My name in title from Math Reviews
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Vaserstein in title from Math. Reviews 14 items
MR3828791 Pending Rao, Dhvanita R.; Kolte, Sagar Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol. J. Algebra 510 (2018), 458–468. 19G12 (13C10 14B20 14D06 19D99)
MR3144594 Rao, Dhvanita R.; Gupta, Neena On the non-injectivity of the Vaserstein symbol in dimension three. J. Algebra 399 (2014), 378–388. (Reviewer: L. N. Vaserstein) 13C10 (19B14 19G12)
MR3071388 Butkovsky, O. A.; Veretennikov, A. Yu. On asymptotics for Vaserstein coupling of Markov chains. Stochastic Process. Appl. 123 (2013), no. 9, 3518–3541. 60J05 (60B10 60J22)
MR2749274 Vavilov, N. A.; Sinchuk, S. S. Decompositions of Dennis-Vaserstein type. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 375 (2010), Voprosy Teorii Predstavleniĭ Algebr i Grupp. 19, 48--60, 210; translation in J. Math. Sci. (N.Y.) 171 (2010), no. 3, 331–337 (Reviewer: Mikhail V. Belolipetsky) 20G35
MR2473300 Ivarsson, Björn; Kutzschebauch, Frank A solution of Gromov's Vaserstein problem. C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1239–1243. (Reviewer: Sergey Ivashkovich) 32E10 (15A23 15A54)
MR1701386 Abdellaoui, Taoufiq Approximation de la
L1-distance de Wasserstein. (French) [Approximation of
L1-Vaserstein distance] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1203–1206. 60E05
MR1352866 Zhang, Zhao Ji On a problem of Vaserstein. (Chinese) Zhejiang Daxue Xuebao Ziran Kexue Ban 28 (1994), no. 5, 608–611. (Reviewer: Qi Sun) 11C20 (11A05)
MR1155684 Hinson, Edward K. On Vaserstein's power operation on elementary orbits. Comm. Algebra 20 (1992), no. 1, 303–307. (Reviewer: Charles Weibel) 19B99 (20H25)
MR1209844 Simonot, François Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein. (French) [Analysis of the stability of storage systems using the Vaserstein metric] Statist. Anal. Données 16 (1991), no. 3, 183–201. 60K30
MR1113961 Hinson, Edward K. On Vaserstein's power operation on elementary orbits. Comm. Algebra 19 (1991), no. 6, 1851–1854. (Reviewer: Charles Weibel) 19B99 (20H25)
MR0882802 van der Kallen, Wilberd Vaserstein's pre-stabilization theorem over commutative rings. Comm. Algebra 15 (1987), no. 3, 657–663. (Reviewer: Roger C. Alperin) 18F25 (16A54 19B10)
MR4050015 Prelim Syed, Tariq; A generalized Vaserstein symbol. Ann. K-Theory 4 (2019), no. 4, 671–706. 19A13 (13C10 14F42 19G38)
MR4224354 Prelim Carroll, Tom; Massaneda, Xavier; Ortega-Cerdà, Joaquim; An enhanced uncertainty principle for the Vaserstein distance. Bull. Lond. Math. Soc. 52 (2020), no. 6, 1158–1173. 35P20 (28A75 49Q22 58C40)
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Vasershtein in title from Math. Reviews 1 item
MR0583946 (82e:62057) Papantoni-Kazakos, P. The Vasershtein distance as the stability criterion in robust estimation.
IEEE Trans. Inform. Theory 26 (1980), no. 5, 620--625. 62F35
In the models used by Hampel as well as by Gray and the author for the qualitative analysis of robust parameter estimators, the Prohorov stability criterion was used. The Vasershtein distance is proposed here as an alternative stability measure. This measure, in contrast to the Prohorov criterion, implies performance stability of the estimators and leads to a constructive analysis for exponentially fast convergence.
Vasseršteĭn and Vasserstein in title from Math. Reviews 2 items
MR1015898 (90k:82006) Kirillov, A. B.; Rădulescu, D. C.; Styer, D. F. Vasserstein distances in two-state systems. J. Statist. Phys. 56 (1989), no. 5-6, 931--937. (Reviewer: Milos Zahradnik) 82A05 (82A68)
Abstract We present formulas for the Vasserstein distance between two statistical
mechanical states of a two-state system. For example, in a ferromagnetic spin-1/2 Ising
model the Vasserstein distance is half the difference in the magnetizations.
MR0328982 (48 #7324) Vallander, S. S. Calculations of the Vasseršteĭn distance between probability distributions on the line. (Russian) Teor. Verojatnost. i Primenen. 18 (1973), 824--827. (Reviewer: I. Csiszar) 60B05. English translation: Theory Probab. Appl., 18(4), 784–786. (3 pages)
Abstract: We prove that the Wasserstein distance between probability distributions on thVasershtein in title from Math. Reviews 1 item
Wasserstein in title from Math. Reviews
Wasserstein in title from Math. Reviews 1978-1999 17 items
MR0536797 (80d:62004b) Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. Vol. B. Held in Prague, August 28–September 1, 1978. D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1978. 402 pp. ISBN: 90-277-0913-0 62-06 (60-06 90-06 93Exx 94Axx)
MR0536824 (81e:60003) Szulga, Alicja On the Wasserstein metric. Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1978), Vol. B, pp. 267--273, Reidel, Dordrecht-Boston, Mass., 1978. (Reviewer: V. J. Paulauskas) 60B05 (90A05)
MR0752258 (85m:60009) Givens, Clark R.; Shortt, Rae Michael A class of Wasserstein metrics for probability distributions. Michigan Math. J. 31 (1984), no. 2, 231--240. (Reviewer: R. M. Dudley) 60B10 (60E15)
MR0795791 (86m:60004) Rüschendorf, Ludger The Wasserstein distance and approximation theorems. Z. Wahrsch. Verw. Gebiete 70 (1985), no. 1, 117--129. (Reviewer: S. T. Rachev) 60A10 (60B10 60G05)
MR1009457 (90k:60029) Cuesta, Juan Antonio; Matrán, Carlos Notes on the Wasserstein metric in Hilbert spaces. Ann. Probab. 17 (1989), no. 3, 1264--1276. (Reviewer: S. T. Rachev) 60E05 (60B05 60B12)
MR1074632 (92d:60007) Rachev, S. T.; Shortt, R. M. Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals. Dissertationes Math. (Rozprawy Mat.) 299 (1990), 35 pp. (Reviewer: Donald L. Cohn) 60B10 (60F05 60F17)
MR1127323 (93a:62081) Gelbrich, Matthias On a formula for the $L^2$ Wasserstein metric between measures on Euclidean and Hilbert spaces. Math. Nachr. 147 (1990), 185--203. (Reviewer: Juan A. Cuesta-Albertos) 62H05 (60B11 62E10)
MR1209844 (93m:60194) Simonot, François Analyse de la stabilité de systèmes de stockage par la métrique de Wasserstein. (French) [Analysis of the stability of storage systems using the Vaserstein metric] Statist. Anal. Données 16 (1991), no. 3, 183--201. 60K30
MR1165653 (93h:60010) Cuesta, Juan A.; Matrán, Carlos A review on strong convergence of weighted sums of random elements based on Wasserstein metrics. J. Statist. Plann. Inference 30 (1992), no. 3, 359--370. (Reviewer: A. Bozorgnia) 60B12 (60B11)
MR1207216 (94a:60019) Tuero, Araceli On the stochastic convergence of representations based on Wasserstein metrics. Ann. Probab. 21 (1993), no. 1, 72--85. (Reviewer: Ludger Rüschendorf) 60E05 (60B10)
MR1297788 (95i:60026) Cuesta-Albertos, Juan A.; Matrán-Bea, Carlos Stochastic convergence through Skorohod representation theorems and Wasserstein distances. First International Conference on Stochastic Geometry, Convex Bodies and Empirical Measures (Palermo, 1993). Rend. Circ. Mat. Palermo (2) Suppl. No. 35 (1994), 89--113. (Reviewer: Mindaugas Bloznelis) 60F15 (60B11 60B12 60F25)
MR1329874 (96d:60020) Horowitz, Joseph; Karandikar, Rajeeva L. Mean rates of convergence of empirical measures in the Wasserstein metric. J. Comput. Appl. Math. 55 (1994), no. 3, 261--273. (Reviewer: Joseph E. Yukich) 60D05 (60C05)
MR1385397 (97d:60025) Cuesta-Albertos, J. A.; Matrán-Bea, C.; Tuero-Diaz, A. On lower bounds for the $L^2$-Wasserstein metric in a Hilbert space. J. Theoret. Probab. 9 (1996), no. 2, 263--283. (Reviewer: Ludger Rüschendorf) 60E15
MR1485526 (98g:60105) Gelbrich, Matthias; Rachev, Svetlozar T. Discretization for stochastic differential equations, $L^p$ Wasserstein metrics, and econometrical models. Distributions with fixed marginals and related topics (Seattle, WA, 1993), 97--119, IMS Lecture Notes Monogr. Ser., 28, Inst. Math. Statist., Hayward, CA, 1996. 60H10 (60F17)
MR1698999 (2000g:60034) del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos Central limit theorems for the Wasserstein distance between the empirical and the true distributions. Ann. Probab. 27 (1999), no. 2, 1009--1071. (Reviewer: Lajos Horváth) 60F05 (60B12 62E20). Zentralblatt MATH: 0958.60012. Cited by 45
MR1701386 (2000f:60019) Abdellaoui, Taoufiq Approximation de la $L^1$-distance de Wasserstein. (French) [Approximation of $L^1$-Vaserstein distance] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1203--1206. 60E05
MR1726488 (2000k:65173) Kinderlehrer, David; Walkington, Noel J. Approximation of parabolic equations using the Wasserstein metric. M2AN Math. Model. Numer. Anal. 33 (1999), no. 4, 837--852. (Reviewer: Wilfrid Gangbo) 65M60 (35A35)
MR1740113 (2001a:60024) del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos; Rodríguez-Rodríguez, Jesús M. Tests of goodness of fit based on the $L_2$-Wasserstein distance. Ann. Statist. 27 (1999), no. 4, 1230--1239. (Reviewer: Lajos Horváth) 60F05 (60F25 62E20)
Wasserstein in title from Math. Reviews 2000-2003 11 items
MR1769953 (2001b:60008) Belili, Nacereddine; Heinich, Henri Distances de Wasserstein et de Zolotarev. (French) [Wasserstein and Zolotarev distances] C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 9, 811--814. 60B10 (60E05)
MR1784174 (2002b:60055) Mikami, T. Dynamical systems in the variational formulation of the Fokker-Planck equation by the Wasserstein metric. Appl. Math. Optim. 42 (2000), no. 2, 203--227. (Reviewer: Shuenn Jyi Sheu) 60F15 (60H30 82C35)
MR1788425 (2002k:94006) Gangbo, Wilfrid; McCann, Robert J. Shape recognition via Wasserstein distance. Quart. Appl. Math. 58 (2000), no. 4, 705--737. 94A08 (28A35 49Q20). Zbl 1039.49038
MR1865668 (2002h:49069) Benamou, J. D.; Brenier, Y. Mixed $L^2$-Wasserstein optimal mapping between prescribed density functions. J. Optim. Theory Appl. 111 (2001), no. 2, 255--271. 49Q20 (49M30 65K10)
MR1878316 (2003d:46087) Biane, P.; Voiculescu, D. A free probability analogue of the Wasserstein metric on the trace-state space. Geom. Funct. Anal. 11 (2001), no. 6, 1125--1138. (Reviewer: Dimitri Y. Shlyakhtenko) 46L54
MR1915779 (2003d:62061) de Wet, T. Goodness-of-fit tests for location and scale families based on a weighted $L_2$-Wasserstein distance measure. Test 11 (2002), no. 1, 89--107. 62F05 (60G15 62E20). Zentralblatt MATH: 1037.62007
MR1936827 (2003h:28006) Belili, Nacereddine; Heinich, Henri Approximation pour la distance de Wasserstein. (French) [Approximation for the Wasserstein distance] C. R. Math. Acad. Sci. Paris 335 (2002), no. 6, 537--540. (Reviewer: Klaus D. Schmidt) 28A33 (60A10)
MR2058979 (2005k:62030) Cuesta-Albertos, Juan A.; Matrán Bea, Carlos; Rodríguez Rodríguez, Jesús M. Shape of a distribution through the $L_2$-Wasserstein distance. Distributions with given marginals and statistical modelling, 51--61, Kluwer Acad. Publ., Dordrecht, 2002. 62E10 (62E17 62H05)
MR1964961 (2004b:60060) del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos Correction: ``Central limit theorems for the Wasserstein distance between the empirical and the true distributions'' [Ann. Probab. 27 (1999), no. 2, 1009--1071; MR1698999 (2000g:60034)]. Ann. Probab. 31 (2003), no. 2, 1142--1143. 60F05 (60B12 62E20)
MR1983782 (2004c:49027) Carlen, E. A.; Gangbo, W. Constrained steepest descent in the 2-Wasserstein metric. Ann. of Math. (2) 157 (2003), no. 3, 807--846. (Reviewer: Luigi De Pascale) 49J45 (35Q99 49J10 60H15 82C35)
MR2073437 (2005f:60056) Haeusler, Erich; Mason, David M. Asymptotic distributions of trimmed Wasserstein distances between the true and the empirical distribution function. Stochastic inequalities and applications, 279--298, Progr. Probab., 56, Birkhäuser, Basel, 2003. (Reviewer: Lajos Horváth) 60F05 (62G30)
Wasserstein in title from Math. Reviews 2004-2006 12 items
MR2048566 (2005b:82075) Carlen, E. A.; Gangbo, W. Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Arch. Ration. Mech. Anal. 172 (2004), no. 1, 21--64. (Reviewer: Laurent E. Gosse) 82C40 (35D05 35K15 82C31)
MR2094049 (2005k:60231) Gibbs, Alison L. Convergence in the Wasserstein metric for Markov chain Monte Carlo algorithms with applications to image restoration. Stoch. Models 20 (2004), no. 4, 473--492. (Reviewer: John P. Lehoczky) 60J20 (62M40)
MR2091496 (2005h:35304) Di Francesco, Marco; Markowich, Peter A. Entropy dissipation and Wasserstein metric methods for the viscous Burgers' equation: convergence to diffusive waves. Partial differential equations and inverse problems, 145--165, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, 2004. (Reviewer: Alp O. Eden) 35Q53 (35B40 35K55)
MR2163983 (2006c:35147) Carrillo, J. A.; Toscani, G. Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. New trends in mathematical physics, 234--244, World Sci. Publ., Hackensack, NJ, 2004. 35K57 (35B40 45K05 76T25 82C40 82C70)
MR2121458 (2005k:62135) del Barrio, Eustasio; Giné, Evarist; Utzet, Frederic Asymptotics for $L_2$ functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances. Bernoulli 11 (2005), no. 1, 131--189. (Reviewer: Lajos Horváth) 62G30 (60F05). Zbl 1063.62072
MR2192294 (2007c:28003) Otto, Felix; Westdickenberg, Michael Eulerian calculus for the contraction in the Wasserstein distance. SIAM J. Math. Anal. 37 (2005), no. 4, 1227--1255 (electronic). 28A33
MR2305058 Ambrosio, L. Gradient flows in metric spaces and in the Wasserstein space of probability measures. (Italian) Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 29 (2005), no. 1, 15--33. 28A33 (49Q20)
MR2148889 (2006i:35052) Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 15 (2004), no. 3-4, 327--343. (Reviewer: Gong Qing Zhang) 35J20 (28A33 35A15)
MR2209130 (2006j:76121) Carrillo, José A.; McCann, Robert J.; Villani, Cédric Contractions in the 2-Wasserstein length space and thermalization of granular media. Arch. Ration. Mech. Anal. 179 (2006), no. 2, 217--263. (Reviewer: Benoˆıt P. Desjardins) 76M30 (35K57 58E50 76T25 82C40)
MR2250166 (2007j:49051) Brancolini, A.; Buttazzo, G.; Santambrogio, F. Path functionals over Wasserstein spaces. J. Eur. Math. Soc. (JEMS) 8 (2006), no. 3, 415--434. (Reviewer: Luigi De Pascale) 49Q20 (28A33 49J45 58E10 90B10). Zbl 1130.49036
MR2274850 (2008f:62025) Barbour, A. D.; Xia, Aihua On Stein's factors for Poisson approximation in Wasserstein distance. Bernoulli 12 (2006), no. 6, 943--954. (Reviewer: Dominic Schuhmacher) 62E17
MR2287892 (2007k:35315) Carrillo, José A.; Di Francesco, Marco; Lattanzio, Corrado Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws. J. Differential Equations 231 (2006), no. 2, 425--458. (Reviewer: Yu. G. Rykov) 35L65 (35B40)
MR3930050 Fasel, Jean The Vaserstein symbol on real smooth affine threefolds.
