---
_id: '48886'
abstract:
- lang: eng
  text: 'Generating new instances via evolutionary methods is commonly used to create
    new benchmarking data-sets, with a focus on attempting to cover an instance-space
    as completely as possible. Recent approaches have exploited Quality-Diversity
    methods to evolve sets of instances that are both diverse and discriminatory with
    respect to a portfolio of solvers, but these methods can be challenging when attempting
    to find diversity in a high-dimensional feature-space. We address this issue by
    training a model based on Principal Component Analysis on existing instances to
    create a low-dimension projection of the high-dimension feature-vectors, and then
    apply Novelty Search directly in the new low-dimension space. We conduct experiments
    to evolve diverse and discriminatory instances of Knapsack Problems, comparing
    the use of Novelty Search in the original feature-space to using Novelty Search
    in a low-dimensional projection, and repeat over a given set of dimensions. We
    find that the methods are complementary: if treated as an ensemble, they collectively
    provide increased coverage of the space. Specifically, searching for novelty in
    a low-dimension space contributes 56% of the filled regions of the space, while
    searching directly in the feature-space covers the remaining 44%.'
author:
- first_name: Alejandro
  full_name: Marrero, Alejandro
  last_name: Marrero
- first_name: Eduardo
  full_name: Segredo, Eduardo
  last_name: Segredo
- first_name: Emma
  full_name: Hart, Emma
  last_name: Hart
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
citation:
  ama: 'Marrero A, Segredo E, Hart E, Bossek J, Neumann A. Generating Diverse and
    Discriminatory Knapsack Instances by Searching for Novelty in Variable Dimensions
    of Feature-Space. In: <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>. GECCO’23. Association for Computing Machinery; 2023:312–320. doi:<a
    href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>'
  apa: Marrero, A., Segredo, E., Hart, E., Bossek, J., &#38; Neumann, A. (2023). Generating
    Diverse and Discriminatory Knapsack Instances by Searching for Novelty in Variable
    Dimensions of Feature-Space. <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>, 312–320. <a href="https://doi.org/10.1145/3583131.3590504">https://doi.org/10.1145/3583131.3590504</a>
  bibtex: '@inproceedings{Marrero_Segredo_Hart_Bossek_Neumann_2023, place={New York,
    NY, USA}, series={GECCO’23}, title={Generating Diverse and Discriminatory Knapsack
    Instances by Searching for Novelty in Variable Dimensions of Feature-Space}, DOI={<a
    href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>}, booktitle={Proceedings
    of the Genetic} and Evolutionary Computation Conference}, publisher={Association
    for Computing Machinery}, author={Marrero, Alejandro and Segredo, Eduardo and
    Hart, Emma and Bossek, Jakob and Neumann, Aneta}, year={2023}, pages={312–320},
    collection={GECCO’23} }'
  chicago: 'Marrero, Alejandro, Eduardo Segredo, Emma Hart, Jakob Bossek, and Aneta
    Neumann. “Generating Diverse and Discriminatory Knapsack Instances by Searching
    for Novelty in Variable Dimensions of Feature-Space.” In <i>Proceedings of the
    Genetic} and Evolutionary Computation Conference</i>, 312–320. GECCO’23. New York,
    NY, USA: Association for Computing Machinery, 2023. <a href="https://doi.org/10.1145/3583131.3590504">https://doi.org/10.1145/3583131.3590504</a>.'
  ieee: 'A. Marrero, E. Segredo, E. Hart, J. Bossek, and A. Neumann, “Generating Diverse
    and Discriminatory Knapsack Instances by Searching for Novelty in Variable Dimensions
    of Feature-Space,” in <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>, 2023, pp. 312–320, doi: <a href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>.'
  mla: Marrero, Alejandro, et al. “Generating Diverse and Discriminatory Knapsack
    Instances by Searching for Novelty in Variable Dimensions of Feature-Space.” <i>Proceedings
    of the Genetic} and Evolutionary Computation Conference</i>, Association for Computing
    Machinery, 2023, pp. 312–320, doi:<a href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>.
  short: 'A. Marrero, E. Segredo, E. Hart, J. Bossek, A. Neumann, in: Proceedings
    of the Genetic} and Evolutionary Computation Conference, Association for Computing
    Machinery, New York, NY, USA, 2023, pp. 312–320.'
