Fiberwise dimensionality reduction of topologically complex data with vector bundles.
Luis ScoccolaJose A. PereaPublished in: CoRR (2022)
Keyphrases
- complex data
- dimensionality reduction
- high dimensional data
- principal component analysis
- low dimensional
- high dimensionality
- high dimensional
- pattern recognition
- feature vectors
- feature extraction
- random projections
- manifold learning
- linear dimensionality reduction
- data representation
- vector space
- dimensionality reduction methods
- feature space
- data points
- nonlinear dimensionality reduction
- feature selection
- d objects
- subspace clustering
- kernel pca
- topology preserving
- actionable knowledge
- data sets
- principal components
- linear discriminant analysis
- data visualization
- metric learning
- nearest neighbor
- multidimensional scaling
- image processing
- structure preserving
- neural network
- database
- areas of data mining