For more information about this meeting, contact Jason Morton.
| Title: | When does a mixture of products contain a product of mixtures? |
| Seminar: | Applied Algebra 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 |