RiemannianConvexPotentialMapsSamuelCohen1BrandonAmos2YaronLipman23AbstractFigure1.Illustrationofadiscretec-concavefunction(blue)overabasemanifoldM(boldline).Theseconsistofdiscretecompo-Modelingdist...
InterpretableSteinGoodness-of-fitTestsonRiemannianManifoldsWenkaiXu1TakeruMatsuda2AbstractonRiemannianmanifolds(Chikuse,2012;Mardia&Jupp,1999;Ley&Verdebout,2017).Inmanyapplications,weencounterdatao...
EvaluatingtheImplicitMidpointIntegratorforRiemannianManifoldHamiltonianMonteCarloJamesA.Brofos1RoyR.Lederman1AbstractFigure1.Trajectoriescomputedbytheleapfrogintegratorandtheimplicitmidpointintegra...
DecentralizedRiemannianGradientDescentontheStiefelManifoldShixiangChen1AlfredoGarcia1MingyiHong2ShahinShahrampour1AbstractagentoptimizationproblemWeconsiderdistributednon-convexoptimization1nwherea...
BayesianQuadratureonRiemannianDataManifoldsChristianFro¨hlich1AlexandraGessner12PhilippHennig12BernhardScho¨lkopf2GeorgiosArvanitidis2AbstractFigure1.ALANDonaproteintrajectorymanifoldoftheenzymea...
ARiemannianBlockCoordinateDescentMethodforComputingtheProjectionRobustWassersteinDistanceMinhuiHuang1ShiqianMa2LifengLai1Abstractother.TocalculatetheWassersteindistance,oneisrequiredtosolveanoptima...
VariationalAutoencoderswithRiemannianBrownianMotionPriorsDimitrisKalatzis1DavidEklund2GeorgiosArvanitidis3SørenHauberg1AbstractFigure1.ThelatentspacepriorsoftwoVAEstrainedonthedigit1fromMNIST.Left...
Communication-EfficientDistributedPCAbyRiemannianOptimizationLong-KaiHuang1SinnoJialinPan1Abstractfollowingempiricalriskminimization(ERM)problemInthispaper,westudytheleadingeigenvec-w∗=argminFˆ(w...
RiemannianadaptivestochasticgradientalgorithmsonmatrixmanifoldsHiroyukiKasai1PratikJawanpuria2BamdevMishra2AbstractADAM(Kingma&Ba,2015),arguablythemostpopularadaptivegradientmethod,additionallyempl...
RiemannianStochasticRecursiveGradientAlgorithmHiroyukiKasai1HiroyukiSato2BamdevMishra3Abstractmanniangradientdescentmethod,whichcalculatestheR1ie∑mnannianfullgradientestimation,i.e.,gradf(w)=Stoch...
Low-RankRiemannianOptimizationonPositiveSemidefiniteStochasticMatriceswithApplicationstoGraphClusteringAhmedDouik1BabakHassibi1overthesetofsymmetricpositivesemidefinitestochas-Abstractticmatrices.S...