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A Genetic Programming Approach to Solomonoffs Probabilistic Induction (Articolo in rivista)
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- A Genetic Programming Approach to Solomonoffs Probabilistic Induction (Articolo in rivista) (literal)
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- 2006-01-01T00:00:00+01:00 (literal)
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De Falco Ivanoe, Tarantino Ernesto, Della Cioppa Antonio, Maisto Domenico (2006)
A Genetic Programming Approach to Solomonoffs Probabilistic Induction
in Lecture notes in computer science
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- De Falco Ivanoe, Tarantino Ernesto, Della Cioppa Antonio, Maisto Domenico (literal)
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- Titolo
- A Genetic Programming Approach to Solomonoffs Probabilistic Induction (literal)
- Abstract
- In the context of Solomonoffs Inductive Inference theory, Induction operator plays a key role in modeling and correctly predicting the behavior of a given phenomenon. Unfortunately, this operator
is not algorithmically computable. The present paper deals with a Genetic Programming approach to Inductive Inference, with reference to
Solomonoffs algorithmic probability theory, that consists in evolving a population of mathematical expressions looking for the optimal one that generates a collection of data and has a maximal a priori probability. Validation is performed on Coulombs Law, on the Henon series and
on the Arosa Ozone time series. The results show that the method is effective in obtaining the analytical expression of the first two problems,
and in achieving a very good approximation and forecasting of the third.
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