Computational Information Geometry Wonderland

In this note alphadivergencemeans.pdf, we summarize the following work

• Shun-ichi Amari, Integration of Stochastic Models by Minimizing \alpha-Divergence, Neural Computation (NECO), (19)10:2780-2796, October 2007.

• F. Nielsen and R. Nock, The dual Voronoi diagrams with respect to representational Bregman divergences, International Symposium on Voronoi Diagrams (ISVD), June 2009.

• F. Nielsen and R. Nock, Sided and Symmetrized Bregman Centroids, IEEE transactions on information theory (2009), vol. 55, no. 6, pp. 2882-2904