- عنوان کتاب: Seriation in Combinatorial and Statistical Data Analysis
- نویسنده: Israël-César-Lerman,-Henri-Leredde
- حوزه: آمار, آمار و احتمالات
- سال انتشار: 2022
- تعداد صفحه: 252
- زبان اصلی: انگلیسی
- نوع فایل: pdf
- حجم فایل: 11.0 مگابایت
To begin, let us describe the circumstances and motivations that led to the publication of this book. This publication can be related to that of the book entiteled Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering published in the same Springer Nature series in 2016. Let us recall that the latter book was a new recasting and comprehensive english version of an important part of the french book: Classification et Analyse Ordinale des Données published with the support of the CNRS—by Dunod (Paris) in 1981. Clearly, in this version, the immense development of the domain has been taken into account. It was Dan A. Simovici, Professor at the University of Massachusetts (Department of Computer Science) who encouraged me to propose this publication. I am very grateful to him. In the development of the English book above, denoting by E the set to be statistically structured, we are led to provide E with a symmetrical numerical or ordinal similarity or dissimilarity over E. This symmetry is with respect to E × E. On the other hand and above all, the synthetic structure built on E is symmetrical. The latter structure is defined by either a classification tree (hierarchical clustering) or by a classification (non-hierarchical clustering) of E.
To begin, let us describe the circumstances and motivations that led to the publication of this book. This publication can be related to that of the book entiteled Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering published in the same Springer Nature series in 2016. Let us recall that the latter book was a new recasting and comprehensive english version of an important part of the french book: Classification et Analyse Ordinale des Données published with the support of the CNRS—by Dunod (Paris) in 1981. Clearly, in this version, the immense development of the domain has been taken into account. It was Dan A. Simovici, Professor at the University of Massachusetts (Department of Computer Science) who encouraged me to propose this publication. I am very grateful to him. In the development of the English book above, denoting by E the set to be statistically structured, we are led to provide E with a symmetrical numerical or ordinal similarity or dissimilarity over E. This symmetry is with respect to E × E. On the other hand and above all, the synthetic structure built on E is symmetrical. The latter structure is defined by either a classification tree (hierarchical clustering) or by a classification (non-hierarchical clustering) of E.
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