xuelanghanbao/AI4XDE

资源文件列表(大概)

文件名

大小

AI4XDE-master/

AI4XDE-master/.asset/

AI4XDE-master/.asset/A_Simple_ODE.png

70.67KB

AI4XDE-master/.asset/AllenCahn.png

70.86KB

AI4XDE-master/.asset/Beltrami_flow_dim_0.png

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AI4XDE-master/.asset/Beltrami_flow_dim_1.png

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AI4XDE-master/.asset/Beltrami_flow_dim_2.png

170.38KB

AI4XDE-master/.asset/Beltrami_flow_dim_3.png

84.51KB

AI4XDE-master/.asset/Bimodal_2D.png

28.99KB

AI4XDE-master/.asset/Brinkman_Forchheimer_Inverse.png

23.9KB

AI4XDE-master/.asset/Burgers.png

70.75KB

AI4XDE-master/.asset/Convection_1D_Periodic.png

143.46KB

AI4XDE-master/.asset/Diffusion.png

149.05KB

AI4XDE-master/.asset/Diffusion_Inverse.png

147.22KB

AI4XDE-master/.asset/Diffusion_Reaction_Inverse_dim_0.png

51.23KB

AI4XDE-master/.asset/Diffusion_Reaction_Inverse_dim_1.png

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AI4XDE-master/.asset/Diffusion_reaction.png

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AI4XDE-master/.asset/Euler_Beam.png

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AI4XDE-master/.asset/Fractional_Diffusion_1D.png

107.78KB

AI4XDE-master/.asset/Fractional_Poisson_1D.png

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AI4XDE-master/.asset/Fractional_Poisson_2D.png

208.06KB

AI4XDE-master/.asset/Fractional_Poisson_3D.png

213.15KB

AI4XDE-master/.asset/FuncFromData.png

35.66KB

AI4XDE-master/.asset/FuncFromFormula.png

30.95KB

AI4XDE-master/.asset/Heat.png

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AI4XDE-master/.asset/Helmholtz.png

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AI4XDE-master/.asset/Helmholtz_Hole.png

