PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jason Morton.

Title:When does a mixture of products contain a product of mixtures?
Seminar:Applied Algebra and Network Theory Seminar
Speaker:Guido Montufar, Penn State
Abstract:
Restricted Boltzmann Machines (RBMs) can represent more complicated probability distributions than mixtures of independence models with a similar number of parameters, at least in terms of the modes of the probability distributions. In essentially all cases of practical interest, a huge mixture of binary product distributions is required to represent the distributions that can be represented compactly by an RBM. The strong modes of k-mixtures of binary product distribution are binary codes of Hamming distance two and cardinality at most k. The modes of RBMs relate to point configurations and hyperplane arrangements, resulting in a number of interesting problems.

Room Reservation Information

Room Number:MB106
Date:04 / 04 / 2012
Time:02:30pm - 03:20pm