by Frank Nielsen and Ke Sun

An invitation to machine learning in Hilbert geometries and Birkhoff projective geometries.

- Latest paper revision

Chapter published in Geometric Structures of Information (Springer, 2019):

Clustering in Hilbertâ€™s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices. - Reproducible research:
- Python source code (for producing the figures and experiments of the paper)
- Java source code (experimentally check the information monotonicity Hilbert's simplex metric)

- Related information: On Balls in a Hilbert Polygonal Geometry (SoCG MM 2017 video)

November 2018