Research & Reviews : Journal of Space Science & Technology
Dimensionality Reduction: A Brief Survey on Its Myriad Techniques
Abstract
This paper is a short survey and analysis on different techniques and methods using which efficiency of existing techniques can be improved which are used for data exploration, or search for those features which has deeper relationship amongst the variable, which relies on greater extent on visual methods. However, for multidimensional data set with real time data collected captured using sensors or real time applications, redundant and unused or wanted data can be reduced using dimensionality reduction techniques efficiently as it helps in representing that data more promisingly and representing the reduced data conveniently. It reduces dimensional using features selection and feature extraction. This paper reviews two main techniques used as per its application with limitation for dimensionality reduction they are linear and nonlinear techniques. Linear techniques do linear projection of that data which lies near linear subspace, it results in data compression and increasing data dimensionality. The nonlinear techniques are used as high-dimension data often lies on or much lower dimensional, so, to represent such data low-dimensional data points is used using nonlinear techniques.Keywords: Dimensionality reduction, principle component analysis (PCA), linear discriminate analysis (LDA), kernel PCA, locally linear embedding (LLE), isomap, local tangent space alignment (LTSE)References (10)
- Kumar VA, Elavarasan N. A Survey on Dimensionality Reduction Technique . International Journal of Emerging Trends & Technology in Computer Science (IJETTCS). November-December 2014 ; 3(6).
- Laurens van der Maaten, Eric Postma, Jaap van den Herik . Dimensionality Reduction: A Comparative Review . TiCC TR. Oct 26, 2009; 2009–005p.
- Fu L. The Discriminate Analysis and Dimension Reduction Methods of High Dimension. Open Journal of Social Sciences. 2015; 3: 7–13p.
- Vijayarani S, Sylviaa SM. Comparative Analysis of Dimensionality Reduction Techniques. International Journal of Innovative Research in Computer and Communication Engineering . Jan 2016 ; 4(1):
- Ramadevi GN , Usharani K. Study on dimensionality reduction techniques and applications. CSEA 2012. 4(3).
- Cunningham JP, Ghahramani Z. Linear Dimensionality Reduction: Survey, Insights, and Generalizations . Journal of Machine Learning Research 2015; 16: 2859–2900p.
- Tenenbaum J, de Silva, V, Langford JA. Global Geometric Framework for Nonlinear Dimensionality Reduction. Science, 290(22 December 2000): 2319 – 2323.
- Thompson DWJ, Wallace JM. Annular Modes in the Extratropical Circulation. Part I: Monthto -Month Variability. Journal of Climate . 2000; 13(5):1000 – 1016p.
- Von Storch H, Zwiers FW. Statistical Analysis in Climate Research. Cambridge University Press, 1999.
- Wallace JM, Smith C, Bretherton CS. Singular Value Decomposition of Wintertime Sea SurfaceT emperature and 500-mb Height Anomalies. Journal of Climate. 1992; 5(6): 561–576p. Cite this Article Maitri Patel, Krupali H.Shah, Prakshat Shah et al. Dimensionality Reduction: A Brief Survey on Its Myriad Techniques. Research & Reviews: Journal of Space Science & Technology. 2017; 6(2): 46–51p.