Skip to main content

Performance Analysis of Dimensionality Reduction Techniques: A Comprehensive Review

  • Conference paper
  • First Online:
Advances in Mechanical Engineering

Abstract

Dimensionality reduction is comprised of techniques which are applied for lessening the dimensions of high-dimensional data. When there is increment in the data size and in its characteristics, then dimensionality reduction is applied to convert dataset into lesser dimensions with keeping the information short and precise. In other words, the process maintains the conciseness of the information without loss. The definition for dimension reduction can be stated as reducing n dimensional data for n dimensional space to i dimensional dimensions where i < n. To fulfill this objective, few techniques which are combination of mathematics and statistics are applied for dimensionality reduction are discussed in the paper. The paper focusses on the concept, techniques, and applications of dimensionality reduction. Additionally, the aim of the paper is to analyze and compare different techniques of dimensionality reduction with visualized results. Among different techniques of dimensionality reduction, results visualize LDA to be more informative and accurate.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Badaoui F, Amar A, Hassou LA, Zoglat A, Okou CG (2017)Dimensionality reduction and class prediction algorithm with application to microarray Big Data. J Big Data 32(4)

    Google Scholar 

  2. James AP, Dimitrijev S (2012)Ranked selection of nearest discriminating features. Hum-Centr Comput Inform Sci 2–12

    Google Scholar 

  3. Cunningham JP, Ghahramani Z (2015) Linear dimensionality reduction: survey, insights, and generalizations. J Mach Learn Res 16:2859–2900

    Google Scholar 

  4. Ye AQ, Ajilore OA, Conte G, Gad Elkarim J, Thomas-Ramos G, Zhan L, Shaolin Y, Kumar A, Magin RL, Forbes AG, Leow AD (2012)The intrinsic geometry of the human brain connectome. Brain Inform 197–210

    Google Scholar 

  5. Zhang Y, Zhou Z-H (2010)Multi-label dimensionality reduction via dependence maximization. ACM

    Google Scholar 

  6. Rehman MHU, Liew CS, Abbas A, Jayaraman PP, Wah TY, Khan SU (2016)Big data reduction methods: a survey. Data Sci Eng 265–284

    Google Scholar 

  7. Icke L, Rosenberg A (2010)Dimensionality reduction using symbolic regression. In: GECCO’10, ACM, Portland, Oregon, USA

    Google Scholar 

  8. James G, Witten D, Hastie T, Tibshirani R (2013) An introduction to statistical learning. Springer, New York

    Book  Google Scholar 

  9. Field A, Miles J, Fields Z (2012) Discovering statistics using R. SAGE, Thousand Oaks

    Google Scholar 

  10. Trevor H, Robert T, Jerome F (2009) Elements of statistical learning. Springer, New York

    Google Scholar 

  11. RamadeviI GN, Usharani K (2013) Study on dimensionality reduction techniques and applications. Publ Probl Appl Eng Res 4(1):134–140

    Google Scholar 

  12. Sunita, Rana V (2018) An optimizing preprocessing algorithm for enhanced web content. In: Proceedings of SoCTA 2018, pp 63–71

    Google Scholar 

  13. Bhatia MK (2018) User authentication in big data. Proc SoCTA 2018:385–393

    Google Scholar 

  14. Goel R, Sharma A, Kapoor R (2018) State-of-the-art object recognition techniques: a comparative study. SoCTA Proc 2018:925–932

    Google Scholar 

  15. Delac K, Grgic M, Grgic S (2006) Independent comparative study of PCA, ICA, and LDA on the FERET data set. Int J Imaging Syst Technol 15:252–260

    Google Scholar 

  16. Gu Q, Li Zh, Han J (2011) Linear discriminant dimensionality reduction. In: Machine learning and knowledge discovery in databases. ECML PKDD 2011. Lecture Notes in Computer Science, vol 6911, Springer, Berlin, Heidelberg

    Google Scholar 

  17. Hyvarinen A, Karhunen J, Oja E (2001) Independent component analysis. Wiley, Hoboken

    Google Scholar 

  18. Hyvärinen A, Oja E (2000) Independent component analysis: algorithms and applications. Neural Netw 13(4–5):411–430

    Article  Google Scholar 

  19. https://archive.ics.uci.edu/ml/datasets/iris

  20. Fisher RA (1936) The use of multiple measurement in taxonomic problems. Ann Eugenics 7:179–188

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mishra, D., Sharma, S. (2021). Performance Analysis of Dimensionality Reduction Techniques: A Comprehensive Review. In: Manik, G., Kalia, S., Sahoo, S.K., Sharma, T.K., Verma, O.P. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-0942-8_60

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-0942-8_60

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-0941-1

  • Online ISBN: 978-981-16-0942-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics