Perpertual Coupled Simulated Annealing for Continuous Optimization

Fuente: arXiv
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Autori principali: Gonçalves-e-Silva, Kayo, Xavier-de-Souza, Samuel
Natura: Preprint
Pubblicazione: 2018
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author Gonçalves-e-Silva, Kayo
Xavier-de-Souza, Samuel
author_facet Gonçalves-e-Silva, Kayo
Xavier-de-Souza, Samuel
contents Global optimization heuristics are popular to optimize hard non-convex problems. Despite their irrefutably large cost-to-solution, in the lack of other working greedy or convex approaches, global optimization algorithms remain the no-brainer choice. Nevertheless, successful use often requires tedious adjustments to initial parameters to avoid premature convergence. The Coupled Simulated Annealing approach proposed a method based on the coupling of multiple optimizers to escape premature convergence, having achieved success in optimizing hyperparameters of many applications of machine learning; however, a careful choice of the generation temperature is still required. In this paper we propose the Perpetual Orbit technique as a solution to control the generation temperature and avoid search stagnation. In principle, this technique can also be applied to other ensemble- and population-based algorithms that have a dispersion variable. The results of our experiments show superior performance when using the proposed technique because it makes the Couple Simulated Annealing totally parameter-free and capable of reaching equal or better solutions in more than 85\% cases across all functions and competitor methods analyzed.
format Preprint
id arxiv_https___arxiv_org_abs_1803_01059
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Perpertual Coupled Simulated Annealing for Continuous Optimization
Gonçalves-e-Silva, Kayo
Xavier-de-Souza, Samuel
Optimization and Control
90C30, 90C56, 90C59
Global optimization heuristics are popular to optimize hard non-convex problems. Despite their irrefutably large cost-to-solution, in the lack of other working greedy or convex approaches, global optimization algorithms remain the no-brainer choice. Nevertheless, successful use often requires tedious adjustments to initial parameters to avoid premature convergence. The Coupled Simulated Annealing approach proposed a method based on the coupling of multiple optimizers to escape premature convergence, having achieved success in optimizing hyperparameters of many applications of machine learning; however, a careful choice of the generation temperature is still required. In this paper we propose the Perpetual Orbit technique as a solution to control the generation temperature and avoid search stagnation. In principle, this technique can also be applied to other ensemble- and population-based algorithms that have a dispersion variable. The results of our experiments show superior performance when using the proposed technique because it makes the Couple Simulated Annealing totally parameter-free and capable of reaching equal or better solutions in more than 85\% cases across all functions and competitor methods analyzed.
title Perpertual Coupled Simulated Annealing for Continuous Optimization
topic Optimization and Control
90C30, 90C56, 90C59
url https://arxiv.org/abs/1803.01059