Surrogates and Approximations in Engineering Design

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Surrogates and Approximations in Engineering Design

The functional purpose and design constraints are frequently approximated in engineering design by connecting the design variables and the responses of interest at a few locations in the design space. Surrogates are commonly employed in design studies since they are approximations of the underlying functionalities.

This course will introduce such surrogates, as well as how to develop, assess, and apply them in design. Polynomial regression, kriging, and radial basis function will be discussed as surrogates, whereas Latin hypercube sampling and Hammersley sequence will be discussed as the design of experiments.

Surrogates and Approximations Course Outline

Week 1: Overview, physical vs. computational experiments, engineering optimization, and the use of surrogates in optimization

Week 2: Sampling plans, Latin squares, Latin hypercubes, stratification, orthogonal arrays, and Hammersley sequencesSurrogates in

Week 3: Polynomial Regression, Radial Basis Function, and Kriging

Week 4: Infill criteria, adaptive sampling, and the use of surrogates in design space exploration and exploitation

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Course Content

Lecture 1 – Overview and Motivation of Course

  • Lecture 2 – Basic Optimization Problem Formulation
    00:00
  • Lecture 3 – Problem Formulation Example
    00:00
  • Lecture 4 – Calculus related to Optimization
    00:00
  • Lecture 5 – The big picture – Overview
    00:00
  • Lecture 6 – Introduction to DOE – 1
    00:00
  • Lecture 7 – Introduction to DOE – 2
    00:00
  • Lecture 8 – Types of DOE – 1
    00:00
  • Lecture 9 – Types of DOE – 2 and some examples
    00:00
  • Lecture 10 – Introduction to surrogate modeling
    00:00
  • Lecture 11 – Types of surrogate – Polynomial models
    00:00
  • Lecture 12 – Radial basis function – 1
    00:00
  • Lecture 13 – Radial basis function – 2
    00:00
  • Lecture 14 – Kriging – 1
    00:00
  • Lecture 15 – Kriging – 2
    00:00
  • Lecture 16 – Metamodels for Safe and Efficient Automotive Structures
    00:00
  • Lecture 17 – Exploration and Exploitation in Surrogates
    00:00
  • Lecture 18 – Errors Based Exploration
    00:00
  • Lecture 19 – Ensemble of Surrogates
    00:00

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