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GMDH-methodology and implementation in C

Author: Godfrey C Onwubolu
Publisher: Covent Garden, London : Imperial College Press, Singapore : World Scientific Publishing Co. Pte. Ltd. [2015] ©2015
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

The Group Method of Data Handling (GMDH) is a typical inductive modeling method built on the principles of self-organization. This book develops error-free codes to end-users so that these codes  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Onwubolu, Godfrey
GMDH-Methodology and Implementation in C
Singapore : Imperial College Press,c2014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Godfrey C Onwubolu
ISBN: 9781848166110 1848166117
OCLC Number: 898125741
Description: 1 online resource : illustrations
Contents: ""Contents""; ""Preface""; ""Organization of the Chapters""; ""Intended Audience""; ""Resources for Readers""; ""About the Editor""; ""List of Contributors""; ""1. Introduction""; ""1.1 Historical Background of GMDH""; ""1.2 Basic GMDH Algorithm""; ""1.2.1 External criteria""; ""1.3 GMDH-Type Neural Networks""; ""1.4 Classification of GMDH Algorithms""; ""1.4.1 Parametric GMDH algorithms""; ""1.4.1.1 Multilayer GMDH""; ""1.4.1.2 Combinatorial GMDH""; ""1.4.1.3 Objective system analysis""; ""1.4.2 Non-parametric GMDH algorithms""; ""1.4.2.1 Objective cluster analysis (OCA)"" ""1.4.2.2 Analogue complexing (AC)""""1.4.2.3 Pointing finger clusterization algorithm""; ""1.5 Rationale for GMDH in C Language""; ""1.6 Available Public Software""; ""1.7 Recent Developments""; ""1.8 Conclusions""; ""References""; ""2. GMDH Multilayered Iterative Algorithm (MIA)""; ""2.1 Multilayered Iterative Algorithm (MIA) Networks""; ""2.1.1 GMDH layers""; ""2.1.2 GMDH nodes""; ""2.1.3 GMDH connections""; ""2.1.4 GMDH network""; ""2.1.5 Regularized model selection""; ""2.1.6 GMDH algorithm""; ""2.2 Computer Code for GMDH-MIA""; ""2.2.1 Compute a tree of quadratic polynomials"" ""2.2.2 Evaluate the Ivakhnenko polynomial using the tree of polynomials generated""""2.2.3 Compute the coefficients in the Ivakhnenko polynomial using the same tree of polynomials generated""; ""2.2.4 Main program""; ""2.3 Examples""; ""2.3.1 Example 1""; ""2.3.2 Example 2""; ""2.4 Summary""; ""References""; ""3. GMDH Multilayered Algorithm Using Prior Information""; ""3.1 Introduction""; ""3.2 Criterion Correction Algorithm""; ""3.3 C++ Implementation""; ""3.3.1 Building sources""; ""3.4 Example""; ""3.5 Conclusion""; ""References""; ""4. Combinatorial (COMBI) Algorithm"" ""4.1 The COMBI Algorithm""""4.2 Usage of the “Structure of Functions�""; ""4.3 Gradual Increase of Complexity""; ""4.4 Implementation""; ""4.5 Output Post-Processing""; ""4.6 Output Interpretation""; ""4.7 Predictive Model""; ""4.8 Summary""; ""References""; ""5. GMDH Harmonic Algorithm""; ""5.1 Introduction""; ""5.2 Polynomial Harmonic Approximation""; ""5.2.1 Polynomial, harmonic and hybrid terms""; ""5.2.2 Hybrid function approximation""; ""5.2.3 Need for hybrid modelling""; ""5.3 GMDH Harmonic""; ""5.3.1 Calculation of the non-multiple frequencies"" ""5.3.2 Isolation of significant harmonics""""5.3.3 Computing of the harmonics""; ""Appendix A. Derivation of the trigonometric equations""; ""A.1 System of equations for the weighting coefficients""; ""A.2 Algebraic equation for the frequencies""; ""A.3 The normal trigonometric equation""; ""References""; ""6. GMDH-Based Modified Polynomial Neural Network Algorithm""; ""6.1 Modified Polynomial Neural Network""; ""6.2 Description of the Program of MPNN Calculation""; ""6.2.1 The software framework (GMDH)""; ""6.2.2 Object-oriented architecture of the software framework""
Responsibility: editor, Godfrey Onwubolu.

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