Juncai He

Orcid: 0000-0001-7311-2626

According to our database1, Juncai He authored at least 21 papers between 2018 and 2024.

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Bibliography

2024
Data-induced multiscale losses and efficient multirate gradient descent schemes.
CoRR, 2024

Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss.
CoRR, 2024

2023
An interpretive constrained linear model for ResNet and MgNet.
Neural Networks, May, 2023

FV-MgNet: Fully connected V-cycle MgNet for interpretable time series forecasting.
J. Comput. Sci., May, 2023

Fast Area Optimization Approach for XNOR/OR-based Fixed Polarity Reed-Muller Logic Circuits based on Multi-strategy Wolf Pack Algorithm.
ACM Trans. Design Autom. Electr. Syst., 2023

Expressivity and Approximation Properties of Deep Neural Networks with ReLU<sup>k</sup> Activation.
CoRR, 2023

Deep Neural Networks and Finite Elements of Any Order on Arbitrary Dimensions.
CoRR, 2023

MgNO: Efficient Parameterization of Linear Operators via Multigrid.
CoRR, 2023

On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem.
CoRR, 2023

An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations.
CoRR, 2023

Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions.
Proceedings of the Topological, 2023

2022
Power series expansion neural network.
J. Comput. Sci., 2022

Side-effects of Learning from Low Dimensional Data Embedded in an Euclidean Space.
CoRR, 2022

ReLU deep neural networks from the hierarchical basis perspective.
Comput. Math. Appl., 2022

A weight initialization based on the linear product structure for neural networks.
Appl. Math. Comput., 2022

2021
Approximation Properties of Deep ReLU CNNs.
CoRR, 2021

2020
Make ℓ <sub>1</sub> regularization effective in training sparse CNN.
Comput. Optim. Appl., 2020

2019
Generalized Gaffney inequality and discrete compactness for discrete differential forms.
Numerische Mathematik, 2019

Constrained Linear Data-feature Mapping for Image Classification.
CoRR, 2019

MgNet: A Unified Framework of Multigrid and Convolutional Neural Network.
CoRR, 2019

2018
Modified Regularized Dual Averaging Method for Training Sparse Convolutional Neural Networks.
CoRR, 2018


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