Dipolar Designing Layers of Formal Neurons

  • Leon Bobrowski
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 311)


A layer of formal neurons can perform separable data aggregation. The term (separable data aggregation( means that a number of input vectors belonging to one category (class) are merged by the layer in one output vector with an additional condition that input vectors belonging to different categories are not aggregated. Dipolar principles of separable layers designing are examined in the paper. Hierarchical networks can be designed from separable layers and used for aggregation of all input vectors belonging to one category in an output vector.


separable learning sets separable aggregation formal neurons dipolar layers 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rosenblatt, F.: Principles of neurodynamics. Spartan Books, Washington (1962)zbMATHGoogle Scholar
  2. 2.
    Minsky, M.L., Papert, S.A.: Perceptrons. MIT Press, Cambridge (1969)zbMATHGoogle Scholar
  3. 3.
    Duda, O.R., Hart, P.E., Stork, D.G.: Pattern classification. J. Wiley, New York (2001)zbMATHGoogle Scholar
  4. 4.
    Bobrowski, L.: Eksploracja danych oparta na wypukłych i odcinkowo-liniowych funkcjach kryterialnych (Data mining based on convex and piecewise linear (CPL) criterion functions), Technical University Białystok (2005) (in Polish)Google Scholar
  5. 5.
    Bobrowski, L.: Piecewise-Linear Classifiers, Formal Neurons and Separability of the Learning Sets. In: Proceedings of ICPR 1996, Vienna, pp. 224–228 (1996)Google Scholar
  6. 6.
    Bobrowski, L.: Design of piecewise linear classifiers from formal neurons by some basis exchange technique. Pattern Recognition 24(9), 863–870 (1991)CrossRefGoogle Scholar
  7. 7.
    Bobrowski, L.: Induction of Linear Separability through the Ranked Layers of Binary Classifiers. In: Iliadis, L., Jayne, C. (eds.) EANN/AIAI 2011, Part I. IFIP AICT, vol. 363, pp. 69–77. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  8. 8.
    Quinlan, J.R.: C4.5: Programs for Machine Learning. Morgan Kaufmann Publishers (1993)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Leon Bobrowski
    • 1
    • 2
  1. 1.Faculty of Computer ScienceBiałystok Technical UniversityPoland
  2. 2.Institute of Biocybernetics and Biomedical EngineeringPASWarsawPoland

Personalised recommendations