Research graph
References from Computational Optimal Transport with Applications to Data Sciences. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2016 · External reference
“Tomographic reconstruction from a few views: amulti-marginal optimal transportapproach”
10.1007/s00245-015-9323-3 · 2017 · External reference
Unresolved reference
2011 · External reference
“One-dimensional numericalalgorithms for gradient flows in the p-Wassersteinspaces”
10.1007/s10440-012-9783-2 · 2013 · External reference
“Barycenters in the Wasserstein space”
10.1137/100805741 · 2011 · External reference
“Vers un théorème dela limite centrale dans l’espace deWasserstein?
10.1016/j.crma.2017.05.010 · 2017 · External reference
“A general class of coefficients ofdivergence of one distribution fromanother”
10.1111/j.2517-6161.1966.tb00626.x · 1966 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2017 · External reference
A fixed-point approach to barycenters in Wasserstein space
10.1016/j.jmaa.2016.04.045 · 2016 · External reference
Unresolved reference
2019 · External reference
Information geometry connecting Wasserstein distance and Kullback-Leibler divergence via the entropy-relaxed transportation problem
10.1007/s41884-018-0002-8 · 2018 · External reference
Unresolved reference
2006 · External reference
Geodesics in the space of measurepreserving maps and plans
10.1007/s00205-008-0189-2 · 2009 · External reference
Discrete Wasserstein barycenters: optimal transport for discrete data
10.1007/s00186-016-0549-x · 2016 · External reference
Unresolved reference
2008 · External reference
Snowflake universality of Wasserstein spaces
10.24033/asens.2363 · 2018 · External reference
Wasserstein generative adversarial networks
2017 · External reference
Power diagrams: properties, algorithms and applications
10.1137/0216006 · 1987 · External reference
Minkowski-type theorems and least-squares clustering
10.1007/pl00009187 · 1998 · External reference
Unresolved reference
2001 · External reference
Self-concordant analysis for logistic regression
2010 · External reference
Adaptivity of averaged stochastic gradient descent to local strong convexity for logistic regression
2014 · External reference
Estimating nonnegative matrices from marginal data
10.2307/2525582 · 1965 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2002 · External reference
On minimum Kantorovich distance estimators
10.1016/j.spl.2006.02.001 · 2006 · External reference
10.1007/978-1-4419-9467-7
10.1007/978-1-4419-9467-7 · 2011 · External reference
Dykstra’s algorithm with Bregman projections: a convergence proof
10.1080/02331930008844513 · 2000 · External reference
Mirror descent and nonlinear projected subgradient methods for convex optimization
10.1016/s0167-6377(02)00231-6 · 2003 · External reference
A continuous model of transportation
10.2307/1907646 · 1952 · External reference
Modelindependent bounds for option prices: a mass transport approach
10.1007/s00780-013-0205-8 · External reference
Nonparametric entropy estimation: an overview
1997 · External reference
Numerical resolution of an “unbalanced” mass transport problem
10.1051/m2an:2003058 · 2003 · External reference
10.1007/s002110050002 · 2000 · Admitted local publication
Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
10.1007/s10957-015-0725-9 · 2015 · External reference
Iterative Bregman projections for regularized transportation problems
10.1137/141000439 · 2015 · External reference
Discretization of functionals involving the Monge-Ampere operator
10.1007/s00211-015-0781-y · 2016 · External reference
Monotone and consistent discretization of the Monge-Ampere operator
10.1090/mcom/3080 · 2016 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
1984 · External reference
Unresolved reference
2003 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2017 · External reference
10.1007/bf01584237
10.1007/bf01584237 · 1981 · External reference
Auction algorithms for network flow problems: a tutorial introduction
10.1007/bf00247653 · 1992 · External reference
Unresolved reference
1998 · External reference
Dual coordinate step methods for linear network flow problems
10.1007/bf01589405 · 1988 · External reference
Unresolved reference
1997 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2017 · External reference
Geodesic PCA in the Wasserstein space by convex PCA
10.1214/15-aihp706 · 2017 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2012 · External reference
Tres observaciones sobre el algebra lineal
1946 · External reference
Unresolved reference
1957 · External reference
Convergence of the mass-transport steepest descent scheme for the subcritical Patlak- Keller-Segel model
10.1137/070683337 · 2008 · External reference
Optimal transport and Cournot- Nash equilibria
