Regularized Knowledge-Based Kernel Machine

  • Authors:
  • Olutayo O. Oladunni;Theodore B. Trafalis

  • Affiliations:
  • School of Industrial Engineering, The University of Oklahoma 202 West Boyd, CEC 124 Norman, OK 73019, USA;School of Industrial Engineering, The University of Oklahoma 202 West Boyd, CEC 124 Norman, OK 73019, USA

  • Venue:
  • ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
  • Year:
  • 2007

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Abstract

This paper presents a knowledge-based kernel classification model for binary classification of sets or objects with prior knowledge. The prior knowledge is in the form of multiple polyhedral sets belonging to one or two classes, and it is introduced as additional constraints into a regularized knowledge-based optimization problem. The resulting formulation leads to a least squares problem that can be solved using matrix or iterative methods. To evaluate the model, the experimental laminar & turbulent flow data and the Reynolds number equation used as prior knowledge were used to train and test the proposed model.