Intelligent systems modeling and simulation II : machine learning, neural networks, efficient numerical algorithm and statistical methods / / edited by Samsul Ariffin Abdul Karim

• Record Nr.: UNINA9910616395703321
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2022]; ©2022
• ISBN: 9783031040283; 9783031040276
• Descrizione fisica: 1 online resource (687 pages)
• Collana: Studies in Systems, Decision and Control ; ; v.444
• Disciplina: 511.8
• Soggetti: Mathematical models; Problem solving
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- Editor and Contributors -- Introduction -- 1 Introduction -- 2 Executive Summary -- 3 Conclusion -- References -- Physics-Constrained Deep Learning for Isothermal CSTR -- 1 Introduction -- 2 Physics-Constrained Deep Learning -- 3 Research Methodology -- 3.1 Data Preparation -- 3.2 Network Architecture Design -- 3.3 Model Training -- 3.4 Model Validation -- 4 Result and Discussion -- 5 Summary -- References -- Heat Transfer Modelling with Physics-Informed Neural Network (PINN) -- 1 Introduction -- 2 Literature Review -- 2.1 Physics-Informed Neural Network -- 2.2 Heat Equation -- 3 Methodology -- 4 Benefits and Economical Consideration -- 5 Data Collection and Analysis -- 6 Results and Discussion -- 7 Summary -- References -- An Overview on Deep Learning Techniques in Solving Partial Differential Equations -- 1 Introduction -- 2 Deep Neural Networks (DNNs) -- 3 Some Deep Learning Techniques for Solving PDEs -- 3.1 Physics-Informed Neural Networks -- 3.2 Blended Inverse-PDE Network (BiPDE-Net) -- 3.3 Int-Deep -- 4 Optimization Methods -- 4.1 ADAM Method -- 4.2 Adagrad -- 4.3 L-BFGS -- 5 Conclusion -- References -- Solving HornSAT Fuzzy Logic Neuro-symbolic Integration -- 1 Introduction -- 2 Neuro-logic in Hopfield Neural Network -- 2.1 Hopfield Neural Network -- 2.2 ; Logic Programming in Hopfield Neural Network -- 3 Satisfiability Problem -- 3.1 HornSAT Problem -- 4 Fuzzy Logic Technique -- 5 Methodology -- 6 Results and Discussion -- 7 Conclusion -- References -- 3SAT and Fuzzy-HornSAT in Hopfield Neural Network -- 1 Introduction -- 2 Hopfield Neural Network in Logic Programming -- 3 Satisfiability Problem -- 4 Implementation of Fuzzy Logic in Hopfield Neural Network -- 4.1 The Algorithms -- 5 Performance Evaluation Metrics -- 5.1 Performance Evaluation Metric for the Learning Phase.; 5.2 Performance Evaluation Metric for the Retrieval Phase -- 6 Result and Discussion -- 7 Conclusion -- References -- Data-Driven Model with Spatio-Temporal RBFNN: Application to Photovoltaic Module Simulation -- 1 Introduction -- 2 Spatio-Temporal RBF Neural Network -- 2.1 Spatio-temporal RBFNN Training -- 3 PV Model -- 3.1 Newton-Raphson Method -- 3.2 The Solarex MSX60 PV Module -- 4 Experiments Results -- 4.1 SIMULINK PV Model Results -- 5 Conclusions -- References -- Machine Learning Optimization in Computational Advertising-A Systematic Literature Review -- 1 Introduction -- 2 Related Works -- 3 Methodology -- 4 Results and Findings -- 5 Discussion -- 6 Summary -- References -- Data-Driven Macro-economic Model Analysis Using Non-standard Trimean Algorithm -- 1 Introduction -- 2 The Dynamic Interaction Model -- 3 Fitting Observed Data to the Dynamic Model -- 4 Non-standard Trimean Numerical Method -- 5 Experiment -- 6 Result and Discussion -- 7 Summary -- References -- Data-Driven Ordinary Differential Equations Model for Predicting Missing Data and Forecasting Crude Oil Prices -- 1 Introduction -- 2 Prediction Models Imputation -- 2.1 Least-Square Fitted Polynomial Model -- 2.2 Data-Driven Ordinary Differential Equation -- 2.3 Runge-Kutta-Fehlberg -- 3 Experiments -- 4 Results and Discussion -- 5 Summary -- References -- Data Interpolation Using Rational Cubic Ball with Three Parameters -- 1 Introduction -- 2 Methodology -- 2.1 Derivative Estimation -- 2.2 Local Shape Control Analysis -- 3 Curve Interpolation Using Rational Cubic Ball Interpolant -- 3.1 Absolute Error Analysis -- 3.2 Absolute Error Analysis -- 4 Discussion -- 5 Conclusion -- References -- Alpha-Rooting Color Image Enhancement Method for Discrete Fourier Transform and Discrete Quaternion Fourier Transform -- 1 Introduction -- 2 Basics Properties of Quaternion.; 3 Two-Dimensional Discrete Quaternion Fourier Transform -- 4 Numerical Experiments -- 5 Conclusion -- Appendix -- References -- New Norm Disease Resilient Air-Conditioning Control Module -- 1 Introduction -- 1.1 Health Hazards -- 1.2 System Hazards -- 1.3 Key Opportunities -- 2 Methodology -- 2.1 Parametric Identification and Limiters -- 2.2 Components of the Integrated Systems -- 3 Testing Resilience of the Systems -- 4 Summary -- References -- Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method -- 1 Introduction -- 2 Crank-Nicolson Method -- 3 Numerical Crank-Nicolson Method -- 4 Gauss-Seidel Method -- 5 Successive Over Relaxation Method -- 6 Numerical