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GeoDist.m
LocalDist.m
README.md
SPCA.m
pca.m

README.md

GeodesicDistance

Created by Didong Li, June 2018

The function GeoDist is designed to estimate the geodesic distance between samples assuming the data lie in some d-dimensional Riemannian manifold embedded in R^p See more details about the spherical distance and spherelets here: https://arxiv.org/abs/1706.08263

Input:

  • X = data set, represented by n by p matrix where n is the sample size, p is the number of features
  • k = number of neighbors used in k-nearest neighbors
  • d = intrinsic dimension

Output:

  • D = Euclidean pairwise distance matrix
  • SD = spherical pairwise distance matrix

functions pca, SPCA and LocalDist are all necessary to run GeoDist.

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