Mathematics of the neural response

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

32 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)67-91
Journal / PublicationFoundations of Computational Mathematics
Volume10
Issue number1
Publication statusPublished - Jan 2010

Abstract

We propose a natural image representation, the neural response, motivated by the neuroscience of the visual cortex. The inner product defined by the neural response leads to a similarity measure between functions which we call the derived kernel. Based on a hierarchical architecture, we give a recursive definition of the neural response and associated derived kernel. The derived kernel can be used in a variety of application domains such as classification of images, strings of text and genomics data. © SFoCM 2009.

Research Area(s)

  • Computer vision, Kernels, Unsupervised learning

Citation Format(s)

Mathematics of the neural response. / Smale, S.; Rosasco, L.; Bouvrie, J.; Caponnetto, A.; Poggio, T.

In: Foundations of Computational Mathematics, Vol. 10, No. 1, 01.2010, p. 67-91.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal