12:00, 19 Nov 1997, WeH 7220 Probabilistic Modeling for Combinatorial Optimization Scott Davies joint work with Shumeet Baluja Most combinatorial optimization algorithms do not create exlicit models of previously found solutions in order to generate promising new candidate solutions. For example, hillclimbing and simulated annealing only search around a single good solution. Genetic algorithms maintain a population of solutions but use a randomized recombination operator to generate new solutions rather than explicitly extracting statistics to use for solution generation. In this talk, I will describe approaches to combinatorial optimization based on explicitly creating probabilistic models of the high-evaluation solutions found during search. We explore a variety of models, ranging from one that does not model any inter-parameter dependencies to automatically learned Bayesian networks capable of modeling complex dependencies. Empirical testing shows that algorithms using these models to generate new candidate solutions often significantly improve performance over a variety of other optimization algorithms.