10.1287/moor.2015.0719 · 2015 · External reference
Unresolved reference
2011 · External reference
Distribution’s template estimate with Wasserstein metrics
2015 · External reference
Quantitative concentration inequalities for empirical measures on non-compact spaces
10.1007/s00440-006-0004-7 · 2007 · External reference
Wasserstein barycentric coordinates: histogram regression using optimal transport
10.1145/2897824.2925918 · 2016 · External reference
Sliced and Radon Wasserstein barycenters of measures
10.1007/s10851-014-0506-3 · 2015 · External reference
Displacement interpolation using Lagrangian mass transport
10.1145/2070781.2024192 · 2011 · External reference
De investigando ordine systematis aequationum differentialium vulgarium cujuscunque
1865 · External reference
Unresolved reference
2005 · External reference
Unresolved reference
2010 · External reference
Unresolved reference
2017 · External reference
10.1561/2200000016 · 2011 · Admitted local publication
“The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming”
10.1016/0041-5553(67)90040-7 · 1967 · External reference
Unresolved reference
1987 · External reference
“The least action principle and the related concept of generalized flows for incompressible perfect fluids”
1990 · External reference
“Polar factorization and monotone rearrangement of vector-valued functions”
10.1002/cpa.3160440402 · 1991 · External reference
“The dual least action problem for an ideal, incompressible fluid”
10.1007/bf00375139 · 1993 · External reference
“Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations”
10.1002/(sici)1097-0312(199904)52:4<411::aid-cpa1>3.0.co;2-3 · 1999 · External reference
“Generalized solutions and hydrostatic approximation of the Euler equations”
10.1016/j.physd.2008.02.026 · 2008 · External reference
“Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching”
10.1073/pnas.0508601103 · 2006 · External reference
“A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching”
10.1007/s11263-009-0301-6 · 2010 · External reference
10.1017/cbo9780511721182
10.1017/cbo9780511721182 · 2006 · External reference
10.1090/gsm/033
10.1090/gsm/033 · 2001 · External reference
“An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite w*-algebras”
1969 · External reference
“A mixed finite element method for nonlinear diffusion equations”
10.3934/krm.2010.3.59 · 2010 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2003 · External reference
“Problem of reflector design with given far-field scattering data”
1999 · External reference
#x201C;Free boundaries in optimal transport and Monge-Ampère obstacle problems”
10.4007/annals.2010.171.673 · 2010 · External reference
“Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs”
10.1090/s0894-0347-01-00376-9 · 2002 · External reference
Unresolved reference
2012 · External reference
“An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker- Planck equation is gradient flow for the entropy”
10.1007/s00220-014-2124-8 · 2014 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2017 · External reference
“Matching for teams”
10.1007/s00199-008-0415-z · 2010 · External reference
“From Knothe’s transport to Brenier’s map and a continuation method for optimal transport”
10.1137/080740647 · 2010 · External reference
“Optimal transportation with traffic congestion and Wardrop equilibria”
10.1137/060672832 · 2008 · External reference
“Numerical methods for matching for teams and Wasserstein barycenters”
10.1051/m2an/2015033 · 2015 · External reference
Unresolved reference
2019 · External reference
“A finite-volume method for nonlinear nonlocal equations with a gradient flow structure”
10.4208/cicp.160214.010814a · 2015 · External reference
“Numerical simulation of diffusive and aggregation phenomena in nonlinear continuity equations by evolving diffeomorphisms”
10.1137/080739574 · 2009 · External reference
“The Dykstra algorithm with Bregman projections”
1998 · External reference
“Proximal minimization algorithm with-functions”
10.1007/bf00940051 · 1992 · External reference
“The ^-Wasserstein distance: local solutions and existence of optimal transport maps”
10.1137/07069938x · 2008 · External reference
“Optimal output-sensitive convex hull algorithms in two and three dimensions”
10.1007/bf02712873 · 1996 · External reference
Unresolved reference
2017 · External reference
“On the relation between optimal transport and Schrodinger bridges: A stochastic control viewpoint”
10.1007/s10957-015-0803-z · 2016 · External reference
Unresolved reference
2016 · External reference
“An interpolating distance between optimal transport and Fisher-Rao metrics”
10.1007/s10208-016-9331-y · 2018 · External reference
“Scaling algorithms for unbalanced transport problems”
10.1090/mcom/3303 · 2018 · External reference
