Recovering Missing Data with Functional and Bayesian Networks

  • Authors:
  • Enrique Castillo;Noelia Sánchez-Maroño;Amparo Alonso-Betanzos;Carmen Castillo

  • Affiliations:
  • Department of Applied Mathematics and Computational Sciences, University of Cantabria, Santander, Spain 39005;Department of Computer Science, University of A Coruña, Coruña, Spain 15071 A;Department of Computer Science, University of A Coruña, Coruña, Spain 15071 A;Department of Continuous Means Mechanics and Structural Theory, University of Granada, Granada, Spain 18071

  • Venue:
  • IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
  • Year:
  • 2009

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Abstract

The paper presents some methods for recovering missing data using functional and Bayesian networks. In the case of a small set of missing data one can consider the missing data as variables and learn them together with the model parameters in the minimization process. If on the contrary, the missing data set is large, one can learn the functional or neural network from complete data and use them to learn the missing data, one case at a time. Finally, some examples of application to illus- trate the methodology are presented. They show how the missing data recovery degenerates as the number of missing data per case increases us- ing an adimensional error measure that allows a direct comparison with the case of all missing data. In addition, the Bayesian network approach seems to give better results than the functional network.