On the granularity of summative kernels

Authors:
Kevin Loquin;Olivier Strauss
Affiliations:
Laboratoire d'Informatique, de Robotique et de Microélectronique de Montpellier, Université Montpellier II, 161, rue Ada, 34392 Montpellier Cedex 5, France;Laboratoire d'Informatique, de Robotique et de Microélectronique de Montpellier, Université Montpellier II, 161, rue Ada, 34392 Montpellier Cedex 5, France
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

In this paper, we propose granularity as a new index to characterize the non-specificity of a summative kernel. This index is intended to reflect the behavior of a kernel in the usual signal processing applications. We show, in different experiments, that two kernels having the same granularity have very similar behavior. This granularity-based adaptation is compared to other adaptation methods. These experiments highlight the ability of the granularity index to measure the spreading and collecting properties of a summative kernel.