Skip to main content
Log in

Autonomous theory building systems

  • Knowledge And Structures: How To Represent, Handle, And Find Knowledge And Insight Into Structure
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

Theories are collections of large bodies of data in the real world. We describe autonomous systems, which observe the outside world and try to generate programs which reproduce the observed data. Methods for generation of new programs are enumeration as well as mutation and combination of old programs. We describe two criteria for judging the quality of a program. We can judge a program to be good if it is short and describes a large body of input data. With this criterion we show that a system can learn to evaluate arithmetic expressions in polish notation. But we can also judge a program to be good if it allows to compress the total length of descriptions ofall observations so far. By the latter criterion a system can createtests which can be used e.g. to partition the programs found so far into directories.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Birk, Beschreibung und Implementierung eines lernenden Systems. Master's thesis, Universität Saarbrücken (1993).

  2. P. Bergmann, J. Keller, T. Malter, S.M. Müller, W.J. Paul, T. Pöschel, O. Schlüter and L. Thiele, Implementierung eines informationstheoretischen Ansatzes zur Bilderkennung, in:Innovative Informations-Infrastrukturen, III-Forum, eds. B. Gollan, W.J. Paul, and A. Schmitt (Springer, 1988) pp 187–197.

  3. P. Bergmann, W.J. Paul and L. Thiele, An information theoretic approach to computer vision, in:Dynamical Networks, eds. W. Ebeling and M. Peschel (Akademie-Verlag Berlin, 1989) pp. 52–58.

    Google Scholar 

  4. J.G. Carbonell, Paradigms for machine learning, in:Machine Learning Paradigms and Methods, ed. J. Carbonell (MIT Elsevier, 1989) pp. 1–9.

  5. E.M. Gold, Language identification in the limit. Inf. Contr. 10 (1967) 447–474.

    Google Scholar 

  6. D. Haussler, Quantifying inductive bias: AI learning algorithms and Valiant's learning framework, Art. Int. 36 (1988) 177–221.

    Google Scholar 

  7. J.R. Koza,Genetic Programming (The MIT Press, 1992).

  8. L.A. Levin, Universal search problems, Probl. Inf. Transmission 9 (1973) 265–266.

    Google Scholar 

  9. S. Minton, J.G. Carbonell, C.A. Knoblock, D.R. Kuokka, O.Etzioni and Y.Gil, Explanation-based learning: A problem solving perspective, in:Machine Learning Paradigms and Methods, ed. J. Carbonell (MIT Elsevier, 1989) pp. 63–118.

  10. B.K. Natarajan,Machine Learning (Morgan Kaufmann, 1991).

  11. J. Keller P. Bergmann and W.J. Paul, A selforganizing system for image recognition, in:Machine Learning and Neural Networks, ed. M.H. Hamza (IASTED, Acta Press, Anaheim, Calgary, Zürich, 1990) pp. 33–36.

    Google Scholar 

  12. H. Ritter, T. Martinez and K. Schulten,Neuronale Netze (Addison Wesley, 1991).

  13. R.J. Solomonoff, Complexity-based induction systems: Comparisons and convergence theorems, IEEE Trans. Inf. Transmission IT-24 (1978).

  14. R.J. Solomonoff, Optimum sequential search, Technical report, Oxbridge Research, Box 559, Cambridge, MA 02238 (1985).

    Google Scholar 

  15. R.J. Solomonoff, A system for incremental learning based on algorithmic probability, in:Proc. 6th Israeli Conf. on Artificial Intelligence, Computer Vision and Pattern Recognition (1989) pp. 515–527.

  16. L.G. Valiant, A theory of the learnable, Commun. ACM 27 (1984) 1134–1142.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Paul, W.J., Solomonoff, R. Autonomous theory building systems. Ann Oper Res 55, 179–193 (1995). https://doi.org/10.1007/BF02031720

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02031720

Keywords

Navigation