04071nam 22007455 450 99641826700331620230125233546.03-030-38438-110.1007/978-3-030-38438-8(CKB)4100000010770917(DE-He213)978-3-030-38438-8(MiAaPQ)EBC6135409(Au-PeEL)EBL6135409(OCoLC)1148226628(oapen)https://directory.doabooks.org/handle/20.500.12854/37237(PPN)243227493(EXLCZ)99410000001077091720200310d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn Invitation to Statistics in Wasserstein Space[electronic resource] /by Victor M. Panaretos, Yoav Zemel1st ed. 2020.ChamSpringer Nature2020Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XIII, 147 p. 30 illus., 24 illus. in color.) SpringerBriefs in Probability and Mathematical Statistics,2365-43333-030-38437-3 Optimal transportation -- The Wasserstein space -- Fréchet means in the Wasserstein space -- Phase variation and Fréchet means -- Construction of Fréchet means and multicouplings.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.SpringerBriefs in Probability and Mathematical Statistics,2365-4333ProbabilitiesProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Probability Theory and Stochastic ProcessesOptimal TransportationMonge-Kantorovich ProblemBarycenterMultimarginal TransportFunctional Data AnalysisPoint ProcessesRandom MeasuresManifold StatisticsOpen AccessGeometrical statisticsWasserstein metricFréchet meanProcrustes analysisPhase variationGradient descentProbability & statisticsStochasticsProbabilities.Probability Theory and Stochastic Processes.519.2Panaretos Victor Mauthttp://id.loc.gov/vocabulary/relators/aut742113Zemel Yoavauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418267003316An Invitation to Statistics in Wasserstein Space2259012UNISA05061nam 2200841 a 450 991078838070332120211014011016.01-283-89834-90-8122-0634-710.9783/9780812206340(CKB)3170000000046440(OCoLC)822017912(CaPaEBR)ebrary10642725(SSID)ssj0000582018(PQKBManifestationID)11370820(PQKBTitleCode)TC0000582018(PQKBWorkID)10541749(PQKB)10639040(OCoLC)793012726(MdBmJHUP)muse17516(DE-B1597)449532(OCoLC)979904851(DE-B1597)9780812206340(Au-PeEL)EBL3441973(CaPaEBR)ebr10642725(CaONFJC)MIL421084(MiAaPQ)EBC3441973(EXLCZ)99317000000004644020110926d2012 uy 0engurcn|||||||||txtccrThe camera and the press[electronic resource] American visual and print culture in the age of the daguerreotype /Marcy J. Dinius1st ed.Philadelphia University of Pennsylvania Pressc20121 online resource (317 p.)Material TextsOriginally presented as the author's thesis (Northwestern University) under title: The camera and the pen: daguerreotypy and literature in antebellum America.0-8122-4404-4 Includes bibliographical references (p. [279]-294) and index.Front matter --Contents --Introduction --Chapter 1. The Daguerreotype in Antebellum American Popular Print --Chapter 2. Daguerreian Romanticism The House of the Seven Gables and Gabriel Harrison's Portraits --Chapter 3. ''Some ideal image of the man and his mind'' Melville's Pierre and Southworth & Hawes's Daguerreian Aesthetic --Chapter 4. Slavery in Black and White Daguerreotypy and Uncle Tom's Cabin --Chapter 5. ''My daguerreotype shall be a true one'' Augustus Washington and the Liberian Colonization Movement --Chapter 6. Seeing a Slave as a Man Frederick Douglass, Racial Progress, and Daguerreian Portraiture --Epilogue. ''An Old Daguerreotype'' --Notes --Bibliography --Index --AcknowledgmentsBefore most Americans ever saw an actual daguerreotype, they encountered this visual form through written descriptions, published and rapidly reprinted in newspapers throughout the land. In The Camera and the Press, Marcy J. Dinius examines how the first written and published responses to the daguerreotype set the terms for how we now understand the representational accuracy and objectivity associated with the photograph, as well as the democratization of portraiture that photography enabled. Dinius's archival research ranges from essays in popular nineteenth-century periodicals to daguerreotypes of Americans, Liberians, slaves, and even fictional characters. Examples of these portraits are among the dozens of illustrations featured in the book. The Camera and the Press presents new dimensions of Nathaniel Hawthorne's The House of the Seven Gables, Herman Melville's Pierre, Harriet Beecher Stowe's Uncle Tom's Cabin, and Frederick Douglass's The Heroic Slave. Dinius shows how these authors strategically incorporated aspects of daguerreian representation to advance their aesthetic, political, and social agendas. By recognizing print and visual culture as one, Dinius redefines such terms as art, objectivity, sympathy, representation, race, and nationalism and their interrelations in nineteenth-century America.Material texts.Photography in literatureUnited StatesHistory19th centuryLiterature and photographyUnited StatesHistory19th centuryAmerican fiction19th centuryIllustrationsPublic opinionDaguerreotypeUnited StatesHistory19th centuryDocumentary photographySocial aspectsUnited StatesHistory19th centuryVisual communicationUnited StatesHistory19th centuryPublic opinionUnited StatesHistory19th centuryAmerican History.American Studies.Cultural Studies.Literature.Photography.Photography in literatureHistoryLiterature and photographyHistoryAmerican fictionIllustrationsPublic opinion.DaguerreotypeHistoryDocumentary photographySocial aspectsHistoryVisual communicationHistoryPublic opinionHistory810.9/357Dinius Marcy J1567812MiAaPQMiAaPQMiAaPQBOOK9910788380703321The camera and the press3839523UNINA