PAMELI: A Meta-Algorithm for Computationally Expensive Multi-Objective Optimization Problems

03/19/2021
by   Santiago Cuervo, et al.
7

We present an algorithm for multi-objective optimization of computationally expensive problems. The proposed algorithm is based on solving a set of surrogate problems defined by models of the real one, so that only solutions estimated to be approximately Pareto-optimal are evaluated using the real expensive functions. Aside of the search for solutions, our algorithm also performs a meta-search for optimal surrogate models and navigation strategies for the optimization landscape, therefore adapting the search strategy for solutions to the problem as new information about it is obtained. The competitiveness of our approach is demonstrated by an experimental comparison with one state-of-the-art surrogate-assisted evolutionary algorithm on a set of benchmark problems.

READ FULL TEXT

page 1

page 9

page 10

page 13

research
04/19/2023

Rank-Based Learning and Local Model Based Evolutionary Algorithm for High-Dimensional Expensive Multi-Objective Problems

Surrogate-assisted evolutionary algorithms have been widely developed to...
research
03/29/2022

A Two-phase Framework with a Bézier Simplex-based Interpolation Method for Computationally Expensive Multi-objective Optimization

This paper proposes a two-phase framework with a Bézier simplex-based in...
research
10/10/2021

Surrogate-Assisted Reference Vector Adaptation to Various Pareto Front Shapes for Many-Objective Bayesian Optimization

We propose a surrogate-assisted reference vector adaptation (SRVA) metho...
research
07/05/2021

ParDen: Surrogate Assisted Hyper-Parameter Optimisation for Portfolio Selection

Portfolio optimisation is a multi-objective optimisation problem (MOP), ...
research
04/09/2023

Experience-Based Evolutionary Algorithms for Expensive Optimization

Optimization algorithms are very different from human optimizers. A huma...
research
07/26/2021

Parallel Surrogate-assisted Optimization Using Mesh Adaptive Direct Search

We consider computationally expensive blackbox optimization problems and...
research
07/18/2023

Landscape Surrogate: Learning Decision Losses for Mathematical Optimization Under Partial Information

Recent works in learning-integrated optimization have shown promise in s...

Please sign up or login with your details

Forgot password? Click here to reset