77.45KB

AI4XDE-master/.asset/Helmholtz_Sound_hard_Absorbing_dim_0.png

289.22KB

AI4XDE-master/.asset/Helmholtz_Sound_hard_Absorbing_dim_1.png

298.07KB

AI4XDE-master/.asset/IDE.png

30.02KB

AI4XDE-master/.asset/Klein_Gordon.png

241.02KB

AI4XDE-master/.asset/Kovasznay_Flow_0.png

157.5KB

AI4XDE-master/.asset/Kovasznay_Flow_1.png

156.47KB

AI4XDE-master/.asset/Kovasznay_Flow_2.png

67.58KB

AI4XDE-master/.asset/Laplace_disk.png

171.65KB

AI4XDE-master/.asset/LotkaVolterra.png

62.68KB

AI4XDE-master/.asset/NS_Flow_in_LidDriven_Cavity.png

53.44KB

AI4XDE-master/.asset/Poisson_1D_Dirichlet_Neumann.png

28.98KB

AI4XDE-master/.asset/Poisson_1D_Dirichlet_PointSetOperator.png

31.13KB

AI4XDE-master/.asset/Poisson_1D_Dirichlet_Robin.png

28.52KB

AI4XDE-master/.asset/Poisson_1D_Fractional_Inverse.png

31.81KB

AI4XDE-master/.asset/Poisson_1D_Hard_Boundary.png

26.58KB

AI4XDE-master/.asset/Poisson_2D_Peak.png

27.14KB

AI4XDE-master/.asset/Schrodinger_dim_0.png

65.46KB

AI4XDE-master/.asset/Schrodinger_dim_1.png

72.36KB

AI4XDE-master/.asset/SecondOrderODE.png

21.34KB

AI4XDE-master/.asset/Volterra_IDE.png

20.13KB

AI4XDE-master/.asset/Wave_1D_Hard_Boundary.png

300.49KB

AI4XDE-master/.gitignore

120B

AI4XDE-master/AI4XDE/

AI4XDE-master/AI4XDE/__init__.py

138B

AI4XDE-master/AI4XDE/algorithm/

AI4XDE-master/AI4XDE/algorithm/__init__.py

463B

AI4XDE-master/AI4XDE/algorithm/causalpinn.py

4.36KB

AI4XDE-master/AI4XDE/algorithm/fbpinn.py

7.77KB

AI4XDE-master/AI4XDE/algorithm/fipinn.py

3.89KB

AI4XDE-master/AI4XDE/algorithm/gpinn.py

2.38KB

AI4XDE-master/AI4XDE/algorithm/hpo.py

3.82KB

AI4XDE-master/AI4XDE/algorithm/pinn.py

623B

AI4XDE-master/AI4XDE/algorithm/r3sampling.py

3.2KB

AI4XDE-master/AI4XDE/algorithm/rad.py

1.61KB

AI4XDE-master/AI4XDE/algorithm/randomr.py

708B

AI4XDE-master/AI4XDE/algorithm/rard.py

1.4KB

AI4XDE-master/AI4XDE/algorithm/rarg.py

1.09KB

AI4XDE-master/AI4XDE/algorithm/uniform.py

2.95KB

AI4XDE-master/AI4XDE/cases/

AI4XDE-master/AI4XDE/cases/__init__.py

4.15KB

AI4XDE-master/AI4XDE/cases/convection.py

5KB

AI4XDE-master/AI4XDE/cases/function.py

4.5KB

AI4XDE-master/AI4XDE/cases/inverse.py

25.14KB

AI4XDE-master/AI4XDE/cases/pde.py

87.45KB

AI4XDE-master/AI4XDE/cases/poisson.py

25.96KB

AI4XDE-master/AI4XDE/cases/wave.py

5.61KB

AI4XDE-master/AI4XDE/data/

AI4XDE-master/AI4XDE/data/Allen_Cahn.mat

146.47KB

AI4XDE-master/AI4XDE/data/Burgers.npz

203.44KB

AI4XDE-master/AI4XDE/data/Flow_in_LidDriven_Cavity_u.csv

251.75KB

AI4XDE-master/AI4XDE/data/Flow_in_LidDriven_Cavity_v.csv

248.21KB

AI4XDE-master/AI4XDE/data/Lorenz.npz

1.22KB

AI4XDE-master/AI4XDE/data/NLS.mat

546.48KB

AI4XDE-master/AI4XDE/data/Poisson_Lshape.npz

607.98KB

AI4XDE-master/AI4XDE/data/cylinder_nektar_wake.mat

22.97MB

AI4XDE-master/AI4XDE/data/dataset.test

25.22KB

AI4XDE-master/AI4XDE/data/dataset.train

12.72KB

AI4XDE-master/AI4XDE/data/mf_hi_test.dat

49.34KB

AI4XDE-master/AI4XDE/data/mf_hi_train.dat

259B

AI4XDE-master/AI4XDE/data/mf_lo_train.dat

2.55KB

AI4XDE-master/AI4XDE/data/reaction.npz

635.27KB

