Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data.
Hao XuDongxiao ZhangNanzhe WangPublished in: J. Comput. Phys. (2021)
Keyphrases
- noisy data
- partial differential equations
- deep learning
- high dimensional
- numerical solution
- image denoising
- anisotropic diffusion
- unsupervised learning
- level set
- image processing
- image enhancement
- unsupervised feature learning
- multiscale
- training data
- machine learning
- numerical algorithms
- missing values
- missing data
- mental models
- high dimensionality
- data sets
- data mining
- maximum likelihood
- input data
- weakly supervised
- object detection
- pattern recognition
- neural network