SupervisedTree-WassersteinDistanceYukiTakezawa12RyomaSato12MakotoYamada12Abstractthecostoftheoptimaltransportbetweentwodocumentsinthewordembeddingspace.WMDhasbeenusedfordoc-Tomeasurethesimilarityof...
Smoothp-WassersteinDistance:Structure,EmpiricalApproximation,andStatisticalApplicationsSloanNietert1ZivGoldfeld2KengoKato3AbstractapplicationsinstatisticsandML,rangingfromgenerativemodeling(Arjovsk...
RepresentationSubspaceDistanceforDomainAdaptationRegressionXinyangChen1SinanWang1JianminWang1MingshengLong1Abstractsuchasobjectlocalization,imageregistration,humanposeestimation,tonameafew(Lathuili...
PhaseTransitions,DistanceFunctions,andImplicitNeuralRepresentationsYaronLipman12AbstractFigure1.ImplicitneuralrepresentationslearnedwiththenovelPHASEloss.Thisnewlossunifiesoccupancyandsigneddistanc...
Neural-Pull:LearningSignedDistanceFunctionsfromPointCloudsbyLearningtoPullSpaceontoSurfacesBaoruiMa1ZhizhongHan2Yu-ShenLiu1MatthiasZwicker3Abstract2020;Takikawaetal.,2021;Marteletal.,2021;Oechsleet...
Large-MarginContrastiveLearningwithDistancePolarizationRegularizerShuoChen1GangNiu1ChenGong2JunLi2JianYang2MasashiSugiyama13AbstractIntra/Inter-ClusterDistanceEnlargementPolarizationContrastivelear...
DiffusionEarthMover’sDistanceandDistributionEmbeddingsAlexanderTong1GuillaumeHuguet23AmineNatik23KincaidMacDonald4ManikKuchroo51RonaldR.Coifman4GuyWolf†23SmitaKrishnaswamy†51Abstract1.Introducti...
DifferentiallyPrivateSlicedWassersteinDistanceAlainRakotomamonjy12LivaRalaivola1AbstracttinousadvancesmadeinMachineLearning(ML).How-ever,asethicalandregulatoryconcernsbecomeprominentDevelopingmachi...
AnInformation-GeometricDistanceontheSpaceofTasksYansongGao1PratikChaudhari2AbstractFigure1.Coupledtransferofthedataandtheconditionaldis-tribution.WesolveanoptimizationproblemthattransportstheThispa...
DistanceMetricLearningwithJointRepresentationDiversificationXuChu12YangLin12YashaWang23XitingWang4HailongYu12XinGao12QiTong25AbstractFigure1.Thearchitecturesofembeddinglossmethodsandclassifi-cation...
LorentzianDistanceLearningforHyperbolicRepresentationsMarcT.Law123RenjieLiao12JakeSnell12RichardS.Zemel12AbstractAcommonandnaturalnon-Euclideanrepresentationspaceisthesphericalmodel(e.g.(Wangetal.,...
Linear-ComplexityData-ParallelEarthMover’sDistanceApproximationsKubilayAtasu1ThomasMittelholzer2AbstractInthetextretrievaldomain,anadaptationofEMD,calledWordMoversDistance(WMD),hasemergedasastate-...
LearningDistanceforSequencesbyLearningaGroundMetricBingSu1YingWu2AbstractAlthoughmetriclearninghasachievedaconsiderablematu-ritylevelbothinpracticeandintheory(Belletetal.,2013),LearningDistancestha...
Orthogonality-PromotingDistanceMetricLearning:ConvexRelaxationandTheoreticalAnalysisPengtaoXie12WeiWu2YichenZhu3EricP.Xing1Abstract1.IntroductionDistancemetriclearning(DML),whichlearnsGivendatapair...