep convolutional neural networks

Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction

Fabrication and Actuation Performance of Selective Laser Melting Additive-Manufactured Active Shape-Memory Alloy Honeycomb Arrays

Higher-order finite volume methods for elliptic boundary value problems

Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths

On the generalization discrepancy of spatiotemporal dynamics-informed graph convolutional networks

Convergence of deep ReLU networks

Sparse regularization with the ℓ0 norm

Fast Fourier–Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition

Multiscale Methods for Fredholm Integral Equations

REDUCING STAIRCASING ARTIFACTS IN SPECT RECONSTRUCTION BY AN INFIMAL CONVOLUTION REGULARIZATION

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

A construction of higher-order finite volume methods

Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors

High speed BLASTN: an accelerated MegaBLAST search tool

The Bedrosian identity for the Hilbert transform of product functions

A proximity algorithm accelerated by Gauss-Seidel iterations for L1 TV denoising models

Computing highly oscillatory integrals

Regularization in a functional reproducing kernel Hilbert space

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