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GMDH-methodology and implementation in C / editor, Godfrey Onwubolu.

Contributor(s): Material type: TextTextPublisher: Covent Garden, London : Imperial College Press, [2015]Manufacturer: Singapore : World Scientific Publishing Co. Pte. Ltd.Copyright date: ©2015Description: 1 online resource : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781848166110
  • 1848166117
Subject(s): Genre/Form: Additional physical formats: Print version:: GMDH-Methodology and Implementation in C.DDC classification:
  • 003.7 23
LOC classification:
  • QA278.2
Online resources:
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""
Summary: Group Method of Data Handling (GMDH) is a typical inductive modeling method built on the principles of self-organization. Since its introduction, inductive modeling has been developed and applied to complex systems in areas like prediction, modeling, clusterization, system identification, as well as data mining and knowledge extraction technologies, to several fields including social science, science, engineering, and medicine. This book makes error-free codes available to end-users so that these codes can be used to understand the implementation of GMDH, and then create opportunities to further develop the variants of GMDH algorithms. C-language has been chosen because it is a basic language commonly taught in the first year in computer programming courses in most universities and colleges, and the compiled versions could be used for more meaningful practical applications where security is necessary.
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Online resource; title from PDF title page (Ebsco, viewed Dec. 16, 2014).

Includes bibliographical references and index.

""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""

Group Method of Data Handling (GMDH) is a typical inductive modeling method built on the principles of self-organization. Since its introduction, inductive modeling has been developed and applied to complex systems in areas like prediction, modeling, clusterization, system identification, as well as data mining and knowledge extraction technologies, to several fields including social science, science, engineering, and medicine. This book makes error-free codes available to end-users so that these codes can be used to understand the implementation of GMDH, and then create opportunities to further develop the variants of GMDH algorithms. C-language has been chosen because it is a basic language commonly taught in the first year in computer programming courses in most universities and colleges, and the compiled versions could be used for more meaningful practical applications where security is necessary.

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