K-Theory—Proceedings of the International Colloquium, Mumbai, 2016, 211–222, Hindustan Book Agency, New Delhi, 2018. (Reviewer: Oliver Röndigs) 19G99 (14F42)
Wasserstein in title from Math. Reviews 2007 5 items
MR2255281 (2007k:35255) Carrillo, J. A.; Di Francesco, M.; Toscani, G. Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Proc. Amer. Math. Soc. 135 (2007), no. 2, 353--363 (electronic). (Reviewer: Ross Pinsky) 35K57 (35B40 35K15)
MR2267755 (2007k:49001) Lisini, Stefano Characterization of absolutely continuous curves in Wasserstein spaces. Calc. Var. Partial Differential Equations 28 (2007), no. 1, 85--120. (Reviewer: Paul Raynaud de Fitte) 49J10 (28A33 35Q35 49Q20)
MR2314463 (2008m:49206) Ambrosio, Luigi; Santambrogio, Filippo Necessary optimality conditions for geodesics in weighted Wasserstein spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), no. 1, 23--37. 49Q20 (35K55 49K05 76M30 76N10)
MR2339442 (2009d:35215) Carrillo, J. A.; Di Francesco, M.; Lattanzio, C. Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), no. 2, 277--292. 35L65 (28A33)
MR2343987 (2008f:35211) Tudorascu, Adrian Wasserstein kernels for one-dimensional diffusion problems. Nonlinear Anal. 67 (2007), no. 9, 2553--2572. (Reviewer: Toka Diagana) 35K57 (35D05 35R35 49M25)
Wasserstein in title from Math. Reviews 2008 16 items (see VinTitle2 for for other 13 items)
MR2350420 (2009e:60010) Clement, Philippe; Desch, Wolfgang An elementary proof of the triangle inequality for the Wasserstein metric. Proc. Amer. Math. Soc. 136 (2008), no. 1, 333--339 (electronic). (Reviewer: Luigi De Pascale) 60B05 (49Q20)
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MR2361303 (2009b:37101) Ambrosio, Luigi; Gangbo, Wilfred Hamiltonian ODEs in the Wasserstein space of probability measures. Comm. Pure Appl. Math. 61 (2008), no. 1, 18--53. (Reviewer: Cédric Villani) 37J05 (28A33 34F05 49J52 60B10)
MR2358290 (2009b:58014) Lott, John Some geometric calculations on Wasserstein space. Comm. Math. Phys. 277 (2008), no. 2, 423--437. (Reviewer: Cédric Villani) 58B20 (58J65)
MR2386101 (2009g:60007) Decreusefond, L. Wasserstein distance on configuration space. Potential Anal. 28 (2008), no. 3, 283--300. (Reviewer: Ali Süleyman Üstünel) 60B05 (60H07)
MR2389987 (2008m:35140) Tudorascu, Adrian On the Jordan-Kinderlehrer-Otto variational scheme and constrained optimization in the Wasserstein metric. Calc. Var. Partial Differential Equations 32 (2008), no. 2, 155--173. 35K15 (35A15 35A35 46E35 46N20 49J45 49M25)
MR2395521 (2009c:35041) Di Francesco, Marco; Wunsch, Marcus Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models. Monatsh. Math. 154 (2008), no. 1, 39--50. (Reviewer: Fucai Li) 35G25 (35B40 45M05 76X05 82D37)
MR2403310 (2010a:49064) Champion, Thierry; De Pascale, Luigi; Juutinen, Petri The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps. SIAM J. Math. Anal. 40 (2008), no. 1, 1--20. 49Q20 (49K30)
MR2417812 (2009e:53038) Figalli, A.; Juillet, N. Absolute continuity of Wasserstein geodesics in the Heisenberg group. J. Funct. Anal. 255 (2008), no. 1, 133--141. (Reviewer: Cédric Villani) 53C17 (22E25 49Q15)
MR2443374 (2010b:60009) Clément, Philippe; Desch, Wolfgang Wasserstein metric and subordination. Studia Math. 189 (2008), no. 1, 35--52. (Reviewer: Paul Raynaud de Fitte) 60B05 (28A33 47D06 54E35)
MR2452882 (2009k:58072) Daneri, Sara; Savaré, Giuseppe Eulerian calculus for the displacement convexity in the Wasserstein distance. SIAM J. Math. Anal. 40 (2008), no. 3, 1104--1122. (Reviewer: Chloé Jimenez) 58J65 (49J10)
MR2478676 Hairer, Martin; Mattingly, Jonathan C. Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Ann. Probab. 36 (2008), no. 6, 2050--2091. 35Q35 (35R60 47D07 60H15 76D05 76M35)
MR2482206 Ambrosio, Luigi; Gigli, Nicola Construction of the parallel transport in the Wasserstein space. Methods Appl. Anal. 15 (2008), no. 1, 1--29. (Reviewer: Koji Kikuchi) 49Q20 (28A33 35K55 47J35)
MR2483740 Bolley, F. Separability and completeness for the Wasserstein distance. Séminaire de probabilités XLI, 371--377, Lecture Notes in Math., 1934, Springer, Berlin, 2008. 60B05
MR2481677 Gangbo, Wilfrid; Nguyen, Truyen; Tudorascu, Adrian Hamilton-Jacobi equations in the Wasserstein space. Methods Appl. Anal. 15 (2008), no. 2, 155--183. 49L25 (47Jxx 82C40)
MR2487455 Walczuk, Anna Central limit theorem for an additive functional of a Markov process, stable in the Wesserstein metric. [Central limit theorem for an additive functional of a Markov process, stable in the Wasserstein metric] Ann. Univ. Mariae Curie-Skƚodowska Sect. A 62 (2008), 149--159. 60J25 (60F05)
MR2509579 Verde, Rosanna; Irpino, Antonio Comparing histogram data using a Mahalanobis-Wasserstein distance. COMPSTAT 2008---Proceedings in Computational Statistics, 77--89, Physica-Verlag/Springer, Heidelberg, 2008. 62G09 (62H11). Zbl 1147.62054
Wasserstein in title from Math. Reviews 2009 15 items (see VinTitle2 for other 17 items)
MR2713745 Kim, Hwa Kil; Hamiltonian systems and the calculus of differential forms on the Wasserstein space. Thesis (Ph.D.)–Georgia Institute of Technology. 2009. 87 pp. ISBN: 978-1109-37242-7, ProQuest LLC, Thesis
MR2599206 (2011d:60108) Schachermayer, Walter; Schmock, Uwe; Teichmann, Josef Non-monotone convergence in the quadratic Wasserstein distance. Séminaire de Probabilités XLII, 131–136, Lecture Notes in Math., 1979, Springer, Berlin, 2009. (Reviewer: Liviu Constantin Florescu), 60F99 (28A99 91B24)
MR2503990 Ohta, Shin-ichi Gradient flows on Wasserstein spaces over compact Alexandrov spaces. Amer. J. Math. 131 (2009), no. 2, 475--516. 53Cxx (46Txx)
MR2501322 Xia, Aihua; Zhang, Fuxi Polynomial birth-death distribution approximation in the Wasserstein distance. J. Theoret. Probab. 22 (2009), no. 2, 294--310. 60F05 (60J27)
MR2505360 Gangbo, W.; Nguyen, T.; Tudorascu, A. Euler-Poisson systems as action-minimizing paths in the Wasserstein space. Arch. Ration. Mech. Anal. 192 (2009), no. 3, 419--452. 37J50 (35G30 37N20 58Exx)
MR2523014 Petrelli, Luca; Kearsley, Anthony J. Wasserstein metric convergence method for Fokker-Planck equations with point controls. Appl. Math. Lett. 22 (2009), no. 7, 1130--1135. 35K20 (49J45)
MR2520126 Döring, Maik; Stannat, Wilhelm The logarithmic Sobolev inequality for the Wasserstein diffusion. Probab. Theory Related Fields 145 (2009), no. 1-2, 189--209. 31C25 (28Axx 35P15 47D07)
MR2537551 von Renesse, Max-K.; Sturm, Karl-Theodor Entropic measure and Wasserstein diffusion. Ann. Probab. 37 (2009), no. 3, 1114--1191. 60G57 (35R60 47D07 58J65 60J60)
MR2542579 Lisini, Stefano Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces. ESAIM Control Optim. Calc. Var. 15 (2009), no. 3, 712--740. 35K57 (28Axx 35B40 35K15)
MR2529165 Dostoglou, S.; Kahl, J. D. Approximation of homogeneous measures in the 2-Wasserstein metric. Math. Phys. Electron. J. 15 (2009), Paper 1, 19 pp. 60B10 (28Axx 35A35 49Q20)
MR2543873 Joulin, Aldéric A new Poisson-type deviation inequality for Markov jump processes with positive Wasserstein curvature. Bernoulli 15 (2009), no. 2, 532--549. 60J75
MR2543874 Schuhmacher, Dominic Stein's method and Poisson process approximation for a class of Wasserstein metrics. Bernoulli 15 (2009), no. 2, 550--568. 62E17
MR2533926 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Arch. Ration. Mech. Anal. 194 (2009), no. 1, 133--220. 35Qxx
MR2540269 Natile, Luca; Savaré, Giuseppe A Wasserstein approach to the one-dimensional sticky particle system. SIAM J. Math. Anal. 41 (2009), no. 4, 1340--1365. 35L65 (35L45 35Q35 76N15 82C22)
MR2555474 Hauray, Maxime Wasserstein distances for vortices approximation of Euler-type equations. Math. Models Methods Appl. Sci. 19 (2009), no. 8, 1357--1384. 35Q31 (35L65)
Wasserstein in title from Math. Reviews 2010. 14 items (see VinTitle2 for other 20 items )
MR2672546 Lisini, Stefano; Marigonda, Antonio On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals. Manuscripta Math. 133 (2010), no. 1-2, 197–224, 49Q20 (49J27 49J40)
MR2655156 Irpino, Antonio; Verde, Rosanna Clustering linear models using Wasserstein distance. Data analysis and classification, 41–48, Stud. Classification Data Anal. Knowledge Organ., Springer, Berlin, 2010, 62H30 (62J05)
MR2652014 Portegies, Jacobus W.; Peletier, Mark A. Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows. Interfaces Free Bound. 12 (2010), no. 2, 121–150, 35Rxx (80Axx 82Dxx)
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MR2730652 Madras, Neal; Sezer, Deniz Quantitative bounds for Markov chain convergence: Wasserstein and total variation distances. Bernoulli 16 (2010), no. 3, 882–908, 60J22
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MR2801182 Agueh, Martial; Carlier, Guillaume Barycenters in the Wasserstein space. SIAM J. Math. Anal. 43 (2011), no. 2, 904–924, 49Q20 (28A33 49K10 60D99). Zbl 1223.49045
MR2799600 Lipman, Y.; Daubechies, I. Conformal Wasserstein distances: comparing surfaces in polynomial time. Adv. Math. 227 (2011), no. 3, 1047–1077, 53C23. Zbl 1217.53026
MR2799815 Shao, Jinghai Transportation cost inequalities for Wasserstein diffusions. Bull. Sci. Math. 135 (2011), no. 4, 383–394, 60J68 (28A33 47D07 58Jxx 60J35). Zbl 1221.60118
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MR2811584 Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. Found. Comput. Math. 11 (2011), no. 4, 417–487, 68T10 (49Q15 54E35 60B05 60B10 68U10). Zbl pre05977706
MR2740101 Muskulus, Michael; Verduyn-Lunel, Sjoerd Wasserstein distances in the analysis of time series and dynamical systems. Phys. D 240 (2011), no. 1, 45–58, 37M10 (60G35 62M10). Zbl 1214.37054
MR2815689 Herrmann, Michael; Niethammer, Barbara Kramers' formula for chemical reactions in the context of Wasserstein gradient flows. Commun. Math. Sci. 9 (2011), no. 2, 623–635, 35Q84 (35B25 49S05 80Axx). Zbl 1219.35315
MR2861675 Boissard, Emmanuel Simple bounds for convergence of empirical and occupation measures in 1-Wasserstein distance. Electron. J. Probab. 16 (2011), no. 83, 2296–2333. 60B10 (39B72). Zbl pre06049139. Published: NOV 15 2011
MR2871291 Takatsu, Asuka Wasserstein geometry of Gaussian measures. Osaka J. Math. 48 (2011), no. 4, 1005–1026. 53Cxx (60D05 60G15). Zbl pre06006848. Published: DEC 2011. pdf
MR2857030 Stannat, Wilhelm Functional inequalities for the Wasserstein Dirichlet form. Seminar on Stochastic Analysis, Random Fields and Applications VI, 245–260, Progr. Probab., 63, Birkhäuser/Springer Basel AG, Basel, 2011. (Reviewer: Ren Ming Song) 60J60 (28A33 35A23 35P15 47D07 58J65 60J35)
MR2851684 Caillerie, Claire; Chazal, Frédéric; Dedecker, Jérôme; Michel, Bertrand Deconvolution for the Wasserstein metric and geometric inference. Electron. J. Stat. 5 (2011), 1394–1423. (Reviewer: Vera Pawlowsky-Glahn) 62H12 (28A33 60B10 60D99 62G07 62G99)
MR2843007 Eberle, Andreas Reflection coupling and Wasserstein contractivity without convexity. C. R. Math. Acad. Sci. Paris 349 (2011), no. 19-20, 1101–1104. 60J60. Zbl 05966335 . Published: OCT 2011
MR2842966 Adams, Stefan; Dirr, Nicolas; Peletier, Mark A.; Zimmer, Johannes From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Comm. Math. Phys. 307 (2011), no. 3, 791–815. (Reviewer: Boualem Djehiche) 60K35 (60F10). Zbl 05977587 . Published: NOV 2011
MR2838101 Sturm, Karl-Theodor Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions. Bull. Sci. Math. 135 (2011), no. 6-7, 795–802. 60B05 (46E30). Zbl 05970569 . Published: SEP-NOV 2011
MR2812740 Kreitmeier, Wolfgang Optimal vector quantization in terms of Wasserstein distance. J. Multivariate Anal. 102 (2011), no. 8, 1225–1239. 60E05 (60B05 62E17 68P30 94A17 94A29). Zbl 05918992. Zbl 05918992 . Published: SEP 2011
MR3076882 Selinger, Christian Zeta function regularized Laplacian on the smooth Wasserstein space above the unit circle. Theory Stoch. Process. 17 (2011), no. 1, 109–118. (Reviewer: Benoît Kloeckner) 58E10 (28A33 46E27 58J05)
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MR3098634 Santambrogio, Filippo Gradient flows in Wasserstein spaces and applications to crowd movement. Seminaire: Equations aux Dérivées Partielles. 2009–2010, Exp. No. XXVII, 16 pp., Sémin. Équ. Dériv. Partielles, École Polytech., Palaiseau, 2012. 49Q20 (35F15 35Q84)
