Applications of Convex Analysis to Multidimensional Scaling 论文

摘要

Abstract. In this paper we discuss the convergence of an algorithm for metric and nonmetric multidimensional scaling that is very similar to the C-matrix algorithm of Guttman. The paper improves some earlier results in two respects. In the first place the analysis is extended to cover general Minkovski metrics, in the second place a more elementary proof of convergence based on results of Robert is presented. This paper was originally presented at the European Meeting of Statisticians,