---
_id: '46384'
abstract:
- lang: eng
  text: Multimodal optimization requires maintenance of a good search space coverage
    and approximation of several optima at the same time. We analyze two constitutive
    optimization algorithms and show that in many cases, a phase transition occurs
    at some point, so that either diversity collapses or optimization stagnates. But
    how to derive suitable stopping criteria for multimodal optimization? Experimental
    results indicate that an algorithm’s population contains sufficient information
    to estimate the point in time when several performance indicators reach their
    optimum. Thus, stopping criteria are formulated based on summary characteristics
    employing objective values and mutation strength.
author:
- first_name: S
  full_name: Wessing, S
  last_name: Wessing
- first_name: M
  full_name: Preuss, M
  last_name: Preuss
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Wessing S, Preuss M, Trautmann H. Stopping Criteria for Multimodal Optimization.
    In: Bartz-Beielstein T, Branke J, Filipic B, Smith J, eds. <i>Proceedings of the
    Parallel Problem Solving from Nature — PPSN XIII</i>. Vol 8672. Lecture Notes
    in Computer Science. Springer; 2014:141–150. doi:<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>'
  apa: Wessing, S., Preuss, M., &#38; Trautmann, H. (2014). Stopping Criteria for
    Multimodal Optimization. In T. Bartz-Beielstein, J. Branke, B. Filipic, &#38;
    J. Smith (Eds.), <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i> (Vol. 8672, pp. 141–150). Springer. <a href="https://doi.org/10.1007/978-3-319-10762-2_14">https://doi.org/10.1007/978-3-319-10762-2_14</a>
  bibtex: '@inproceedings{Wessing_Preuss_Trautmann_2014, place={Ljubljana, Slovenia},
    series={Lecture Notes in Computer Science}, title={Stopping Criteria for Multimodal
    Optimization}, volume={8672}, DOI={<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>},
    booktitle={Proceedings of the Parallel Problem Solving from Nature — PPSN XIII},
    publisher={Springer}, author={Wessing, S and Preuss, M and Trautmann, Heike},
    editor={Bartz-Beielstein, T and Branke, J and Filipic, B and Smith, J}, year={2014},
    pages={141–150}, collection={Lecture Notes in Computer Science} }'
  chicago: 'Wessing, S, M Preuss, and Heike Trautmann. “Stopping Criteria for Multimodal
    Optimization.” In <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i>, edited by T Bartz-Beielstein, J Branke, B Filipic, and J Smith,
    8672:141–150. Lecture Notes in Computer Science. Ljubljana, Slovenia: Springer,
    2014. <a href="https://doi.org/10.1007/978-3-319-10762-2_14">https://doi.org/10.1007/978-3-319-10762-2_14</a>.'
  ieee: 'S. Wessing, M. Preuss, and H. Trautmann, “Stopping Criteria for Multimodal
    Optimization,” in <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i>, 2014, vol. 8672, pp. 141–150, doi: <a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>.'
  mla: Wessing, S., et al. “Stopping Criteria for Multimodal Optimization.” <i>Proceedings
    of the Parallel Problem Solving from Nature — PPSN XIII</i>, edited by T Bartz-Beielstein
    et al., vol. 8672, Springer, 2014, pp. 141–150, doi:<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>.
  short: 'S. Wessing, M. Preuss, H. Trautmann, in: T. Bartz-Beielstein, J. Branke,
    B. Filipic, J. Smith (Eds.), Proceedings of the Parallel Problem Solving from
    Nature — PPSN XIII, Springer, Ljubljana, Slovenia, 2014, pp. 141–150.'
date_created: 2023-08-04T15:36:01Z
date_updated: 2023-10-16T13:44:15Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-10762-2_14
editor:
- first_name: T
  full_name: Bartz-Beielstein, T
  last_name: Bartz-Beielstein
- first_name: J
  full_name: Branke, J
  last_name: Branke
- first_name: B
  full_name: Filipic, B
  last_name: Filipic
- first_name: J
  full_name: Smith, J
  last_name: Smith
intvolume: '      8672'
language:
- iso: eng
page: 141–150
place: Ljubljana, Slovenia
publication: Proceedings of the Parallel Problem Solving from Nature — PPSN XIII
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Stopping Criteria for Multimodal Optimization
type: conference
user_id: '15504'
volume: 8672
year: '2014'
...