By J. Douglas Carroll, Anil Chaturvedi (auth.), Professor Alfredo Rizzi, Professor Maurizio Vichi, Professor Dr. Hans-Hermann Bock (eds.)
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Additional resources for Advances in Data Science and Classification: Proceedings of the 6th Conference of the International Federation of Classification Societies (IFCS-98) Università “La Sapienza”, Rome, 21–24 July, 1998
Gower (1975) gives a method for constraining maximal predictive classes to have hierarchical organisation which immediately extends to other classification criteria; unfortunately the computational problems are formidable. 28 4. Conclusion We hope we have shown that nonprobabilistic classification criteria are often relevant and lead to interesting and useful methods. Although we distinguish between assignment to and construction of classes, a perfectly good criterion for constructing classes is so that they can be assigned to optimally; nonprobabilistic maximal predictive classes and maximum likelihood mixture classes both have optimal assignment properties.
Cary, NC, USA. WISHART, D. (1978): CLUSTAN User Manual, 3rd edition, Program Library Unit, University of Edinburgh. Clustering and Outlier Identification: Fixed Point Cluster Analysis C. Hennig Institut fiir Mathematische Stochastik, Universitat Hamburg, D-20146 Hamburg, Germany Abstract: Fixed Point Cluster Analysis (FPCA) is introduced in this paper. FPCA is a new method for non-hierarchical cluster analysis. It is related to outlier identification. Its aim is to find groups of points generated by a common stochastic model without assuming a global model for the whole dataset.
Furthermore, multivariate outliers and other influential observations can be detected by simple graphical displays of a variety of measures of cluster cohesion computed at successive iterations of Step 4 of our procedure. ,)]}, ' (1) where, at step s, units i and i' both belong to cluster k. The rationale behind (1) is that, if the true structure of the data consists of K clusters plus a number of atypical observations, D(s) stays small as long as em remains outlier free. In addition, the plot of D(s) shows a dramatic change when the first outlier joins the clean subset.
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