MR2949241 Takatsu, Asuka; Yokota, Takumi Cone structure of L2-Wasserstein spaces. J. Topol. Anal. 4 (2012), no. 2, 237–253. 58Bxx (28A33 53Cxx)
MR2994677 Gigli, Nicola; Ohta, Shin-Ichi; First Variation Formula in Wasserstein Spaces over Compact Alexandrov Spaces. Canad. Math. Bull. 55 (2012), no. 4, 723–735. pdf
MR2964689 Bolley, François; Gentil, Ivan; Guillin, Arnaud; Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations. J. Funct. Anal. 263 (2012), no. 8, 2430–2457. Arxiv preprint arXiv:1110.3606, 2011 - arxiv.org
MR2921976 Komorowski, Tomasz; Walczuk, Anna Central limit theorem for Markov processes with spectral gap in the Wasserstein metric. Stochastic Process. Appl. 122 (2012), no. 5, 2155–2184. 60J25 (60B12 60F05 60J35). Published: MAY 2012
MR2921215 Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. J. Differential Equations 253 (2012), no. 2, 814–850. 35K35 (35A15)
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MR2915328 Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Calc. Var. Partial Differential Equations 44 (2012), no. 3-4, 419–454. 35Q84 (35B25 49S05 70F40 70G75). Published: JUL 2012
MR2901195 Takatsu, Asuka Wasserstein geometry of porous medium equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 2, 217–232. 35K57 (28A75 35C06 46E27 60D05). Published: MAR-APR 2012
MR2900478 Chodosh, Otis A lack of Ricci bounds for the entropic measure on Wasserstein space over the interval. J. Funct. Anal. 262 (2012), no. 10, 4570–4581. 53Cxx (58Dxx 60B05)
MR2887832 Agueh, Martial Finsler structure in the p-Wasserstein space and gradient flows. C. R. Math. Acad. Sci. Paris 350 (2012), no. 1-2, 35–40. (Reviewer: Benoît Kloeckner) 49Q20 (53C60 58B20)/ Published: JAN 2012
MR2949240 Kloeckner, Benoît A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserstein spaces. J. Topol. Anal. 4 (2012), no. 2, 203–235. 58Dxx (28A78 60B05)
MR3021775 Bertrand, Jérôme; Kloeckner, Benoît A geometric study of Wasserstein spaces: Hadamard spaces. J. Topol. Anal. 4 (2012), no. 4, 515–542. 53C21 (28A33 49Q20)
Wasserstein in title from Math. Reviews 2013 17 items
MR3380344 Stannat, Wilhelm Two remarks on the Wasserstein Dirichlet form. Seminar on Stochastic Analysis, Random Fields and Applications VII, 235–255, Progr. Probab., 67, Birkhäuser/Springer, Basel, 2013. (Reviewer: Ming Liao) 60J60 (31C25 58J65)
Series Chapter 1 Citation
MR3220453 Kuwada, Kazumasa Gradient estimate for Markov kernels, Wasserstein control and Hopf-Lax formula. Potential theory and its related fields, 61–80, RIMS Kôkyûroku Bessatsu, B43, Res. Inst. Math. Sci. (RIMS), Kyoto, 2013. (Reviewer: Jing Wang) 60J35 (39B62 49N15 53C17 60B10 70H20)
Series Chapter 2 Citations
MR3189324 Dedecker, Jérôme; Michel, Bertrand Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension. J. Multivariate Anal. 122 (2013), 278–291. (Reviewer: Zailong Wang) 62G05 (62C20)
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MR3182684 Duong, Manh Hong; Laschos, Vaios; Renger, Michiel Wasserstein gradient flows from large deviations of many-particle limits. ESAIM Control Optim. Calc. Var. 19 (2013), no. 4, 1166–1188. 35Q84 (35A15)Journal Article 14 Citations
MR3126088 Caillerie, Claire; Chazal, Frédéric; Dedecker, Jérôme; Michel, Bertrand Deconvolution for the Wasserstein metric and geometric inference. Geometric science of information, 561–568, Lecture Notes in Comput. Sci., 8085, Springer, Heidelberg, 2013. 94A17 (53C23)
MR3126071 Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane A primal-dual approach for a total variation Wasserstein flow. Geometric science of information, 413–421, Lecture Notes in Comput. Sci., 8085, Springer, Heidelberg, 2013. 35K30 (35K59 49Q20)
MR3126070 Bertrand, Jérôme; Kloeckner, Benoît R. A geometric study of Wasserstein spaces: an addendum on the boundary. Geometric science of information, 405–412, Lecture Notes in Comput. Sci., 8085, Springer, Heidelberg, 2013. (Reviewer: Tetsu Toyoda) 53C23 (28A33 49Q20)
MR3092749 Takatsu, Asuka Behaviors of
φ-exponential distributions in Wasserstein geometry and an evolution equation. SIAM J. Math. Anal. 45 (2013), no. 4, 2546–2556. 60E05 (60B05 60D99)Journal Article 2 Citations
MR3091990 Indexed He, Daojiang; Xu, Xingzhong; Zhao, Jianxin A new procedure for testing normality based on the
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MR3071256 Agredo, Julián A Wasserstein-type distance to measure deviation from equilibrium of quantum Markov semigroups. Open Syst. Inf. Dyn. 20 (2013), no. 2, 1350009, 20 pp. (Reviewer: Robert Olkiewicz) 46L35 (47D07 81P45 81R05 81R10 81R15)Journal Article 3 Citations
MR3048643 Agueh, Martial; Bowles, Malcolm One-dimensional numerical algorithms for gradient flows in the
p-Wasserstein spaces. Acta Appl. Math. 125 (2013), 121–134. (Reviewer: Ercília Sousa) 65M06 (35K61)Journal Article 4 Citations
MR3044136 Gigli, Nicola; Otto, Felix Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric. Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 181–206. (Reviewer: Adrian Muntean) 76S05 (35Q35 49Q20)Journal Article 6 Citations
MR3039437 Schmitzer, Bernhard; Schnörr, Christoph Modelling convex shape priors and matching based on the Gromov-Wasserstein distance. J. Math. Imaging Vision 46 (2013), no. 1, 143–159. 68U10 (94A08)
MR3029241 Piccoli, Benedetto; Rossi, Francesco Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes. Acta Appl. Math. 124 (2013), 73–105. 35F25
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MR3024100 Bassetti, Federico; Perversi, Eleonora Speed of convergence to equilibrium in Wasserstein metrics for Kac-like kinetic equations. Electron. J. Probab. 18 (2013), no. 6, 35 pp. (Reviewer: Nicolas Fournier) 60B10 (60F05 82C40)
MR3017033 Kim, Hwa Kil Moreau-Yosida approximation and convergence of Hamiltonian systems on Wasserstein space. J. Differential Equations 254 (2013), no. 7, 2861–2876. 37Jxx (34D20)
MR2983027 Lipman, Y.; Puente, J.; Daubechies, I. Conformal Wasserstein distance: II. Computational aspects and extensions. Math. Comp. 82 (2013), no. 281, 331–381. (Reviewer: Krzysztof Gdawiec) 65D18 (68U05)
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MR3331178 Carrillo, José Antonio; Choi, Young-Pil; Hauray, Maxime The derivation of swarming models: mean-field limit and Wasserstein distances. Collective dynamics from bacteria to crowds, 1–46, CISM Courses and Lectures, 553, Springer, Vienna, 2014. 82C22 (35Q82)
MR3295393 Thesis Craig, Katy; The exponential formula for the Wasserstein metric. Thesis (Ph.D.)–Rutgers The State University of New Jersey - New Brunswick. 2014. 80 pp. ISBN: 978-1321-29355-5, ProQuest LLC
MR3248053 Carlen, Eric A.; Maas, Jan; An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy. Comm. Math. Phys. 331 (2014), no. 3, 887–926.. Zbl 06341594
MR3189084 Boissard, Emmanuel; Le Gouic, Thibaut; On the mean speed of convergence of empirical and occupation measures in Wasserstein distance. Ann. Inst. Henri Poincaré Probab. Stat. 50 (2014), no. 2, 539–563. Zbl 1294.60005
MR3178490 Butkovsky, Oleg; Subgeometric rates of convergence of Markov processes in the Wasserstein metric. Ann. Appl. Probab. 24 (2014), no. 2, 526–552. Zbl 06291798
MR3206999 Bourne, D. P.; Peletier, M. A.; Theil, F. Optimality of the triangular lattice for a particle system with Wasserstein interaction. Comm. Math. Phys. 329 (2014), no. 1, 117–140. 82D25 (82D60)
MR3192034 Cavalletti, Fabio Decomposition of geodesics in the Wasserstein space and the globalization problem. Geom. Funct. Anal. 24 (2014), no. 2, 493–551. 53C23 (53C22)
MR3182620 Indexed Qiao, Motong; Wang, Wei; Ng, Michael Multi-phase texture segmentation using Gabor features histograms based on Wasserstein distance. Commun. Comput. Phys. 15 (2014), no. 5, 1480–1500. 94A08 (68U10)
MR3187785 Engquist, Björn; Froese, Brittany D. Application of the Wasserstein metric to seismic signals. Commun. Math. Sci. 12 (2014), no. 5, 979–988. 86A15 (62P35 65K99 94A12)
MR3182483 Piccoli, Benedetto; Rossi, Francesco Generalized Wasserstein distance and its application to transport equations with source. Arch. Ration. Mech. Anal. 211 (2014), no. 1, 335–358. 49Q20 (28Dxx 35F25). Zbl 06260964
MR3158572 Gangbo, Wilfrid; Tudorascu, Adrian Weak KAM theory on the Wasserstein torus with multidimensional underlying space. Comm. Pure Appl. Math. 67 (2014), no. 3, 408–463. 58D19 (37J40)
MR3121635 Savaré, Giuseppe Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,∞)
metric measure spaces. Discrete Contin. Dyn. Syst. 34 (2014), no. 4, 1641–1661. 49Q20
MR3257364 Ding, Ying; Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities. Statist. Probab. Lett. 94 (2014), 77–85.
MR3250977 Bolley, François; Carrillo, José A.; Nonlinear Diffusion: Geodesic Convexity is Equivalent to Wasserstein Contraction. Comm. Partial Differential Equations 39 (2014), no. 10, 1860–1869.
MR3205035 Sturm, Karl-Theodorg A monotone approximation to the Wasserstein diffusion. Singular phenomena and scaling in mathematical models, 25–48, Springer, Cham, 2014. 60J60
end 2014
start 2016
Wasserstein in title from Math. Reviews 2015 33 items
MR3535537 Ma, Ming; Lei, Na; Su, Kehua; Zhang, Junwei; Wen, Chengfeng; Cui, Li; Fan, Xin; Gu, Xianfeng Surface-based shape classification using Wasserstein distance. Geom. Imaging Comput. 2 (2015), no. 4, 237–255. 49Q20 (53A05 68T10 68U05)
MR3442190 Le Gouic, Thibaut; Loubes, Jean-Michel Barycenter in Wasserstein spaces: existence and consistency. Geometric science of information, 104–108, Lecture Notes in Comput. Sci., 9389, Springer, Cham, 2015. (Reviewer: Sławomir Kolasiński) 60B05 (49Q20 60B10 62H11 94A15)
MR3453299 Döbler, Christian New Berry-Esseen and Wasserstein bounds in the CLT for non-randomly centered random sums by probabilistic methods. ALEA Lat. Am. J. Probab. Math. Stat. 12 (2015), no. 2, 863–902. (Reviewer: N. C. Weber) 60F05 (60G50)
MR3436238 Amsaad, Mohamed; Tudorascu, Adrian On the Lagrangian description of absolutely continuous curves in the Wasserstein space on the line; well-posedness for the continuity equation. Indiana Univ. Math. J. 64 (2015), no. 6, 1835–1877. (Reviewer: Alpár Richárd Mészáros) 35L65 (35B30 35F20 37C10 37J99 49Q20 60A10)
MR3434297 Fraser, Jonathan M. First and second moments for self-similar couplings and Wasserstein distances. Math. Nachr. 288 (2015), no. 17-18, 2028–2041. (Reviewer: Balázs Bárány) 28A33 (28A80 42A85 60B05)
MR3434206 Erbar, Matthias; Maas, Jan; Renger, D. R. Michiel From large deviations to Wasserstein gradient flows in multiple dimensions. Electron. Commun. Probab. 20 (2015), no. 89, 12 pp. 60F10 (35A15 35B27 35Q84 35R60 60B10)
MR3424906 Kloeckner, Benoît R.; Lopes, Artur O.; Stadlbauer, Manuel Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps. Nonlinearity 28 (2015), no. 11, 4117–4137. (Reviewer: Diogo Pinheiro) 37A50 (49K45 49Q10)
MR3423268 Carlier, Guillaume(F-PARIS9-A); Oberman, Adam(3-MGL); Oudet, Edouard(F-GREN-LJK)
Numerical methods for matching for teams and Wasserstein barycenters. (English summary)
ESAIM Math. Model. Numer. Anal. 49 (2015), no. 6, 1621–1642. 90C05 (49M29 49Q20)
MR3413589 Pending Peyré, Gabriel Entropic approximation of Wasserstein gradient flows. SIAM J. Imaging Sci. 8 (2015), no. 4, 2323–2351. 94A08 (49Q20 68U10 90C25 90C48)
MR3399536 Pending Jin, Chunyin Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space. Nonlinear Anal. 128 (2015), 412–422. 35Q31 (35B30 35L45 76N10)
MR3385156 Kuwada, Kazumasa; Space-time Wasserstein controls and Bakry–Ledoux type gradient estimates. Calc. Var. Partial Differential Equations 54 (2015), no. 1, 127–161.
MR3383341 Fournier, Nicolas; Guillin, Arnaud; On the rate of convergence in Wasserstein distance of the empirical measure. Probab. Theory Related Fields 162 (2015), no. 3-4, 707–738.
MR3377899 Wu, Zong-min; Tian, Zheng; Distribution function estimates by Wasserstein metric and Bernstein approximation for C−1 functions. Appl. Math. J. Chinese Univ. Ser. B 30 (2015), no. 2, 141–150.
