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Yuchen Xie

affiliation not provided to SSRN

  • affiliation not provided to SSRN

SCHOLARLY PAPERS

4

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206

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0

Scholarly Papers (4)

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1.

Physics-Specialized Neural Network with Hard Constraints for Solving Multi-Material Diffusion Problems

Number of pages: 43 Posted: 11 Apr 2024
Yuchen Xie, Honghang Chi, Yahui Wang and Yu Ma
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 103 (694,528)

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Physics-informed neural network, Multi-material diffusion, Hard constraints, deep learning

2.

Neural Tangent Kernel Theory for Hard-Constrained Physics-Informed Neural Networks: Part I - Theoretical Framework and Validation

Number of pages: 90 Posted: 24 Dec 2025
Yuchen Xie, Honghang Chi, Haopeng QUAN, Yahui Wang, Wei WANG and Yu Ma
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 45 (1,170,409)

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Physics-informed neural network, Hard constraints, Neural tangent kernel, Training dynamics, Spectral analysis, Boundary function

3.

Neural Tangent Kernel Theory for Hard-Constrained Physics-Informed Neural Networks: Part II - NTK-Guided Boundary Function Design and Hyperparameter Optimization

Number of pages: 40 Posted: 24 Dec 2025
Yuchen Xie, Honghang Chi, Haopeng QUAN, Yahui Wang, Wei WANG and Yu Ma
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 37 (1,236,159)

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Physics-informed neural network, Hard constraints, Neural tangent kernel, Boundary function design, Hyperparameter optimization, Bayesian optimization

4.

Automated Boundary Function Design for Hard-Constrained Physics-Informed Neural Networks via an NTK Criterion and Bayesian Optimization

Number of pages: 39 Posted: 19 Jan 2026
Yuchen Xie, Honghang Chi, Haopeng QUAN, Yahui Wang, Wei WANG and Yu Ma
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 21 (1,470,786)

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Physics-Informed Neural Network, Hard constraints, Neural tangent kernel, Boundary function design, Hyperparameter optimization, Bayesian optimization