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.
In addition to the new algebraic vocabulary, its statistical approach was novel in its aim to:
- Identify the hidden variables of a data set using real world data rather than artificial stimuli, which was commonplace at the time.
- Formulate prior distributions for hidden variables and models for the observed variables that form the vertices of a Gibbs-like graph.
- Study the randomness and variability of these graphs.
- Create the basic classes of stochastic models applied by listing the deformations of the patterns.
- Synthesize (sample) from the models, not just analyze signals with it.
Broad in its mathematical coverage, Pattern Theory spans algebra and statistics, as well as local topological and global entropic properties.
The Brown University Pattern Theory Group was formed in 1972 by Ulf Grenander. Many mathematicians are currently working in this group, noteworthy among them being the Fields Medalist David Mumford. Mumford regards Grenander as his "guru" in this subject.
Read more about Pattern Theory: Algebraic Foundations, Topology, Entropy, Statistics, Further Reading
Famous quotes containing the words pattern and/or theory:
“Our national experience in Americanizing millions of Europeans whose chief wish was to become Americans has been a heady wine which has made us believe, as perhaps no nation before us has ever believed, that, given the slimmest chance, all peoples will pattern themselves upon our model.”
—Ruth Benedict (1887–1948)
“Many people have an oversimplified picture of bonding that could be called the “epoxy” theory of relationships...if you don’t get properly “glued” to your babies at exactly the right time, which only occurs very soon after birth, then you will have missed your chance.”
—Pamela Patrick Novotny (20th century)