“Unbalanced optimal transport: geometry and Kantorovich formulation”
10.1016/j.jfa.2018.03.008 · 2018 · External reference
“Fokker-Planck equations for a free energy functional or Markov process on a graph”
10.1007/s00205-011-0471-6 · 2012 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2016 · External reference
“A new algorithm for non-rigid point matching”
10.1109/cvpr.2000.854733 · 2000 · External reference
“Information-type measures of difference of probability distributions and indirect observations”
1967 · External reference
10.1109/focs.2017.88
10.1109/focs.2017.88 · 2017 · External reference
“The earth mover’s distance under transformation sets”
10.1109/iccv.1999.790393 · 1999 · External reference
“A Douglas-Rachford splitting approach to nonsmooth convex variational signal recovery”
10.1109/jstsp.2007.910264 · 2007 · External reference
“Asymptotic analysis of the exponential penalty trajectory in linear programming”
10.1007/bf01582220 · 1994 · External reference
Unresolved reference
2015 · External reference
“Fisher information distance: a geometrical reading”
10.1016/j.dam.2014.10.004 · 2015 · External reference
“Density functional theory and optimal transportation with Coulomb cost”
10.1002/cpa.21437 · 2013 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2016 · External reference
“Optimal transport for domain adaptation”
10.1109/tpami.2016.2615921 · 2017 · External reference
“Geodesics in heat: a new approach to computing distance based on heat flow”
10.1145/2516971.2516977 · 2013 · External reference
“Notes on the Wasserstein Metric in Hilbert Spaces”
10.1214/aop/1176991269 · 1989 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2013 · External reference
#x201C;Ground metric learning”
2014 · External reference
“Fast computation of Wasserstein barycenters”
2014 · External reference
10.7551/mitpress/7503.003.0046
10.7551/mitpress/7503.003.0046 · 2007 · External reference
“A smoothed dual approach for variational Wasserstein problems”
10.1137/15m1032600 · 2016 · External reference
Unresolved reference
2018 · External reference
“Further and stronger analogy between sampling and optimization: Langevin Monte Carlo and gradient descent”
2017 · External reference
Unresolved reference
2017 · External reference
“Programming of interdependent activities: II mathematical model”
10.2307/1905523 · 1949 · External reference
“Application of the simplex method to a transportation problem”
1951 · External reference
10.1007/978-3-642-68874-4_4
10.1007/978-3-642-68874-4_4 · 1983 · External reference
Unresolved reference
1991 · External reference
Unresolved reference
2017 · External reference
“Blue noise through optimal transport”
10.1145/2366145.2366190 · 2012 · External reference
“Midway image equalization”
10.1023/b:jmiv.0000035178.72139.2d · 2004 · External reference
“Fast transport optimization for Monge costs on the circle”
10.1137/090772708 · 2010 · External reference
“Local matching indicators for transport problems with concave costs”
10.1137/110823304 · 2012 · External reference
“On a least squares adjustment of a sampled frequency table when the expected marginal totals are known”
10.1214/aoms/1177731829 · 1940 · External reference
“Constructive quantization: Approximation by empirical measures”
10.1214/12-aihp489 · 2013 · External reference
Unresolved reference
1993 · External reference
Unresolved reference
2017 · External reference
Regularized Optimal Transport and the Rot Mover
2018 · External reference
Unresolved reference
2017 · External reference
Sublinear time algorithms for earth mover
2011 · External reference
A new class of transport distances between measures
10.1007/s00526-008-0182-5 · 2009 · External reference
“Martingale optimal transport and robust hedging in continuous time”.
10.1007/s00440-013-0531-y · 2014 · External reference
“The speed of mean Glivenko-Cantelli convergence”
10.1214/aoms/1177697802 · 1969 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2018 · External reference
“An algorithm for restricted least squares regression”.
10.1080/01621459.1983.10477029 · 1983 · External reference
“An iterative procedure for obtaining
1985 · External reference
“On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators”.
10.1007/bf01581204 · 1992 · External reference
10.1016/b978-0-12-663450-1.50017-7
10.1016/b978-0-12-663450-1.50017-7 · 1975 · External reference
“Bayesian inference with optimal maps”.
10.1016/j.jcp.2012.07.022 · 2012 · External reference
“A new metric for probability distributions”.
10.1109/tit.2003.813506 · 2003 · External reference
“The heat equation on manifolds as a gradient flow in the Wasserstein space”.
10.1214/08-aihp306 · 2010 · External reference
“Gradient flow structures for discrete porous medium equations”.
