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On the granularity of summative kernels

Authors: Loquin, Kevin; Strauss, Olivier;

On the granularity of summative kernels

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.

Keywords

Signal theory (characterization, reconstruction, filtering, etc.), Signal processing, Possibility, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, Probability theory, Foundations of probability theory, adaptation, maxitive kernels, granularity, possibility, Maxitive kernels, Fuzzy sets and logic (in connection with information, communication, or circuits theory), probability theory, summative, Special integral transforms (Legendre, Hilbert, etc.), Summative, Adaptation, signal processing, Theory of fuzzy sets, etc., Granularity, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Top 10%
Green
bronze