Neural network methods for one-to-many multi-valued mapping problems

  • Authors:
  • Chrisina Jayne;Andreas Lanitis;Chris Christodoulou

  • Affiliations:
  • London Metropolitan University, 166-220 Holloway Road, N7 8DB, London, UK;Cyprus University of Technology, Department of Multimedia and Graphic Arts, P. O. Box 50329, 31 Archbishop Kyprianos Street, 3603, Lemesos, Cyprus;University of Cyprus, Department of Computer Science, P.O. Box 20537, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

  • Venue:
  • Neural Computing and Applications - Special Issue on EANN 2009
  • Year:
  • 2011

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Abstract

An investigation of the applicability of neural network-based methods in predicting the values of multiple parameters, given the value of a single parameter within a particular problem domain is presented. In this context, the input parameter may be an important source of variation that is related with a complex mapping function to the remaining sources of variation within a multivariate distribution. The definition of the relationship between the variables of a multivariate distribution and a single source of variation allows the estimation of the values of multiple variables given the value of the single variable, addressing in that way an ill-conditioned one-to-many mapping problem. As part of our investigation, two problem domains are considered: predicting the values of individual stock shares, given the value of the general index, and predicting the grades received by high school pupils, given the grade for a single course or the average grade. With our work, the performance of standard neural network-based methods and in particular multilayer perceptrons (MLPs), radial basis functions (RBFs), mixture density networks (MDNs) and a latent variable method, the general topographic mapping (GTM), is compared. According to the results, MLPs and RBFs outperform MDNs and the GTM for these one-to-many mapping problems.