|Reference : Robustness analysis of clustering and classification techniques|
|Dissertations and theses : Doctoral thesis|
|Physical, chemical, mathematical & earth Sciences : Mathematics|
|Robustness analysis of clustering and classification techniques|
|Ruwet, Christel [Université de Liège - ULg > Département de mathématique > Statistique mathématique >]|
|Université de Liège, Belgique|
|Docteur en Sciences|
|Garcia-Escudero, Luis Angel|
|[en] Clustering ; Classification ; Error rate ; Breakdown point ; Influence function ; Robustness|
|[en] As mentioned in the title, the framework of this doctoral dissertation encompasses two different subjects: robust statistics on the one hand and classification and clustering techniques on the other hand.
Robust procedures try at the same time to emulate classical procedures and to produce results that are not unduly affected by contaminated observations or deviations from model assumptions.
Classification and clustering techniques try to find groups among observations. Grouping is one of the most basic abilities of living creatures; the simple fact of naming objects is already grouping. The main interest lies in the fact that the characteristics of a group as well as its differences from other groups can be used as a summary of the dataset.
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