Evolutionary Optimization of Computationally Expensive Problems via Surrogate Modeling
@article{Ong2003EvolutionaryOO, title={Evolutionary Optimization of Computationally Expensive Problems via Surrogate Modeling}, author={Yew Soon Ong and Prasanth B. Nair and Andy J. Keane}, journal={AIAA Journal}, year={2003}, volume={41}, pages={687-696} }
We present a parallel evolutionary optimization algorithm that leverages surrogate models for solving computationally expensive design problems with general constraints, on a limited computational budget. The essential backbone of our framework is an evolutionary algorithm coupled with a feasible sequential quadratic programming solver in the spirit of Lamarckian learning. We employ a trust-region approach for interleaving use of exact…
Figures and Tables from this paper
563 Citations
Combining Global and Local Surrogate Models to Accelerate Evolutionary Optimization
- Computer ScienceIEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews)
- 2007
A novel surrogate-assisted evolutionary optimization framework that uses computationally cheap hierarchical surrogate models constructed through online learning to replace the exact computationally expensive objective functions during evolutionary search.
Hybrid evolutionary algorithm with Hermite radial basis function interpolants for computationally expensive adjoint solvers
- Computer ScienceComput. Optim. Appl.
- 2008
An evolutionary algorithm hybridized with a gradient-based optimization technique in the spirit of Lamarckian learning for efficient design optimization is presented and the idea of using Hermite interpolation to construct gradient-enhanced radial basis function networks that incorporate sensitivity data provided by the adjoint Euler solver is proposed.
Hierarchical surrogate-assisted evolutionary optimization framework
- Computer ScienceProceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)
- 2004
A hierarchical surrogate-assisted evolutionary optimization framework using a Kriging global surrogate model is used to screen the population for individuals that undergo Lamarckian learning and shows that the proposed approach leads to a further acceleration of the evolutionary search process.
Lipschitz-based Surrogate Model for High-dimensional Computationally Expensive Problems
- Computer ScienceArXiv
- 2022
The experimental results show that the proposed method utilizing the Lipschitz-based surrogate model is competitive compared with the state-of-the-art algorithms under a limited computational budget, being especially effective for the very complicated benchmark functions in high dimensions.
Surrogate-Assisted Evolutionary Optimization Frameworks for High-Fidelity Engineering Design Problems
- Computer Science
- 2005
This chapter presents frameworks that employ surrogate models for solving computationally expensive optimization problems on a limited computational budget and the key factors responsible for the success of these frameworks are discussed.
Evolutionary algorithms-based parallel simulation-optimization framework for solving inverse problems
- Computer Science
- 2007
The results tend to confirm the effectiveness of the parallel simulation and surrogate modeling for improving the simulation model executing time and support and illustrate the advantage of using the newly developed EA-based parallel hybrid and noisy genetic algorithms that enhance the efficiency of solving the inverse problem.
Efficient Use of Partially Converged Simulations in Evolutionary Optimization
- Computer ScienceIEEE Transactions on Evolutionary Computation
- 2017
This paper proposes a mechanism that is capable of learning the appropriate simulation run length for each solution and provides much better solution quality than a strategy of progressively increasing the fidelity level over the course of optimization.
Integrating surrogate modeling to improve DIRECT, DE and BA global optimization algorithms for computationally intensive problems
- Computer Science
- 2018
Improvements have been made to three widely used global optimization algorithms, Divided Rectangles (DIRECT), Differential Evolution (DE), and Bat Algorithm (BA) by integrating appropriate surrogate modeling methods to increase the computation efficiency of these algorithms to support MBD.
Combining Lipschitz and RBF surrogate models for high-dimensional computationally expensive problems
- Computer ScienceInf. Sci.
- 2023
Generalizing Surrogate-Assisted Evolutionary Computation
- Computer ScienceIEEE Transactions on Evolutionary Computation
- 2010
Using surrogate models in evolutionary search provides an efficient means of handling today's complex applications plagued with increasing high-computational needs. Recent surrogate-assisted…
References
SHOWING 1-10 OF 46 REFERENCES
Hierarchical surrogate-assisted evolutionary optimization framework
- Computer ScienceProceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)
- 2004
A hierarchical surrogate-assisted evolutionary optimization framework using a Kriging global surrogate model is used to screen the population for individuals that undergo Lamarckian learning and shows that the proposed approach leads to a further acceleration of the evolutionary search process.
Global convergence of unconstrained and bound constrained surrogate-assisted evolutionary search in aerodynamic shape design
- Computer ScienceThe 2003 Congress on Evolutionary Computation, 2003. CEC '03.
- 2003
The proposed framework guarantees global convergence by inheriting the properties of trust-region method to interleave use of the exact solver for the objective function with computationally cheap surrogate models during local search.
A rigorous framework for optimization of expensive functions by surrogates
- Computer Science
- 1998
The goal of the research reported here is to develop rigorous optimization algorithms to apply to some engineering design problems for which direct application of traditional optimization approaches…
A framework for managing models in nonlinear optimization of computationally expensive functions
- Computer Science
- 1999
This thesis will build on the fundamental ideas and theory of pattern search optimization methods to develop a rigorous methodology for model management, which allows for the reuse of existing modeling and optimization software, and results for several test problems will be presented.
Convergence of Trust Region Augmented Lagrangian Methods Using Variable Fidelity Approximation Data
- Computer Science
- 1997
The authors develop a formal proof of convergence for the response surface approximation based optimization algorithm and show that response surface approximations constructed from variable fidelity data generated during concurrent subspace optimizations (CSSOs) can be effectively managed by the trust region model management strategy.
Kriging as a surrogate fitness landscape in evolutionary optimization
- Computer ScienceArtificial Intelligence for Engineering Design, Analysis and Manufacturing
- 2001
This paper presents the use of kriging interpolation as a function approximation method for the construction of an internal model of the fitness landscape, intended to guide the search process with a reduced number of fitness function evaluations.
A trust-region framework for managing the use of approximation models in optimization
- Computer Science
- 1997
An analytically robust, globally convergent approach to managing the use of approximation models of varying fidelity in optimization, based on the trust region idea from nonlinear programming, which is shown to be provably convergent to a solution of the original high-fidelity problem.
Genetic algorithm optimization of multi-peak problems: studies in convergence and robustness
- Computer ScienceArtif. Intell. Eng.
- 1995
Metamodeling Techniques For Evolutionary Optimization of Computationally Expensive Problems: Promises and Limitations
- Computer ScienceGECCO
- 1999
This work presents a general framework for coupling metamodeling techniques with evolutionary algorithms to reduce the computational burden of solving this class of optimization problems.
Multiparameter structural optimization using FEM and multipoint explicit approximations
- Mathematics
- 1993
A unified approach to various problems of structural optimization, based on approximation concepts, is presented. The approach is concerned with the development of the iterative technique, which uses…