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Uniqueness of real-valued hierarchical classes models

By Jan Schepers and Iven Van Mechelen


Two novel uniqueness theorems are derived for the family of hierarchical classes (HICLAS) models, a family of structural decomposition models forN-wayN-mode data that imply simultaneous hierarchically organized classifications of all modes involved in the data. The theorems generalize earlier results on binary HICLAS models to the integer- and real-valued cases. In addition, they allow for a shorter and insightful proof of a result on Boolean matrix invertibility that goes back to earlier work of Luce (1952) and Rutherford (1963).status: publishe

Topics: Hierarchical classes, Uniqueness, RV-HICLAS
Publisher: Academic Press
Year: 2010
DOI identifier: 10.1016/
OAI identifier:
Provided by: Lirias
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