Maths and algorithms

The internal workings of GeomLoss are fully described in Jean Feydy’s PhD thesis, Geometric data analysis, beyond convolutions:

• Chapter 1 provides context on our first motivations;

• Chapter 2 covers numerical foundations;

• Chapter 3 presents the main properties and implementations of the GeomLoss functions;

• Chapter 4 discusses applications to geometric data analysis;

• Chapter 5 highlights the limitations of optimal transport theory in computational anatomy and discusses open problems in the field.