Welcome to the POLYNOMIAL NEURAL NETWORKs!
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The Polynomial Neural Network (PNN) algorithm[1,2] is also known
as Iterational Algorithm of Group Methods of Data Handling (GMDH). GMDH were
originally proposed by Prof. A.G. Ivakhnenko. PNN correlates input and
target variables using (non) linear regression. In this particular
software the user can define the desired properties of the solution such
as the number of terms and
the maximum degree of polynoms
using an approach proposed by Prof. Yu.P.Yurachkovsky.
This software was developed by here.
Acknowledgment This software was developed with
partial financial support from INTAS
and University of Lausanne.
- Aksyonova, T. I.; Volkovich, V. V.; Tetko, I. V. Robust Polynomial Neural Networks in Quantitative-Structure Activity Relationship Studies, SAMS, 2003, 43, 1331-1339, article.
- Tetko, I. V.; Aksenova, T. I.; Volkovich, V. V.; Kasheva, T. N.; Filipov, D. V.; Welsh, W. J.; Livingstone, D. J.; Villa, A. E. P. Polynomial neural network for linear and non-linear model selection in quantitative-structure activity relationship studies on the internet, SAR QSAR Environ. Res., 2000, 11, 263-80, article.
- Yurachkovsky, Y.P. "Restoration of Polynomial Dependencies Using Self-Organization." Soviet Automatic Control, 1981, 14, 17-22.