MR3356496 Pending Disser, Karoline; Liero, Matthias On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Netw. Heterog. Media 10 (2015), no. 2, 233–253. 35K10 (35K20 35Q84 37L05 49Q20 60J27 65M08)
MR3352761 Hynd, Ryan; Kim, Hwa Kil Value functions in the Wasserstein spaces: finite time horizons. J. Funct. Anal. 269 (2015), no. 4, 968–997. (Reviewer: Luca Granieri) 49Q20 (35D40 35F25 49L25)
MR3342407 Pending Cacciafesta, Federico; de Suzzoni, Anne-Sophie Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure. J. Differential Equations 259 (2015), no. 3, 1024–1067. 35Q53
MR3345406 Schmitzer, Bernhard; Schnörr, Christoph Globally optimal joint image segmentation and shape matching based on Wasserstein modes. J. Math. Imaging Vision 52 (2015), no. 3, 436–458. 94A08
MR3339225 Pending Gentil, Ivan Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold. Potential Anal. 42 (2015), no. 4, 861–873. 58J65 (53B21 58J35)
MR3338654 Barbour, A. D.; Gan, H. L.; Xia, A. Stein factors for negative binomial approximation in Wasserstein distance. Bernoulli 21 (2015), no. 2, 1002–1013. (Reviewer: Fraser Alexander Daly) 60E05 (62E10 62P10)
MR3338645 Pending Boissard, Emmanuel; Le Gouic, Thibaut; Loubes, Jean-Michel Distribution's template estimate with Wasserstein metrics. Bernoulli 21 (2015), no. 2, 740–759. 60A10 (60E05)
MR3325471 Pending Duong, Manh Hong Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation. Asymptot. Anal. 92 (2015), no. 1-2, 85–106. 35K57 (35B27 35K15 49J45)
MR3333967 Pending Kloeckner, Benoît R. A geometric study of Wasserstein spaces: ultrametrics. Mathematika 61 (2015), no. 1, 162–178. 30L05 (37F35 49Q20)
MR3317894 Irpino, Antonio; Verde, Rosanna Linear regression for numeric symbolic variables: a least squares approach based on Wasserstein distance. Adv. Data Anal. Classif. 9 (2015), no. 1, 81–106. 62J05 (46F10 62G30)
MR3314482 Pending Dedecker, Jérôme; Fischer, Aurélie; Michel, Bertrand Improved rates for Wasserstein deconvolution with ordinary smooth error in dimension one. Electron. J. Stat. 9 (2015), 234–265. 62G05 (62C20)
MR3304898 Pending Durmus, Alain; Moulines, Éric Quantitative bounds of convergence for geometrically ergodic Markov chain in the Wasserstein distance with application to the Metropolis adjusted Langevin algorithm. Stat. Comput. 25 (2015), no. 1, 5–19. 60J99 (62M05)
MR3304897 Indexed Haario, Heikki Introduction to "Quantitative bounds of convergence for geometrically ergodic Markov chain in the Wasserstein distance with application to the Metropolis adjusted Langevin algorithm'' by A. Durmus, É. Moulines [MR3304898]. Stat. Comput. 25 (2015), no. 1, 3. 60J99 (62M05)
MR3311904 Pending Kamalinejad, Ehsan On local well-posedness of the thin-film equation via the Wasserstein gradient flow. Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 547–564. 49Q20 (35B30 35K25 35K59 49J52 49K40 76A20)
MR3306430 Agulló-Antolín, Marina; Cuesta-Albertos, J. A.; Lescornel, Hélène; Loubes, Jean-Michel A parametric registration model for warped distributions with Wasserstein's distance. J. Multivariate Anal. 135 (2015), 117–130. 62H10 (62F10)
MR3300482 Bonneel, Nicolas; Rabin, Julien; Peyré, Gabriel; Pfister, Hanspeter Sliced and Radon Wasserstein barycenters of measures. J. Math. Imaging Vision 51 (2015), no. 1, 22–45. 94A08
MR3302526 Pending Hynd, Ryan; Kim, Hwa Kil Infinite horizon value functions in the Wasserstein spaces. J. Differential Equations 258 (2015), no. 6, 1933–1966. 49L20 (35D40 35F21)
MR3294365 Bowles, Malcolm; Agueh, Martial Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow. Appl. Math. Lett. 42 (2015), 30–35. 35R11 (35D30 35Q84 82C31)
MR3293301 Pending Shao, Jinghai Ergodicity of regime-switching diffusions in Wasserstein distances. Stochastic Process. Appl. 125 (2015), no. 2, 739–758. 60J60 (60B10 60J27)
MR3284787 Indexed Lee, Kooktae; Halder, Abhishek; Bhattacharya, Raktim Performance and robustness analysis of stochastic jump linear systems using Wasserstein metric. Automatica J. IFAC 51 (2015), 341–347. 93E03 (93B35)
end 2015
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Wasserstein in title from Math. Reviews 2016 21 items
MR3584627 Choi, Byoung Jin; Ji, Un Cig; Exponential convergence rates for weighted sums in noncommutative probability space. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19 (2016), no. 4, 1650027, 13 pp. Zbl 06645470
MR3573296 Durmus, Alain; Fort, Gersende; Moulines, Éric; Subgeometric rates of convergence in Wasserstein distance for Markov chains. Ann. Inst. Henri Poincaré Probab. Stat. 52 (2016), no. 4, 1799–1822.
MR3566931 Anderes, Ethan; Borgwardt, Steffen; Miller, Jacob; Discrete Wasserstein barycenters: optimal transport for discrete data. Math. Methods Oper. Res. 84 (2016), no. 2, 389–409.
MR3564778 Tartavel, Guillaume; Peyré, Gabriel; Gousseau, Yann; Wasserstein Loss for Image Synthesis and Restoration. SIAM J. Imaging Sci. 9 (2016), no. 4, 1726–1755.
MR3565819 Benamou, Jean-David; Carlier, Guillaume; Laborde, Maxime An augmented Lagrangian approach to Wasserstein gradient flows and applications. Gradient flows: from theory to application, 1–17, ESAIM Proc. Surveys, 54, EDP Sci., Les Ulis, 2016. 35K57 (35K15 35K59 35Q84)
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MR3565262 Mason, David M. A weighted approximation approach to the study of the empirical Wasserstein distance. High dimensional probability VII, 137–154, Progr. Probab., 71, Springer, [Cham], 2016. 60F17 (62E17 62E20)
MR3558359 Loibl, Daniel; Matthes, Daniel; Zinsl, Jonathan; Existence of Weak Solutions to a Class of Fourth Order Partial Differential Equations with Wasserstein Gradient Structure. Potential Anal. 45 (2016), no. 4, 755–776.
MR3551945 Jourdain, Benjamin; Reygner, Julien; A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data. J. Hyperbolic Differ. Equ. 13 (2016), no. 3, 441–602.
MR3545279 Rippl, Thomas; Munk, Axel; Sturm, Anja; Limit laws of the empirical Wasserstein distance: Gaussian distributions. J. Multivariate Anal. 151 (2016), 90–109.
MR3544329 Piccoli, Benedetto; Rossi, Francesco On properties of the generalized Wasserstein distance. Arch. Ration. Mech. Anal. 222 (2016), no. 3, 1339–1365. 49Q20 (60B10
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MR3531395 Azmoodeh, Ehsan; Peccati, Giovanni; Poly, Guillaume The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds. ALEA Lat. Am. J. Probab. Math. Stat. 13 (2016), no. 2, 659–686. 60G22 (60F05 60F15 60G15 60H07)
q-heat flow and the gradient flow of the Renyi entropy in the
p-Wasserstein space. J. Funct. Anal. 271 (2016), no. 8, 2045–2089. 58J35 (35K92 35R01 53C23)
MR3527938 Lisini, Stefano Absolutely continuous curves in extended Wasserstein-Orlicz spaces. ESAIM Control Optim. Calc. Var. 22 (2016), no. 3, 670–687. 49J27 (49Q20)
MR3515734 Polyanskiy, Yury; Wu, Yihong Wasserstein continuity of entropy and outer bounds for interference channels. IEEE Trans. Inform. Theory 62 (2016), no. 7, 3992–4002. 94A17
MR3509929 Bertrand, Jérôme; Kloeckner, Benoît R. A geometric study of Wasserstein spaces: isometric rigidity in negative curvature. Int. Math. Res. Not. IMRN 2016, no. 5, 1368–1386. 58C35 (28A33 53C21)
<-15
MR3491556 Álvarez-Esteban, Pedro C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C. A fixed-point approach to barycenters in Wasserstein space. J. Math. Anal. Appl. 441 (2016), no. 2, 744–762. (Reviewer: Mircea Petrache) 49Q20 (49Q15 60B10 62H11)
MR3489381 Craig, Katy The exponential formula for the Wasserstein metric. ESAIM Control Optim. Calc. Var. 22 (2016), no. 1, 169–187. 49Q20
MR3463787 Hauray, Maxime Uniform contractivity in Wasserstein metric for the original 1D Kac's model. J. Stat. Phys. 162 (2016), no. 6, 1566–1570. 82C40 (60J75 76P05)
Lp-Wasserstein distance for stochastic differential equations driven by Lévy processes. Bernoulli 22 (2016), no. 3, 1598–1616. (Reviewer: Ying Hui Dong) 60H10 (60J75)
MR3466197 Cuturi, Marco; Peyré, Gabriel A smoothed dual approach for variational Wasserstein problems. SIAM J. Imaging Sci. 9 (2016), no. 1, 320–343. 94A08 (49Q20 65C50 68U10 90C08 90C25)
<-20
MR3451384 Azzam, Jonas; David, Guy; Toro, Tatiana Wasserstein distance and the rectifiability of doubling measures: part I. Math. Ann. 364 (2016), no. 1-2, 151–224. (Reviewer: Matthew Badger) 28A75 (28A12)
<-21 —end 2016 Wasserstein
Wasserstein in title from Math. Reviews start 2017
37 items
MR3764530 Pending Bhattacharya, Anirban; Pati, Debdeep Posterior contraction in Gaussian process regression using Wasserstein approximations. Inf. Inference 6 (2017), no. 4, 416–440. 62F15 (60G15 94A15)
Journal Article
MR3737719 Karakida, Ryo; Amari, Shun-ichi Information geometry of Wasserstein divergence. Geometric science of information, 119–126, Lecture Notes in Comput. Sci., 10589, Springer, Cham, 2017. 94A17
Series Chapter
MR3737716 Conforti, Giovanni; Pavon, Michele Extremal curves in Wasserstein space. Geometric science of information, 91–99, Lecture Notes in Comput. Sci., 10589, Springer, Cham, 2017. (Reviewer: Vassili N. Kolokolʹtsov) 58E30 (49Q20 76Y05 94A08)
Series Chapter 1 Citation
MR3737715 Cazelles, Elsa; Bigot, Jérémie; Papadakis, Nicolas Regularized barycenters in the Wasserstein space. Geometric science of information, 83–90, Lecture Notes in Comput. Sci., 10589, Springer, Cham, 2017. 62G99 (60B10 60G57 94A17)
Series Chapter 1 Citation
MR3733412 Agredo, J.; Fagnola, F. On quantum versions of the classical Wasserstein distance. Stochastics 89 (2017), no. 6-7, 910–922. (Reviewer: Horacio Grinberg) 81S20 (49Q20)
Journal Article
MR3729384 Al Reda, F.; Maury, B. Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance. Topological optimization and optimal transport, 400–416, Radon Ser. Comput. Appl. Math., 17, De Gruyter, Berlin, 2017. 60J60 (35K08 35Q84 60B10 60J27 65M08 94C15)
MR3729381 Laborde, Maxime On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows. Topological optimization and optimal transport, 304–332, Radon Ser. Comput. Appl. Math., 17, De Gruyter, Berlin, 2017. 35K45 (35K59 49J40)
Series Chapter 2 Citations
MR3717960 Lott, John An intrinsic parallel transport in Wasserstein space. Proc. Amer. Math. Soc. 145 (2017), no. 12, 5329–5340. (Reviewer: Martin Kell) 58B20 (51K10 58J99)
Journal Article
MR3715379 Mora, Maria Giovanna; Peletier, Mark A.; Scardia, Lucia Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement. SIAM J. Math. Anal. 49 (2017), no. 5, 4149–4205. (Reviewer: Marc Oliver Rieger) 49J45 (70G75 74C05 94A08)
Journal Article 3 Citations
MR3695901 Hiai, Fumio; Lim, Yongdo Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices. Linear Algebra Appl. 533 (2017), 118–131. (Reviewer: Sanne ter Horst) 47L07 (15A42 15B48 47A64 47B65)
Journal Article 2 Citations
MR3693149 Jiang, Yin Absolute continuity of Wasserstein barycenters over Alexandrov spaces. Canad. J. Math. 69 (2017), no. 5, 1087–1108. (Reviewer: Bożena Piątek) 53C45 (49K30 51K05)
Journal Article
MR3682182 Kang, Kyungkeun; Kim, Hwa Kil Existence of weak solutions in Wasserstein space for a chemotaxis model coupled to fluid equations. SIAM J. Math. Anal. 49 (2017), no. 4, 2965–3004. 92B05 (35K55 35Q35 35Q84)
Journal Article
MR3673057 Agueh, Martial; Carlier, Guillaume Vers un théorème de la limite centrale dans l'espace de Wasserstein? (French) [Towards a central limit theorem in the Wasserstein space?] C. R. Math. Acad. Sci. Paris 355 (2017), no. 7, 812–818. 60F05 (28A33)
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MR3671564 Azzam, Jonas; David, Guy; Toro, Tatiana Wasserstein distance and the rectifiability of doubling measures: part II. Math. Z. 286 (2017), no. 3-4, 861–891. 28A75 (28A12)
Journal Article 1 Citation
MR3663634 Le Gouic, Thibaut; Loubes, Jean-Michel Existence and consistency of Wasserstein barycenters. Probab. Theory Related Fields 168 (2017), no. 3-4, 901–917. 60D05 (62G20 62H10)
Journal Article 4 Citations
MR3653077 Craig, Katy Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions. Proc. Lond. Math. Soc. (3) 114 (2017), no. 1, 60–102. (Reviewer: Christopher P. Grant) 35Q82 (35A15 35B30 35K55 35Q92 47J25)
Journal Article 3 Citations
MR3647070 Li, Xinpeng; Lin, Yiqing Generalized Wasserstein distance and weak convergence of sublinear expectations. J. Theoret. Probab. 30 (2017), no. 2, 581–593. (Reviewer: Hong Zhang) 60A10 (60B10)
Journal Article
MR3640545 Zinsl, Jonathan The gradient flow of a generalized Fisher information functional with respect to modified Wasserstein distances. Discrete Contin. Dyn. Syst. Ser. S 10 (2017), no. 4, 919–933. 35K35 (35A15 35D30)
Journal Article 1 Citation
MR3637959 Lott, John On tangent cones in Wasserstein space. Proc. Amer. Math. Soc. 145 (2017), no. 7, 3127–3136. (Reviewer: Baris Coskunuzer) 49Q20 (51K99 53C23)
Journal Article 3 Citations
MR3631386 Lai, Rongjie; Zhao, Hongkai Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. SIAM J. Imaging Sci. 10 (2017), no. 2, 449–483. 94A08 (58J50 65N25 68U05)
Journal Article 2 Citations
MR3631299 Han-Kwan, Daniel; Iacobelli, Mikaela Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in higher dimension. J. Differential Equations 263 (2017), no. 1, 1–25. 35Q83 (35B25 35B35)
Journal Article 2 Citations
MR3630091 Kell, Martin On interpolation and curvature via Wasserstein geodesics. Adv. Calc. Var. 10 (2017), no. 2, 125–167. (Reviewer: Valeri Obukhovskiĭ) 58E35 (28C15)
