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Interval Archetypes: A New Tool for Interval Data Analysis
Author(s) -
D'Esposito Maria R.,
Palumbo Francesco,
Ragozini Giancarlo
Publication year - 2012
Publication title -
statistical analysis and data mining: the asa data science journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.381
H-Index - 33
eISSN - 1932-1872
pISSN - 1932-1864
DOI - 10.1002/sam.11140
Subject(s) - archetype , interval (graph theory) , data mining , computer science , set (abstract data type) , constraint (computer aided design) , algorithm , theoretical computer science , mathematics , combinatorics , art , geometry , literature , programming language
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