Balancing Geometry and Density: Path Distances on High-Dimensional Data.

Anna Little Daniel McKenzie James M. Murphy

Published 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