Non-convex variational principles for the RS free energy of restricted Boltzmann machines

RANDOM MATRIX

Speaker:

Giuseppe Genovese - University of Basel

From the viewpoint of spin glass theory, restricted Boltzmann machines represent a veritable challenge, as to the lack of convexity prevents us to use Guerra's bounds. Therefore even the replica symmetric approximation for the free energy presents some challenges. I will present old and new results around the topic along with some open problems.

Zoom: https://harvard.zoom.us/j/98520388668?pwd=c1hVZk5oc3B6ZTVjUUlTN0J2dmdsQT09

Password: rmtpt2020