4 papers · 1 filter
Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices
Amit Vishwakarma, KS Subrahamanian Moosath
In this paper, a distance between the Gaussian Mixture Models(GMMs) is obtained based on an embedding of the K-component Gaussian Mixture Model into the manifold of the symmetric p…
Information Geometric Framework For Point Cloud Data
Amit Vishwakarma, KS Subrahamanian Moosath
In this paper, we introduce a novel method for comparing 3D point clouds, a critical task in various machine learning applications. By interpreting point clouds as samples from und…
Affine and Conformal Submersions with Horizontal Distribution and Statistical Manifolds
Mahesh T, K S Subrahamanian Moosath
We show that, for an affine submersion with horizontal distribution, is a statistical manifold with the metric and connection…
Immersions into Statistical Manifolds
T V Mahesh, K S Subrahamanian Moosath
This paper studies the geometry of immersions into statistical manifolds. A necessary and sufficient condition is obtained for statistical manifold structures to be dual to each ot…