A totally geodesic submanifold of the multivariate normal distributions and bounds for the Fisher-Rao distance.
João E. StrapassonJulianna PineleSueli I. R. CostaPublished in: ITW (2016)
Keyphrases
- normal distribution
- distance transform
- geodesic distance
- standard deviation
- random variables
- probability density function
- mixture distribution
- euclidean space
- probability distribution
- euclidean distance
- shape space
- kullback leibler divergence
- distance function
- low dimensional
- sample size
- covariance matrix
- lower bound
- computer vision
- distance measure
- shortest path
- worst case
- upper bound
- gaussian distribution
- manifold learning
- objective function
- machine learning
- riemannian metric
- high dimensional data