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New search operators for node-depth based encoding

Published: 26 June 2020 Publication History

Abstract

Node-Depth Based Encoding is a representation for Evolutionary Algorithms applied to problems modelled by trees, storing nodes and their respective depths in an appropriately ordered list. This representation was highlighted by the results obtained, whose mutation and recombination operators have low time complexity in relation to other representations for the same problems. This work proposes new search operators. A high locality mutation operator, having as its main differential the possibility of including any edge present in a graph and a recombination operator with the ability to generate solutions with as much heritability as possible considering the edges set in the solutions, making it possible to recombine any solutions in the population with the aim of improving search convergence. All proposed operators also allow for dealing with problems modelled by forests with many trees and complete or non-complete graphs, always generating feasible solutions. This study performed bias, locality and heritability investigations for proposed operators showing that they have adequate characteristics for dealing with high dimensionality problems. In order to evaluate the performance of proposed operators, the results of preliminary tests were obtained applying to a benchmark problem in the literature. The use of proposed operators resulted in faster convergence.

References

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Telma Woerle de Lima, Alexandre Cláudio Botazzo Delbem, Anderson da Silva Soares, Fernando Marques Federson, João Bosco Augusto London Junior, and Jeffrey Van Baalen. 2016. Node-depth phylogenetic-based encoding, a spanningtree representation for evolutionary algorithms. part I: Proposal and properties analysis. Swarm and Evolutionary Computation 31 (2016), 1--10.
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Telma Woerle de Lima, Alexandre Cláudio Botazzo Delbem, Roney Lopes Lima, Gustavo Post Sabin, and Marcos Antônio Almeida de Oliveira. 2016. Permutation-based recombination operator to node-depth encoding. Procedia Computer Science 80 (2016), 279--288.
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Telma W de Lima, Franz Rothlauf, and Alexandre CB Delbem. 2008. The nodedepth encoding: analysis and application to the bounded-diameter minimum spanning tree problem. In Proceedings of the 10th annual conference on Genetic and evolutionary computation. ACM, 969--976.
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Cited By

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  • (2024)Node-depth based Genetic Algorithm to solve Inter-Domain path computation problemKnowledge-Based Systems10.1016/j.knosys.2023.111168284(111168)Online publication date: Jan-2024
  • (2024)Node depth Representation-based Evolutionary Multitasking Optimization for Maximizing the Network Lifetime of Wireless Sensor NetworksEngineering Applications of Artificial Intelligence10.1016/j.engappai.2023.107463128(107463)Online publication date: Feb-2024
  • (2023)MNDE: Node-depth encoding can do better in evolutionary multitask algorithmsProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3590717(251-254)Online publication date: 15-Jul-2023

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cover image ACM Conferences
GECCO '20: Proceedings of the 2020 Genetic and Evolutionary Computation Conference
June 2020
1349 pages
ISBN:9781450371285
DOI:10.1145/3377930
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 26 June 2020

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  1. evolutionary algorithms
  2. representations
  3. search operators

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Cited By

View all
  • (2024)Node-depth based Genetic Algorithm to solve Inter-Domain path computation problemKnowledge-Based Systems10.1016/j.knosys.2023.111168284(111168)Online publication date: Jan-2024
  • (2024)Node depth Representation-based Evolutionary Multitasking Optimization for Maximizing the Network Lifetime of Wireless Sensor NetworksEngineering Applications of Artificial Intelligence10.1016/j.engappai.2023.107463128(107463)Online publication date: Feb-2024
  • (2023)MNDE: Node-depth encoding can do better in evolutionary multitask algorithmsProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3590717(251-254)Online publication date: 15-Jul-2023

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