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Piecewise Neural Networks for Function Approximation, Cast in a Form Suitable for Parallel Computation
Author(s) -
Ioannis G. Tsoulos,
I.E. Lagaris,
Aristidis Likas
Publication year - 2002
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-43472-0
DOI - 10.1007/3-540-46014-4_28
Subject(s) - parameterized complexity , computation , computer science , piecewise , artificial neural network , function (biology) , domain (mathematical analysis) , boundary (topology) , function approximation , parallel computing , activation function , algorithm , mathematics , mathematical optimization , artificial intelligence , mathematical analysis , evolutionary biology , biology
We present a technique for function approximation in a partitioned domain. In each of the partitions a form containing a Neural Network is utilized with parameterized boundary conditions. This parameterization renders feasible the parallelization of the computation. Conditions of continuity across the partitions are studied for the function itself and for a number of its derivatives. A comparison is made with traditional methods and the results are reported.

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