10.3934/dcds.2014.34.1355 · 2014 · External reference
10.1007/978-3-642-45515-5
10.1007/978-3-642-45515-5 · 1980 · External reference
Unresolved reference
1990 · External reference
“Data-driven distributionally robust optimizatio e Wasserstein metric:Performance guarantees and tractable reformulations”.
10.1007/s10107-017-1172-1 · 2018 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
1999 · External reference
“Monge’s transport problem on a Riemannian manifold”.
10.1090/s0002-9947-01-02930-0 · 2002 · External reference
#x201C;Optimal transport for diffeomorphic registration”.
2017 · External reference
Unresolved reference
2019 · External reference
“The optimal partial transport problem”.
10.1007/s00205-008-0212-7 · 2010 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
1962 · External reference
“Relating the Bures measure to the Cauchy two-matrix model”.
10.1007/s00220-015-2435-4 · 2016 · External reference
“On the rate of convergence in Wasserstein distance of the empirical measure”
10.1007/s00440-014-0583-7 · 2015 · External reference
“On the scaling of multidimensional matrices”
1989 · External reference
“A reconstruction of the initial conditions of the universe by optimal mass transportation”.
10.1038/417260a · 2002 · External reference
“Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampere equation in dimensions two and higher”
10.1137/100803092 · 2011 · External reference
Unresolved reference
2015 · External reference
“A dual algorithm for the solution of nonlinear variational problems via finite element approximation”.
10.1016/0898-1221(76)90003-1 · 1976 · External reference
10.23943/princeton/9780691172767.001.0001
10.23943/princeton/9780691172767.001.0001 · 2016 · External reference
“A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options”.
10.1214/13-aap925 · 2014 · External reference
Unresolved reference
2009 · External reference
“A Lagrangian scheme a la Brenier for the incompressible Euler equations”
2017 · External reference
“A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows”.
10.1137/16m106666x · 2017 · External reference
“The geometry of optimal transportation”
10.1007/bf02392620 · 1996 · External reference
“Optimal maps for the multidimensional Monge-Kantorovich problem”.
10.1002/(sici)1097-0312(199801)51:1<23::aid-cpa2>3.0.co;2-h · 1998 · External reference
“Robust Hypothesis Testing Using Wasserstein Uncertainty Sets”. In:
2018 · External reference
Unresolved reference
1990 · External reference
“Sample complexity of Sinkhorn divergences”. In:
2019 · External reference
“Stochastic optimization for large-scale optimal transport”.
2016 · External reference
Unresolved reference
2017 · External reference
“Learning generative models with Sinkhorn divergences”. In:
2018 · External reference
Unresolved reference
2015 · External reference
“The evolution of the minimum degree ordering algorithm”.
10.1137/1031001 · 1989 · External reference
10.1063/1.4915289
10.1063/1.4915289 · 2015 · External reference
10.5201/ipol.2013.87
10.5201/ipol.2013.87 · 2013 · External reference
“The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation”.
10.1007/s00205-008-0186-5 · 2009 · External reference
“On choosing and bounding probability metrics”.
10.1111/j.1751-5823.2002.tb00178.x · 2002 · External reference
Unresolved reference
2004 · External reference
Unresolved reference
2011 · External reference
“Sur l’approximation, par éléments finis d’ordre un, et la résolution, par pénalisation-dualité d’une classe de problèmes de Dirichlet non linéaires”.
1975 · External reference
“Power particles: an incompressible fluid solver based on power diagrams”.
2015 · External reference
“A graduated assignment algorithm for graph matching”.
10.1109/34.491619 · 1996 · External reference
“New algorithms for 2D and 3D point matching: pose estimation and correspondence”.
10.1016/s0031-3203(98)80010-1 · 1998 · External reference
“A survey on continuous elliptical vector distributions”.
10.5209/rev_rema.2003.v16.n1.16889 · 2003 · External reference
“Density-functional theory for strongly interacting electrons”.
10.1103/physrevlett.103.166402 · 2009 · External reference
“Fast Optimal Transport Averaging of Neuroimaging Data”. In:
2015 · External reference
“The pyramid match kernel: discriminative classification with sets of image features”. In:
2005 · External reference
“Unsupervised Alignment of Embeddings with Wasserstein Procrustes”. In:
2019 · External reference
“A kernel two-sample test”
2012 · External reference
“A kernel method for the two-sample-problem”. In:
2007 · External reference
“Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation”.
