Discovery Science

Volume 3735 of the series Lecture Notes in Computer Science pp 253-266

SCALETRACK: A System to Discover Dynamic Law Equations Containing Hidden States and Chaos

  • Takashi WashioAffiliated withI.S.I.R., Osaka University
  • , Fuminori AdachiAffiliated withI.S.I.R., Osaka University
  • , Hiroshi MotodaAffiliated withI.S.I.R., Osaka University

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This paper proposes a novel system to discover simultaneous time differential law equations reflecting first principles underlying objective processes. The system has the power to discover equations containing hidden state variables and/or representing chaotic dynamics without using any detailed domain knowledge. These tasks have not been addressed in any mathematical and engineering domains in spite of their essential importance. Its promising performance is demonstrated through applications to both mathematical and engineering examples.