Approach -- 6.1 Formula of Approximation -- 6.2 Formulation and Implementation of Gauss-Seidel Method -- 6.3 Formula and Implementation of Successive Over Relaxation Method -- 7 Numerical Experiments -- 8 Percentage Reduction Calculation -- 9 Conclusion -- Appendixes -- References -- Solution of Peak Junction Temperature with Crank-Nicolson and SOR Approach -- 1 Introduction -- 2 Model of Heat Equation -- 3 Discretization of Crank-Nicolson Method -- 4 Formulation Gauss-Seidel (GS) Method -- 5 Formulation of Successive Over Relaxation (SOR) Method -- 6 Numerical Treatments -- 7 Percentage Reduction Analysis -- 8 Summary -- References -- Using Intelligent Systems ; in Enterprises and Organizations in Russian Regions -- 1 Introduction -- 2 Theoretical and Conceptual Background -- 3 Methodology and Design -- 4 Results of Empirical Data Modeling -- 5 Discussion of Simulation Results -- 6 Summary -- References -- HornSAT Solver Using Agent-Based Modelling in Hopfield Network -- 1 Introduction -- 2 Hopfield Neural Network (HNN) -- 3 Satisfiability -- 4 An Instance of Horn Satisfiability -- 5 Procedures for Development of Our Agent-Based Model HornSAT Solver.; 6 Experimental Build-Up of Our Model -- 7 Results and Discussion -- 8 Summary -- References -- New Operational Matrices of Dejdumrong Polynomials to Solve Linear Fredholm-Volterra-Type Functional Integral Equations -- 1 Introduction -- 2 Dejdumrong Polynomial Representation -- 3 Fundamental Matrix Relations -- 3.1 The Representation of Differential Part in Matrix Form -- 3.2 The Representation of Integral Part mathcalV(t) in Matrix Form -- 3.3 The Representation of the Initial Conditions in Matrix Form -- 4 Method of Solution -- 5 Error Estimation -- 6 Numerical Examples -- 7 Conclusion -- References -- Modelling the Covid-19 Pandemic for a Small Population Size -- 1 Introduction -- 2 Prediction of Disease Spread Using Kermack/McKendrick (KM) SIR Epidemic Model -- 2.1 Terminology -- 2.2 Assumptions -- 2.3 Deterministic Solution -- 3 Results and Discussion -- 3.1 SIR Model for Full Population of Brunei Darussalam -- 3.2 SIR Model for Washing Hands and Wearing Masks -- 3.3 SIR Model for Social Distancing -- 3.4 Comparing SIR Model for Social Distancing with Brunei Situation -- 4 Conclusion -- References -- Efficient Iterative Approximation for Nonlinear Porous Medium Equation with Drainage Model -- 1 Introduction -- 2 Construction of a Quarter-Sweep Approximation -- 3 Stability Analysis -- 4 Derivation of a Quarter-Sweep Modified Successive Over-Relaxation -- 5 Numerical Experiment -- 6 Conclusion -- References -- A Bi-variate Relaxed Four-Point Approximating Subdivision Scheme -- 1 Introduction -- 2 Relaxed Four-Point -- 2.1 Necessary Condition for Convergence of the Scheme -- 3 Continuity of the Scheme -- 3.1 Polynomial Generation -- 3.2 Holder Regularity -- 3.3 Joint Spectral Radius -- 3.4 Local Analysis with Invariant Neighborhood -- 4 Construction and Analysis of Relaxed Four-Point Tensor Product Scheme.; 4.1 Analysis of Relaxed Four-Point Tensor Product Scheme -- 5 Numerical Examples -- 6 Conclusion and Future Work -- References -- Application of Bernstein Collocation Solutions for Solving Second Kind Volterra-Fredholm Integral Equations -- 1 Introduction -- 2 Volterra-Fredholm Integral Equations and Recent Methods -- 3 Derivation of Bernstein Collocation Approximation Equation -- 4 Performance Analysis of Numerical Experiments -- 5 Summary -- References -- Mathematical Modelling for COVID-19 Dynamics with Vaccination Class -- 1 Introduction -- 2 Model Formulation -- 3 Basic Properties of the Model -- 4 Equilibrium Solutions and the Basic Reproduction Number -- 5 Stability Analysis of the Equilibrium Solutions -- 5.1 Local Stability and Instability of the DFE -- 5.2 Global Stability of the Equilibrium Points -- 6 Numerical Simulations of the Model -- 7 Summary and Conclusion -- References -- Numerical Method for the System of Volterra-Fredholm Integral Equations and Its Convergence Analysis -- 1 Introduction -- 2 Description of the Proposed Technique -- 3 Stability and Convergence Analysis -- 4 Numerical Examples -- 5 Conclusion and Further Work -- References -- Continuity of Solution Mappings for Parametric Quasi-equilibria -- 1 Introduction -- 2 Preliminaries -- 3 Continuity of Solution Mappings -- 4 Application to Parametric Social Nash Equilibria -- References -- Pitt's Inequality for ; Offset Quaternion Linear Canonical Transform -- 1 Introduction -- 2 Quaternion Algebra and Basic Properties -- 3 Two-Sided Quaternion Fourier Transform -- 4 Quaternion Linear Canonical Transform (QLCT) -- 5 Offset Quaternion Linear Canonical Transform (OQLCT) -- 6 Pitt's Inequality for OQLCT -- 7 Conclusion -- References -- The Study of the Trend of Dengue Cases in Brunei Darussalam -- 1 Introduction -- 2 Data Collection and Forecasting Using Time Series.; 2.1 Deseasonalised Data.