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Synopsis
What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.
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High Dimensional Probability
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Paperback. Etat : new. Paperback. What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783034897907
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High Dimensional Probability (Progress in Probability)
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High Dimensional Probability (Progress in Probability)
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High Dimensional Probability
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Birkhäuser, Birkhäuser Nov 2012, 2012
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -What is high dimensional probability Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings. 348 pp. Englisch. N° de réf. du vendeur 9783034897907
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High Dimensional Probability
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that. N° de réf. du vendeur 4319599
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High Dimensional Probability
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High Dimensional Probability
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Etat : New. Editor(s): Eberlein, Ernst; Hahn, Marjorie. Series: Progress in Probability. Num Pages: 343 pages, 2 black & white illustrations. BIC Classification: PBT. Category: (G) General (US: Trade). Dimension: 235 x 155 x 18. Weight in Grams: 534. . 1998. Softcover reprint of the original 1st ed. 1998. Paperback. . . . . N° de réf. du vendeur V9783034897907
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High Dimensional Probability
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Etat : New. pp. 348. N° de réf. du vendeur 2698253969
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High Dimensional Probability
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Birkhäuser Basel, Birkhäuser Basel Nov 2012, 2012
ISBN 10 : 3034897901
ISBN 13 : 9783034897907
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -What is high dimensional probability Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 348 pp. Englisch. N° de réf. du vendeur 9783034897907
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