02425nam 2200469 450 991079526270332120200106153738.01-4704-5416-5(CKB)4940000000160189(MiAaPQ)EBC5990834(RPAM)21568215(PPN)242520138(EXLCZ)99494000000016018920200106h20192019 uy| 0engurcnu||||||||rdacontentrdamediardacarrierTime-like graphical models /Tvrtko TadićProvidence, RI :American Mathematical Society,[2019]©20191 online resource (184 pages) color illustrationsMemoirs of the American Mathematical Society,0065-9266 ;September 2019, volume 261, number 12621-4704-3685-X Includes bibliographical references and index."We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs with an embedded time structure - so called time-like graphs. We extend the notion of time-like graphs and find properties of processes indexed by them. In particular, we solve the conjecture of uniqueness of the distribution for the process indexed by graphs with infinite number of vertices. We provide a new result showing the stochastic heat equation as a limit of the sequence of natural Brownian motions on time-like graphs. In addition, our treatment of time-like graphical models reveals connections to Markov random fields, martingales indexed by directed sets and branching Markov processes"--Provided by publisher.Memoirs of the American Mathematical Society ;vol. 261, no. 1262.Graphical modeling (Statistics)Mathematical statisticsGraphic methodsGraphical modeling (Statistics)Mathematical statisticsGraphic methods.519.2/360G2060G6060H1560J6560J8062H0505C99mscTadić Tvrtko1502100MiAaPQMiAaPQMiAaPQBOOK9910795262703321Time-like graphical models3729637UNINA03615nam 22007335 450 99619993800331620240604172304.03-319-22500-610.1007/978-3-319-22500-5(CKB)3890000000001344(SSID)ssj0001558504(PQKBManifestationID)16183965(PQKBTitleCode)TC0001558504(PQKBWorkID)14819021(PQKB)11202450(DE-He213)978-3-319-22500-5(MiAaPQ)EBC6280883(MiAaPQ)EBC5586505(Au-PeEL)EBL5586505(OCoLC)918982854(PPN)188460446(EXLCZ)99389000000000134420150810d2015 u| 0engurnn#008mamaatxtccrElectronic Participation 7th IFIP 8.5 International Conference, ePart 2015, Thessaloniki, Greece, August 30 -- September 2, 2015, Proceedings /edited by Efthimios Tambouris, Panos Panagiotopoulos, Øystein Sæbø, Konstantinos Tarabanis, Maria A. Wimmer, Michela Milano, Theresa Pardo1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (X, 161 p. 33 illus.)Information Systems and Applications, incl. Internet/Web, and HCI ;9249Bibliographic Level Mode of Issuance: Monograph3-319-22499-9 This book constitutes the refereed proceedings of the 7th IFIP WG 8.5 International Conference on Electronic Participation, ePart 2015, held in Thessaloniki, Greece, in August/September 2015. The 12 revised full papers presented were carefully reviewed and selected from 19 submissions. The papers have been organized in the following topical sections: eParticipation and social media, deliberation and consultation, evaluation, and policy formulation and modelling.Information Systems and Applications, incl. Internet/Web, and HCI ;9249Computers and civilizationApplication softwareComputersComputers and Societyhttps://scigraph.springernature.com/ontologies/product-market-codes/I24040Computer Appl. in Administrative Data Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/I2301XInformation Systems and Communication Servicehttps://scigraph.springernature.com/ontologies/product-market-codes/I18008Computers and civilization.Application software.Computers.Computers and Society.Computer Appl. in Administrative Data Processing.Information Systems and Communication Service.323.042Tambouris Efthimiosedthttp://id.loc.gov/vocabulary/relators/edtPanagiotopoulos Panosedthttp://id.loc.gov/vocabulary/relators/edtSæbø Øysteinedthttp://id.loc.gov/vocabulary/relators/edtTarabanis Konstantinosedthttp://id.loc.gov/vocabulary/relators/edtWimmer Maria Aedthttp://id.loc.gov/vocabulary/relators/edtMilano Michelaedthttp://id.loc.gov/vocabulary/relators/edtPardo Theresaedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996199938003316Electronic Participation3552043UNISA