The Median Extension of Data Analysis Metric Structures
Mohammed Benayade, Bernard Fichet · Birkhäuser Basel eBooks · 2002
This paper is devoted to the median extension of finite metric spaces of a given type. It is defined by an extension minimising the usual median criterion and preserving the metric structure. Some stability conditions for the existence of a solution are exhibited. Then we focus on metric spaces of L 1 -type. The problem is solved by a linear program, prohibitively time consuming. Finally, we explore the median extension for a wide spectrum of metric stuctures of exploratory data analysis. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.