Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data.
Hao XuDongxiao ZhangNanzhe WangPublished in: CoRR (2020)
Keyphrases
- noisy data
- partial differential equations
- deep learning
- high dimensional
- numerical solution
- image denoising
- image processing
- anisotropic diffusion
- unsupervised learning
- numerical algorithms
- mental models
- missing data
- input data
- missing values
- level set
- machine learning
- image enhancement
- multiscale
- high dimensionality
- unsupervised feature learning
- training data
- high order
- weakly supervised
- image segmentation
- data mining
- sparse representation
- denoising
- image features
- neural network