LEADER 04071nam 22007455 450 001 996418267003316 005 20230125233546.0 010 $a3-030-38438-1 024 7 $a10.1007/978-3-030-38438-8 035 $a(CKB)4100000010770917 035 $a(DE-He213)978-3-030-38438-8 035 $a(MiAaPQ)EBC6135409 035 $a(Au-PeEL)EBL6135409 035 $a(OCoLC)1148226628 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/37237 035 $a(PPN)243227493 035 $a(EXLCZ)994100000010770917 100 $a20200310d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Invitation to Statistics in Wasserstein Space$b[electronic resource] /$fby Victor M. Panaretos, Yoav Zemel 205 $a1st ed. 2020. 210 $aCham$cSpringer Nature$d2020 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIII, 147 p. 30 illus., 24 illus. in color.) 225 1 $aSpringerBriefs in Probability and Mathematical Statistics,$x2365-4333 311 $a3-030-38437-3 327 $aOptimal transportation -- The Wasserstein space -- Fréchet means in the Wasserstein space -- Phase variation and Fréchet means -- Construction of Fréchet means and multicouplings. 330 $aThis open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph. 410 0$aSpringerBriefs in Probability and Mathematical Statistics,$x2365-4333 606 $aProbabilities 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 610 $aProbability Theory and Stochastic Processes 610 $aOptimal Transportation 610 $aMonge-Kantorovich Problem 610 $aBarycenter 610 $aMultimarginal Transport 610 $aFunctional Data Analysis 610 $aPoint Processes 610 $aRandom Measures 610 $aManifold Statistics 610 $aOpen Access 610 $aGeometrical statistics 610 $aWasserstein metric 610 $aFréchet mean 610 $aProcrustes analysis 610 $aPhase variation 610 $aGradient descent 610 $aProbability & statistics 610 $aStochastics 615 0$aProbabilities. 615 14$aProbability Theory and Stochastic Processes. 676 $a519.2 700 $aPanaretos$b Victor M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0742113 702 $aZemel$b Yoav$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418267003316 996 $aAn Invitation to Statistics in Wasserstein Space$92259012 997 $aUNISA LEADER 02146nam 2200637 450 001 9910827640103321 005 20230803202425.0 010 $a1-78371-210-4 010 $a1-78371-209-0 035 $a(CKB)3710000000111555 035 $a(EBL)3386769 035 $a(SSID)ssj0001326864 035 $a(PQKBManifestationID)11755670 035 $a(PQKBTitleCode)TC0001326864 035 $a(PQKBWorkID)11524035 035 $a(PQKB)10546546 035 $a(MiAaPQ)EBC3386769 035 $a(Au-PeEL)EBL3386769 035 $a(CaPaEBR)ebr10869969 035 $a(CaONFJC)MIL987465 035 $a(OCoLC)923335949 035 $a(EXLCZ)993710000000111555 100 $a20140524h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCrisis and control $ethe militarization of protest policing /$fLesley J. Wood 210 1$aLondon :$cPluto Press,$d2014. 210 4$d©2014 215 $a1 online resource (216 p.) 300 $aDescription based upon print version of record. 311 $a0-7453-3388-5 311 $a0-7453-3389-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Policing waves of protest, 1995-2013 -- To serve and protect who? policing trends and best practices -- Local legitimacy and struggles for control -- Officers under attack--the thin blue line, pepper spray, and police identity -- Experts, agencies, the private security sector, and integration -- Protest as threat -- Urine-filled supersoakers -- Crisis and control. 606 $aPolice 606 $aCrowd control 606 $aIntelligence service 606 $aDemonstrations 606 $aProtest movements 615 0$aPolice. 615 0$aCrowd control. 615 0$aIntelligence service. 615 0$aDemonstrations. 615 0$aProtest movements. 676 $a363.32/3 700 $aWood$b Lesley J.$0781744 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827640103321 996 $aCrisis and control$93961996 997 $aUNINA