| Mumford, D. 2002. Pattern theory: the mathematics of perception. In Proceedings of the International Congress of Mathematicians: Volume III. |
....recognition, such identi cation and classi cation cannot be so trivial as they appear since our central nerve systems do carry out massive computation before reaching these succinct yet quite accurate descriptions. As David Mumford put it in his most recent perspective article for ICM 2002 [37], pattern theory, a booming interdisciplinary eld, is really about the mathematics of perception. Its mission is to reveal and model all the key elements and processes of human perception and intelligence, which are involved in a split second action of pattern recognition. To achieve this goal, ....
....in a split second action of pattern recognition. To achieve this goal, many mathematicians are intensively working on proper mathematical and statistical frameworks for e ectively learning, classifying, analyzing and synthesizing general complex patterns (see for example, Grenander [25] Mumford [37], and Poggio and Smale [49] 1.3. Pattern Analysis Meets Pattern Formation. On the other hand, the trend is growing stronger that pattern analysis theory should be tightly coupled with pattern formation research. This is mainly driven by the digital and information technologies, and the thirst ....
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D. Mumford. Pattern theory: The mathematics of perception. Int'l Congress Mathematicians (ICM) 2002, vol. III, to appear.
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D. Mumford, "Pattern Theory: the Mathematics of Perception", in Li, T. (Ed), Pro- ceedings of the International Congress of Mathematicians (2002, Beijing), Vol.l, Higher Education Press (Beijing), 2002.
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Mumford, D. 2002. Pattern theory: the mathematics of perception. In Proceedings of the International Congress of Mathematicians: Volume III.
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D. Mumford. Pattern theory: the mathematics of perception. In T. Li, editor, Proceedings of the International Congress of Mathematicians, volume 1, Beijing, 2002. Higher Education Press.
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