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Pattern theory, formulated by Ulf Grenander, is a mathematical formalism to describe knowledge of the world as patterns.It differs from other approaches to artificial intelligence in that it does not begin by prescribing algorithms and machinery to recognize and classify patterns; rather, it prescribes a vocabulary to articulate and recast the pattern concepts in precise language.
Chapters 2 to 6 describe how to identify and classify patterns on cultural objects such as ceramics, textiles and surface designs. Chapter 2 establishes the mathematical tools required to perform the symmetry analysis of patterns. Chapter 3 introduces the concept of color symmetry, for two-colored and multicolored patterns.
Born in Portland, Oregon, Ghormley was the oldest of six children to a Presbyterian missionary. [3] While attending the University of Idaho in Moscow, [4] he was appointed to the U.S. Naval Academy at Annapolis, Maryland, and entered there on September 23, 1902, and graduated in June 1906.
Pandemonium architecture is a theory in cognitive science that describes how visual images are processed by the brain. It has applications in artificial intelligence and pattern recognition. The theory was developed by the artificial intelligence pioneer Oliver Selfridge in 1959. It describes the process of object recognition as the exchange of ...
Ulf Grenander (23 July 1923 – 12 May 2016) was a Swedish statistician and professor of applied mathematics at Brown University.. His early research was in probability theory, stochastic processes, time series analysis, and statistical theory (particularly the order-constrained estimation of cumulative distribution functions using his sieve estimator).
Koszul duality, as treated by Alexander Beilinson, Victor Ginzburg, and Wolfgang Soergel [4] can be formulated using the notion of Koszul algebra.An example of such a Koszul algebra A is the symmetric algebra on a finite-dimensional vector space.
Crime pattern theory is a way of explaining why people commit crimes in certain areas.. Crime is not random, it is either planned or opportunistic. [citation needed]According to the theory crime happens when the activity space of a victim or target intersects with the activity space of an offender.
In literary theory, structuralist criticism relates literary texts to a larger structure, which may be a particular genre, a range of intertextual connections, a model of a universal narrative structure, or a system of recurrent patterns or motifs.