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- Pattern_theory abstract "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 is novel in its aim to: Identify the hidden variables of a data set using real world data rather than artificial stimuli, which was previously commonplace. 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.".
- Pattern_theory thumbnail Grammar_automaton.png?width=300.
- Pattern_theory wikiPageExternalLink brown93mathematics.html.
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- Pattern_theory wikiPageWikiLink Abductive_reasoning.
- Pattern_theory wikiPageWikiLink Algebraic_statistics.
- Pattern_theory wikiPageWikiLink Algorithm.
- Pattern_theory wikiPageWikiLink Artificial_intelligence.
- Pattern_theory wikiPageWikiLink Bayes_theorem.
- Pattern_theory wikiPageWikiLink Bayesian_inference.
- Pattern_theory wikiPageWikiLink Category:Artificial_intelligence.
- Pattern_theory wikiPageWikiLink Category:Formalism_(philosophy).
- Pattern_theory wikiPageWikiLink Context-free_grammar.
- Pattern_theory wikiPageWikiLink Data_set.
- Pattern_theory wikiPageWikiLink David_Mumford.
- Pattern_theory wikiPageWikiLink Dynamic_programming.
- Pattern_theory wikiPageWikiLink English_phonology.
- Pattern_theory wikiPageWikiLink Expectation–maximization_algorithm.
- Pattern_theory wikiPageWikiLink Fields_Medal.
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- Pattern_theory wikiPageWikiLink Finite-state_machine.
- Pattern_theory wikiPageWikiLink Formal_concept_analysis.
- Pattern_theory wikiPageWikiLink Formalism_(mathematics).
- Pattern_theory wikiPageWikiLink Generator_(mathematics).
- Pattern_theory wikiPageWikiLink Grammar.
- Pattern_theory wikiPageWikiLink Grammar_induction.
- Pattern_theory wikiPageWikiLink Hidden_Markov_model.
- Pattern_theory wikiPageWikiLink Image_analysis.
- Pattern_theory wikiPageWikiLink Latent_variable.
- Pattern_theory wikiPageWikiLink Lattice_(order).
- Pattern_theory wikiPageWikiLink Link_grammar.
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- Pattern_theory wikiPageWikiLink Mathematical_induction.
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- Pattern_theory wikiPageWikiLink Set_phrase.
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- Pattern_theory wikiPageWikiLink Spatial_analysis.
- Pattern_theory wikiPageWikiLink State_diagram.
- Pattern_theory wikiPageWikiLink State_transition_table.
- Pattern_theory wikiPageWikiLink Ulf_Grenander.
- Pattern_theory wikiPageWikiLink File:Generator_list.png.
- Pattern_theory wikiPageWikiLink File:Grammar_automaton.png.
- Pattern_theory wikiPageWikiLinkText "Pattern theory".
- Pattern_theory wikiPageWikiLinkText "pattern theory".
- Pattern_theory wikiPageWikiLinkText "pattern".
- Pattern_theory wikiPageWikiLinkText "theory of patterns".
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- Pattern_theory subject Category:Artificial_intelligence.
- Pattern_theory subject Category:Formalism_(philosophy).
- Pattern_theory hypernym Formalism.
- Pattern_theory type Area.
- Pattern_theory type ProgrammingLanguage.
- Pattern_theory type Area.
- Pattern_theory type Page.
- Pattern_theory type Redirect.
- Pattern_theory comment "Pattern theory, formulated by Ulf Grenander, is a mathematical formalism to describe knowledge of the world as patterns.".
- Pattern_theory label "Pattern theory".
- Pattern_theory sameAs Q7148392.
- Pattern_theory sameAs Teoria_dos_padrões.
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- Pattern_theory sameAs Q7148392.
- Pattern_theory wasDerivedFrom Pattern_theory?oldid=702193930.
- Pattern_theory depiction Grammar_automaton.png.
- Pattern_theory isPrimaryTopicOf Pattern_theory.