10.1080/10556789208805505 · 1992 · External reference
10.1137/1.9780898717761
10.1137/1.9780898717761 · 2008 · External reference
Unresolved reference
2001 · External reference
“Computational methods for martingale optimal transport problems”.
2017 · External reference
“Classical complexity and quantum entanglement”.
10.1016/j.jcss.2004.06.003 · 2004 · External reference
10.1007/978-3-319-43374-5
10.1007/978-3-319-43374-5 · 2016 · External reference
“Optimal patch assignment for statistically constrained texture synthesis”
2017 · External reference
“Successive overrelaxation (SOR) and related methods”.
10.1016/s0377-0427(00)00403-9 · 2000 · External reference
“Optimal mass transport for registration and warping”.
10.1023/b:visi.0000036836.66311.97 · 2004 · External reference
“Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces”.
10.1090/s0002-9939-1992-1097344-5 · 1992 · External reference
“Learning populationlevel diffusions with generative RNNs”.
2016 · External reference
“Über die gerade Linie als kürzeste Verbindung zweier Punkte”.
10.1007/bf02096204 · 1895 · External reference
“The distribution of a product from several sources to numerous localities”.
1941 · External reference
Unresolved reference
2017 · External reference
“Kernel methods in machine learning”.
10.1214/009053607000000677 · 2008 · External reference
10.1002/9781118548387
10.1002/9781118548387 · 2013 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2016 · External reference
10.1145/1993636.1993720
10.1145/1993636.1993720 · 2011 · External reference
Unresolved reference
2003 · External reference
“Distances and Riemannian metrics for multivariate spectral densities”.
10.1109/tac.2012.2183171 · 2012 · External reference
Unresolved reference
1984 · External reference
“The variational formulation of the Fokker-Planck equation”.
10.1137/s0036141096303359 · 1998 · External reference
“On the transfer of masses (in Russian)”.
1942 · External reference
“On a space of totally additive functions”.
1958 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2013 · External reference
“Approximation of parabolic equations using the Wasserstein metric”
10.1051/m2an:1999166 · 1999 · External reference
Unresolved reference
2016 · External reference
“The Sinkhorn-Knopp algorithm: convergence and applications”
10.1137/060659624 · 2008 · External reference
“A fast algorithm for matrix balancing”
10.1093/imanum/drs019 · 2013 · External reference
“A symmetry preserving algorithm for matrix scaling”
10.1137/110825753 · 2014 · External reference
“On the optimal mapping of distributions”
10.1007/bf00934745 · 1984 · External reference
“On a generalization of cyclic monotonicity and distances among random vectors”
10.1016/0024-3795(94)90359-x · 1994 · External reference
“Optimal mass transport: signal processing and machine-learning applications”
10.1109/msp.2017.2695801 · 2017 · External reference
Unresolved reference
2016 · External reference
“A new optimal transport distance on the space of finite Radon measures”
10.57262/ade/1476369298 · 2016 · External reference
Unresolved reference
1949 · External reference
“Optimal transportation with capacity constraints”
10.1090/s0002-9947-2014-06032-7 · 2015 · External reference
10.1007/978-3-642-24488-9
10.1007/978-3-642-24488-9 · 2012 · External reference
“The invisible hand algorithm: Solving the assignment problem with statistical physics”
10.1016/0893-6080(94)90081-7 · 1994 · External reference
“Telefoonverkeersrekening”
1937 · External reference
“The Hungarian method for the assignment problem”
10.1002/nav.3800020109 · 1955 · External reference
10.1561/2200000019 · 2012 · Admitted local publication
Unresolved reference
2015 · External reference
Unresolved reference
2018 · External reference
“Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap”
10.1137/16m1068827 · 2017 · External reference
Unresolved reference
2017 · External reference
“Beyond bags of features: Spatial pyramid matching for recognizing natural scene categories”
2006 · External reference
“Existence and consistency of Wasserstein barycenters”
10.1007/s00440-016-0727-z · 2016 · External reference
“Learning the parts of objects by non-negative matrix factorization”
10.1038/44565 · 1999 · External reference
Unresolved reference
2018 · External reference
“Holder-Lipschitz norms and their duals on spaces with semigroups, with applications to earth mover’s distance”
10.1007/s00041-015-9439-5 · 2016 · External reference
“Imaging with Kantorovich-Rubinstein discrepancy”
10.1137/140975528 · 2014 · External reference
10.1017/cbo9781139026079
10.1017/cbo9781139026079 · 2012 · External reference
