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Objective functions for neural map formation

  • Laurenz Wiskott
  • Terrence Sejnowski
Part II: Cortical Maps and Receptive Fields
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1327)

Abstract

A unifying framework for analyzing models of neural map formation is presented based on growth rules derived from objective functions and normalization rules derived from constraint functions. Coordinate transformations play an important role in deriving various rules from the same function. Ten different models from the literature are classified within the objective function framework presented here. Though models may look different, they may actually be equivalent in terms of their stable solutions. The techniques used in this analysis may also be useful in investigating other types of neural dynamics.

Keywords

Objective Function Coordinate Transformation Output Neuron Constraint Function Normalization Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Laurenz Wiskott
    • 1
  • Terrence Sejnowski
    • 1
    • 2
    • 3
  1. 1.Computational Neurobiology LaboratoryThe Salk Institute for Biological StudiesSan Diego
  2. 2.Howard Hughes Medical Institute The Salk Institute for Biological StudiesSan Diego
  3. 3.Department of BiologyUniversity of CaliforniaSan Diego La Jolla

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