Skip to main content

Solution Space Visualization

  • Chapter
  • First Online:
Machine Learning for Evolution Strategies

Part of the book series: Studies in Big Data ((SBD,volume 20))

  • 4051 Accesses

Abstract

Visualization is the discipline of analyzing and designing algorithms for visual representations of information to reinforce human cognition. It covers many scientific fields like computational geometry or data analysis and finds numerous applications. Examples reach from biomedical visualization and cyber-security to geographic visualization, and multivariate time series visualization. For understanding of optimization processes in high-dimensional solution spaces, visualization offers useful tools for the practitioner.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tenenbaum, J.B., Silva, V.D., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science 290, 2319–2323 (2000)

    Article  Google Scholar 

  2. Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by locally linear embedding. Science 290, 2323–2326 (2000)

    Article  Google Scholar 

  3. Kruskal, J.: Nonmetric multidimensional scaling: a numerical method. Psychometrika 29, (1964)

    Google Scholar 

  4. Law, M.H.C., Jain, A.K.: Incremental nonlinear dimensionality reduction by manifold learning. IEEE Trans. Pattern Anal. Mach. Intell. 28(3), 377–391 (2006)

    Article  Google Scholar 

  5. Kramer, O., Lückehe, D.: Visualization of evolutionary runs with isometric mapping. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2015, pp. 1359–1363. Sendai, Japan, 25–28 May 2015

    Google Scholar 

  6. Hunter, J.D.: Matplotlib: a 2d graphics environment. Comput. Sci. Eng. 9(3), 90–95 (2007)

    Article  Google Scholar 

  7. Pohlheim, H.: Multidimensional scaling for evolutionary algorithms—visualization of the path through search space and solution space using sammon mapping. Artif. Life 12(2), 203–209 (2006)

    Google Scholar 

  8. Romero, G., Guervos, J.J.M., Valdivieso, P.A.C., Castellano, F.J.G., Arenas, M.G.: Genetic algorithm visualization using self-organizing maps. In: Proceedings of the Parallel Problem Solving from Nature, PPSN 2002, pp. 442–451 (2002)

    Google Scholar 

  9. Lotif, M.: Visualizing the population of meta-heuristics during the optimization process using self-organizing maps. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2014, pp. 313–319 (2014)

    Google Scholar 

  10. Volke, S., Zeckzer, D., Scheuermann, G., Middendorf, M.: A visual method for analysis and comparison of search landscapes. In: Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2015, pp. 497–504. Madrid, Spain, 11–15 July 2015

    Google Scholar 

  11. Collier, R., Wineberg, M.: Approaches to multidimensional scaling for adaptive landscape visualization. In: Pelikan, M., Branke, J. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2010, pp. 649–656. ACM (2010)

    Google Scholar 

  12. Masuda, H., Nojima, Y., Ishibuchi, H.: Visual examination of the behavior of emo algorithms for many-objective optimization with many decision variables. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2014, pp. 2633–2640 (2014)

    Google Scholar 

  13. Jornod, G., Mario, E.D., Navarro, I., Martinoli, A.: Swarmviz: An open-source visualization tool for particle swarm optimization. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2015, pp. 179–186. Sendai, Japan, 25–28 May 2015

    Google Scholar 

  14. Grond, F., Hermann, T., Kramer, O.: Interactive sonification monitoring in evolutionary optimization. In: 17th Annual Conference on Audio Display, Budapest (2011)

    Google Scholar 

  15. Zhang, Y., Dai, G., Peng, L., Wang, M.: Hmoeda_lle: A hybrid multi-objective estimation of distribution algorithm combining locally linear embedding. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2014, pp. 707–714 (2014)

    Google Scholar 

  16. Lee, J.A., Verleysen, M.: Quality assessment of dimensionality reduction: rank-based criteria. Neurocomputing 72(7–9), 1431–1443 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Oliver Kramer .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kramer, O. (2016). Solution Space Visualization. In: Machine Learning for Evolution Strategies. Studies in Big Data, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-33383-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-33383-0_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33381-6

  • Online ISBN: 978-3-319-33383-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics