Monday Oct 18, WeH 4601, 3:00 Rich Caruana presenting, TITLE: Was Billy Ockham Right: Do Smaller Theories Generalize Better? ABSTRACT: Ockham's Razor has been a dictum in science for centuries. Its formalization in ML theory suggests that the smallest hypothesis consistent with the data is most likely to be correct. In this talk I'll present recent empirical results by Murphy and Pazzani on decision trees that suggests this is not always true. They generated all decision trees consistent with a training set and found that generalization performance was not a monotonically decreasing function of complexity. More specifically, they discovered that in some domains: 1) the smallest decision trees had worse generalization performance than those somewhat larger, and 2) generalization performance sometimes begins to improve as the trees get very large. -Rich Caruana. Copies of the paper are available outside of Jean Harpley's office.