Search Results - "Xu, Yuesheng"
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Deeply learning deep inelastic scattering kinematics
Published in The European physical journal. C, Particles and fields (01-11-2022)“…We study the use of deep learning techniques to reconstruct the kinematics of the neutral current deep inelastic scattering (DIS) process in electron–proton…”
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A Super Fast Algorithm for Estimating Sample Entropy
Published in Entropy (Basel, Switzerland) (08-04-2022)“…Sample entropy, an approximation of the Kolmogorov entropy, was proposed to characterize complexity of a time series, which is essentially defined as…”
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Fabrication and Actuation Performance of Selective Laser Melting Additive-Manufactured Active Shape-Memory Alloy Honeycomb Arrays
Published in Actuators (01-09-2022)“…Shape-memory alloy (SMA) honeycomb arrays have drawn worldwide attention for their potential active applications in smart morphing wings. However, the…”
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On the generalization discrepancy of spatiotemporal dynamics-informed graph convolutional networks
Published in Frontiers in mechanical engineering (12-07-2024)“…Graph neural networks (GNNs) have gained significant attention in diverse domains, ranging from urban planning to pandemic management. Ensuring both accuracy…”
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REDUCING STAIRCASING ARTIFACTS IN SPECT RECONSTRUCTION BY AN INFIMAL CONVOLUTION REGULARIZATION
Published in Journal of computational mathematics (01-11-2016)“…The purpose of this paper is to investigate the ability of the infimal convolution regular- ization in curing the staircasing artifacts of the TV model in the…”
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Fast Fourier–Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition
Published in Journal of computational and applied mathematics (01-09-2010)“…We develop a fast fully discrete Fourier–Galerkin method for solving a class of singular boundary integral equations. We prove that the number of…”
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7
Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors
Published in IEEE transactions on circuits and systems. I, Regular papers (01-08-2007)“…We propose multi-parameter regularization methods for high-resolution image reconstruction which is described by an ill-posed problem. The regularization…”
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The Bedrosian identity for the Hilbert transform of product functions
Published in Proceedings of the American Mathematical Society (01-09-2006)“…We investigate a necessary and sufficient condition which ensures validity of the Bedrosian identity for the Hilbert transform of a product function fg…”
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Sparse machine learning in Banach spaces
Published in Applied numerical mathematics (01-05-2023)“…The aim of this expository paper is to explain to graduate students and beginning researchers in the field of mathematics, statistics and engineering the…”
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Convergence of deep convolutional neural networks
Published in Neural networks (01-09-2022)Get full text
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Deterministic convergence of an online gradient method for BP neural networks
Published in IEEE transactions on neural networks (01-05-2005)“…Online gradient methods are widely used for training feedforward neural networks. We prove in this paper a convergence theorem for an online gradient method…”
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Higher-order finite volume methods for elliptic boundary value problems
Published in Advances in computational mathematics (01-08-2012)Get full text
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A construction of higher-order finite volume methods
Published in Mathematics of computation (01-03-2015)“…We provide a method for the construction of higher-order finite volume methods (FVMs) for solving boundary value problems of the two dimensional elliptic…”
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Fourier Spectrum Characterization of Hardy Spaces and Applications
Published in Proceedings of the American Mathematical Society (01-03-2009)“…We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces $H^{p}({\Bbb C}_{\pm}),1\leq p\leq \infty $. As an…”
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Computing highly oscillatory integrals
Published in Mathematics of computation (01-01-2018)“…We develop two classes of composite moment-free numerical quadratures for computing highly oscillatory integrals having integrable singularities and stationary…”
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Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths
Published in IEEE transactions on information theory (01-10-2024)“…We consider deep neural networks (DNNs) with a Lipschitz continuous activation function and with weight matrices of variable widths. We establish a uniform…”
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17
Hybrid collocation methods for Fredholm integral equations with weakly singular kernels
Published in Applied numerical mathematics (01-05-2007)“…A hybrid collocation method for Volterra integral equations with weakly singular kernels was developed in [Y. Cao, T. Herdman, Y. Xu, A hybrid collocation…”
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Journal Article Conference Proceeding -
18
Convergence of deep ReLU networks
Published in Neurocomputing (Amsterdam) (28-02-2024)Get full text
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Minimizing Compositions of Functions Using Proximity Algorithms with Application in Image Deblurring
Published in Frontiers in applied mathematics and statistics (22-09-2016)“…We consider minimization of functions that are compositions of functions having closed-form proximity operators with linear transforms. A wide range of image…”
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Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs
Published in Science China. Mathematics (2010)“…We propose a fully discrete fast Fourier-Galerkin method for solving an integral equation of the first kind with a logarithmic kernel on a smooth open arc,…”
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