Journal Article 5 Citations
MR3625852 Santambrogio, Filippo {Euclidean, metric, and Wasserstein} gradient flows: an overview. Bull. Math. Sci. 7 (2017), no. 1, 87–154. (Reviewer: Benoît Kloeckner) 34G25 (35Q84 49J45 49M29 49Q20)
Journal Article 4 Citations
MR3624887 Dedecker, Jérôme; Merlevède, Florence Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary
α
-dependent sequences. Bernoulli 23 (2017), no. 3, 2083–2127. (Reviewer: Xinxin Jiang) 60B10 (60F05 60F17 60G10)
Journal Article 1 Citation
MR3621265 Legendre, Guillaume; Turinici, Gabriel Second-order in time schemes for gradient flows in Wasserstein and geodesic metric spaces. C. R. Math. Acad. Sci. Paris 355 (2017), no. 3, 345–353. 65M99
Journal Article 2 Citations
MR3620566 Han-Kwan, Daniel; Iacobelli, Mikaela The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric. Commun. Math. Sci. 15 (2017), no. 2, 481–509. (Reviewer: Juhi Jang) 35Q83 (35B35)
Journal Article 4 Citations
MR3620352 Ye, Jianbo; Wu, Panruo; Wang, James Z.; Li, Jia Fast discrete distribution clustering using Wasserstein barycenter with sparse support. IEEE Trans. Signal Process. 65 (2017), no. 9, 2317–2332. 94A12
Journal Article 1 Citation
MR3608466 Ramdas, Aaditya; García Trillos, Nicolás; Cuturi, Marco On Wasserstein two-sample testing and related families of nonparametric tests. Entropy 19 (2017), no. 2, Paper No. 47, 15 pp. (Reviewer: Marco Marozzi) 62G10
Journal Article 1 Citation
MR3606732 Bigot, Jérémie; Gouet, Raúl; Klein, Thierry; López, Alfredo Geodesic PCA in the Wasserstein space by convex PCA. Ann. Inst. Henri Poincaré Probab. Stat. 53 (2017), no. 1, 1–26. 62G05 (60B10 62G20 62H25)
Journal Article 3 Citations
MR3606415 Barbu, Viorel The steepest descent algorithm in Wasserstein metric for the sandpile model of self-organized criticality. SIAM J. Control Optim. 55 (2017), no. 1, 413–428. (Reviewer: Koji Kikuchi) 35K59 (35A15 35K15 35R70 60J60)
Journal Article 1 Citation
MR3601616 Berckmoes, Ben; Hellemans, Tim; Sioen, Mark; Van Casteren, Jan An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric. J. Math. Anal. Appl. 449 (2017), no. 2, 1770–1789. (Reviewer: Mona Khare) 54B30 (54E05)
Journal Article 1 Citation
MR3601019 Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. ESAIM Control Optim. Calc. Var. 23 (2017), no. 1, 137–164. (Reviewer: Juha K. Kinnunen) 35M31 (35K65 47J30)
Journal Article 3 Citations
MR3598633 Xiang, Jim X. Sample size determination of a nonparametric test based on weighted
L2-Wasserstein distance. Statist. Probab. Lett. 123 (2017), 160–164. 62G10 (62G20)
Journal Article
MR3595479 Carfora, Mauro The Wasserstein geometry of nonlinear
σ models and the Hamilton-Perelman Ricci flow. Rev. Math. Phys. 29 (2017), no. 1, 1750001, 71 pp. (Reviewer: Fumihiko Sugino) 53C44 (58D25 58D30 81T17)
Journal Article
MR3590527 Kim, Young-Heon; Pass, Brendan Wasserstein barycenters over Riemannian manifolds. Adv. Math. 307 (2017), 640–683. 60B05 (49Q20 58C35 60G30)
Journal Article 6 Citations
—-emd 2017
Wasserstein in title from Math. Reviews start 2018
45 items
MR3993926 Malagò, Luigi; Montrucchio, Luigi; Pistone, Giovanni Wasserstein Riemannian geometry of Gaussian densities. Inf. Geom. 1 (2018), no. 2, 137–179. 62B99 (15B48 53B05 60D05)
MR3974671 Amari, Shun-ichi; Karakida, Ryo; Oizumi, Masafumi Information geometry connecting Wasserstein distance and Kullback-Leibler divergence via the entropy-relaxed transportation problem. Inf. Geom. 1 (2018), no. 1, 13–37. 62B99 (49Q20 58D17 60A10 62B10)
MR3922440 Peyre, Rémi Comparison between
W2 distance and H˙−1 norm, and localization of Wasserstein distance. ESAIM Control Optim. Calc. Var. 24 (2018), no. 4, 1489–1501. (Reviewer: Luca Granieri) 49Q20 (28A75 46E35)
MR3922439 Agueh, Martial; Carlier, Guillaume; Igbida, Noureddine On the minimizing movement with the 1-Wasserstein distance. ESAIM Control Optim. Calc. Var. 24 (2018), no. 4, 1415–1427. 35K59 (35D30 49N15)
MR3902631 Kaňková, Vlasta; Omelčenko, Vadim Stochastic optimization problems with second order stochastic dominance constraints via Wasserstein metric. Kybernetika (Prague) 54 (2018), no. 6, 1231–1246. 90C15 (60A10 60E15)
MR3898849 Carlsson, John Gunnar; Behroozi, Mehdi; Mihic, Kresimir Wasserstein distance and the distributionally robust TSP. Oper. Res. 66 (2018), no. 6, 1603–1624. 90C10 (90C47)
MR3896861 Marx, Victor A new approach for the construction of a Wasserstein diffusion. Electron. J. Probab. 23 (2018), Paper No. 124, 54 pp. 60K35 (60B12 60G44 60J60)
MR3892429 Pending Solem, Susanne Convergence rates of the front tracking method for conservation laws in the Wasserstein distances. SIAM J. Numer. Anal. 56 (2018), no. 6, 3648–3666. 65M08 (35L45 35L65 65M12)
MR3890870 Li, Jia; Zhang, Fuqing Geometry-sensitive ensemble mean based on Wasserstein barycenters: proof-of-concept on cloud simulations. J. Comput. Graph. Statist. 27 (2018), no. 4, 785–797. 62H30
MR3876126 Belavkin, Roman V. Relation between the Kantorovich-Wasserstein metric and the Kullback-Leibler divergence. Information geometry and its applications, 363–373, Springer Proc. Math. Stat., 252, Springer, Cham, 2018. 60B05 (28A33 49Q20 62B10)
MR3872127 Bigot, Jérémie; Klein, Thierry Characterization of barycenters in the Wasserstein space by averaging optimal transport maps. ESAIM Probab. Stat. 22 (2018), 35–57. 62G05 (49Q20)
MR3864245 Arbenz, Philipp; Guevara-Alarcón, William Piecewise linear approximation of empirical distributions under a Wasserstein distance constraint. J. Stat. Comput. Simul. 88 (2018), no. 16, 3193–3216. 62E17 (60B10)
-10 2018
MR3862415 Srivastava, Sanvesh; Li, Cheng; Dunson, David B. Scalable Bayes via barycenter in Wasserstein space. J. Mach. Learn. Res. 19 (2018), Paper No. 8, 35 pp. 62F15 (28A33 62L20)
MR3859534 Tong, Jinying; Jin, Xinghu; Zhang, Zhenzhong Exponential ergodicity for SDEs driven by
α-stable processes with Markovian switching in Wasserstein distances. Potential Anal. 49 (2018), no. 4, 503–526. 60G52 (60H10 60J27 60J75)
MR3858004 Mardare, Radu; Panangaden, Prakash; Plotkin, Gordon D. Free complete Wasserstein algebras. Log. Methods Comput. Sci. 14 (2018), no. 3, Paper No. 19, 16 pp. 68Q55 (06B30 28A33 28A60 60B05)
MR3854402 Flamary, Rémi; Cuturi, Marco; Courty, Nicolas; Rakotomamonjy, Alain Wasserstein discriminant analysis. Mach. Learn. 107 (2018), no. 12, 1923–1945. 62H30 (60A10)
MR3854142 Chen, Jing; Chen, Yifan; Wu, Hao; Yang, Dinghui The quadratic Wasserstein metric for earthquake location. J. Comput. Phys. 373 (2018), 188–209. (Reviewer: T. C. Mohan) 86A15
MR3846693 Indexed Majewski, Szymon; Ciach, Michał Aleksander; Startek, Michał; Niemyska, Wanda; Miasojedow, Błażej; Gambin, Anna The Wasserstein distance as a dissimilarity measure for mass spectra with application to spectral deconvolution. 18th International Workshop on Algorithms in Bioinformatics, Art. No. 25, 21 pp., LIPIcs. Leibniz Int. Proc. Inform., 113, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018. 92E10
MR3844536 Mohajerin Esfahani, Peyman; Kuhn, Daniel Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations. Math. Program. 171 (2018), no. 1-2, Ser. A, 115–166. (Reviewer: Yong Zhao) 90C15 (90C25 90C47)
MR3833742 Li, Songzi; Li, Xiang-Dong
W-entropy formulas on super Ricci flows and Langevin deformation on Wasserstein space over Riemannian manifolds. Sci. China Math. 61 (2018), no. 8, 1385–1406. (Reviewer: Hélène Airault) 58J65 (58J35 60H30 60J60)
MR3833470 Mariucci, Ester; Reiß, Markus Wasserstein and total variation distance between marginals of Lévy processes. Electron. J. Stat. 12 (2018), no. 2, 2482–2514. 60G51 (60B10 60E07 62M99)
MR3831034 Andoni, Alexandr; Naor, Assaf; Neiman, Ofer Snowflake universality of Wasserstein spaces. Ann. Sci. Éc. Norm. Supér. (4) 51 (2018), no. 3, 657–700. 28A33 (30L05 51F99 53C23)
-20 2018
MR3830834 Bigot, Jérémie; Gouet, Raúl; Klein, Thierry; López, Alfredo Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line. Electron. J. Stat. 12 (2018), no. 2, 2253–2289. (Reviewer: Paulo E. Oliveira) 62G05 (60G57 62G07 62G20)
MR3827815 Kashlak, Adam B. Measuring distributional asymmetry with Wasserstein distance and Rademacher symmetrization. Electron. J. Stat. 12 (2018), no. 2, 2091–2113. 60E05 (62G15)
MR3826859 Hanasusanto, Grani A.; Kuhn, Daniel Conic programming reformulations to two-stage distributionally robust linear programs over Wasserstein balls. Oper. Res. 66 (2018), no. 3, 849–869. 90C15
MR3820505 Zolotov, Vladimir Markov type constants, flat tori and Wasserstein spaces. Geom. Dedicata 195 (2018), 249–263. (Reviewer: Erwan Hillion) 53C45 (51F99)
MR3815150 Dietert, Helge; Evans, Josephine; Holding, Thomas Contraction in the Wasserstein metric for the kinetic Fokker-Planck equation on the torus. Kinet. Relat. Models 11 (2018), no. 6, 1427–1441. 60J60 (35Q84 60B10 60H30 82C31)
MR3808205 Conforti, Giovanni; Pavon, Michele Extremal flows in Wasserstein space. J. Math. Phys. 59 (2018), no. 6, 063502, 15 pp. 49Q20 (60J60 76Y05 94A17)
MR3807589 Bolley, François; Gentil, Ivan; Guillin, Arnaud; Kuwada, Kazumasa Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18 (2018), no. 3, 845–880. (Reviewer: Francesco Rossi) 58J65 (53B21 53C21 58J3
MR3807373 Scricciolo, Catia Bayes and maximum likelihood for
L1-Wasserstein deconvolution of Laplace mixtures. Stat. Methods Appl. 27 (2018), no. 2, 333–362. 62F15 (60B10 62G07)
MR3806895 Tugaut, Julian Convergence in Wasserstein distance for self-stabilizing diffusion evolving in a double-well landscape. C. R. Math. Acad. Sci. Paris 356 (2018), no. 6, 657–660. 35R60 (60H10 60J70)
MR3805843 Hühnerbein, Ruben; Savarino, Fabrizio; Åström, Freddie; Schnörr, Christoph Image labeling based on graphical models using Wasserstein messages and geometric assignment. SIAM J. Imaging Sci. 11 (2018), no. 2, 1317–1362. (Reviewer: Marian Mureşan) 94A08 (62H35 62M40 65K10 68U10)
-30 2018
MR3803713 Pending Berman, Robert J.; Önnheim, Magnus Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. Anal. PDE 11 (2018), no. 6, 1343–1380. 53D25 (53C55 82C22)
MR3795449 Trashorras, José Large deviations for a matching problem related to the
∞-Wasserstein distance. ALEA Lat. Am. J. Probab. Math. Stat. 15 (2018), no. 1, 247–278. 60F10 (60B05 60C05)
MR3787206 Briani, Maya; Cristiani, Emiliano; Iacomini, Elisa Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance. Commun. Math. Sci. 16 (2018), no. 1, 123–144. 35R02 (35L45 35L65 90B20 90Cxx)
MR3782397 Kim, Young-Heon; Pass, Brendan A canonical barycenter via Wasserstein regularization. SIAM J. Math. Anal. 50 (2018), no. 2, 1817–1828. 60B05 (31E05 49Q20 94A17)
MR3780753 Cazelles, Elsa; Seguy, Vivien; Bigot, Jérémie; Cuturi, Marco; Papadakis, Nicolas Geodesic PCA versus log-PCA of histograms in the Wasserstein space. SIAM J. Sci. Comput. 40 (2018), no. 2, B429–B456. 62-07 (62H25 68R10 86A30)
MR3779713 Álvarez-Esteban, Pedro C.; del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos Wide consensus aggregation in the Wasserstein space. Application to location-scatter families. Bernoulli 24 (2018), no. 4A, 3147–3179. 62G35 (60B10)
MR3779696 Rudolf, Daniel; Schweizer, Nikolaus Perturbation theory for Markov chains via Wasserstein distance. Bernoulli 24 (2018), no. 4A, 2610–2639. 60J05 (60B10 60J22 60J35)
MR3779692 Alfonsi, Aurélien; Corbetta, Jacopo; Jourdain, Benjamin Evolution of the Wasserstein distance between the marginals of two Markov processes. Bernoulli 24 (2018), no. 4A, 2461–2498. (Reviewer: Nikola Sandrić) 60J75 (49Q20 60B10)
MR3778062 Song, Shichang Type spaces and Wasserstein spaces. J. Korean Math. Soc. 55 (2018), no. 2, 447–469. 03C90 (60B10)
MR3771309 Zhao, Chaoyue; Guan, Yongpei Data-driven risk-averse stochastic optimization with Wasserstein metric. Oper. Res. Lett. 46 (2018), no. 2, 262–267. (Reviewer: Meng Wu) 90C15 (60B10)
-40 2018
MR3769700 Schmitz, Morgan A.; Heitz, Matthieu; Bonneel, Nicolas; Ngolè, Fred; Coeurjolly, David; Cuturi, Marco; Peyré, Gabriel; Starck, Jean-Luc Wasserstein dictionary learning: optimal transport-based unsupervised nonlinear dictionary learning. SIAM J. Imaging Sci. 11 (2018), no. 1, 643–678. 94A08 (49M99 90C08)
MR3753331 Chen, Yongxin; Georgiou, Tryphon T.; Tannenbaum, Allen Wasserstein geometry of quantum states and optimal transport of matrix-valued measures. Emerging applications of control and systems theory, 139–150, Lect. Notes Control Inf. Sci. Proc., Springer, Cham, 2018. (Reviewer: Mathieu Lewin) 81P50 (49Q20 81P15 81P45 81Q12)
MR3744719 Sommerfeld, Max; Munk, Axel Inference for empirical Wasserstein distances on finite spaces. J. R. Stat. Soc. Ser. B. Stat. Methodol. 80 (2018), no. 1, 219–238. 60B10 (62E20 62G09)
end 2018
Wasserstein in title from Math. Reviews start 2019
62 items
MR4045481 Prelim Rigollet, Philippe; Weed, Jonathan; Uncoupled isotonic regression via minimum Wasserstein deconvolution. Inf. Inference 8 (2019), no. 4, 691–717.
MR4045478 Prelim Chowdhury, Samir; Mémoli, Facundo; The Gromov–Wasserstein distance between networks and stable network invariants. Inf. Inference 8 (2019), no. 4, 757–787.
MR4045477 Prelim Bigot, Jérémie; Cazelles, Elsa; Papadakis, Nicolas; Data-driven regularization of Wasserstein barycenters with an application to multivariate density registration. Inf. Inference 8 (2019), no. 4, 719–755.
