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04/12/2023
Group projected Subspace Pursuit for Identification of variable coefficient differential equations (GP-IDENT)
We propose an effective and robust algorithm for identifying partial dif...
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02/16/2023
A Survey of Geometric Optimization for Deep Learning: From Euclidean Space to Riemannian Manifold
Although Deep Learning (DL) has achieved success in complex Artificial I...
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02/06/2023
Solving Maxwell's Equation in 2D with Neural Networks with Local Converging Inputs
In this paper we apply neural networks with local converging inputs (NNL...
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09/01/2022
A ghost-point based second order accurate finite difference method on uniform orthogonal grids for electromagnetic scattering around PEC
We propose a finite difference method to solve Maxwell's equations in ti...
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07/07/2022
Numerical Identification of Nonlocal Potential in Aggregation
Aggregation equations are broadly used to model population dynamics with...
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04/21/2022
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems
In our prior work [arXiv:2109.09316], neural network methods with inputs...
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02/03/2022
SparGE: Sparse Coding-based Patient Similarity Learning via Low-rank Constraints and Graph Embedding
Patient similarity assessment (PSA) is pivotal to evidence-based and per...
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01/28/2022
O-ViT: Orthogonal Vision Transformer
Inspired by the tremendous success of the self-attention mechanism in na...
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12/16/2021
Accuracy Enhancing Interface Treatment Algorithm: the Back and Forth Error Compensation and Correction method
The accuracy of information transmission while solving domain decomposed...
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09/20/2021
Neural Networks with Inputs Based on Domain of Dependence and A Converging Sequence for Solving Conservation Laws, Part I: 1D Riemann Problems
Recent research works for solving partial differential equations (PDEs) ...
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04/29/2021
A Finite Difference Method on Irregular Grids with Local Second Order Ghost Point Extension for Solving Maxwell's Equations Around Curved PEC Objects
A new finite difference method on irregular, locally perturbed rectangul...
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12/19/2020
Dense Multiscale Feature Fusion Pyramid Networks for Object Detection in UAV-Captured Images
Although much significant progress has been made in the research field o...
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06/11/2020