KAM: A System for Intelligently Guiding Numerical Experimentation by Computer - Couverture rigide

Yip, Kenneth Man-Kam

 
9780262240345: KAM: A System for Intelligently Guiding Numerical Experimentation by Computer
Couverture rigide
ISBN 10 : 0262240343 ISBN 13 : 9780262240345
Editeur : The MIT Press, 1991

Synopsis

In a cross-disciplinary study that has important implications for research in artificial intelligence and complex nonlinear dynamics, Yip shows how to automate key aspects of this style of reasoning.

Scientists and engineers routinely use graphical representations to organize their thoughts and as parts of the process of solving verbally presented problems. In a cross-disciplinary study that has important implications for research in artificial intelligence and complex nonlinear dynamics, Yip shows how to automate key aspects of this style of reasoning. He demonstrates the basic feasibility of intelligently guided numerical experimentation in a computational theory and a system for implementing the theory. The system, called KAM, is the first computer system that can intelligently guide numerical experimentation and interpret the numerical results in high-level, conceptual terms. KAM's ability to steer numerical experiments arises from the fact that it not only produces images but also looks at the pictures it draws to guide its own actions. By combining techniques from computer vision with sophisticated dynamical invariants, KAM is able to exploit mathematical knowledge, encoded as visual consistency constraints on the phase space and parameter space, to constrain its search for interesting behaviors. The approach is applied to Hamiltonian systems with two degrees of freedom, an area that is currently of great physical interest, and its power is tested in a difficult problem in hydrodynamics, for which KAM helps derive previously unknown publishable results.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Kenneth Man-Kam Yip is Assistant Professor in the Computer Science Department at Yale University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
The MIT Press
Date d'édition
1991
Langue
anglais
ISBN 10 
0262240343
ISBN 13 
9780262240345
Reliure
Relié
Nombre de pages
260
Coordonnées du fabricant
non disponible
Personne responsable
non disponible