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Cost-vs-accuracy of sampling in multi-objective combinatorial exploratory landscape analysis

Authors
  • Cosson, Raphaël
  • Derbel, Bilel
  • Liefooghe, Arnaud
  • Vérel, Sébastien
  • Zhang, Qingfu
  • Tanaka, Kiyoshi
Publication Date
Jul 09, 2022
Identifiers
DOI: 10.1145/3512290.3528731
OAI: oai:HAL:hal-03693659v1
Source
HAL-Descartes
Keywords
Language
English
License
Unknown
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Abstract

The design of effective features enabling the development of automated landscape-aware techniques requires to address a number of inter-dependent issues. In this paper, we are interested in contrasting the amount of budget devoted to the computation of features with respect to: (i) the effectiveness of the features in grasping the characteristics of the landscape, and (ii) the gain in accuracy when solving an unknown problem instance by means of a feature-informed automated algorithm selection approach. We consider multi-objective combinatorial landscapes where, to the best of our knowledge, no in depth investigations have been conducted so far. We study simple cost-adjustable sampling strategies for extracting different state-of-the-art features. Based on extensive experiments, we report a comprehensive analysis on the impact of sampling on landscape feature values, and the subsequent automated algorithm selection task. In particular, we identify different global trends of feature values leading to non-trivial cost-vs-accuracy trade-off(s). Besides, we provide evidence that the sampling strategy can improve the prediction accuracy of automated algorithm selection. Interestingly, this holds independently of whether the sampling cost is taken into account or not in the overall solving budget.

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