Mathematics of the Neural Response

Smale S., Rosasco L., Bouvrie J., Caponnetto A., Poggio T., Smale, S., L. Rosasco, J. Bouvrie, A. Caponnetto, and T. Poggio

Foundations of Computational Mathematics , Vol. 10, 1, 67-91 [DOI 10.1007/s10208-009-9049-1] , February 2010

Published online: 30 June 2009
© SFoCM 2009

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.

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