MR4041703 Prelim Verdinelli, Isabella; Wasserman, Larry; Hybrid Wasserstein distance and fast distribution clustering. Electron. J. Stat. 13 (2019), no. 2, 5088–5119. 62G99 (62H30)
MR4026616 Prelim Fang, Xiao; Shao, Qi-Man; Xu, Lihu Correction to: Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula. Probab. Theory Related Fields 175 (2019), no. 3-4, 1177–1181. 60F05 (60H07)
MR4019758 Pending Bonnet, Benoît A Pontryagin maximum principle in Wasserstein spaces for constrained optimal control problems. ESAIM Control Optim. Calc. Var. 25 (2019), Art. 52, 38 pp. 49K20 (49K27 49Q20 58E25)
MR4017682 Pending Benamou, Jean-David; Gallouët, Thomas O.; Vialard, François-Xavier Second-order models for optimal transport and cubic splines on the Wasserstein space. Found. Comput. Math. 19 (2019), no. 5, 1113–1143. 49Q20 (49M25 65D07)
MR4016722 Motamed, Mohammad; Appelö, Daniel Wasserstein metric-driven Bayesian inversion with applications to signal processing. Int. J. Uncertain. Quantif. 9 (2019), no. 4, 394–414. 62F15 (60B10 86A15 94A12)
MR4015639 Pending Blanchet, Jose; Kang, Yang; Murthy, Karthyek Robust Wasserstein profile inference and applications to machine learning. J. Appl. Probab. 56 (2019), no. 3, 830–857. 60B10 (62J05 62J07)
MR4013144 Yong, Peng; Liao, Wenyuan; Huang, Jianping; Li, Zhenchun; Lin, Yaoting Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation. J. Comput. Phys. 399 (2019), 108911, 19 pp. 65R32 (49Q20 86A15)
-10 2019
MR4009553 Pending Carlier, Guillaume; Poon, Clarice On the total variation Wasserstein gradient flow and the TV-JKO scheme. ESAIM Control Optim. Calc. Var. 25 (2019), Art. 42, 21 pp. 49Q20 (35K35 35K59 49N15)
MR4009333 Pending Liu, Anning; Liu, Jian-Guo; Lu, Yulong On the rate of convergence of empirical measure in
∞-Wasserstein distance for unbounded density function. Quart. Appl. Math. 77 (2019), no. 4, 811–829. 60B10 (62G30)
MR4003560 Pending Weed, Jonathan; Bach, Francis Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance. Bernoulli 25 (2019), no. 4A, 2620–2648. 60B10 (62G30)
MR4000104 Pending Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel On isometric embeddings of Wasserstein spaces—the discrete case. J. Math. Anal. Appl. 480 (2019), no. 2, 123435, 11 pp. 28A33 (60B05)
MR3996793 Chow, Yat Tin; Gangbo, Wilfrid A partial Laplacian as an infinitesimal generator on the Wasserstein space. J. Differential Equations 267 (2019), no. 10, 6065–6117. 60H30 (28A33 35C05 35K05 35K08 60J25)
MR3996643 Massart, Estelle; Hendrickx, Julien M.; Absil, P.-A. Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric. Geometric science of information, 739–748, Lecture Notes in Comput. Sci., 11712, Springer, Cham, 2019. 53B21 (15B48)
MR3996615 Minh, Hà Quang A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators. Geometric science of information, 475–483, Lecture Notes in Comput. Sci., 11712, Springer, Cham, 2019. 62H99 (15B48 60B05)
MR3995986 Pending Ruf, Adrian M.; Sande, Espen; Solem, Susanne The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance. J. Sci. Comput. 80 (2019), no. 3, 1764–1776. 65M08
MR3992484 Pending Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo On the Bures-Wasserstein distance between positive definite matrices. Expo. Math. 37 (2019), no. 2, 165–191. 47A63 (47A64 53C20 53C22 60B05 81P45)
MR3986362 Pending Schmitzer, Bernhard; Wirth, Benedikt Dynamic models of Wasserstein-1-type unbalanced transport. ESAIM Control Optim. Calc. Var. 25 (2019), Art. 23, 54 pp. 49Q20 (37N40 90C05)
MR3985566 Pending Privault, N.; Yam, S. C. P.; Zhang, Z. Poisson discretizations of Wiener functionals and Malliavin operators with Wasserstein estimates. Stochastic Process. Appl. 129 (2019), no. 9, 3376–3405. 60H07 (60F05)
MR3985558 Pending Luo, Dejun; Wang, Jian Refined basic couplings and Wasserstein-type distances for SDEs with Lévy noises. Stochastic Process. Appl. 129 (2019), no. 9, 3129–3173. 60J25 (60J75)
MR3980309 Pending Fang, Xiao; Shao, Qi-Man; Xu, Lihu Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula. Probab. Theory Related Fields 174 (2019), no. 3-4, 945–979. 60F05 (60H07)
MR3978211 Pending Olvera-Cravioto, Mariana Convergence of the population dynamics algorithm in the Wasserstein metric. Electron. J. Probab. 24 (2019), Paper No. 61, 27 pp. 65C05 (60J80)
MR3962587 Nobari, Elham; Ahmadi Kakavandi, Bijan Wasserstein barycenter in the manifold of all positive definite matrices. Quart. Appl. Math. 77 (2019), no. 3, 655–669. (Reviewer: Luca Lussardi) 49Q20 (49M25 58D20 90C25)
MR3959197 Pending Birghila, Corina; Pflug, Georg Ch. Optimal XL-insurance under Wasserstein-type ambiguity. Insurance Math. Econom. 88 (2019), 30–43. 91B30
MR3958435 Pending Arras, Benjamin; Azmoodeh, Ehsan; Poly, Guillaume; Swan, Yvik A bound on the Wasserstein-2 distance between linear combinations of independent random variables. Stochastic Process. Appl. 129 (2019), no. 7, 2341–2375. 60F05 (60G15 60G50 60H07)
MR3958140 Pending Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo Inequalities for the Wasserstein mean of positive definite matrices. Linear Algebra Appl. 576 (2019), 108–123. 15A42 (15A18 47A30 47A64)
MR3955234 Bigot, Jérémie; Cazelles, Elsa; Papadakis, Nicolas Penalization of barycenters in the Wasserstein space. SIAM J. Math. Anal. 51 (2019), no. 3, 2261–2285. (Reviewer: Juan A. Cuesta-Albertos) 62G07 (49Q20 62G20)
MR3955014 Laschos, Vaios; Obermayer, Klaus; Shen, Yun; Stannat, Wilhelm A Fenchel-Moreau-Rockafellar type theorem on the Kantorovich-Wasserstein space with applications in partially observable Markov decision processes. J. Math. Anal. Appl. 477 (2019), no. 2, 1133–1156. (Reviewer: Onésimo Hernández Lerma) 49N15 (90C40)
-30 2019
MR3954993 Pending Lavenant, Hugo Harmonic mappings valued in the Wasserstein space. J. Funct. Anal. 277 (2019), no. 3, 688–785. 31C45 (31C12 35J05 35J25)
MR3951716 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source. Appl. Math. Optim. 79 (2019), no. 3, 743–768. (Reviewer: Haijun Wang) 49Q12 (49K40)
MR3951694 Cancès, Clément; Matthes, Daniel; Nabet, Flore A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow. Arch. Ration. Mech. Anal. 233 (2019), no. 2, 837–866. (Reviewer: Mohammed Guedda) 76D99 (35Q35)
MR3950950 Schmitzer, Bernhard; Wirth, Benedikt A framework for Wasserstein-1-type metrics. J. Convex Anal. 26 (2019), no. 2, 353–396. (Reviewer: Luca Lussardi) 49M29 (49M20 65K10)
MR3950564 Luo, Fengqiao; Mehrotra, Sanjay Decomposition algorithm for distributionally robust optimization using Wasserstein metric with an application to a class of regression models. European J. Oper. Res. 278 (2019), no. 1, 20–35. 90C47 (60B10 62J02 90C15 90C34)
MR3949307 Petersen, Alexander; Müller, Hans-Georg Wasserstein covariance for multiple random densities. Biometrika 106 (2019), no. 2, 339–351. 62G07 (60B10 82C70)
MR3944398 Pending Hwang, Jinmi; Kim, Sejong Bounds for the Wasserstein mean with applications to the Lie-Trotter mean. J. Math. Anal. Appl. 475 (2019), no. 2, 1744–1753. 58D17
MR3944201 Pending Gangbo, Wilfrid; Tudorascu, Adrian On differentiability in the Wasserstein space and well-posedness for Hamilton-Jacobi equations. J. Math. Pures Appl. (9) 125 (2019), 119–174. 58D25 (35B30 35D40 35F21 46G05)
MR3940765 Fang, Xiao Wasserstein-2 bounds in normal approximation under local dependence. Electron. J. Probab. 24 (2019), Paper No. 35, 14 pp. (Reviewer: Benjamin Arras) 60F05
MR3939527 Panaretos, Victor M.; Zemel, Yoav Statistical aspects of Wasserstein distances. Annu. Rev. Stat. Appl. 6 (2019), 405–431. 62-02 (28A33 60B10)
-40 2019
MR3939389 Zhao, Yong; Liu, Yongchao; Yang, Xinming Distributionally robust reward-risk ratio programming with Wasserstein metric. Pac. J. Optim. 15 (2019), no. 1, 69–90. (Reviewer: I. M. Stancu-Minasian) 90C15 (90C32 90C47)
MR3928142 Bernton, Espen; Jacob, Pierre E.; Gerber, Mathieu; Robert, Christian P. Approximate Bayesian computation with the Wasserstein distance. J. R. Stat. Soc. Ser. B. Stat. Methodol. 81 (2019), no. 2, 235–269. 62F15 (28A33 60B10 62G30)
MR3926165 Lichtenegger, Emily; Niedzialomski, Robert Approximation and Wasserstein distance for self-similar measures on the unit interval. J. Math. Anal. Appl. 474 (2019), no. 2, 1250–1266. 28A33 (28A80)
MR3924870 Perchet, Vianney; Quincampoix, Marc A differential game on Wasserstein space. Application to weak approachability with partial monitoring. J. Dyn. Games 6 (2019), no. 1, 65–85. (Reviewer: Guiomar Martín-Herrán) 49N70 (91A20 91A23)
MR3920362 Zemel, Yoav; Panaretos, Victor M. Fréchet means and Procrustes analysis in Wasserstein space. Bernoulli 25 (2019), no. 2, 932–976. 62G05 (60B05 60B10 60D05 60G57 62-07)
MR3919780 Carlsson, John Gunnar; Wang, Ye Distributions with maximum spread subject to Wasserstein distance constraints. J. Oper. Res. Soc. China 7 (2019), no. 1, 69–105. 90C15 (90C34)
MR3916326 Dedecker, Jérôme; Merlevède, Florence Behavior of the empirical Wasserstein distance in
ℝd under moment conditions. Electron. J. Probab. 24 (2019), Paper No. 6, 32 pp. (Reviewer: Oliver Johnson) 60B10 (60E15 60F10 60F15)
MR3915466 Dufour, François; Prieto-Rumeau, Tomás Approximation of discounted minimax Markov control problems and zero-sum Markov games using Hausdorff and Wasserstein distances. Dyn. Games Appl. 9 (2019), no. 1, 68–102. (Reviewer: Oscar Vega-Amaya) 90C40 (90C47 91A15)
MR3914882 Konarovskyi, Vitalii; von Renesse, Max-K. Modified massive Arratia flow and Wasserstein diffusion. Comm. Pure Appl. Math. 72 (2019), no. 4, 764–800. 60K35 (58J65 60G57 60J60)
MR3914552 Bion-Nadal, Jocelyne; Talay, Denis On a Wasserstein-type distance between solutions to stochastic differential equations. Ann. Appl. Probab. 29 (2019), no. 3, 1609–1639. (Reviewer: Marco Fuhrman) 60J60 (28A33 93E20)
-50 2019
MR3910009 Xu, Lihu Approximation of stable law in Wasserstein-1 distance by Stein's method. Ann. Appl. Probab. 29 (2019), no. 1, 458–504. (Reviewer: Peter Kern) 60F05 (60E07 60G50 60G52)
MR3907014 Bandini, Elena; Cosso, Andrea; Fuhrman, Marco; Pham, Huyên Randomized filtering and Bellman equation in Wasserstein space for partial observation control problem. Stochastic Process. Appl. 129 (2019), no. 2, 674–711. (Reviewer: Oleg N. Granichin) 93E20 (49L25 60G35 60H30 93E11)
MR3906994 Shao, Jinghai The existence of geodesics in Wasserstein spaces over path groups and loop groups. Stochastic Process. Appl. 129 (2019), no. 1, 153–173. 60B05 (22E30 28A33 49Q20)
MR3900833 Carrillo, José A.; Choi, Young-Pil; Tse, Oliver Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces. Comm. Math. Phys. 365 (2019), no. 1, 329–361. (Reviewer: Xinyu He) 35Q31
MR3900011 Dieci, Luca; Walsh, J. D., III The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. J. Comput. Appl. Math. 353 (2019), 318–344. 65K10 (35J96 49M25)
MR3884603 Li, Long; Vidard, Arthur; Le Dimet, François-Xavier; Ma, Jianwei Topological data assimilation using Wasserstein distance. Inverse Problems 35 (2019), no. 1, 015006, 23 pp. 62-07 (60B05 62M30 86A22)
MR3881882 Bonnet, Benoît; Rossi, Francesco The Pontryagin maximum principle in the Wasserstein space. Calc. Var. Partial Differential Equations 58 (2019), no. 1, Art. 11, 36 pp. (Reviewer: Andrey V. Sarychev) 49K20 (49K27 58E25)
MR3875604 del Barrio, Eustasio; Gordaliza, Paula; Lescornel, Hélène; Loubes, Jean-Michel Central limit theorem and bootstrap procedure for Wasserstein's variations with an application to structural relationships between distributions. J. Multivariate Anal. 169 (2019), 341–362. (Reviewer: S. Valère Bitseki Penda) 60F05 (62G05 62G20)
MR4197822 Thesis Page, Stephen; Reproducing-Kernel Hilbert Space Regression with Notes on the Wasserstein Distance. Thesis (Ph.D.)–Lancaster University (United Kingdom). 2019. 276 pp. ISBN: 979-8691-27223-3, ProQuest LLC
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-60 2019
MR4051515 Thesis Chen, Ruidi Distributionally Robust Learning Under the Wasserstein Metric. Thesis (Ph.D.)–Boston University. 2019. 206 pp. ISBN: 978-1687-99234-5, ProQuest LLC
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MR4049226 Bernton, Espen; Jacob, Pierre E.; Gerber, Mathieu; Robert, Christian P. On parameter estimation with the Wasserstein distance. Inf. Inference 8 (2019), no. 4, 657–676. 62F10 (60B10 62F12)
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MR4141947 Prelim Pinetz, Thomas; Soukup, Daniel; Pock, Thomas; On the estimation of the Wasserstein distance in generative models. Pattern recognition, 156–170, Lecture Notes in Comput. Sci., 11824, Springer, Cham, [2019], ©2019. 94A16
MR4410573 Pending Ebert, Johannes; Spokoiny, Vladimir; Suvorikova, Alexandra
Elements of statistical inference in 2-Wasserstein space. Topics in applied analysis and optimisation—partial differential equations, stochastic and numerical analysis, 139–158, CIM Ser. Math. Sci., Springer, Cham, [2019], ©2019. 62R30
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2019 thesis
MR4351661 Thesis Yang, Nan; Relaxed
Wasserstein, Generative Adversarial Networks, Variational Autoencoders and Their Applications. Thesis (Ph.D.)–University of California, Berkeley. 2019. 116 pp. ISBN: 979-8492-73106-9, ProQuest LLC
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<——2019——65 titles from MR end 2019
start 2020 60 titles —>
MR 2020 60 titles with Wasserstein
MR4220095 Cumings-Menon, Ryan; Shin, Minchul Probability forecast combination via entropy regularized Wasserstein distance. Entropy 22 (2020), no. 9, Paper No. 929, 18 pp. 62B10 (60A10 62M20)
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MR4217458 Zhang, Hong; Wu, Zhiwei; Lan, Tian; Chen, Yanyu; Gao, Peichao Calculating the Wasserstein metric-based Boltzmann entropy of a landscape mosaic. Entropy 22 (2020), no. 4, Paper No. 381, 14 pp. 62B10 (94A17)
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MR4216708 Dąbrowski, Damian Necessary condition for rectifiability involving Wasserstein distance
W2. Int. Math. Res. Not. IMRN 2020, no. 22, 8936–8972. 28A75
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MR4195561 Pending Duong, Manh Hong; Jin, Bangti Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Commun. Math. Sci. 18 (2020), no. 7, 1949–1975. 65M06 (35Q84 60G22 65M12)
