Hybrid ranking and regression for algorithm selection

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Jonas Hanselle
  • Alexander Tornede
  • Marcel Wever
  • Eyke Hüllermeier

External Research Organisations

  • Paderborn University
  • Heinz Nixdorf Institute
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Details

Original languageEnglish
Title of host publicationKI 2020
Subtitle of host publicationAdvances in Artificial Intelligence - 43rd German Conference on AI, Proceedings
EditorsUte Schmid, Diedrich Wolter, Franziska Klügl
PublisherSpringer Science and Business Media Deutschland GmbH
Pages59-72
Number of pages14
ISBN (print)9783030582845
Publication statusPublished - 2020
Externally publishedYes
Event43rd German Conference on Artificial Intelligence, KI 2020 - Bamberg, Germany
Duration: 21 Sept 202025 Sept 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12325 LNAI
ISSN (Print)0302-9743
ISSN (electronic)1611-3349

Abstract

Algorithm selection (AS) is defined as the task of automatically selecting the most suitable algorithm from a set of candidate algorithms for a specific instance of an algorithmic problem class. While suitability may refer to different criteria, runtime is of specific practical relevance. Leveraging empirical runtime information as training data, the AS problem is commonly tackled by fitting a regression function, which can then be used to estimate the candidate algorithms’ runtimes for new problem instances. In this paper, we develop a new approach to algorithm selection that combines regression with ranking, also known as learning to rank, a problem that has recently been studied in the realm of preference learning. Since only the ranking of the algorithms is eventually needed for the purpose of selection, the precise numerical estimation of runtimes appears to be a dispensable and unnecessarily difficult problem. However, discarding the numerical runtime information completely seems to be a bad idea, as we hide potentially useful information about the algorithms’ performance margins from the learner. Extensive experimental studies confirm the potential of our hybrid approach, showing that it often performs better than pure regression and pure ranking methods.

Keywords

    Algorithm selection, Combined ranking and regression, Hybrid loss optimization

ASJC Scopus subject areas

Cite this

Hybrid ranking and regression for algorithm selection. / Hanselle, Jonas; Tornede, Alexander; Wever, Marcel et al.
KI 2020: Advances in Artificial Intelligence - 43rd German Conference on AI, Proceedings. ed. / Ute Schmid; Diedrich Wolter; Franziska Klügl. Springer Science and Business Media Deutschland GmbH, 2020. p. 59-72 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12325 LNAI).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Hanselle, J, Tornede, A, Wever, M & Hüllermeier, E 2020, Hybrid ranking and regression for algorithm selection. in U Schmid, D Wolter & F Klügl (eds), KI 2020: Advances in Artificial Intelligence - 43rd German Conference on AI, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12325 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 59-72, 43rd German Conference on Artificial Intelligence, KI 2020, Bamberg, Germany, 21 Sept 2020. https://doi.org/10.1007/978-3-030-58285-2_5
Hanselle, J., Tornede, A., Wever, M., & Hüllermeier, E. (2020). Hybrid ranking and regression for algorithm selection. In U. Schmid, D. Wolter, & F. Klügl (Eds.), KI 2020: Advances in Artificial Intelligence - 43rd German Conference on AI, Proceedings (pp. 59-72). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12325 LNAI). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-58285-2_5
Hanselle J, Tornede A, Wever M, Hüllermeier E. Hybrid ranking and regression for algorithm selection. In Schmid U, Wolter D, Klügl F, editors, KI 2020: Advances in Artificial Intelligence - 43rd German Conference on AI, Proceedings. Springer Science and Business Media Deutschland GmbH. 2020. p. 59-72. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-58285-2_5
Hanselle, Jonas ; Tornede, Alexander ; Wever, Marcel et al. / Hybrid ranking and regression for algorithm selection. KI 2020: Advances in Artificial Intelligence - 43rd German Conference on AI, Proceedings. editor / Ute Schmid ; Diedrich Wolter ; Franziska Klügl. Springer Science and Business Media Deutschland GmbH, 2020. pp. 59-72 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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AU - Hanselle, Jonas

AU - Tornede, Alexander

AU - Wever, Marcel

AU - Hüllermeier, Eyke

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

PY - 2020

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N2 - Algorithm selection (AS) is defined as the task of automatically selecting the most suitable algorithm from a set of candidate algorithms for a specific instance of an algorithmic problem class. While suitability may refer to different criteria, runtime is of specific practical relevance. Leveraging empirical runtime information as training data, the AS problem is commonly tackled by fitting a regression function, which can then be used to estimate the candidate algorithms’ runtimes for new problem instances. In this paper, we develop a new approach to algorithm selection that combines regression with ranking, also known as learning to rank, a problem that has recently been studied in the realm of preference learning. Since only the ranking of the algorithms is eventually needed for the purpose of selection, the precise numerical estimation of runtimes appears to be a dispensable and unnecessarily difficult problem. However, discarding the numerical runtime information completely seems to be a bad idea, as we hide potentially useful information about the algorithms’ performance margins from the learner. Extensive experimental studies confirm the potential of our hybrid approach, showing that it often performs better than pure regression and pure ranking methods.

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