date_created: 2023-11-14T15:58:59Z
date_updated: 2023-12-13T10:49:32Z
department:
- _id: '819'
doi: 10.1145/3583131.3590504
extern: '1'
keyword:
- evolutionary computation
- instance generation
- instance-space analysis
- knapsack problem
- novelty search
language:
- iso: eng
page: 312–320
place: New York, NY, USA
publication: Proceedings of the Genetic} and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - '9798400701191'
publisher: Association for Computing Machinery
series_title: GECCO’23
status: public
title: Generating Diverse and Discriminatory Knapsack Instances by Searching for Novelty
  in Variable Dimensions of Feature-Space
type: conference
user_id: '102979'
year: '2023'
...
---
_id: '48861'
abstract:
- lang: eng
  text: Generating instances of different properties is key to algorithm selection
    methods that differentiate between the performance of different solvers for a
    given combinatorial optimization problem. A wide range of methods using evolutionary
    computation techniques has been introduced in recent years. With this paper, we
    contribute to this area of research by providing a new approach based on quality
    diversity (QD) that is able to explore the whole feature space. QD algorithms
    allow to create solutions of high quality within a given feature space by splitting
    it up into boxes and improving solution quality within each box. We use our QD
    approach for the generation of TSP instances to visualize and analyze the variety
    of instances differentiating various TSP solvers and compare it to instances generated
    by established approaches from the literature.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
citation:
  ama: 'Bossek J, Neumann F. Exploring the Feature Space of TSP Instances Using Quality
    Diversity. In: <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>.
    GECCO ’22. Association for Computing Machinery; 2022:186–194. doi:<a href="https://doi.org/10.1145/3512290.3528851">10.1145/3512290.3528851</a>'
  apa: Bossek, J., &#38; Neumann, F. (2022). Exploring the Feature Space of TSP Instances
    Using Quality Diversity. <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 186–194. <a href="https://doi.org/10.1145/3512290.3528851">https://doi.org/10.1145/3512290.3528851</a>
  bibtex: '@inproceedings{Bossek_Neumann_2022, place={New York, NY, USA}, series={GECCO
    ’22}, title={Exploring the Feature Space of TSP Instances Using Quality Diversity},
    DOI={<a href="https://doi.org/10.1145/3512290.3528851">10.1145/3512290.3528851</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Neumann,
    Frank}, year={2022}, pages={186–194}, collection={GECCO ’22} }'
  chicago: 'Bossek, Jakob, and Frank Neumann. “Exploring the Feature Space of TSP
    Instances Using Quality Diversity.” In <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, 186–194. GECCO ’22. New York, NY, USA: Association
    for Computing Machinery, 2022. <a href="https://doi.org/10.1145/3512290.3528851">https://doi.org/10.1145/3512290.3528851</a>.'
  ieee: 'J. Bossek and F. Neumann, “Exploring the Feature Space of TSP Instances Using
    Quality Diversity,” in <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 2022, pp. 186–194, doi: <a href="https://doi.org/10.1145/3512290.3528851">10.1145/3512290.3528851</a>.'
  mla: Bossek, Jakob, and Frank Neumann. “Exploring the Feature Space of TSP Instances
    Using Quality Diversity.” <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, Association for Computing Machinery, 2022, pp. 186–194, doi:<a
    href="https://doi.org/10.1145/3512290.3528851">10.1145/3512290.3528851</a>.
  short: 'J. Bossek, F. Neumann, in: Proceedings of the Genetic and Evolutionary Computation
    Conference, Association for Computing Machinery, New York, NY, USA, 2022, pp.
    186–194.'
date_created: 2023-11-14T15:58:55Z
date_updated: 2023-12-13T10:45:56Z
department:
- _id: '819'
doi: 10.1145/3512290.3528851
extern: '1'
keyword:
- instance features
- instance generation
- quality diversity
- TSP
language:
- iso: eng
page: 186–194
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-9237-2
publication_status: published
publisher: Association for Computing Machinery
series_title: GECCO ’22
status: public
title: Exploring the Feature Space of TSP Instances Using Quality Diversity
type: conference
user_id: '102979'
year: '2022'
...
