4 papers
A Tractable Pseudo-Metric on Non-Parametric Exponential Statistical Manifolds via SPD Geometry
Amit Vishwakarma, K. S. Subrahamanian Moosath
Computing distances between probability distributions on non-parametric statistical manifolds is fundamentally intractable. The geodesicequations live in infinite-dimensional funct…
Enhanced 3D Shape Analysis via Information Geometry
Amit Vishwakarma, K. S. Subrahamanian Moosath
Three-dimensional point clouds provide highly accurate digital representations of objects, essential for applications in computer graphics, photogrammetry, computer vision, and rob…
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…