AI4XDE-master/AI4XDE/decomposition/

AI4XDE-master/AI4XDE/decomposition/decomposition.py

826B

AI4XDE-master/AI4XDE/solver/

AI4XDE-master/AI4XDE/solver/PDESolver.py

2.8KB

AI4XDE-master/AI4XDE/solver/__init__.py

60B

AI4XDE-master/AI4XDE/utils/

AI4XDE-master/AI4XDE/utils/Math.py

3.62KB

AI4XDE-master/AI4XDE/utils/Visualization.py

3.18KB

AI4XDE-master/AI4XDE/utils/__init__.py

155B

AI4XDE-master/AI4XDE/utils/backend.py

2.2KB

AI4XDE-master/LICENSE

26.4KB

AI4XDE-master/MANIFEST.in

19B

AI4XDE-master/README.en.md

4.68KB

AI4XDE-master/README.md

3.92KB

AI4XDE-master/setup.py

1.65KB

资源内容介绍

xuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDExuelanghanbao/AI4XDE

# AI4XDE#### 介绍AI4XDE是一个用于科学机器学习和物理信息网络的综合库。AI4XDE旨在将具体算法与具体算例相解耦，将算例作为神经网络的输入参数，使得一次编程即可计算所有的算例。按照AI4XDE库中使用的接口范式编写神经网络算法以及算例，可以快速地测试算法在不同算例上的稳定性，加快实验进度；同时也可以使算例编写完成，即可在不同的神经网络算法上进行测试、比较。目前AI4XDE支持算法如下：1. PINN2. Uniform3. Random_R4. RAR_D5. RAR_G6. RAD7. R3Sampling8. HPO9. gPINN10. FI-PINN11. FBPINN12. CausalPINN目前AI4XDE支持算例如下：1. 基于公式的函数近似算例2. 基于数据的公式近似算例3. 一个简单的ODE算例4. Lotka-Volterra方程5. 一个二阶ODE算例6. 具有狄利克雷边界条件的一维Poisson方程7. 具有狄利克雷/纽曼边界条件的一维Poisson方程8. 具有狄利克雷/罗宾边界条件的一维Poisson方程9. 具有狄利克雷/周期边界条件的一维Poisson方程10. 具有狄利克雷/点集算子边界条件的一维Poisson方程11. 具有强制边界条件的一维Poisson方程12. 具有多尺度傅立叶特征网络的一维Poisson方程13. L型区域上的二维Poisson方程14. 具有未知强迫场的Poisson方程反问题15. 一维分数阶Poisson方程反问题16. 二维分数阶Poisson方程反问题17. 峰值二维Poisson方程18. 圆型区域上的Laplace方程19. 欧拉梁20. 二维矩形区域上的Helmholtz方程21. 带孔二维矩形区域上的Helmholtz方程22. 具有吸收边界条件的Helmholtz声硬散射问题23. Kovasznay流24. Burgers方程25. Heat方程26. Diffusion方程27. Diffusion-reaction方程28. AllenCahn方程29. Klein-Gordon方程30. Beltrami流31. 薛定谔方程32. 具有强制边界条件的一维Wave方程33. 使用时空多尺度傅里叶特征网络的一维Wave方程34. 积分微分方程35. Volterra积分微分方程36. 一维分数阶Poisson方程37. 二维分数阶Poisson方程38. 三维分数阶Poisson方程39. 一维分数阶Diffusion方程40. Lorenz反问题41. 具有外生输入的Lorenz反问题42. Brinkman-Forchheimer反问题43. Diffusion反问题44. Diffusion-Reaction反问题45. 不可压缩流体Navier-Stokes方程（圆柱扰流）反问题46. 二维双峰分布问题47. 方腔流48. 具有周期边界条件的一维对流方程49. 一维谐振子#### 安装教程由于AI4XDE基于DeepXDE库，所以你需要首先安装DeepXDE库。DeepXDE需要安装以下依赖项之一:- TensorFlow 1.x: [TensorFlow](https://www.tensorflow.org/)>=2.7.0- TensorFlow 2.x: [TensorFlow](https://www.tensorflow.org/)>=2.2.0, [TensorFlow Probability](https://www.tensorflow.org/probability)>=0.10.0- PyTorch: [PyTorch](https://pytorch.org/)>=1.9.0- JAX: [JAX](https://jax.readthedocs.io/), [Flax](https://flax.readthedocs.io/), [Optax](https://optax.readthedocs.io/)- PaddlePaddle: [PaddlePaddle](https://www.paddlepaddle.org.cn/en) ([develop version](https://www.paddlepaddle.org.cn/en/install/quick?docurl=/documentation/docs/en/develop/install/pip/linux-pip_en.html))请安装完上述依赖项作为基线后，再安装DeepXDE.随后，你就可以使用如下方法安装AI4XDE- 使用 `pip`安装：```$ pip install ai4xde```- 使用 `conda`安装：```$ conda install -c xuelanghanbao ai4xde```- 对于开发者，可以将其克隆到本地计算机上：```$ git clone https://gitee.com/xuelanghanbao/AI4XDE.git```#### 使用说明AI4XDE将算法与算例分离，其中算法模板存放在 `solver` 文件夹中，基于算法模板实现的具体算法（如：PINN、R3Sampling等）存放在`algorithm`文件夹中。算例模板及具体算例（如：Burgers、AllenCahn等）存放在`cases`文件夹中。#### 参与贡献1. Fork 本仓库2. 新建 Feat_xxx 分支3. 提交代码4. 新建 Pull Request

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