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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| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2013
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| Online Access: | http://hdl.handle.net/1721.1/76632 https://orcid.org/0000-0002-3944-0455 https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6008-7417 |
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| author | Bouvrie, Jacob Vincent Rosasco, Lorenzo Andrea Poggio, Tomaso A. Smale, S. Caponnetto, A. |
| author2 | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory |
| author_facet | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Bouvrie, Jacob Vincent Rosasco, Lorenzo Andrea Poggio, Tomaso A. Smale, S. Caponnetto, A. |
| author_sort | Bouvrie, Jacob Vincent |
| 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. |
| first_indexed | 2024-09-23T08:04:50Z |
| format | Article |
| id | mit-1721.1/76632 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:04:50Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/766322022-09-30T07:21:13Z Mathematics of the Neural Response Bouvrie, Jacob Vincent Rosasco, Lorenzo Andrea Poggio, Tomaso A. Smale, S. Caponnetto, A. 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 Poggio, Tomaso Bouvrie, Jacob Vincent Rosasco, Lorenzo Andrea Poggio, Tomaso A. 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. 2013-01-29T21:32:58Z 2013-01-29T21:32:58Z 2009-06 2009-05 Article http://purl.org/eprint/type/JournalArticle 1615-3375 1615-3383 http://hdl.handle.net/1721.1/76632 Smale, S. et al. “Mathematics of the Neural Response.” Foundations of Computational Mathematics 10.1 (2009): 67–91. https://orcid.org/0000-0002-3944-0455 https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6008-7417 en_US http://dx.doi.org/10.1007/s10208-009-9049-1 Foundations of Computational Mathematics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag Kathleen Sullivan |
| spellingShingle | Bouvrie, Jacob Vincent Rosasco, Lorenzo Andrea Poggio, Tomaso A. Smale, S. Caponnetto, A. 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 |
| url | http://hdl.handle.net/1721.1/76632 https://orcid.org/0000-0002-3944-0455 https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6008-7417 |
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