Physics

Differential algebraic equation

Pure mathematics

Calculus (dental)

Mathematics

Literature

Scalar curvature

Mathematical proof

Information geometry

Algebra over a field

Synthetic geometry

Mathematical analysis

Projective geometry

Geometric analysis

Exposition (narrative)

Differential geometry

Curvature

Dentistry

Geometry

Computer science

Differential equation

Ordinary differential equation

Medicine

Differential (mechanical device)

Thermodynamics

Entropy

In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introducing the necessary concepts of differential geometry, but proofs are omitted for brevity.

An Elementary Introduction to Information Geometry