Fast projection method for a special class of polytopes with applications
P. d'Alessandro, M. Dalla Mora (1988)
RAIRO - Operations Research - Recherche Opérationnelle
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P. d'Alessandro, M. Dalla Mora (1988)
RAIRO - Operations Research - Recherche Opérationnelle
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Petr Tichavský, Pavel Boček (1998)
Kybernetika
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A method of geometrical characterization of multidimensional data sets, including construction of the convex hull of the data and calculation of the volume of the convex hull, is described. This technique, together with the concept of minimum convex hull volume, can be used for detection of influential points or outliers in multiple linear regression. An approximation to the true concept is achieved by ordering the data into a linear sequence such that the volume of the convex hull of...
W. Grabowski (1974)
Applicationes Mathematicae
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Lawrence, Jim, Soltan, Valeriu (2009)
Beiträge zur Algebra und Geometrie
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Breen, Marilyn (2010)
Beiträge zur Algebra und Geometrie
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Bayer, Margaret M., Bisztriczky, Tibor (2008)
Beiträge zur Algebra und Geometrie
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Alon, N., Kleitman, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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A. K. Roy (1975)
Annales de l'institut Fourier
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This paper gives necessary and sufficient conditions for the closure of a face in a compact convex set to be again a face. As applications of these results, several theorems scattered in the literature are proved in an economical and uniform manner.
J. Matousek, O. Schwarzkopf (1993)
Discrete & computational geometry
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