000			02679nam a2200289za04500
001			17675
003			CoBo-ECI
005			20250722154953.0
008			050703s2011 gw eng d
020			_a9783642214318 99783642214318
082			_a006.3 _b223
100			_aAnastassiou, George A. _935064
245			_aIntelligent Systems: _bApproximation by Artificial Neural Networks _h[electronic resource] / _cGeorge A. Anastassiou.
300			_aVIII, 108 p. _bonline resource.
490			_aIntelligent Systems Reference Library
490			_x-1868-4394 ; _v-19
505			_aUnivariate sigmoidal neural network quantitative approximation -- Univariate hyperbolic tangent neural network quantitative approximation -- Multivariate sigmoidal neural network quantitative approximation -- Multivariate hyperbolic tangent neural network quantitative approximation.
520			_aThis brief monograph is the first one to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Here we study with rates the approximation properties of the "right" sigmoidal and hyperbolic tangent artificial neural network positive linear operators. In particular we study the degree of approximation of these operators to the unit operator in the univariate and multivariate cases over bounded or unbounded domains. This is given via inequalities and with the use of modulus of continuity of the involved function or its higher order derivative. We examine the real and complex cases. áFor the convenience of the reader, the chapters of this book are written in a self-contained style. This treatise relies on author's last two years of related research work. Advanced courses and seminars can be taught out of this brief book. All necessary background and motivations are given per chapter. A related list of references is given also per chapter. The exposed results are expected to find applications in many areas of computer science and applied mathematics, such as neural networks, intelligent systems, complexity theory, learning theory, vision and approximation theory, etc. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also for all science libraries.
650			_aEngineering. _996
650			_aArtificial intelligence. _933648
650			_923197 _aMATHEMATICS
650			_aArtificial Intelligence (incl. Robotics). _923200
650			_933763 _aCOMPUTATIONAL INTELIGENCE
650			_934169 _aAPPLICATIONS OF MATHEMATICS.
856			_uhttp://springer.escuelaing.metaproxy.org/book/10.1007/978-3-642-21431-8 _yir a documento _qURL
942			_2ddc _cCF
999			_c14300 _d14300