“From the Schrodinger problem to the Monge- Kantorovich problem”
10.1016/j.jfa.2011.11.026 · 2012 · External reference
“A survey of the Schrodinger problem and some of its connections with optimal transport”
10.3934/dcds.2014.34.1533 · 2014 · External reference
“A numerical algorithm for L2 semi-discrete optimal transport in 3D”
10.1051/m2an/2015055 · 2015 · External reference
“Notions of optimal transport theory and how to implement them on a computer”
10.1016/j.cag.2018.01.009 · 2018 · External reference
Unresolved reference
2013 · External reference
“A parallel method for Earth Mover’s distance”
10.1007/s10915-017-0529-1 · 2018 · External reference
Unresolved reference
2018 · External reference
“Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves”
10.1137/15m1041420 · 2016 · External reference
“Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures”
10.1007/s00222-017-0759-8 · 2018 · External reference
“Diffusion distance for histogram comparison”
2006 · External reference
“An efficient earth mover’s distance algorithm for robust histogram comparison”
10.1109/tpami.2007.1058 · 2007 · External reference
10.1145/276698.276880
10.1145/276698.276880 · 1998 · External reference
“Splitting algorithms for the sum of two nonlinear operators”
10.1137/0716071 · 1979 · External reference
“A nonparametric estimate of a multivariate density function”
10.1214/aoms/1177700079 · 1965 · External reference
“A survey for the quadratic assignment problem”
10.1016/j.ejor.2005.09.032 · 2007 · External reference
“Graph matching: relax at your own risk”
10.1109/tpami.2015.2424894 · 2016 · External reference
“Gradient flows of the entropy for finite Markov chains”
10.1016/j.jfa.2011.06.009 · 2011 · External reference
“A generalized model for optimal transport of images including dissipation and density modulation”
10.1051/m2an/2015043 · 2015 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2010 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2008 · External reference
“Optimal transport for secure spread-spectrum watermarking of still images”
10.1109/tip.2014.2305873 · 2014 · External reference
“Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation”
10.1051/m2an/2013126 · 2014 · External reference
“A convergent Lagrangian discretization for a nonlinear fourth-order equation”
10.1007/s10208-015-9284-6 · 2017 · External reference
Unresolved reference
2017 · External reference
#x201C;A macroscopic crowd motion model of gradient flow type”
10.1142/s0218202510004799 · 2010 · External reference
“A convexity principle for interacting gases”
10.1006/aima.1997.1634 · 1997 · External reference
Unresolved reference
2007 · External reference
“Gromov-Wasserstein distances and the metric approach to object matching”
10.1007/s10208-011-9093-5 · 2011 · External reference
“A theoretical and computational framework for isometry invariant recognition of point cloud data”
10.1007/s10208-004-0145-y · 2005 · External reference
“A multiscale approach to optimal transport”
10.1111/j.1467-8659.2011.02032.x · 2011 · External reference
“An optimal transport approach for seismic tomography: Application to 3D full waveform inversion”
10.1088/0266-5611/32/11/115008 · 2016 · External reference
Unresolved reference
2018 · External reference
“Geodesic convexity of the relative entropy in reversible Markov chains”
10.1007/s00526-012-0538-8 · 2013 · External reference
Unresolved reference
2013 · External reference
“Discretization of the 3D Monge-Ampere operator, between wide stencils and power diagrams”
10.1051/m2an/2015016 · 2015 · External reference
Unresolved reference
External reference
Unresolved reference
2016 · External reference
Unresolved reference
2014 · External reference
“On the application of the Monge-Kantorovich problem to image registration”
10.1137/080721522 · 2009 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2017 · External reference
“Point set registration: coherent pointdrift”
10.1109/tpami.2010.46 · 2010 · External reference
10.1137/05064206x
10.1137/05064206x · 2007 · External reference
“Introduction to automatic differentiation and Matlab object-oriented programming”
10.1137/080743627 · 2010 · External reference
“On complexity of matrix scaling”
10.1016/s0024-3795(99)00212-8 · 1999 · External reference
10.1137/1.9781611970791
10.1137/1.9781611970791 · 1994 · External reference
“Local histogram based segmentation using the Wasserstein distance”
10.1007/s11263-009-0234-0 · 2009 · External reference
10.1109/cdc.2014.7039793
10.1109/cdc.2014.7039793 · 2014 · External reference
“On matrix-valued Monge-Kantorovich optimal mass transport”
