A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction.
Bala KrishnamoorthyNathan H. MayPublished in: CoRR (2023)
Keyphrases
- dimension reduction
- intrinsic dimension
- principal component analysis
- feature extraction
- data mining and machine learning
- random projections
- low dimensional
- high dimensional problems
- high dimensional
- singular value decomposition
- partial least squares
- linear discriminant analysis
- cluster analysis
- variable selection
- dimensionality reduction
- high dimensional data
- feature selection
- high dimensional data analysis
- manifold learning
- distance function
- neural network
- discriminant analysis
- dimension reduction methods
- euclidean distance
- high dimensionality
- unsupervised learning
- distance measure
- distance metric
- feature space
- preprocessing
- discriminative information
- similarity measure
- optical flow
- geodesic distance
- data analysis
- feature subspace
- bayesian networks
- machine learning
- data mining