About “Correlations” (1937).
de Finetti, Bruno (2008)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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de Finetti, Bruno (2008)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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W. Wysocki (1991)
Applicationes Mathematicae
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Joel A. Tropp (2008)
Studia Mathematica
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This note presents a new proof of an important result due to Bourgain and Tzafriri that provides a partial solution to the Kadison-Singer problem. The result shows that every unit-norm matrix whose entries are relatively small in comparison with its dimension can be paved by a partition of constant size. That is, the coordinates can be partitioned into a constant number of blocks so that the restriction of the matrix to each block of coordinates has norm less than one half. The original...
L. Pastur (1996)
Annales de l'I.H.P. Physique théorique
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Soshnikov, Alexander (2004)
Electronic Communications in Probability [electronic only]
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Vladimirov, Igor, Thompson, Bevan (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Ewa Skubalska-Rafajłowicz (2013)
International Journal of Applied Mathematics and Computer Science
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The method of change (or anomaly) detection in high-dimensional discrete-time processes using a multivariate Hotelling chart is presented. We use normal random projections as a method of dimensionality reduction. We indicate diagnostic properties of the Hotelling control chart applied to data projected onto a random subspace of Rn . We examine the random projection method using artificial noisy image sequences as examples.
Abbott, John, Mulders, Thom (2001)
Experimental Mathematics
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Hofmann-Credner, Katrin, Stolz, Michael (2008)
Electronic Communications in Probability [electronic only]
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Oraby, Tamer F. (2007)
Electronic Communications in Probability [electronic only]
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Egozcue, Martín, García, Luis Fuentes, Wong, Wing-Keung, Zitikis, Ričardas (2010)
Journal of Inequalities and Applications [electronic only]
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Iványi, Antal (2009)
Acta Universitatis Sapientiae. Mathematica
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