Learning and Teaching of Boolean and Geometric Classes

We consider the concept classes of DNF formulas and unions of discretized, axis-parallel ddimensional boxes in discretized d-dimensional space with respect to several different learning models. In the model of learning with queries we present an algorithm to learn unions of boxes. We introduce a model of teaching that prevents illicit communication between the teacher and the leaner but that captures the intuitive aspect of teaching: a learner should perform at least as well with a cooperative teacher as with an adversarial teacher. We propose the study of teaching of DNF formulas and unions of boxes in this model.... Read complete abstract on page 2.