Projects / Mathematical foundations

Information geometry, from scratch

A JAX tutorial that builds differential geometry from primitives (metrics, connections, curvature, parallel transport) up to Fisher metrics and α-connections.

Follows Amari and Nagaoka’s Methods of Information Geometry: coordinate systems, vector and tensor fields, Christoffel symbols, covariant derivatives, Riemann and Ricci curvature, torsion, parallel transport, and statistical manifolds whose Fisher metric is estimated with Hamiltonian Monte Carlo.