Variation Bounding: Theory, Systems & Optimization

Variation bounding, i.e., preventing an increase of zero-crossings or local extrema is an elementary property that we often expect from tools in signal processing, statistics, geometric modelling or approximation theory. The old and well-established theory behind this concept, however, has barely entered the respected communities and been mostly forgotten by now. In this talk, we will first review the basic concepts and characterization of this property. Subsequently, the talk will be divided into three parts to provide an overview of the research activities at our group.