HD-TLGP

An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations

Simulation

• Solve Poisson Equation

  
  cd ./Poisson
  python  Tr_GPSRPoisson_sin.py # poisson1, poisson2
  python  Tr_GPSRPoisson_1.py # poisson3, poisson4

* Solve Advection Equation

cd ./Advection python Tr_GPSRAdvection_x.py # advection1, advection2 python Tr_GPSRAdvection_sin.py # advection3, advection4

* Solve Heat Equation

cd ./Heat python Tr_GPSRHeat.py # heat1, heat2, heat3, heat4

# Bibliography
If you find our paper or code helpful, consider citing:

@inproceedings{cao2024interpretable, title={An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations}, author={Cao, Lulu and Liu, Yufei and Wang, Zhenzhong and Xu, Dejun and Ye, Kai and Tan, Kay Chen and Jiang, Min}, booktitle={Proceedings of the AAAI Conference on Artificial Intelligence}, volume={38}, number={18}, pages={20640--20648}, year={2024} }