TightKernelQueryComplexityofKernelRidgeRegressionandKernelk-meansClusteringManuelFerna´ndez1DavidP.Woodruff1TaisukeYasuda2Abstractbetweentwodatapointswiththeirinnerproductafterap-plyingakernelmap,...
SafeGridSearchwithOptimalComplexityEugeneNdiaye1TamLe1OlivierFercoq2JosephSalmon3IchiroTakeuchi4Abstractthefirstpart(trainingset)themethodistrainedforapre-definedcollectionofcandidatesΛT:={λ0,......
RefinedComplexityofPCAwithOutliersFedorFomin1PetrGolovach1FahadPanolan1KirillSimonov1Abstractlow-rankapproximationofdatamatrixMbysolvingPrincipalcomponentanalysis(PCA)isoneoftheminimizeM−L2mostfun...
RademacherComplexityforAdversariallyRobustGeneralizationDongYin1KannanRamchandran1PeterBartlett12Abstractdanauetal.,2014),gameplaying(Silveretal.,2016),etc.However,althoughthesemodelsachievethestat...
OntheComputationandCommunicationComplexityofParallelSGDwithDynamicBatchSizesforStochasticNon-ConvexOptimizationHaoYu1RongJin1Abstractvariables⇣⇠Drefertoinstance-labelpairsandF(x;⇣)referstothecor...
OntheComplexityofApproximatingWassersteinBarycentersAlexeyKroshnin123DarinaDvinskikh41PavelDvurechensky41AlexanderGasnikov512NazariiTupitsa15Ce´sarA.Uribe6Abstractlearningandoptimizationcommunitie...
IterativeLinearizedControl:StableAlgorithmsandComplexityGuaranteesVincentRoulet1SiddharthaSrinivasa2DmitriyDrusvyatskiy3ZaidHarchaoui1AbstractWehighlighttheequivalenceofdynamicprogrammingandgradien...
ComplexityofLinearRegionsinDeepNetworksBorisHanin1DavidRolnick2AbstractFigure1.Howmanylinearregions?Thisfigureshowsatwo-dimensionalslicethroughthe784-dimensionalinputspaceofItiswell-knownthattheexp...
CommunicationComplexityinLocallyPrivateDistributionEstimationandHeavyHittersJayadevAcharya1ZitengSun1AbstractWasserman&Zhou,2010;Wainwrightetal.,2012;Chaud-hurietal.,2011)).DifferentialPrivacy(DP)(...
ComputationalOptimalTransport:ComplexitybyAcceleratedGradientDescentIsBetterThanbySinkhorn’sAlgorithmPavelDvurechensky1AlexanderGasnikov234AlexeyKroshnin234Abstractclustering(Hoetal.,2017),textcla...
TheSampleComplexityofOnlineOne-ClassCollaborativeFilteringReinhardHeckel1KannanRamchandran1Abstractuserlikes,basedonratingsthatthisuserandalargenum-berofotherusershaveprovidedinthepast.Tothisend,We...
OracleComplexityofSecond-OrderMethodsforFinite-SumProblemsYossiArjevani1OhadShamir1AbstractTostudytheComplexityofthisandotheroptimizationproblems,itiscommontoconsideranoraclemodel,Finite-sumoptimiz...
OntheIterationComplexityofSupportRecoveryviaHardThresholdingPursuitJieShen1PingLi1Abstract2010;Blumensath&Davies,2009;Bouchotetal.,2016).RecoveringthesupportofasparsesignalfromComparedtoparameteres...
AlgorithmicStabilityandHypothesisComplexityTongliangLiu1Ga´borLugosi234GergelyNeu5DachengTao1AbstractHardtetal.(2015)showedthatparametricmodelstrainedbystochasticgradientdescentalgorithmsareunifor...