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MR4193900 Larsson, Martin; Svaluto-Ferro, Sara Existence of probability measure valued jump-diffusions in generalized Wasserstein spaces. Electron. J. Probab. 25 (2020), Paper No. 159, 25 pp. 60J60 (60G57 60J76)
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2020
MR4177281 Pending Brown, Louis; Steinerberger, Stefan On the Wasserstein distance between classical sequences and the Lebesgue measure. Trans. Amer. Math. Soc. 373 (2020), no. 12, 8943–8962. 11L07 (41A17 42B05 65D30)
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MR4174419 Pending Alfonsi, Aurélien; Jourdain, Benjamin Squared quadratic Wasserstein distance: optimal couplings and Lions differentiability. ESAIM Probab. Stat. 24 (2020), 703–717. 49Q22 (49J50 58B10 60E15 60G42)
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MR4170640 Auricchio, Gennaro; Codegoni, Andrea; Gualandi, Stefano; Toscani, Giuseppe; Veneroni, Marco The equivalence of Fourier-based and Wasserstein metrics on imaging problems. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 31 (2020), no. 3, 627–649. 60A10 (42A38 49Q20 60E15)
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MR4170073 Ogouyandjou, Carlos; Wadagni, Nestor Wasserstein Riemannian geometry on statistical manifold. Int. Electron. J. Geom. 13 (2020), no. 2, 144–151. 53B12 (60D05 62B11)
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MR4169690 Ehrlacher, Virginie; Lombardi, Damiano; Mula, Olga; Vialard, François-Xavier Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. ESAIM Math. Model. Numer. Anal. 54 (2020), no. 6, 2159–2197. 65M22 (65M12)
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MR4169480 Pending Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele A variational finite volume scheme for Wasserstein gradient flows. Numer. Math. 146 (2020), no. 3, 437–480. 65M08 (35K65 49M29 49Q22 65M12)
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MR4168389 Bonis, Thomas Stein's method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem. Probab. Theory Related Fields 178 (2020), no. 3-4, 827–860. 60F05 (26D10 49Q20 60E15 60G09)
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MR4164597 Nguyen, Dung Tien; Nguyen, Son Luu; Du, Nguyen Huu Convergence in Monge-Wasserstein distance of mean field systems with locally Lipschitz coefficients. Acta Math. Vietnam. 45 (2020), no. 4, 875–896. 60F25 (60J60 60K35)
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MR4159966 Ogouyandjou, Carlos; Wadagni, Nestor Wasserstein Riemannian geometry of gamma densities. Int. J. Math. Comput. Sci. 15 (2020), no. 4, 1253–1270. 53B12 (62B11)
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MR4159156 Pending Graham, Cole Irregularity of distribution in Wasserstein distance. J. Fourier Anal. Appl. 26 (2020), no. 5, Paper No. 75, 21 pp. 11K38 (11K06 42A05)
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2020
MR4158547 Vayer, Titouan; Chapel, Laetitia; Flamary, Remi; Tavenard, Romain; Courty, Nicolas Fused Gromov-Wasserstein distance for structured objects. Algorithms (Basel) 13 (2020), no. 9, Paper No. 212, 33 pp. 49Q22 (28A33 60B05 68T10)
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MR4157964 Thesis Mirth, Joshua Robert; Vietoris—Rips Metric Thickenings and Wasserstein Spaces. Thesis (Ph.D.)–Colorado State University. 2020. 107 pp. ISBN: 979-8664-76221-1, ProQuest LLC
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MR4154570 Zhu, Guomin; Wu, Hongguang; Cui, Xiaojun Horo-functions associated to atom sequences on the Wasserstein space. Arch. Math. (Basel) 115 (2020), no. 5, 555–566. (Reviewer: Vassili N. Kolokolʹtsov) 58E10 (60B10 60H30)
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MR4149525 Friesen, Martin; Jin, Peng; Rüdiger, Barbara Stochastic equation and exponential ergodicity in Wasserstein distances for affine processes. Ann. Appl. Probab. 30 (2020), no. 5, 2165–2195. 60H10 (37A25 60J25)
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MR4146769 Bassetti, Federico; Gualandi, Stefano; Veneroni, Marco On the computation of Kantorovich-Wasserstein distances between two-dimensional histograms by uncapacitated minimum cost flows. SIAM J. Optim. 30 (2020), no. 3, 2441–2469. (Reviewer: Katrin Tschirpke) 90C06 (49Q22 90C08)
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MR4140091 Wang, Feng-Yu Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature. Potential Anal. 53 (2020), no. 3, 1123–1144. 60J76 (47D07 58J65)
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MR4138415 Fan, Xiequan; Ma, Xiaohui On the Wasserstein distance for a martingale central limit theorem. Statist. Probab. Lett. 167 (2020), 108892, 6 pp. 60G42 (60E15 60F25)
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MR4128302 Cheng, Lingyan; Li, Ruinan; Wu, Liming Exponential convergence in the Wasserstein metric
W1 for one dimensional diffusions. Discrete Contin. Dyn. Syst. 40 (2020), no. 9, 5131–5148. 60B10 (60H10 60J60)
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MR4128279 Pending Söllner, Benjamin; Junge, Oliver A convergent Lagrangian discretization for
p-Wasserstein and flux-limited diffusion equations. Commun. Pure Appl. Anal. 19 (2020), no. 9, 4227–4256. 35K59 (35B40 35Q84 65M12 65M99)
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MR4127894 Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel Isometric study of Wasserstein spaces—the real line. Trans. Amer. Math. Soc. 373 (2020), no. 8, 5855–5883. (Reviewer: Carlo E. Sempi) 54E40 (46E27 60A10 60B05)
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2020
MR4121100 Hwang, Jinmi; Kim, Sejong Tensor product and Hadamard product for the Wasserstein means. Linear Algebra Appl. 603 (2020), 496–507. (Reviewer: Junjian Yang) 15B48 (15A45 15A69)
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MR4120535 Sagiv, Amir The Wasserstein distances between pushed-forward measures with applications to uncertainty quantification. Commun. Math. Sci. 18 (2020), no. 3, 707–724. 60A10 (28A10 28A33 65C20)
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MR4119947 Chigarev, Vladimir; Kazakov, Alexey; Pikovsky, Arkady Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Chaos 30 (2020), no. 7, 073114, 10 pp. 37C70
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MR4118990 Backhoff-Veraguas, Julio; Bartl, Daniel; Beiglböck, Mathias; Eder, Manu Adapted Wasserstein distances and stability in mathematical finance. Finance Stoch. 24 (2020), no. 3, 601–632. 91G80 (49Q22 60G44 60H30 90C15)
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MR4118939 Sarantsev, Andrey Convergence rate to equilibrium in Wasserstein distance for reflected jump-diffusions. Statist. Probab. Lett. 165 (2020), 108860, 7 pp. (Reviewer: Pierre Monmarché) 60J60 (60H10 60J76)
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MR4118923 Xie, Weijun Tractable reformulations of two-stage distributionally robust linear programs over the type-
∞ Wasserstein ball. Oper. Res. Lett. 48 (2020), no. 4, 513–523. (Reviewer: I. M. Stancu-Minasian) 90C15 (90C05)
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MR4117397 Indexed Han, Wei; Wang, Lizhe; Feng, Ruyi; Gao, Lang; Chen, Xiaodao; Deng, Ze; Chen, Jia; Liu, Peng Sample generation based on a supervised Wasserstein generative adversarial network for high-resolution remote-sensing scene classification. Inform. Sci. 539 (2020), 177–194. 94A08
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MR4117303 Sagiv, Amir; Steinerberger, Stefan Transport and interface: an uncertainty principle for the Wasserstein distance. SIAM J. Math. Anal. 52 (2020), no. 3, 3039–3051. 28A75 (49Q22 58C40)
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MR4116705 Alfonsi, Aurélien; Corbetta, Jacopo; Jourdain, Benjamin Sampling of probability measures in the convex order by Wasserstein projection. Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 3, 1706–1729. 91G60 (49Q22 60E15 60G42 90C08)
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MR4114015 Marcos, Aboubacar; Soglo, Ambroise Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space. J. Math. 2020, Art. ID 7489532, 30 pp. 35K59 (35Q20 35Q83 45K05 65M75)
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2020
MR4111670 Delon, Julie; Desolneux, Agnès A Wasserstein-type distance in the space of Gaussian mixture models. SIAM J. Imaging Sci. 13 (2020), no. 2, 936–970. 49Q22 (65K05 65K10 68Q25 68R10 68U05 68U10 90C05)
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MR4111588 Prelim Natale, Andrea; Todeschi, Gabriele; TPFA finite volume approximation of Wasserstein gradient flows. Finite volumes for complex applications IX—methods, theoretical aspects, examples, 193–201, Springer Proc. Math. Stat., 323, Springer, Cham, [2020], ©2020. 65M08 (35K65 49M41 49Q22 65M12)
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MR4107049 Li, Wuchen; Lu, Jianfeng; Wang, Li Fisher information regularization schemes for Wasserstein gradient flows. J. Comput. Phys. 416 (2020), 109449, 24 pp. (Reviewer: Anargiros I. Delis) 65M08 (49M37 49Q22 90C55)
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MR4105314 Engquist, Björn; Ren, Kui; Yang, Yunan The quadratic Wasserstein metric for inverse data matching. Inverse Problems 36 (2020), no. 5, 055001, 23 pp. 65J22 (49N45 65K05)
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MR4093037 Indexed Li, Jing; Huo, Hongtao; Liu, Kejian; Li, Chang Infrared and visible image fusion using dual discriminators generative adversarial networks with Wasserstein distance. Inform. Sci. 529 (2020), 28–41. 94A08
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MR4091410 Kim, Sejong; Lee, Hosoo Inequalities of the Wasserstein mean with other matrix means. Ann. Funct. Anal. 11 (2020), no. 1, 194–207. (Reviewer: Tin-Yau Tam) 15B48 (15A45 47B65)
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MR4089734 Coutin, Laure; Decreusefond, Laurent Donsker's theorem in Wasserstein-1 distance. Electron. Commun. Probab. 25 (2020), Paper No. 27, 13 pp. (Reviewer: Yong Chen) 60F15 (60F17 60G15 60H07)
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MR4085708 Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime On the Wasserstein distance between mutually singular measures. Adv. Calc. Var. 13 (2020), no. 2, 141–154. (Reviewer: Luca Lussardi) 49J45 (49M29 49Q20)
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MR4085661 Li, Mingming; Sun, Huafei; Li, Didong A Riemannian submersion-based approach to the Wasserstein barycenter of positive definite matrices. Math. Methods Appl. Sci. 43 (2020), no. 7, 4927–4939. 53Z50 (15B48)
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MR4083852 Chae, Minwoo; Walker, Stephen G. Wasserstein upper bounds of the total variation for smooth densities. Statist. Probab. Lett. 163 (2020), 108771, 6 pp. 60E15
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2020
MR4076772 Berthet, Philippe; Fort, Jean-Claude; Klein, Thierry A central limit theorem for Wasserstein type distances between two distinct univariate distributions. Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 2, 954–982. 62G30 (60F05 60F17 62G20)
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MR4075297 García Trillos, Nicolás Gromov-Hausdorff limit of Wasserstein spaces on point clouds. Calc. Var. Partial Differential Equations 59 (2020), no. 2, Paper No. 73, 43 pp. (Reviewer: Hugo Lavenant) 49J45 (35R03 49J55 49Q22)
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MR4073204 Jimenez, Chloé; Marigonda, Antonio; Quincampoix, Marc Optimal control of multiagent systems in the Wasserstein space. Calc. Var. Partial Differential Equations 59 (2020), no. 2, Paper No. 58, 45 pp. (Reviewer: Ugo C. Bessi) 49L25 (34A60 49J52 49Q20)
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MR4069211 Kim, Young-Heon; Pass, Brendan Nonpositive curvature, the variance functional, and the Wasserstein barycenter. Proc. Amer. Math. Soc. 148 (2020), no. 4, 1745–1756. (Reviewer: Bijan Ahmadi Kakavandi) 53C21 (49Q20 49Q22)
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MR4068569 Wang, Zhuolin; You, Keyou; Song, Shiji; Zhang, Yuli Wasserstein distributionally robust shortest path problem. European J. Oper. Res. 284 (2020), no. 1, 31–43. (Reviewer: Shaoyan Guo) 90C35 (90B06 90C10)
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MR4067882 Wang, Neng-Yi; Yin, Guosheng Convergence rates of the blocked Gibbs sampler with random scan in the Wasserstein metric. Stochastics 92 (2020), no. 2, 265–274. 60-08 (60B10)
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MR4064309 Gaunt, Robert E. Wasserstein and Kolmogorov error bounds for variance-gamma approximation via Stein's method I. J. Theoret. Probab. 33 (2020), no. 1, 465–505. (Reviewer: Fraser Alexander Daly) 60F05 (62E17)
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MR4058364 Pending Liu, Yating; Pagès, Gilles Characterization of probability distribution convergence in Wasserstein distance by Lp-quantization error function. Bernoulli 26 (2020), no. 2, 1171–1204. 60B10 (60B11 60B12)
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MR4054717 Öcal, Kaan; Grima, Ramon; Sanguinetti, Guido Parameter estimation for biochemical reaction networks using Wasserstein distances. J. Phys. A 53 (2020), no. 3, 034002, 23 pp. 62M05 (60J28 62F10 62F15 62P10)
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MR4054103 Dello Schiavo, Lorenzo A Rademacher-type theorem on
L2-Wasserstein spaces over closed Riemannian manifolds. J. Funct. Anal. 278 (2020), no. 6, 108397, 57 pp. (Reviewer: Hugo Lavenant) 31C25 (58D20)
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2020
MR4043394 Puccetti, Giovanni; Rüschendorf, Ludger; Vanduffel, Steven On the computation of Wasserstein barycenters. J. Multivariate Anal. 176 (2020), 104581, 16 pp. 60-08 (68U10 68W25)
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MR4040747 Xie, Fangzhou Wasserstein index generation model: automatic generation of time-series index with application to economic policy uncertainty. Econom. Lett. 186 (2020), 108874, 3 pp. 91B84
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MR4038803 Expansion Luini, E.; Arbenz, P. Density estimation of multivariate samples using Wasserstein distance. J. Stat. Comput. Simul. 90 (2020), no. 2, 181–210.
