3 papers
math.DG2024
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…
math.DG2020
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…
math.DG2018
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…