Taxonomy of neural transfer functions

The choice of transfer functions may strongly influence complexity and performance of neural networks used in classification and approximation tasks. A taxonomy of activation and output functions is proposed, allowing to generate many transfer functions. Several less-known types of transfer functions and new combinations of activation/output functions are described. Functions parameterize to change from localized to delocalized type, functions with activation based on nonEuclidean distance measures, bicentral functions formed from pairs of sigmoids are discussed.

[1]  Robert Tibshirani,et al.  Discriminant Adaptive Nearest Neighbor Classification , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[3]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[4]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[5]  Yoh-Han Pao,et al.  Adaptive pattern recognition and neural networks , 1989 .

[6]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[7]  G. Dorffner UNIFIED FRAMEWORK FOR MLPs AND RBFNs: INTRODUCING CONIC SECTION FUNCTION NETWORKS , 1994 .

[8]  Wlodzislaw Duch,et al.  Feature space mapping as a universal adaptive system , 1995 .

[9]  Tony R. Martinez,et al.  Improved Heterogeneous Distance Functions , 1996, J. Artif. Intell. Res..

[10]  Krzysztof Grabczewski,et al.  Extraction of logical rules from backpropagation networks , 1998 .

[11]  Norbert Jankowski,et al.  Survey of Neural Transfer Functions , 1999 .

[12]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[13]  Włodzisław Duch,et al.  Methodology of extraction , optimization and application of logical rules , 1999 .

[14]  David J. Spiegelhalter,et al.  Machine Learning, Neural and Statistical Classification , 2009 .

[15]  Visakan Kadirkamanathan,et al.  Statistical Control of RBF-like Networks for Classification , 1997, ICANN.

[16]  Thomas G. Dietterich What is machine learning? , 2020, Archives of Disease in Childhood.

[17]  Sandro Ridella,et al.  Circular backpropagation networks for classification , 1997, IEEE Trans. Neural Networks.

[18]  Huan Liu,et al.  Book review: Machine Learning, Neural and Statistical Classification Edited by D. Michie, D.J. Spiegelhalter and C.C. Taylor (Ellis Horwood Limited, 1994) , 1996, SGAR.