Zuoqiang Shi | DeepAI

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∙ 09/19/2023

Γ-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data

We study nonlocal Dirichlet energies associated with a class of nonlocal...

0 Weiye Gan, et al. ∙

∙ 07/23/2023

An axiomatized PDE model of deep neural networks

Inspired by the relation between deep neural network (DNN) and partial d...

0 Tangjun Wang, et al. ∙

∙ 09/30/2022

Point Normal Orientation and Surface Reconstruction by Incorporating Isovalue Constraints to Poisson Equation

Oriented normals are common pre-requisites for many geometric algorithms...

0 Dong Xiao, et al. ∙

∙ 09/06/2022

Semi-Supervised Clustering via Dynamic Graph Structure Learning

Most existing semi-supervised graph-based clustering methods exploit the...

0 Huaming Ling, et al. ∙

∙ 05/16/2022

A scalable deep learning approach for solving high-dimensional dynamic optimal transport

The dynamic formulation of optimal transport has attracted growing inter...

26 Wei Wan, et al. ∙

∙ 04/28/2022

BI-GreenNet: Learning Green's functions by boundary integral network

Green's function plays a significant role in both theoretical analysis a...

7 Guochang Lin, et al. ∙

∙ 04/24/2022

M2N: Mesh Movement Networks for PDE Solvers

Mainstream numerical Partial Differential Equation (PDE) solvers require...

1 Wenbin Song, et al. ∙

∙ 04/14/2022

Unsupervised Deep Learning Meets Chan-Vese Model

The Chan-Vese (CV) model is a classic region-based method in image segme...

7 Dihan Zheng, et al. ∙

∙ 03/28/2022

A nonlocal Stokes system with volume constraints

In this paper, we introduce a nonlocal model for linear steady Stokes sy...

0 Qiang Du, et al. ∙

∙ 03/04/2022

Truncation Error Analysis for an Accurate Nonlocal Manifold Poisson Model with Dirichlet Boundary

In this work, we introduced a class of nonlocal models to accurately app...

0 Yajie Zhang, et al. ∙

∙ 02/10/2022

A non-local gradient based approach of infinity Laplacian with Γ-convergence

We propose an infinity Laplacian method to address the problem of interp...

0 Weiye Gan, et al. ∙

∙ 11/18/2021

Learning Modified Indicator Functions for Surface Reconstruction

Surface reconstruction is a fundamental problem in 3D graphics. In this ...

10 Dong Xiao, et al. ∙

∙ 10/18/2021

Training Deep Neural Networks with Adaptive Momentum Inspired by the Quadratic Optimization

Heavy ball momentum is crucial in accelerating (stochastic) gradient-bas...

14 Tao Sun, et al. ∙

∙ 10/01/2021

BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks

We propose a method combining boundary integral equations and neural net...

0 Guochang Lin, et al. ∙

∙ 05/07/2021

Diff-ResNets for Few-shot Learning – an ODE Perspective

Interpreting deep neural networks from the ordinary differential equatio...

0 Tangjun Wang, et al. ∙

∙ 01/04/2021

A Second-Order Nonlocal Approximation for Surface Poisson Model with Dirichlet Boundary

Partial differential equations on manifolds have been widely studied and...

0 Yajie Zhang, et al. ∙

∙ 12/31/2020

Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud

A generic geometric error analysis framework for numerical solution of P...

0 Guozhi Dong, et al. ∙

∙ 06/10/2020

Interpolation between Residual and Non-Residual Networks

Although ordinary differential equations (ODEs) provide insights for des...

26 Zonghan Yang, et al. ∙

∙ 01/28/2019

CURE: Curvature Regularization For Missing Data Recovery

Missing data recovery is an important and yet challenging problem in ima...

0 Bin Dong, et al. ∙

∙ 11/26/2018

EnResNet: ResNet Ensemble via the Feynman-Kac Formalism

We propose a simple yet powerful ResNet ensemble algorithm which consist...

1 Bao Wang, et al. ∙

∙ 09/23/2018

Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization

We improve the robustness of deep neural nets to adversarial attacks by ...

15 Bao Wang, et al. ∙

∙ 02/01/2018

Deep Learning with Data Dependent Implicit Activation Function

Though deep neural networks (DNNs) achieve remarkable performances in ma...

1 Bao Wang, et al. ∙

∙ 01/31/2018

Weighted Nonlocal Total Variation in Image Processing

In this paper, a novel weighted nonlocal total variation (WNTV) method i...

0 Haohan Li, et al. ∙

∙ 08/21/2017

A Flow Model of Neural Networks

Based on a natural connection between ResNet and transport equation or i...

0 Zhen Li, et al. ∙

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