Balancing Geometry and Density: Path Distances on High-Dimensional Data.
Anna LittleDaniel McKenzieJames M. MurphyPublished in: SIAM J. Math. Data Sci. (2022)
Keyphrases
- high dimensional data
- dimensionality reduction
- nearest neighbor
- low dimensional
- high dimensional
- data points
- subspace clustering
- data sets
- geodesic distance
- high dimensions
- data analysis
- high dimensionality
- dimension reduction
- distance function
- manifold learning
- similarity search
- input space
- original data
- data distribution
- euclidean distance
- distance measure
- shortest path
- high dimensional datasets
- underlying manifold
- sparse representation
- low dimensional manifolds
- linear discriminant analysis
- lower dimensional
- high dimensional spaces
- nonlinear dimensionality reduction
- clustering high dimensional data
- hamming distance
- dimensional data
- computer vision
- machine learning
- database
- input data
- knn
- small sample size
- neural network
- low dimensional structure
- variable weighting