« Probabilité algorithmique » : différence entre les versions


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== Français ==
== Français ==
probabilité algorithmique
 
''' probabilité algorithmique'''


Source: http://www.lifl.fr/SMAC/publications/pdf/these-hector-zenil-chavez.pdf
Source: http://www.lifl.fr/SMAC/publications/pdf/these-hector-zenil-chavez.pdf
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== Anglais ==
== Anglais ==


=== Algorithmic probability ===
''' Algorithmic probability '''
 
In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability to a given observation. It was invented by Ray Solomonoff in the 1960s.[1] It is used in inductive inference theory and analyses of algorithms. In his general theory of inductive inference, Solomonoff uses the prior[clarification needed] obtained by this formula[which?], in Bayes' rule for prediction [example needed][further explanation needed].[2]
In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability to a given observation. It was invented by Ray Solomonoff in the 1960s.[1] It is used in inductive inference theory and analyses of algorithms. In his general theory of inductive inference, Solomonoff uses the prior[clarification needed] obtained by this formula[which?], in Bayes' rule for prediction [example needed][further explanation needed].[2]



Version du 28 avril 2019 à 08:58

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Français

probabilité algorithmique

Source: http://www.lifl.fr/SMAC/publications/pdf/these-hector-zenil-chavez.pdf

Anglais

Algorithmic probability

In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability to a given observation. It was invented by Ray Solomonoff in the 1960s.[1] It is used in inductive inference theory and analyses of algorithms. In his general theory of inductive inference, Solomonoff uses the prior[clarification needed] obtained by this formula[which?], in Bayes' rule for prediction [example needed][further explanation needed].[2]

In the mathematical formalism used, the observations have the form of finite binary strings, and the universal prior is a probability distribution over the set of finite binary strings[citation needed]. The prior is universal in the Turing-computability sense, i.e. no string has zero probability. It is not computable, but it can be approximated.[3]