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Functional synchrony for point processes

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Published
Publication date2014
Host publicationContributions in infinite-dimensional statistics and related topics
PublisherSocieta Editorice Esculapio
Pages203-208
Number of pages6
ISBN (electronic)9788874887637
ISBN (print)8874887639
<mark>Original language</mark>English

Abstract

We consider the problem of defining a measure of association between multiple point processes. Motivated by the idea of neuronal synchrony between the spike train signals, we propose a measure of functional synchrony based on the convolution of the processes. We show that allowing for flexibility in the choice of the kernel functions leads to the formulation of the problem as a penalised functional CCA (canonical correlation analysis).