On the relevance of discrepancy norm for similarity-based clustering of delta-event-sequences

Autoren Bernhard Moser
Florian Eibensteienr
Jürgen Kogler
Gernot Stübl
Editoren R. Moreno-Díaz
F. Pichler
A. Quesada-Arencibia
Titel On the relevance of discrepancy norm for similarity-based clustering of delta-event-sequences
Buchtitel Computer Aided Systems Theory - EUROCAST 2013, Revised Selected Papers, Part I
Typ in Buch
Verlag Springer
Serie Lecture Notes in Computer Science
Band 8111
ISBN 978-3-642-53856-8
Monat December
Jahr 2013
Seiten 84-91
SCCH ID# 1342
Abstract

In contrast to sampling a signal at equidistant points in time the on-delta-send sampling principle relies on discretizing the signal due to equidistant points in the range. On-delta-send sampling is encountered in asynchronous event-based data acquisition of wireless sensor networks in order to reduce the amount of data transfer, in event-based imaging in order to realize high-dynamic range image acquisition or, via the integrate-and-_re principle, in biology in terms of neuronal spike trains. It turns out that the set of event sequences that result from a bounded set of signals by applying on-delta-send sampling can be characterized by means of the ball with respect to the so-called discrepancy norm as metric. This metric relies on a maximal principle that evaluates intervals of maximal partial sums. It is discussed how this property can be used to construct novel matching algorithms for such sequences. Simulations based on test signals show its pontential above all regarding robustness.