A tensor-based selection hyper-heuristic for cross-domain heuristic search

Hyper-heuristics have emerged as automated high level search methodologies that manage a set of low level heuristics for solving computationally hard problems. A generic selection hyper-heuristic combines heuristic selection and move acceptance methods under an iterative single point-based search fr...

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Main Authors: Asta, Shahriar, Özcan, Ender
Format: Article
Published: Elsevier 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/32188/
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author Asta, Shahriar
Özcan, Ender
author_facet Asta, Shahriar
Özcan, Ender
author_sort Asta, Shahriar
building Nottingham Research Data Repository
collection Online Access
description Hyper-heuristics have emerged as automated high level search methodologies that manage a set of low level heuristics for solving computationally hard problems. A generic selection hyper-heuristic combines heuristic selection and move acceptance methods under an iterative single point-based search framework. At each step, the solution in hand is modified after applying a selected heuristic and a decision is made whether the new solution is accepted or not. In this study, we represent the trail of a hyper-heuristic as a third order tensor. Factorization of such a tensor reveals the latent relationships between the low level heuristics and the hyper-heuristic itself. The proposed learning approach partitions the set of low level heuristics into two subsets where heuristics in each subset are associated with a separate move acceptance method. Then a multi-stage hyper-heuristic is formed and while solving a given problem instance, heuristics are allowed to operate only in conjunction with the associated acceptance method at each stage. To the best of our knowledge, this is the first time tensor analysis of the space of heuristics is used as a data science approach to improve the performance of a hyper-heuristic in the prescribed manner. The empirical results across six different problem domains from a benchmark indeed indicate the success of the proposed approach.
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spelling nottingham-321882020-05-04T17:03:13Z https://eprints.nottingham.ac.uk/32188/ A tensor-based selection hyper-heuristic for cross-domain heuristic search Asta, Shahriar Özcan, Ender Hyper-heuristics have emerged as automated high level search methodologies that manage a set of low level heuristics for solving computationally hard problems. A generic selection hyper-heuristic combines heuristic selection and move acceptance methods under an iterative single point-based search framework. At each step, the solution in hand is modified after applying a selected heuristic and a decision is made whether the new solution is accepted or not. In this study, we represent the trail of a hyper-heuristic as a third order tensor. Factorization of such a tensor reveals the latent relationships between the low level heuristics and the hyper-heuristic itself. The proposed learning approach partitions the set of low level heuristics into two subsets where heuristics in each subset are associated with a separate move acceptance method. Then a multi-stage hyper-heuristic is formed and while solving a given problem instance, heuristics are allowed to operate only in conjunction with the associated acceptance method at each stage. To the best of our knowledge, this is the first time tensor analysis of the space of heuristics is used as a data science approach to improve the performance of a hyper-heuristic in the prescribed manner. The empirical results across six different problem domains from a benchmark indeed indicate the success of the proposed approach. Elsevier 2015-04-01 Article PeerReviewed Asta, Shahriar and Özcan, Ender (2015) A tensor-based selection hyper-heuristic for cross-domain heuristic search. Information Sciences, 299 . 412 - 432. ISSN 1872-6291 Hyper-Heuristic Data Science Machine Learning Move Acceptance Tensor Analysis Algorithm Selection http://www.sciencedirect.com/science/article/pii/S0020025514011591 doi:10.1016/j.ins.2014.12.020 doi:10.1016/j.ins.2014.12.020
spellingShingle Hyper-Heuristic
Data Science
Machine Learning
Move Acceptance
Tensor Analysis
Algorithm Selection
Asta, Shahriar
Özcan, Ender
A tensor-based selection hyper-heuristic for cross-domain heuristic search
title A tensor-based selection hyper-heuristic for cross-domain heuristic search
title_full A tensor-based selection hyper-heuristic for cross-domain heuristic search
title_fullStr A tensor-based selection hyper-heuristic for cross-domain heuristic search
title_full_unstemmed A tensor-based selection hyper-heuristic for cross-domain heuristic search
title_short A tensor-based selection hyper-heuristic for cross-domain heuristic search
title_sort tensor-based selection hyper-heuristic for cross-domain heuristic search
topic Hyper-Heuristic
Data Science
Machine Learning
Move Acceptance
Tensor Analysis
Algorithm Selection
url https://eprints.nottingham.ac.uk/32188/
https://eprints.nottingham.ac.uk/32188/
https://eprints.nottingham.ac.uk/32188/