Abstract
In this chapter, methods mathematically described in Chaps. 2 and 3 will be mutually compared experimentally with respect to the seriation problem.
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References
J.E. Atkins, E.G. Boman, B. Hendrickson, A spectral algorithm for seriation and the consecutive ones problem. SIAM J. Comput. 28, Nř 1, 297–310 (1998)
J.B. Kruskal, M. Wish, Multidimensional Scaling (Sage Publications, 1984)
J.-P. Benzécri, L’analyse des données, tome II (Dunod, 1973)
L. Lebart, J.-P. Fenelon, Statistique et Informatique Appliquées (Dunod, 1973)
I.C. Lerman, Classification et analyse ordinale des données (Dunod, 1981), http://www.brclasssoc.org.uk/books/index.html
I.C. Lerman, Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering (Springer Nature, 2016)
H. Hotelling, Analysis of a complex of statistical variables into principal components. J. Educ. Psychol. 24(6), 417–441 (1933)
R. Sibson, Multidimensional scaling in theory and practice, in séminaire du Laboratoire d’Informatique pour les Sciences de l’Homme 1, editor, Raisonnement et méthodes mathématiques en archéologie (CNRS, 1977), pp. 73–97
S. Niermann, Optimizing the ordering of tables with evolutionary computation. Am. Stat. Assoc. 59, 41–46 (2005)
P. Perin, La datation des tombes mérovingiennes. historiques, méthodes, applications. Paris, DROZ (1980)
H. Leredde, P. Perin, Les plaques boucles mérovingiennes. Dossiers de l’Archéologie 42, 83–87, Mars-Avril (1980)
H. Leredde, La méthode des poles d’attraction, La méthode des poles d’agrégation. Ph.D. thesis, Université de Paris 6, October 1979
J. Bertin, Traitements graphiques et mathématiques. différence fondamentale et complémentarité. Mathématiques Sci. Hum. 80, 60–71 (1980)
P. Ihm, A contribution to the history of seriation in archaeology, in Studies in Classification, Data Analysis and Knowledge Organization, Proceedings of the 28th Annual Conference of the Gesellschaft für Klassifikation, ed. by W. Gaul, C. Weihs, March 9–11, 2004, pp. 307–316. University of Dortmund (2005)
F.R. Hodson, The La Tene Cemetry at Münsingen-Rain: Catalogue and relative Chronology, vol. 50 (Berne: Verlag Stämpfil, 1968)
D.G. Kendall, Seriation from abundance matrices, in Mathematics in Archaeological and Historical Sciences ed. by D.G. Kendall, F.R. Hodson, P. Tautu (Aldine-Atherton, Chicago, 1971), pp. 214–252
J-P. Benzécri, Pratique de l’Analyse des Données (Dunod, 1980)
M. Hill, Correspondence analysis: a neglected multivariate method. Appl. Stat. 23, 340–354 (1974)
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Lerman, I.C., Leredde, H. (2022). Comparing Geometrical and Ordinal Seriation Methods in Formal and Real Cases. In: Seriation in Combinatorial and Statistical Data Analysis. Advanced Information and Knowledge Processing. Springer, Cham. https://doi.org/10.1007/978-3-030-92694-6_4
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DOI: https://doi.org/10.1007/978-3-030-92694-6_4
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