10.1109/tac.2014.2350171 · 2015 · External reference
10.1007/b98874
10.1007/b98874 · 1999 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
1989 · External reference
“Modeling the shape of the scene: a holistic representation of the spatial envelope”
10.1023/a:1011139631724 · 2001 · External reference
“Minimization for conditional simulation: Relationship to optimal transport”
10.1016/j.jcp.2014.01.048 · 2014 · External reference
“A polynomial time primal network simplex algorithm for minimum cost flows”
10.1007/bf02614365 · 1997 · External reference
“A new class of metric divergences on probability spaces and its applicability in statistics”
10.1007/bf02517812 · 2003 · External reference
“The geometry of dissipative evolution equations: the porous medium equation”
10.1081/pde-100002243 · 2001 · External reference
Unresolved reference
2001 · External reference
“A survey on transfer learning”
10.1109/tkde.2009.191 · 2010 · External reference
“Amplitude and phase variation of point processes”
10.1214/15-aos1387 · 2016 · External reference
“Optimal transport with proximal splitting”
10.1137/130920058 · 2014 · External reference
“On the local structure of optimal measures in the multimarginal optimal transportation problem”
10.1007/s00526-011-0421-z · 2012 · External reference
“Multi-marginal optimal transport: theory and applications”
10.1051/m2an/2015020 · 2015 · External reference
10.1007/978-3-642-40020-9_43
10.1007/978-3-642-40020-9_43 · 2013 · External reference
10.1007/978-3-540-88690-7_37
10.1007/978-3-540-88690-7_37 · 2008 · External reference
Unresolved reference
2009 · External reference
“The Hele-Shaw asymptotics for mechanical models of tumor growth”
10.1007/s00205-013-0704-y · 2014 · External reference
“Entropic approximation of Wasserstein gradient flows”
10.1137/15m1010087 · 2015 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2011 · External reference
“Generalized Wasserstein distance and its application to transport equations with source”
10.1007/s00205-013-0669-x · 2014 · External reference
“Automated colour grading using colour distribution transfer”
10.1016/j.cviu.2006.11.011 · 2007 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
2011 · External reference
Unresolved reference
1998 · External reference
Unresolved reference
1998 · External reference
10.1007/3-540-10861-0
10.1007/3-540-10861-0 · 1981 · External reference
“On Wasserstein two- sample testing and related families of nonparametric tests”
10.3390/e19020047 · 2017 · External reference
“Convergence properties of the softassign quadratic assignment algorithm”
10.1162/089976699300016313 · 1999 · External reference
#x201C;A nonparametric ensemble transform method for Bayesian inference”
10.1137/130907367 · 2013 · External reference
“Monotone operators and the proximal point algorithm”
10.1137/0314056 · 1976 · External reference
“Fast dictionary learning with a smoothed Wasserstein loss”
2016 · External reference
“The earth mover’s distance as a metric for image retrieval”
10.1023/a:1026543900054 · 2000 · External reference
“Convergence of the iterative proportional fitting Procedure”
10.1214/aos/1176324703 · 1995 · External reference
“A characterization of random variables with minimum L2-distance”
10.1016/0047-259x(90)90070-x · 1990 · External reference
“Closedness of sum spaces and the generalized Schrodinger problem”
10.1137/s0040585x97976301 · 1998 · External reference
“On the n-coupling problem”
10.1006/jmva.2001.2005 · 2002 · External reference
“Vector and matrix optimal mass transport: theory, algorithm, and applications”
10.1137/17m1163396 · 2017 · External reference
“Unbalanced and partial L1 Monge-Kantorovich problem: a scalable parallel firstorder method”
10.1007/s10915-017-0600-y · 2017 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
1957 · External reference
“Nonnegative matrix factorization with earth mover’s distance metric for image analysis”
10.1109/tpami.2011.18 · 2011 · External reference
10.1007/978-3-319-20828-2
10.1007/978-3-319-20828-2 · 2015 · External reference
“{Euclidean, metric, and Wasserstein} gradient flows: an overview”
10.1007/s13373-017-0101-1 · 2017 · External reference
Unresolved reference
2018 · External reference
“Optimal transport for particle image velocimetry”
10.4310/cms.2015.v13.n1.a13 · 2015 · External reference
Unresolved reference
2017 · External reference
“A sparse multiscale algorithm for dense optimal transport”
10.1007/s10851-016-0653-9 · 2016 · External reference
Unresolved reference
2016 · External reference
“Modelling convex shape priors and matching based on the Gromov-Wasserstein distance”
