IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v31y1999i3p441-457.html
   My bibliography  Save this article

Nonlinear Estimation with Associative Memories and Machine Evaluation of Derivatives: An Application to Calibrating Spatial Interaction Models

Author

Listed:
  • R E Kalaba

    (Departments of Economics, Electrical Engineering, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089-0042)

  • J E Moore II

    (Department of Civil Engineering, and School of Urban Planning and Development, University of Southern California, Los Angeles, CA 90089-0042)

  • R Xu

    (Department of Economics, State University of New York at Buffalo, Amherst, New York 14260)

  • G J Chen

    (School of Urban Planning and Development, University of Southern California, Los Angeles, CA 90089-0042)

Abstract

In this paper we apply the theory of linear associative memories in producing initial parameter estimates for nonlinear iterative approaches. We also propose the use of FEED (Fast and Efficient Evaluation of Derivatives) to evaluate partial derivatives of functions encountered in nonlinear estimation. Suggested methods are presented in the context of calibrating spatial interaction models and are illustrated through numerical examples.

Suggested Citation

  • R E Kalaba & J E Moore II & R Xu & G J Chen, 1999. "Nonlinear Estimation with Associative Memories and Machine Evaluation of Derivatives: An Application to Calibrating Spatial Interaction Models," Environment and Planning A, , vol. 31(3), pages 441-457, March.
    • Handle: RePEc:sae:envira:v:31:y:1999:i:3:p:441-457
    DOI: 10.1068/a310441
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a310441
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a310441?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Fischer, Manfred M. & Gopal, Sucharita, 1994. "Artificial Neural Networks. A New Approach to Modelling Interregional Telecommunication Flows," MPRA Paper 77822, University Library of Munich, Germany.
    2. Kalaba, R. & Lichtenstein, Z. & Tesfatsion, L., 1989. "Linear And Nonlinear Associative Memories For Parameter Estimation," Papers m8913, Southern California - Department of Economics.
    3. Openshaw, Stan, 1992. "Some Suggestions Concerning the Development of Artificial Intelligence Tools for Spatial Modelling and Analysis in GIS," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 26(1), pages 35-51, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fischer, Manfred M. & Openshaw, Stan, 1995. "A Framework for Research on Spatial Analysis Relevant to Geo-Statistical Informations Systems in Europe," MPRA Paper 77814, University Library of Munich, Germany.
    2. Nijkamp, Peter & Reggiani, Aura & Tsang, Wai Fai, 2004. "Comparative modelling of interregional transport flows: Applications to multimodal European freight transport," European Journal of Operational Research, Elsevier, vol. 155(3), pages 584-602, June.
    3. Nijkamp, Peter & Reggiani, Aura & Sabella, E., 1999. "A comparison of the performance of Discrete Choice Models and Biocomputing Models in Transport Systems Analysis," ERSA conference papers ersa99pa037, European Regional Science Association.
    4. Aura Reggiani & Peter Nijkamp & Enrico Sabella, 1998. "Evolutionary algorithms: Overview and applications to European transport," ERSA conference papers ersa98p412, European Regional Science Association.
    5. Nijkamp, Peter & Reggiani, Aura & Bolis, Simona, 1997. "European freight transport and the environment: empirical applications and scenarios," Serie Research Memoranda 0033, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Fischer, Manfred M. & Reismann, Martin, 2002. "A Methodology for Neural Spatial Interaction Modeling," MPRA Paper 77794, University Library of Munich, Germany.
    7. B Rubenstein-Montano & I Zandi, 1999. "Application of a Genetic Algorithm to Policy Planning: The Case of Solid Waste," Environment and Planning B, , vol. 26(6), pages 893-907, December.
    8. Fischer, Manfred M. & Reismann, Martin & Hlavackova-Schindler, Katerina, 2000. "Evaluating Neural Spatial Interaction. Modelling By Bootstrapping," ERSA conference papers ersa00p370, European Regional Science Association.
    9. Juan Carlos Duque & Raúl Ramos, 2004. "Design of homogenous territorial units: a methodological proposal," ERSA conference papers ersa04p6, European Regional Science Association.
    10. Reggiani, Aura & Nijkamp, Peter & Sabella, Enrico, 2001. "New advances in spatial network modelling: Towards evolutionary algorithms," European Journal of Operational Research, Elsevier, vol. 128(2), pages 385-401, January.
    11. Reggiani, Aura & Nijkamp, Peter & Nobilio, Lucia, 1997. "Spatial modal patterns in European freight transport networks: results of neurocomputing and logit models," Serie Research Memoranda 0029, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    12. Erik Bergkvist, 2001. "The value of time and forecasting of flowsin freight transportation," ERSA conference papers ersa01p271, European Regional Science Association.
    13. Guldmann, Jean-Michel, 1998. "Intersectoral point-to-point telecommunication flows: theoretical framework and empirical results," Regional Science and Urban Economics, Elsevier, vol. 28(5), pages 585-609, September.
    14. Jean-Michel Guldmann, 1998. "Competing destinations and intervening opportunities interaction models of inter-city telecommunication flows," ERSA conference papers ersa98p120, European Regional Science Association.
    15. Fischer, Manfred M., 2006. "Neural Networks. A General Framework for Non-Linear Function Approximation," MPRA Paper 77776, University Library of Munich, Germany.
    16. Fischer, Manfred M. & Gopal, Sucharita & Staufer, Petra & Steinnocher, Klaus, 1995. "Evaluation of Neural Pattern Classifiers for a Remote Sensing Application," MPRA Paper 77811, University Library of Munich, Germany.
    17. Manfred M. Fischer, 2009. "Principles of Neural Spatial Interaction Modeling," Advances in Spatial Science, in: Michael Sonis & Geoffrey J. D. Hewings (ed.), Tool Kits in Regional Science, chapter 8, pages 199-214, Springer.
    18. M M Fischer, 1998. "Computational Neural Networks: A New Paradigm for Spatial Analysis," Environment and Planning A, , vol. 30(10), pages 1873-1891, October.
    19. Aura Reggiani & Peter Nijkamp & Simona Bolis, 1997. "The Role of Transalpine Freight Transport in a Common European Market: Analyses and Empirical Applications," Tinbergen Institute Discussion Papers 97-065/3, Tinbergen Institute.
    20. Agiakloglou, Christos & Karkalakos, Sotiris, 2006. "Estimating Diffusion Rates for Telecommunications: Evidence from European Union," MPRA Paper 45788, University Library of Munich, Germany.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:31:y:1999:i:3:p:441-457. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.