A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction.
Sijing LiZhiwen ZhangHongkai ZhaoPublished in: Multiscale Model. Simul. (2020)
Keyphrases
- dimension reduction
- partial differential equations
- multiscale
- wavelet coefficients
- intrinsic dimension
- image denoising
- feature extraction
- wavelet transform
- low dimensional
- image processing
- manifold learning
- high dimensional problems
- high dimensional
- principal component analysis
- numerical solution
- variable selection
- singular value decomposition
- random projections
- feature space
- high dimensionality
- level set
- natural images
- differential equations
- feature selection
- image representation
- linear combination
- linear discriminant analysis
- high dimensional data
- image segmentation
- dimensionality reduction
- preprocessing
- shape representation
- unsupervised learning
- partial least squares
- high dimensional data analysis
- pattern recognition
- discriminative information
- reinforcement learning
- machine learning
- neural network