Tag: Geodesic

Geodesic Regression

Riemannian Geometry can be safely tagged as a “revolutionary” theory in mathematics. Firstly, the theory put forward a radical view of space and geometry by generalizing the “flat” Euclidean space to curved manifolds. Later, it was the basis for a major Physics revolution whe...

Principal Geodesic Analysis

PCA is a well-known technique for data analysis by representing the data in terms of its principal constituents. Two of the well-known applications of PCA are noise reduction and dimensionality reduction. Let’s review PCA with a simple example of noise reduction. Real-world data are noisy. ...