Abstract
Classification of galaxies has been carried out by using two recently developed methods, viz., Independent Component Analysis (ICA) with K-means clustering and Clustering in Arbitrary Subspace based on Hough Transform (CASH) for different data sets. The first two sets are consisting of dwarf galaxies and their globular clusters whose distributions are non Gaussian in nature. The third one is a larger one containing a wider range of galaxies consisting of dwarfs to giants in 56 clusters of galaxies. Morphological classification of galaxies are subjective in nature and as a result can not properly explain the formation mechanism and other related issues under the influence of different correlated variables through a proper scientific approach. Hence objective classification by using the above mentioned methods are preferred to overcome the loopholes.`
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References
1. Achtert, E., Böhm, C., Jörn, D., Kröger, P., Zimek, A.: Global Correlation Clustering Based on Hough Transform. Stat. Anal. Data Min. 1, 111–127 (2008)
2. Sharina, M.E., Karachentsev, I.D., Dolphin, A.E., Karachentseva, V.E., Tully, R.B., Karataeva, G.M., Makarov, D.I., Makarova, L.N., Sakai, S., Shaya, E.J., Nikolaev, E.Y., Kuznetsov, A.N.: Photometric properties of the Local Volume dwarf galaxies. Mon. Not. R. Astron. Soc. 384, 1544–1562(2008)
3. Karachentsev, I.D., Karachentseva, V.E., Huchtmeier, W.K., Makarov, D.I.: A Catalog of Neighboring Galaxies. Astron. J. 127, 2031–2068 (2004)
4. Georgiev, I.Y., Puzia, T.H., Goudfrooij, P., Hilker, M.: Globular cluster systems in nearby dwarf galaxies: III. Formation efficiencies of old globular clusters. Mon. Not. R. Astron. Soc. 406, 1967–1984 (2010)
5. Sharina, M.E., Puzia, T.H., Makarov, D.I.: Hubble Space Telescope imaging of globular cluster candidates in low surface brightness dwarf galaxies. Astron. Astrophys. 442, 85–95 (2005)
6. Puzia, T.H., Sharina, M.E.: VLT spectroscopy of globular clusters in low surface brightness dwarf galaxies. Astrophys. J. 674, 909–926 (2008)
7. Comon, P.: Independent component analysis, A new concept? Signal Process. 36, 287–314 (1994)
8. Hyvärinen, A., Karhunen, J., Oja, E.: Independent Component Analysis. Wiley, New York (2001)
9. Sugar, A.S., James, G.M.: Finding the number of clusters in a data set: An information theoretic approach. J. Amer. Statist. Assoc. 98, 750–763 (2003)
10. Grebel, E.K., Gallagher, J.S., Harbeck, D.: The Progenitors of Dwarf Spheroidal Galaxies. Astron. J. 125, 1926–1939 (2003)
11. Chattopadhyay, T, Sharina, M., Karmakar, P.: Statistical analysis of dwarf galaxies and their globular clusters in the Local Volume. Astrophys. J. 724, 678–686 (2010)
12. Shaya, E.J., Tully, R.B.: The angular momentum content of galaxies. Astrophys. J. 281, 56–66 (1984)
13. Carraro, G., Chiosi, C. Girardi, L., Lia, C.: Dwarf elliptical galaxies: structure, star formation and colour-magnitude diagrams. Mon. Not. R. Astron. Soc. 327, 69–79 (2001)
14. Hirashita, H.: Intermittent Star-Formation Activities of Dwarf Irregular Galaxies. Publ. Aston. Soc. Jpn. 52, 107–112 (2000)
15. Karachentsev, I.D, Makarov, D.I.: Galaxy Interactions in the Local Volume. In: Barnes, J.E., Sanders, D.B. (eds.) Galaxy interactions at high and low redshifts. Proc. IAU Symposium, vol. 186, pp. 109–118 (1998)
16. Hudson, M.J., Lucey, J.R., Smith, R.J., Schlegel, D.J., Davies, R.L.: Streaming motions of galaxy clusters within 12 000 km s−1 - III. A standardized catalogue of Fundamental Plane data. Mon. Not. R. Astron. Soc. 327, 265–295 (2001)
17. Robertson B., Cox, T.J., Hernquist, L., Franx, M., Hopkins, P.F., Martini, P., Springel, V.: The Fundamental Scaling Relations of Elliptical Galaxies. Astrophys. J. 641, 21–40 (2006)
18. Shen, S., Mo, H.J., White, S.D.M., Blanton, M.R., Kauffmann, G., Voges, W., Brinkmann, J., Csabai, I.: The size distribution of galaxies in the Sloan Digital Sky Survey. Mon. Not. R. Astron. Soc. 343, 978–994 (2003)
19. MacQueen, J.B.: Some Methods for Classification and Analysis of Multivariate Observations. In: Cam, L.M. Le, Neyman, J. (eds.) Proceedings of Fifth Berkeley Symposium on Mathematical Statistics and Probability, pp. 281–297. University of California Press (1967)
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Chattopadhyay, A.K., Chattyopadhyay, T., De, T., Mondal, S. (2013). Independent Component Analysis for Dimension Reduction Classification: Hough Transform and CASH Algorithm. In: Hilbe, J. (eds) Astrostatistical Challenges for the New Astronomy. Springer Series in Astrostatistics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3508-2_9
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