Isbn: 9783030384371 - an invitation to statistics in wasserstein space (21 risultati)

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Paperback. Condizione: New. 2020 ed. This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.…

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Condizione: New. In English.

Condizione: New. pp. 147.

Paperback. Condizione: New.

Condizione: New.

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Condizione: As New. Unread book in perfect condition.

Paperback. Condizione: Brand New. 164 pages. 9.25x6.10x0.47 inches. In Stock.

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, italso provides anaccessible introduction to the fundamentals of this current topic, as well as an overview thatwill serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic inmathematical statistics, situated at the interface between functional dataanalysis (where the data are functions, thus lying in infinite dimensionalHilbert space) and non-Euclidean statistics (where the data satisfy nonlinearconstraints, thus lying on non-Euclidean manifolds). The Wassersteinspace provides the natural mathematical formalism to describe datacollections that are best modeled as random measures on Euclidean space (e.g. imagesand point processes). Such random measures carry the infinite dimensionaltraits of functional data, but are intrinsically nonlinear due to positivity andintegrability restrictions. Indeed, their dominating statistical variationarises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.…

Taschenbuch. Condizione: Neu. An Invitation to Statistics in Wasserstein Space | Victor M. Panaretos (u. a.) | Taschenbuch | SpringerBriefs in Probability and Mathematical Statistics | Einband - flex.(Paperback) | Englisch | 2020 | Springer | EAN 9783030384371 | Verantwortliche Person für die EU: Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu. …

Paperback. Condizione: New. 2020 ed. This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.…

Condizione: new. Questo è un articolo print on demand.

Condizione: New. Print on Demand pp. 147.

Condizione: New. PRINT ON DEMAND pp. 147.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, italso provides anaccessible introduction to the fundamentals of this current topic, as well as an overview thatwill serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic inmathematical statistics, situated at the interface between functional dataanalysis (where the data are functions, thus lying in infinite dimensionalHilbert space) and non-Euclidean statistics (where the data satisfy nonlinearconstraints, thus lying on non-Euclidean manifolds). The Wassersteinspace provides the natural mathematical formalism to describe datacollections that are best modeled as random measures on Euclidean space (e.g. imagesand point processes). Such random measures carry the infinite dimensionaltraits of functional data, but are intrinsically nonlinear due to positivity andintegrability restrictions. Indeed, their dominating statistical variationarises through random deformations of an underlying template, a theme that is pursued in depth in this monograph. 164 pp. Englisch. …

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a succinct introduction to necessary mathematical background, focusing&nbspon the results useful for statistics from an otherwise vast mathematical literaturePresents an up-to-date overview of the state of the art, including some .…

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research.Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 164 pp. Englisch.…