FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2885341540> ?p ?o ?g. }

• W2885341540 abstract "In this paper we study the class of optimal entropy-transport problems introduced by Liero, Mielke and Savare in Inventiones Mathematicae 211 in 2018. This class of unbalanced transport metrics allows for transport between measures of different total mass, unlike classical optimal transport where both measures must have the same total mass. In particular, we develop the theory for the important subclass of semi-discrete unbalanced transport problems, where one of the measures is diffuse (absolutely continuous with respect to the Lebesgue measure) and the other is discrete (a sum of Dirac masses). We characterize the optimal solutions and show they can be written in terms of generalized Laguerre diagrams. We use this to develop an efficient method for solving the semi-discrete unbalanced transport problem numerically. As an application we study the unbalanced quantization problem, where one looks for the best approximation of a diffuse measure by a discrete measure with respect to an unbalanced transport metric. We prove a type of crystallization result in two dimensions -- optimality of the triangular lattice -- and compute the asymptotic quantization error as the number of Dirac masses tends to infinity." @default.
• W2885341540 created "2018-08-22" @default.
• W2885341540 creator A5046567734 @default.
• W2885341540 creator A5050613004 @default.
• W2885341540 creator A5059838227 @default.
• W2885341540 date "2018-08-06" @default.
• W2885341540 modified "2023-09-27" @default.
• W2885341540 title "Semi-discrete unbalanced optimal transport and quantization" @default.
• W2885341540 cites W1480714962 @default.
• W2885341540 cites W1549932963 @default.
• W2885341540 cites W1559408176 @default.
• W2885341540 cites W1576475658 @default.
• W2885341540 cites W1589055062 @default.
• W2885341540 cites W1606263708 @default.
• W2885341540 cites W1634005169 @default.
• W2885341540 cites W1766201272 @default.
• W2885341540 cites W1975209811 @default.
• W2885341540 cites W1979610031 @default.
• W2885341540 cites W1980156396 @default.
• W2885341540 cites W1980999467 @default.
• W2885341540 cites W1994521023 @default.
• W2885341540 cites W1997062432 @default.
• W2885341540 cites W2005126631 @default.
• W2885341540 cites W2009803967 @default.
• W2885341540 cites W2010495532 @default.
• W2885341540 cites W2025258045 @default.
• W2885341540 cites W2034672743 @default.
• W2885341540 cites W2051752778 @default.
• W2885341540 cites W2054405120 @default.
• W2885341540 cites W2059347291 @default.
• W2885341540 cites W205960364 @default.
• W2885341540 cites W2069447707 @default.
• W2885341540 cites W2074092396 @default.
• W2885341540 cites W2089419199 @default.
• W2885341540 cites W2096413780 @default.
• W2885341540 cites W2106994558 @default.
• W2885341540 cites W2116437383 @default.
• W2885341540 cites W2123837580 @default.
• W2885341540 cites W2137672336 @default.
• W2885341540 cites W2142228262 @default.
• W2885341540 cites W2150593711 @default.
• W2885341540 cites W2153190480 @default.
• W2885341540 cites W2297392108 @default.
• W2885341540 cites W2342070830 @default.
• W2885341540 cites W2429669900 @default.
• W2885341540 cites W2528005577 @default.
• W2885341540 cites W2789285779 @default.
• W2885341540 cites W2953503920 @default.
• W2885341540 cites W2963793487 @default.
• W2885341540 cites W3103801447 @default.
• W2885341540 cites W3124571334 @default.
• W2885341540 cites W3159456488 @default.
• W2885341540 cites W385466589 @default.
• W2885341540 hasPublicationYear "2018" @default.
• W2885341540 type Work @default.
• W2885341540 sameAs 2885341540 @default.
• W2885341540 citedByCount "5" @default.
• W2885341540 countsByYear W28853415402018 @default.
• W2885341540 countsByYear W28853415402019 @default.
• W2885341540 countsByYear W28853415402021 @default.
• W2885341540 countsByYear W28853415402022 @default.
• W2885341540 crossrefType "posted-content" @default.
• W2885341540 hasAuthorship W2885341540A5046567734 @default.
• W2885341540 hasAuthorship W2885341540A5050613004 @default.
• W2885341540 hasAuthorship W2885341540A5059838227 @default.
• W2885341540 hasConcept C106301342 @default.
• W2885341540 hasConcept C11413529 @default.
• W2885341540 hasConcept C121332964 @default.
• W2885341540 hasConcept C134306372 @default.
• W2885341540 hasConcept C14158598 @default.
• W2885341540 hasConcept C204154756 @default.
• W2885341540 hasConcept C21031990 @default.
• W2885341540 hasConcept C2777105136 @default.
• W2885341540 hasConcept C2780009758 @default.
• W2885341540 hasConcept C28826006 @default.
• W2885341540 hasConcept C28855332 @default.
• W2885341540 hasConcept C33923547 @default.
• W2885341540 hasConcept C41008148 @default.
• W2885341540 hasConcept C62520636 @default.
• W2885341540 hasConcept C77088390 @default.
• W2885341540 hasConceptScore W2885341540C106301342 @default.
• W2885341540 hasConceptScore W2885341540C11413529 @default.
• W2885341540 hasConceptScore W2885341540C121332964 @default.
• W2885341540 hasConceptScore W2885341540C134306372 @default.
• W2885341540 hasConceptScore W2885341540C14158598 @default.
• W2885341540 hasConceptScore W2885341540C204154756 @default.
• W2885341540 hasConceptScore W2885341540C21031990 @default.
• W2885341540 hasConceptScore W2885341540C2777105136 @default.
• W2885341540 hasConceptScore W2885341540C2780009758 @default.
• W2885341540 hasConceptScore W2885341540C28826006 @default.
• W2885341540 hasConceptScore W2885341540C28855332 @default.
• W2885341540 hasConceptScore W2885341540C33923547 @default.
• W2885341540 hasConceptScore W2885341540C41008148 @default.
• W2885341540 hasConceptScore W2885341540C62520636 @default.
• W2885341540 hasConceptScore W2885341540C77088390 @default.
• W2885341540 hasLocation W28853415401 @default.
• W2885341540 hasOpenAccess W2885341540 @default.
• W2885341540 hasPrimaryLocation W28853415401 @default.
• W2885341540 hasRelatedWork W1040208284 @default.
• W2885341540 hasRelatedWork W1894171488 @default.

• next