pratt@zztop.rutgers.edu (Lorien Y. Pratt) (10/01/88)
Fall, 1988 Neural Networks Colloquium Series at Rutgers On the theory of Boltzmann Machine Learning ------------------------------------------- Hector Sussmann Rutgers University Mathematics Department Room 705 Hill center, Busch Campus Friday October 14, 1988 at 11:10 am Refreshments served before the talk Abstract The Boltzmann machine is an algorithm for learning in neural networks, involving alternation between a ``learning'' and ``hallucinating'' phase. In this talk, I will present a Boltzmann machine algorithm for which it can be proven that, for suitable choices of the parameters, the weights converge so that the Boltzmann machine correctly classifies all training data. This is because the evolution of the weights follow very closely, with very high probability, an integral trajectory of the gradient of the likelihood function whose global maxima are exactly the desired weight patterns. -- ------------------------------------------------------------------- Lorien Y. Pratt Computer Science Department pratt@paul.rutgers.edu Rutgers University Busch Campus (201) 932-4634 Piscataway, NJ 08854