Search Results for author: Yuesheng Xu

Found 6 papers, 0 papers with code

Multi-Grade Deep Learning

no code implementations1 Feb 2023 Yuesheng Xu

Inspired by the human education process which arranges learning in grades, we propose a multi-grade learning model: We successively solve a number of optimization problems of small sizes, which are organized in grades, to learn a shallow neural network for each grade.

Sparse Deep Neural Network for Nonlinear Partial Differential Equations

no code implementations27 Jul 2022 Yuesheng Xu, Taishan Zeng

Noting that DNNs have an intrinsic multi-scale structure which is favorable for adaptive representation of functions, by employing a penalty with multiple parameters, we develop DNNs with a multi-scale sparse regularization (SDNN) for effectively representing functions having certain singularities.

Convergence of Deep Neural Networks with General Activation Functions and Pooling

no code implementations13 May 2022 Wentao Huang, Yuesheng Xu, Haizhang Zhang

In this current work, we study the convergence of deep neural networks as the depth tends to infinity for two other important activation functions: the leaky ReLU and the sigmoid function.

Convergence of Deep Convolutional Neural Networks

no code implementations28 Sep 2021 Yuesheng Xu, Haizhang Zhang

Based on the conditions, we present sufficient conditions for piecewise convergence of general deep ReLU networks with increasing widths, and as well as pointwise convergence of deep ReLU convolutional neural networks.

Convergence of Deep ReLU Networks

no code implementations27 Jul 2021 Yuesheng Xu, Haizhang Zhang

We explore convergence of deep neural networks with the popular ReLU activation function, as the depth of the networks tends to infinity.

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