Margareta Ackerman
MATHEMATICS COLLOQUIUM
Speaker: Margareta Ackerman Abstract. Clustering is a central unsupervised learning task with a wide variety of applications. However, in spite of its popularity, it lacks a unified theoretical foundation. Recently, there has been work aimed at developing such a theory. We discuss recent advances in clustering theory, starting with results on clustering axioms. We will then discuss a new framework for addressing one of the most prominent practical problems in the field, the selection of a clustering algorithm for a specific task. The framework rests on the identification of central properties capturing the input-output behaviour of clustering paradigms. We present several results in this direction, including a characterization of linkage-based clustering methods. |