Title
A genetic programming approach to solomonoff's probabilistic induction
Abstract
In the context of Solomonoff's 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 Solomonoff's 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 Coulomb's 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.
Year
DOI
Venue
2006
10.1007/11729976_3
EuroGP
Keywords
Field
DocType
algorithmic probability theory,genetic programming approach,induction operator,inductive inference theory,algorithmically computable,inductive inference,henon series,analytical expression,arosa ozone time series,probabilistic induction,good approximation,ozone,time series,probability theory
Inductive logic programming,Algorithmic probability,A priori probability,Inductive reasoning,Kolmogorov complexity,Computer science,Theoretical computer science,Inductive probability,Solomonoff's theory of inductive inference,Artificial intelligence,Probabilistic logic
Conference
Volume
ISSN
ISBN
3905
0302-9743
3-540-33143-3
Citations 
PageRank 
References 
2
0.41
4
Authors
4
Name
Order
Citations
PageRank
Ivanoe De Falco124234.58
Antonio Della Cioppa214120.70
D. Maisto314611.20
Ernesto Tarantino436142.45