MIT Department of Electrical Engineering & Computer Science

E E C S

Graphical Models, Neural Networks and Variational Methods

Michael I. Jordan
Department of Brain and Cognitive Sciences, MIT

Friday, May 16, 1997
3:00 PM (2:45 refreshments)
NE43-8th floor, AI Playroom
EECS Special Seminar

Abstract

Graphical models provide a useful formalism for understanding network-based statistical and machine learning systems. The key computation in all of these systems is that of computing a conditional probability distribution over hidden (latent) variables, given visible (observed) variables. For certain classes of architecture (including chain and tree-like structures), this calculation can be carried out exactly and efficiently. For other architectures, the exact calculation is inefficient and approximations must be developed. In this talk I describe the use of variational methods for the efficient calculation of bounds of probabilities on graphs, exemplifying these methods with applications to Markovian probabilistic decision trees, factorial Hidden Markov models, Boltzmann machines and Bayesian belief networks with logistic or noisy-OR nodes.

Hosts: Professor T. Lozano-Pérez and Professor E. Grimson


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Created: May 14, 1997  | Modified: Jun 24, 1997
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