Abstracts of Past JMU REU Projects

s of Past JMU REU Projects • Title. Partial Metric Spaces: Representation and Classification. (2014) Students. Shaun Benvie (University of Connecticut) and Owen Hill (William and Mary) Mentor. Elizabeth Brown Abstract. Partial metrics generalize the standard notion of distance, a metric, to allow for non-zero self-distances. We show how partial metrics can be constructed from standard metrics and vice versa, which gives rise to a useful representation theorem. We also analyze separation axioms for partial metric topologies, which are not in general metrizable. Partial metrics generalize the standard notion of distance, a metric, to allow for non-zero self-distances. We show how partial metrics can be constructed from standard metrics and vice versa, which gives rise to a useful representation theorem. We also analyze separation axioms for partial metric topologies, which are not in general metrizable. • Title. Approaches to Addressing Overfitting in Averaging Classifiers. (2014) Students. James Munyon (Youngstown State) and Rebecca Thiem (Eastern Kentucky)