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X Marks the Spot
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Anonymous Coward |
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David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University Quoting: observation Pattern TheoryPattern Theory started in the 70 s with the ideas of Ulf Grenander and his school at Brown. The aim is to analyze from a statistical point of view the patterns in all signals' generated by the world, whether they be images, sounds, written text, DNA or protein strings, spike trains in neurons, time series of prices or weather, etc. Pattern theory proposes that the types of patterns and the hidden variables needed to describe these patterns found in one class of signals will often be found in the others and that their characteristic variability will be similar. The underlying idea is to find classes of stochastic models which can capture all the patterns that we see in nature, so that random samples from these models have the same look and feel' as the samples from the world itself. Then the detection of patterns in noisy and ambiguous samples can be achieved by the use of Bayes's rule, a method that can be described as �analysis by synthesis'. Quoting: observation [ link to www.dam.brown.edu] i`m not detecting any thought to how and why repeating processes (patterns) are repeating processes or what repeating processes exist within to be repeating processes within as in: motive of discovery that reality possess visible structure (pasterns) that are always in motion the reason i ask is mumford is one of the living people today who`s mathematics was discovered to have led to confirmation of a universe that never existed as in: mechanical Quoting: aether Perfect action roils the sea in the same manner every time. 4 forms and 3 echoes get the sphere rolling. Not a single thought given to breathing or what to breath.
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