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Haopeng QUAN

affiliation not provided to SSRN

SCHOLARLY PAPERS

3

DOWNLOADS

103

TOTAL CITATIONS

0

Scholarly Papers (3)

1.

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
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)

Abstract:

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

2.

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
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)

Abstract:

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

3.

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
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)

Abstract:

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