Data Analysis (Digital Signal and Image Processing) - download pdf or read online

By Gérard Govaert

ISBN-10: 1848210981

ISBN-13: 9781848210981

The 1st a part of this e-book is dedicated to tools looking suitable dimensions of knowledge. The variables hence got offer a man-made description which regularly leads to a graphical illustration of the information. After a normal presentation of the discriminating research, the second one half is dedicated to clustering equipment which represent one other strategy, frequently complementary to the tools defined within the first half, to synthesize and to research the knowledge. The booklet concludes by way of interpreting the hyperlinks present among facts mining and information research.

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Extra info for Data Analysis (Digital Signal and Image Processing)

Example text

The results of MCA can be obtained by applying CA software to the CDT or to the BT. This remarkable equivalence, as for the usual CA in the case of two variables, was established and described in [LEB 77, p. 126]. We return the reader to this work, or a more recent release of this work [LEB 06], for the proofs of these equivalences on which we base our presentation of MCA, mainly as a CA on CDT and, for some properties, as a CA on BT. 4. 1. MCA as CA of the CDT After transformation, the analyzed table has as a general term: nyij xij = − 1.

Denoting the category (of the variable q) possessed by the individual i as k, 2 1 nj nyij (n − nk )n d2 (i, 0) = −1 = . nQ n nQ nk j q j∈q q∈Q This contribution is low if nk (frequency of the category k of q possessed by i) is large. A category possessed by many individuals has little effect on the character of each. Conversely, a rare category strongly moves its owners far from the origin. To fix the ideas, from a category possessed by 50% of the individuals to another possessed by 5%, the contribution of the corresponding variable, for the individuals possessing this category, is multiplied by approximately 36.

MON 85] M ONTGOMERY D. , Introduction to Statistical Quality Control, Wiley, New York, 1985. [NIA 94] N IANG N. , Méthodes multidimensionnelles pour la maîtrise statistique des procédés, PhD thesis, Paris Dauphine University, France, 1994. [NIA 02] N IANG N. , Multivariate Total Quality Control, Heidelberg, Physica-Verlag, p. 136–162, 2002. , Probabilités, Analyse de Données et Statistique, Technip, Paris, 2006. , Advances in Kernel Methods – Support Vector Learning, MIT Press, p. 327–352, 1999.

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Data Analysis (Digital Signal and Image Processing) by Gérard Govaert


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