10.1007/s10851-012-0375-6 · 2013 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2017 · External reference
“Metric spaces and positive definite functions”
10.1090/s0002-9947-1938-1501980-0 · 1938 · External reference
Unresolved reference
2002 · External reference
Unresolved reference
1931 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2008 · External reference
Unresolved reference
1986 · External reference
“A relationship between arbitrary positive matrices and doubly stochastic matrices”
10.1214/aoms/1177703591 · 1964 · External reference
“GPU-based softAssign for maximizing image utilization in photomosaics”
10.15803/ijnc.1.2_211 · 2011 · External reference
“Convolutional Wasserstein distances: efficient optimal transportation on geometric domains”
10.1145/2766963 · 2015 · External reference
“Dirichlet energy for analysis and synthesis of soft maps”
10.1111/cgf.12186 · 2013 · External reference
“Entropic metric alignment for correspondence problems”
10.1145/2897824.2925903 · 2016 · External reference
“Earth mover’s distances on discrete surfaces”
2014 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2014 · External reference
“Inference for empirical Wasserstein distances on finite spaces”
10.1111/rssb.12236 · 2018 · External reference
Unresolved reference
2009 · External reference
“On the empirical estimation of integral probability metrics”
10.1214/12-ejs722 · 2012 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2002 · External reference
Unresolved reference
2012 · External reference
“Optimal mass transport for shape matching and comparison”
10.1109/tpami.2015.2408346 · 2015 · External reference
Unresolved reference
1979 · External reference
Unresolved reference
2017 · External reference
“An efficient approach for the numerical solution of the Monge-Ampere equation”
10.1016/j.apnum.2010.10.006 · 2011 · External reference
“Convex variational image restoration with histogram priors”
10.1137/120897535 · 2013 · External reference
“Testing for equal distributions in high dimension”
2004 · External reference
“Wasserstein geometry of Gaussian measures”
2011 · External reference
“Optimal transportation under controlled stochastic dynamics”
10.1214/12-aop797 · 2013 · External reference
“Dynamic trees as search trees via Euler tours, applied to the network simplex algorithm”
10.1007/bf02614369 · 1997 · External reference
#x201C;Wasserstein loss for image synthesis and restoration”
10.1137/16m1067494 · 2016 · External reference
“A transportation Lp distance for signal analysis”
10.1007/s10851-017-0726-4 · 2017 · External reference
Unresolved reference
1930 · External reference
“Metody ustraneniya neratsional’nykh perevozok pri- planirovanii [Russian; Methods of removing irrational transportation in planning]”
1939 · External reference
“Metamorphoses through Lie group action”
10.1007/s10208-004-0128-z · 2005 · External reference
“On the Monge mass transfer problem”
10.1007/pl00009922 · 2001 · External reference
Unresolved reference
2005 · External reference
“On the behavior of the fundamental solution of the heat equation with variable coefficients”
10.1002/cpa.3160200210 · 1967 · External reference
Unresolved reference
2003 · External reference
10.1007/978-3-540-71050-9
10.1007/978-3-540-71050-9 · 2009 · External reference
“Measure-valued variational models with applications to diffusion-weighted imaging”
10.1007/s10851-018-0827-8 · 2018 · External reference
Unresolved reference
2012 · External reference
“An optimal transportation approach for nuclear structure-based pathology”
10.1109/tmi.2010.2089693 · 2011 · External reference
“A linear optimal transportation framework for quantifying and visualizing variations in sets of images”
10.1007/s11263-012-0566-z · 2013 · External reference
Unresolved reference
2017 · External reference
“Distance metric learning for large margin nearest neighbor classification”
2009 · External reference
“Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations”
10.1051/m2an/2009043 · 2010 · External reference
Unresolved reference
1969 · External reference
“Synthesizing and mixing stationary Gaussian texture models”
10.1137/130918010 · 2014 · External reference
“On the methods of measuring association between two attributes”
10.2307/2340126 · 1912 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2014 · External reference
“An image morphing technique based on optimal mass preserving mapping”
10.1109/tip.2007.896637 · 2007 · External reference
“Transport distances and geodesic convexity for systems of degenerate diffusion equations”
10.1007/s00526-015-0909-z · 2015 · External reference
