Mathematics of the Neural Response
Author(s)Bouvrie, Jacob Vincent; Rosasco, Lorenzo Andrea; Poggio, Tomaso A.; Smale, S.; Caponnetto, A.
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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.
DepartmentMassachusetts 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
Foundations of Computational Mathematics
Smale, S. et al. “Mathematics of the Neural Response.” Foundations of Computational Mathematics 10.1 (2009): 67–91.
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