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Interval Archetypes: A New Tool for Interval Data Analysis

2012; Wiley; Volume: 5; Issue: 4 Linguagem: Inglês

10.1002/sam.11140

1932-1872

Maria Rosaria D’Esposito, Francesco Palumbo, Giancarlo Ragozini,

Neural Networks and Applications

Abstract Archetypal analysis aims at synthesizing single‐valued data sets through a few (not necessarily observed) points that are called archetypes, under the constraint that all points can be represented as a convex combination of the archetypes themselves and that the archetypes are a convex combination of the data. In this paper, we extend this methodology to the case of interval‐valued data, which represent a special case of set‐valued data, where the sets are compact and identified by ordered pairs of values. In addition, we propose to use interval archetypes as a tool in an analysis strategy to explore and mine complex data sets. © 2012 Wiley Periodicals, Inc. Statistical Analysis and Data Mining, 2012