Mathematics of the Neural Response
Name
Kathleen_rev_May2009_02.pdf
Description
author's final submitted manuscript
Size
1.54 MB
Format
Adobe PDF
Checksum (MD5)
55e5a6375d2d6977d0e97eb56fac466b
Author(s)
Bouvrie, Jacob Vincent
Rosasco, Lorenzo Andrea
Poggio, Tomaso A.
Smale, S.
Caponnetto, A.
Date Issued
June 2009
Journal
Foundations of Computational Mathematics
Publisher
Springer-Verlag
Citation
Smale, S. et al. “Mathematics of the Neural Response.” Foundations of Computational Mathematics 10.1 (2009): 67–91.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
McGovern Institute for Brain Research at MIT
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10208-009-9049-1
