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 |