Skip to main content

Toward the Discovery of First Principle Based Scientific Law Equations

  • Chapter
  • First Online:
Progress in Discovery Science

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2281))

  • 503 Accesses

Abstract

Conventional work on scientific discovery such as BACON derives empirical law equations from experimental data. In recent years, SDS introducing mathematical admissibility constraints has been proposed to discover first principle based law equations, and it has been further extended to discover law equations from passively observed data. Furthermore, SSF has been proposed to discover the structure of a simultaneous equation model representing an objective process through experiments. In this report, the progress of these studies on the discovery of first principle based scientific law equations is summarized, and the future directions of this research are presented.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Langley, P. W., Simon, H. A., Bradshaw, G. L. and Zytkow, J. M.: Scientific Discovery; Computational Explorations of the Creative Process, MIT Press, Cambridge, Massachusetts (1987)

    Google Scholar 

  2. Koehn, B. and Zytkow, J. M.: Experimenting and theorizing in theory formation. In Proceedings of the International Symposium on Methodologies for Intelligent Systems, ACM SIGART Press (1986) 296–307

    Google Scholar 

  3. Falkenhainer, Br. C. and Michalski, R. S.: Integrating Quantitative and Qualitative Discovery: The ABACUS System. In Machine Learning, Boston, Kluwer Academic Publishers (1986) 367–401

    Google Scholar 

  4. Kokar, M. M.: Determining Arguments of Invariant Functional Descriptions. In Machine Learning, Boston, Kluwer Academic Publishers (1986) 403–422

    Google Scholar 

  5. Washio, T. and Motoda, H.: Discovering Admissible Models of Complex Systems Based on Scale-Types and Identity Constraints, In Proceedings of IJCAI’97, Vol.2, Nagoya (1997) 810–817

    Google Scholar 

  6. Washio, T., Motoda, H. and Niwa, Y.: Discovering admissible model equations from observed data based on scale-types and identity constraints. In Proceedings of IJCAI’99, Vol.2 (1999) 772–779

    Google Scholar 

  7. Washio T. and Motoda, H.: Discovering Admissible Simultaneous Equations of Large Scale Systems, In Proceedings of AAAI’98, Madison (1998) 189–196

    Google Scholar 

  8. Ljung, L.: System Identification, P T R Prentice-Hall (1987)

    Google Scholar 

  9. Stevens S.S.: On the Theory of Scales of Measurement, In Science (1946) 677–680

    Google Scholar 

  10. Torgerson, W. S.: In Theory and Methods of Scaling, N.Y.: J. Wiley (1958)

    Google Scholar 

  11. Dzeroski, S. and Todorovski, L.: Discovering Dynamics: From Inductive Logic Programming to Machine Discovery. In Journal of Intelligent Information Systems, Boston, Kluwer Academic Publishers (1994) 1–20

    Google Scholar 

  12. Todorovski, L. and Dzeroski, S.: Declarative Bias in Equation Discovery, In Proceeding of the fourteenth International Conference on Machine Learning, San Mateo, CA, Morgan Kaufmann (1997) 376–384

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Washio, T., Motoda, H. (2002). Toward the Discovery of First Principle Based Scientific Law Equations. In: Arikawa, S., Shinohara, A. (eds) Progress in Discovery Science. Lecture Notes in Computer Science(), vol 2281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45884-0_42

Download citation

  • DOI: https://doi.org/10.1007/3-540-45884-0_42

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43338-5

  • Online ISBN: 978-3-540-45884-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics