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Principles of Neural Spatial Interaction Modeling


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  • Manfred M. Fischer



Neural spatial interaction models are receiving much attention in recent years because of their powerful universal approximation properties. They are essentially devices for non-parametric statistical inference, providing an elegant formalism. Neural spatial interaction models have shown considerable successes in a variety of application contexts. The paper discusses a novel modular methodology for neural spatial interaction model identification. We briefly introduce the motivation for the two main constituent components of the methodology: model selection and model adequacy testing. Then we discuss the issues involved in model selection and make a clear distinction between the problems of estimation and model specification. Though major emphasis will be laid on the case of unconstraint spatial interaction, some attention will be paid also to the singly constrained case. The methodology will be illustrated in a real world context. KEYWORDS: Neural Spatial Interaction Models; Model Selection and Model Adequacy Testing; Unconstraint Spatial Interaction.

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Paper provided by European Regional Science Association in its series ERSA conference papers with number ersa03p526.

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Date of creation: Aug 2003
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Handle: RePEc:wiw:wiwrsa:ersa03p526

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  1. Manfred M. Fischer & Katerina Hlavácková-Schindler & Martin Reismann, 1999. "articles: A global search procedure for parameter estimation in neural spatial interaction modelling," Papers in Regional Science, Springer, Springer, vol. 78(2), pages 119-134.
  2. Fischer, M.M. & Nijkamp, P., 1992. "Geographic information systems and spatial analysis," Serie Research Memoranda, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics 0054, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  3. Fischer, Manfred M. & Reismann, Martin & Hlavackova-Schindler, Katerina, 2000. "Evaluating Neural Spatial Interaction. Modelling By Bootstrapping," ERSA conference papers, European Regional Science Association ersa00p370, European Regional Science Association.
  4. Fischer, Manfred M. & Reismann, Martin, 2002. "A methodology for neural spatial interaction modelling," ERSA conference papers, European Regional Science Association ersa02p034, European Regional Science Association.
  5. Manfred M. Fischer & Yee Leung, 1998. "A genetic-algorithms based evolutionary computational neural network for modelling spatial interaction data," ERSA conference papers, European Regional Science Association ersa98p478, European Regional Science Association.
  6. A. P. Thirlwall, 1983. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., M.E. Sharpe, Inc., vol. 5(3), pages 341-344, April.
  7. A. Meltzer & Peter Ordeshook & Thomas Romer, 1983. "Introduction," Public Choice, Springer, Springer, vol. 41(1), pages 1-5, January.
  8. Manfred M. Fischer & Martin Reismann, 2001. "Neural Network Modelling of Constrained Spatial Interaction Flows," ERSA conference papers, European Regional Science Association ersa01p165, European Regional Science Association.
  9. Mozolin, M. & Thill, J. -C. & Lynn Usery, E., 2000. "Trip distribution forecasting with multilayer perceptron neural networks: A critical evaluation," Transportation Research Part B: Methodological, Elsevier, Elsevier, vol. 34(1), pages 53-73, January.
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