Advances in Data Analysis: Proceedings of the 30th Annual by Gilles Celeux (auth.), Professor Dr. Reinhold Decker,

By Gilles Celeux (auth.), Professor Dr. Reinhold Decker, Professor Dr. Hans -J. Lenz (eds.)

This booklet specializes in exploratory information research, studying of latent buildings in datasets, and unscrambling of data. It covers a extensive variety of tools from multivariate records, clustering and category, visualization and scaling in addition to from information and time sequence research. It offers new methods for info retrieval and knowledge mining. moreover, the publication reviews difficult functions in advertising and administration technology, banking and finance, bio- and health and wellbeing sciences, linguistics and textual content research, statistical musicology and sound category, in addition to archaeology. exact emphasis is wear interdisciplinary examine and the interplay among thought and practice.

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Lo et al. (2001)). However, most of these results are difficult to implement and usually derived for finite mixtures of Gaussian distributions. As an alternative information statistics have received much attention recently in finite mixture modeling. These statistics are based on the value ˆ x) of the model adjusted for the number of free parameters in of −2 S (ϕ; the model (and other factors such as the sample size). The basic principle under these information criteria is the parsimony: all other things being the same (log-likelihood), we choose the simplest model (with fewer parameters).

The Ichino and Yaguchi distance measure has been used to calculate the distance matrix. The results of the experiment are presented in Tables 1-4. Calculations were made in the R environment using the symbolicDA library. Table 1. Comparison of cluster quality indexes for symbolic data – Ward hierarchical clustering. 25 36 Andrzej Dudek Table 2. Comparison of cluster quality indexes for symbolic data – k-medoids algorithm. 5 For Ward hierarchical clustering of symbolic objects Hubert and Levine (G3) and Baker and Hubert (G2) indexes most adequately represent the real structure of the data.

Optimization methods: • Partitioning around medoids, also called k-medoids method (Kaufman and Rousseeuw (1990)). Algorithms developed for symbolic data (Chavent et al. (2003), Verde (2004)): • • • • divisive clustering of symbolic objects (DIV), clustering of symbolic objects based on distance tables (DCLUST), dynamic clustering of symbolic objects (SCLUST), hierarchical and pyramidal clustering of symbolic objects (HiPYR). Cluster Quality Indexes for Symbolic Classification – An Examination 33 Popular methods like k-means and related ones like hard competitive learning, soft competitive learning, Isodata and others cannot be used for symbolic data.

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