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Surrogate Methods
Introduction
Computing environment setup
Python and Jupyter notebook resources
Review of Numerical Methods and Probability
Error estimation for iterative method
Numerical Differentiation
Uniform Distribution
Normal Distribution
Problem Formulation
Local Optimization
Unconstrained Optimization
Constrained Optimization
Global Optimization
Multistart Gradient-based Optimization
Particle Swarm Optimization
Differential Evolution
Sampling Plans
Basic Surrogate Models
Linear Model
Polynomial Model
Radial Basis Function Model
Gaussian Process based Models
Sequential Sampling
Exploitation
Exploration
Lower Confidence Bound
Probability of Improvement
Expected Improvement
Constrained Sequential Sampling
Constrained Exploitation
Constrained Exploration
Constrained Expected Improvement
Sensitivity Analysis
Local Sensitivity Analysis
Global Sensitivity Analysis
Dimensionality Reduction
Dimensionality Reduction Methods
Sequential Sampling using Dimensionality Reduction
Engineering Modeling and Design Optimization
Multiobjective Optimization
Multiobjective optimization using differential evolution
Multiobjective optimization using Kriging models
Uncertainty Analysis
Optimization under uncertainty
Robust Design
Reliability-based Design
Index