Mathematics of the Neural Response

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 recur...

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Bibliographic Details
Main Authors: Caponnetto, Andrea, Poggio, Tomaso, Bouvrie, Jake, Rosasco, Lorenzo, Smale, Steve
Other Authors: Tomaso Poggio
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/1721.1/43713
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author Caponnetto, Andrea
Poggio, Tomaso
Bouvrie, Jake
Rosasco, Lorenzo
Smale, Steve
author2 Tomaso Poggio
author_facet Tomaso Poggio
Caponnetto, Andrea
Poggio, Tomaso
Bouvrie, Jake
Rosasco, Lorenzo
Smale, Steve
author_sort Caponnetto, Andrea
collection MIT
description 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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spelling mit-1721.1/437132019-04-11T00:32:22Z Mathematics of the Neural Response Caponnetto, Andrea Poggio, Tomaso Bouvrie, Jake Rosasco, Lorenzo Smale, Steve Tomaso Poggio Center for Biological and Computational Learning (CBCL) neuroscience computer vision kernels 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. 2008-11-27T01:30:05Z 2008-11-27T01:30:05Z 2008-11-26 http://hdl.handle.net/1721.1/43713 MIT-CSAIL-TR-2008-070 CBCL-276 25 p. application/pdf application/postscript
spellingShingle neuroscience
computer vision
kernels
Caponnetto, Andrea
Poggio, Tomaso
Bouvrie, Jake
Rosasco, Lorenzo
Smale, Steve
Mathematics of the Neural Response
title Mathematics of the Neural Response
title_full Mathematics of the Neural Response
title_fullStr Mathematics of the Neural Response
title_full_unstemmed Mathematics of the Neural Response
title_short Mathematics of the Neural Response
title_sort mathematics of the neural response
topic neuroscience
computer vision
kernels
url http://hdl.handle.net/1721.1/43713
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AT poggiotomaso mathematicsoftheneuralresponse
AT bouvriejake mathematicsoftheneuralresponse
AT rosascolorenzo mathematicsoftheneuralresponse
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