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MR4036051 Lei, Jing Convergence and concentration of empirical measures under Wasserstein distance in unbounded functional spaces. Bernoulli 26 (2020), no. 1, 767–798. 60B10 (60B12 60E15 60G15 62G30)
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MR4029003 Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin Wasserstein Hamiltonian flows. J. Differential Equations 268 (2020), no. 3, 1205–1219. (Reviewer: Yuxin Ge) 58B20 (35Q41 35Q83 53E99)
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MR4142495 Prelim Bigot, Jérémie; Statistical data analysis in the Wasserstein space. Journées MAS 2018—Sampling and processes, 1–19, ESAIM Proc. Surveys, 68, EDP Sci., Les Ulis, 2020. 62R20 (49Q22 60B10 62G05 62H25)
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MR4327033 Thesis Chen, Yukun; Aggregated Wasserstein Distance for Hidden Markov Models and Automated Morphological Characterization of Placenta from Photos. Thesis (Ph.D.)–The Pennsylvania State University. 2020. 135 pp. ISBN: 979-8535-58610-6, ProQuest LLC
<—2020———2020———— 62 titles in 2020 with Wasserstein
MR4377772 Prelim Gupta, Neena; Rao, Dhvanita R.; Kolte, Sagar; A survey on the non-injectivity of the vaserstein symbol in dimension three. Leavitt path algebras and classical
K-theory, 193–202, Indian Stat. Inst. Ser., Springer, Singapore, [2020], ©2020. 19G12
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end 2020 title
start 2021
MR Wasserstein in title 39 titles
MR4258740 Prelim Wu, Hongguang; Cui, Xiaojun; Peacock geodesics in Wasserstein space. Differential Geom. Appl. 77 (2021), 101764. 60B05 (54E70 58E10 60B10 91G80)
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MR4257806 Prelim Chambolle, Antonin; Laux, Tim; Mullins-Sekerka as the Wasserstein flow of the perimeter. Proc. Amer. Math. Soc. 149 (2021), no. 7, 2943–2956. 35A15 (35R35 35R37 49Q20 76D27 90B06)
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MR4255302 Prelim Hallin, Marc; Mordant, Gilles; Segers, Johan; Multivariate goodness-of-fit tests based on Wasserstein distance. Electron. J. Stat. 15 (2021), no. 1, –.
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MR4254496 Prelim Natarovskii, Viacheslav; Rudolf, Daniel; Sprungk, Björn; Quantitative spectral gap estimate and Wasserstein contraction of simple slice sampling. Ann. Appl. Probab. 31 (2021), no. 2, –. 60J22 (62D99 65)
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MR4252812 Prelim Steinerberger, Stefan; A Wasserstein inequality and minimal Green energy on compact manifolds. J. Funct. Anal. 281 (2021), no. 5, 109076. 31B15 (35K05 49Q20 49Q22)
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2021
MR4251253 Prelim Frohmader, Andrew; Volkmer, Hans; 1-Wasserstein distance on the standard simplex. Algebr. Stat. 12 (2021), no. 1, 43–56.
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MR4249875 Prelim Zhu, Guomin; Li, Wen-Long; Cui, Xiaojun; Busemann functions on the Wasserstein space. Calc. Var. Partial Differential Equations 60 (2021), no. 3, 97. 58E10 (60B10)
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MR4248478 Prelim Dinh, Trung Hoa; Le, Cong Trinh; Vo, Bich Khue; Vuong, Trung Dung; The α-z-Bures Wasserstein divergence. Linear Algebra Appl. 624 (2021), 267–280. 47A63 (47A56)
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MR4246816 Prelim Wagner, Alexander; Nonembeddability of persistence diagrams with p>2 Wasserstein metric. Proc. Amer. Math. Soc. 149 (2021), no. 6, 2673–2677. 55N31 (46C05)
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MR4246458 Prelim Carrillo, J. A.; Vaes, U.; Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations. Nonlinearity 34 (2021), no. 4, 2275–2295. 35Q70 (35Q84 62F15 65C35)
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MR4241810 Prelim Ferriere, Guillaume; Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. Anal. PDE 14 (2021), no. 2, 617–666. 35Q55 (81Q20)
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MR4238775 Prelim Jacobs, Matt; Lee, Wonjun; Léger, Flavien; The back-and-forth method for Wasserstein gradient flows. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 28, 35 pp. 65M60 (49M29 49Q22 65K10)
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MR4236683 Prelim Bayraktar, Erhan; Guoï, Gaoyue; Strong equivalence between metrics of Wasserstein type. Electron. Commun. Probab. 26 (2021), Paper No. 13, 13 pp. 60B10 (49Q22 90C25)
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MR4232671 Pending Wang, Feng-Yu Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes. J. Funct. Anal. 280 (2021), no. 11, 108998, 23 pp. 60D05 (58J65)
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MR4231684 Pending Ji, Ran; Lejeune, Miguel A. Data-driven distributionally robust chance-constrained optimization with Wasserstein metric. J. Global Optim. 79 (2021), no. 4, 779–811. 90C11 (90C15)
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2021
MR4228512 Borgwardt, Steffen; Patterson, Stephan On the computational complexity of finding a sparse Wasserstein barycenter. J. Comb. Optim. 41 (2021), no. 3, 736–761. 68Q17 (05C70 49Q22 68Q25 90B80)
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MR4226638 Prelim Liu, Wei; Yang, Li; Yu, Bo; Wasserstein distributionally robust option pricing. J. Math. Res. Appl. 41 (2021), no. 1, 99–110. 91G20 (90C15 90C25 90C47)
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MR4226510 Pending Borda, Bence Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups. J. Fourier Anal. Appl. 27 (2021), no. 2, Paper No. 13, 23 pp. 43A77 (60B15)
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MR4222401 Pending Whiteley, Nick Dimension-free Wasserstein contraction of nonlinear filters. Stochastic Process. Appl. 135 (2021), 31–50. 60J60 (60G35 62M20)
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MR4218933 Indexed Rustamov, Raif M. Closed-form expressions for maximum mean discrepancy with applications to Wasserstein auto-encoders. Stat 10 (2021), e329, 12 pp. 62G07 (68T07)
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MR4216550 Pending Cheng, Li-Juan; Thalmaier, Anton; Zhang, Shao-Qin Exponential contraction in Wasserstein distance on static and evolving manifolds. Rev. Roumaine Math. Pures Appl. 66 (2021), no. 1, 107–129. 60J60 (53E20 58J65)
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MR4215207 Qian, Yitian; Pan, Shaohua An inexact PAM method for computing Wasserstein barycenter with unknown supports. Comput. Appl. Math. 40 (2021), no. 2, Paper No. 45, 29 pp. 49Q22 (49J52 65K05 90C05)
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MR4214478 Xie, Weijun On distributionally robust chance constrained programs with Wasserstein distance. Math. Program. 186 (2021), no. 1-2, Ser. A, 115–155. 90C15 (90C11 90C47)
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MR4213934 Pending Cherukuri, Ashish; Hota, Ashish R. Consistency of distributionally robust risk- and chance-constrained optimization under Wasserstein ambiguity sets. IEEE Control Syst. Lett. 5 (2021), no. 5, 1729–1734. 90C15
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MR4213374 Cazelles, Elsa; Robert, Arnaud; Tobar, Felipe The Wasserstein-Fourier distance for stationary time series. IEEE Trans. Signal Process. 69 (2021), 709–721. 62M10 (60A10 62M15)
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2021
MR4213022 Pending Steinerberger, Stefan Wasserstein distance, Fourier series and applications. Monatsh. Math. 194 (2021), no. 2, 305–338. 42A05 (11L03 35B05 42A16 49Q20)
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MR4211609 Karimi, Amirhossein; Ripani, Luigia; Georgiou, Tryphon T. Statistical learning in Wasserstein space. IEEE Control Syst. Lett. 5 (2021), no. 3, 899–904. 49Q22 (62H25 62R20 62R30)
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MR4211522 Indexed Li, Dan; Martínez, Sonia High-confidence attack detection via Wasserstein-metric computations. IEEE Control Syst. Lett. 5 (2021), no. 2, 379–384. 94A12 (93E10 93E11)
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MR4211198 Pending Huang, Xing; Wang, Feng-Yu McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance. Discrete Contin. Dyn. Syst. 41 (2021), no. 4, 1667–1679. 60H10
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MR4209711 Prelim Bronevich, Andrey G.; Rozenberg, Igor N.; The measurement of relations on belief functions based on the Kantorovich problem and the Wasserstein metric. Internat. J. Approx. Reason. 131 (2021), 108–135. 68T37
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MR4206692 Petersen, Alexander; Liu, Xi; Divani, Afshin A. Wasserstein
F-tests and confidence bands for the Fréchet regression of density response curves. Ann. Statist. 49 (2021), no. 1, 590–611. 62J99 (62F03 62F05 62F12 62F25)
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MR4206077 Pending Ren, Panpan; Wang, Feng-Yu Exponential convergence in entropy and Wasserstein for McKean-Vlasov SDEs. Nonlinear Anal. 206 (2021), 112259, 20 pp. 60B05 (60B10 60H10)
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MR4198574 Pending Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. SIAM J. Sci. Comput. 43 (2021), no. 1, A193–A220. 49Q22 (49M25 49M29 90C90)
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MR4197408 Pending Becker, Simon; Li, Wuchen Quantum statistical learning via quantum Wasserstein natural gradient. J. Stat. Phys. 182 (2021), no. 1, Paper No. 7, 26 pp. 81P45 (53B12 81P50)
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MR4191527 Pending Cavagnari, Giulia; Marigonda, Antonio Attainability property for a probabilistic target in Wasserstein spaces. Discrete Contin. Dyn. Syst. 41 (2021), no. 2, 777–812. 49K40 (49J20 49J52 49J53 49L20)
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2021
MR4180150 Pending Çelik, Türkü Özlüm; Jamneshan, Asgar; Montúfar, Guido; Sturmfels, Bernd; Venturello, Lorenzo Wasserstein distance to independence models. J. Symbolic Comput. 104 (2021), 855–873. 62R01 (14Q15)
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MR4153238 Pending Bonnet, Benoît; Frankowska, Hélène Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework. J. Differential Equations 271 (2021), 594–637. 49Q22 (28B20 34A60 34G20 35F20 49J53 49Q15)
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MR4144292 Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail Wasserstein convergence rates for random bit approximations of continuous Markov processes. J. Math. Anal. Appl. 493 (2021), no. 2, 124543, 31 pp. 60J25 (60B10 60H10 65C40)
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MR4101489 Matsuda, Takeru; Strawderman, William E. Predictive density estimation under the Wasserstein loss. J. Statist. Plann. Inference 210 (2021), 53–63. 62A99 (62C05 62C99)
MR4276978 Prelim Fort, Jean-Claude; Klein, Thierry; Lagnoux, Agnès; Global Sensitivity Analysis and Wasserstein Spaces. SIAM/ASA J. Uncertain. Quantif. 9 (2021), no. 2, 880–921. 62G05 (62E17 62G20 62G30 65C60)
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MR4278784 Prelim Kroshnin, Alexey; Spokoiny, Vladimir; Suvorikova, Alexandra; Statistical inference for Bures–Wasserstein barycenters. Ann. Appl. Probab. 31 (2021), no. 3, 1264–1298.
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MR4254137 Prelim Carrillo, Jose A.; Matthes, Daniel; Wolfram, Marie-Therese; Lagrangian schemes for Wasserstein gradient flows. Geometric partial differential equations. Part II, 271–312, Handb. Numer. Anal., 22, Elsevier/North-Holland, Amsterdam, [2021], ©2021. 65M60 (35Q84 49Q20)
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MR4253737 Prelim Altschuler, Jason M.; Boix-Adserá, Enric; Wasserstein barycenters can be computed in polynomial time in fixed dimension. J. Mach. Learn. Res. 22 (2021), Paper No. 44, 19 pp. 90C05 (49Q22 60A10 68Q25)
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MR4293940 Prelim Dąbrowski, Damian; Sufficient Condition for Rectifiability Involving Wasserstein Distance W_2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}W_2\end{document}. J. Geom. Anal. 31 (2021), no. 8, 8539–8606. 28A75 (28A78)
MR4298980 Prelim Chae, Minwoo; De Blasi, Pierpaolo; Walker, Stephen G.; Posterior asymptotics in Wasserstein metrics on the real line. Electron. J. Stat. 15 (2021), no. 2, 3635–3677.
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2021
MR4297876 Prelim Gamboa, Carlos Andrés; Valladão, Davi Michel; Street, Alexandre; Homem-de-Mello, Tito; Decomposition methods for Wasserstein-based data-driven distributionally robust problems. Oper. Res. Lett. 49 (2021), no. 5, 696–702. 90C15
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2022
MR4304237 Prelim Arrigo, Adriano; Ordoudis, Christos; Kazempour, Jalal; De Grève, Zacharie; Toubeau, Jean-François; Vallée, François; Wasserstein distributionally robust chance-constrained optimization for energy and reserve dispatch: An exact and physically-bounded formulation. European J. Oper. Res. 296 (2022), no. 1, 304–322.
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2021
MR4303897 Prelim Borda, Bence; Equidistribution of random walks on compact groups II. The Wasserstein metric. Bernoulli 27 (2021), no. 4, 2598–2623.
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MR4303265 Prelim Papayiannis, G. I.; Domazakis, G. N.; Drivaliaris, D.; Koukoulas, S.; Tsekrekos, A. E.; Yannacopoulos, A. N.; On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters. J. Stat. Comput. Simul. 91 (2021), no. 13, 2569–2594.
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MR4301115 Prelim Kerdoncuff, Tanguy; Emonet, Rémi; Sebban, Marc; Sampled Gromov Wasserstein. Mach. Learn. 110 (2021), no. 8, 2151–2186.
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MR4300314 Prelim Kim, Sejong; Lee, Hosoo; Wasserstein barycenters of compactly supported measures. Anal. Math. Phys. 11 (2021), no. 4, Paper No. 153.
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MR4307706 Prelim Barrera, G.; Högele, M. A.; Pardo, J. C.; Cutoff Thermalization for Ornstein–Uhlenbeck Systems with Small Lévy Noise in the Wasserstein Distance. J. Stat. Phys. 184 (2021), no. 3, Paper No. 27.
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2021
MR4306876 Prelim Chen, Yaqing; Müller, Hans-Georg; Wasserstein gradients for the temporal evolution of probability distributions. Electron. J. Stat. 15 (2021), no. 2, 4061–4084.
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MR4335934 Prelim Ding, Hao; Fang, Shizan; Geometry on the Wasserstein Space Over a Compact Riemannian Manifold. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 6, 1959–1984. 58 (60)
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MR4331435 Prelim Figalli, Alessio; Glaudo, Federico; An invitation to optimal transport, Wasserstein distances, and gradient flows. EMS Textbooks in Mathematics. EMS Press, Berlin, [2021], ©2021. vi + 136 pp. ISBN: 978-3-98547-010-5 49-01 (28A33 35A15 49N15 49Q22 60B05)
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MR4330846 Prelim Marx, Victor; Infinite-dimensional regularization of McKean–Vlasov equation with a Wasserstein diffusion. Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 4, 2315–2353. 60H10 (35Q83 60H15 60J60 60K35)
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MR4329989 Prelim Dunlop, Matthew M.; Yang, Yunan; Stability of Gibbs Posteriors from the Wasserstein Loss for Bayesian Full Waveform Inversion. SIAM/ASA J. Uncertain. Quantif. 9 (2021), no. 4, 1499–1526. 62C10 (49N45 49Q20 65J22 86A22)
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MR4328512 Prelim Gupta, Abhishek; Haskell, William B.; Convergence of Recursive Stochastic Algorithms Using Wasserstein Divergence. SIAM J. Math. Data Sci. 3 (2021), no. 4, 1141–1167. 90 (47J25 60J20 68Q32 93E35)
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MR4324123 Prelim Carlier, Guillaume; Eichinger, Katharina; Kroshnin, Alexey; Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT. SIAM J. Math. Anal. 53 (2021), no. 5, 5880–5914. 49Q22 (35J96 49Q15 60B12)
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MR4320448 Prelim Luo, Yihao; Zhang, Shiqiang; Cao, Yueqi; Sun, Huafei; Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing. Entropy 23 (2021), no. 9, Paper No. 1214. 15B48 (53Z50)
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MR4318501 Prelim Huynh, Viet; Ho, Nhat; Dam, Nhan; Nguyen, XuanLong; Yurochkin, Mikhail; Bui, Hung; Phung, Dinh; On efficient multilevel clustering via Wasserstein distances. J. Mach. Learn. Res. 22 (2021), Paper No. 145, 43 pp. 62H30 (28A33 60B10)
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MR4316832 Prelim Mei, Yu; Chen, Zhi-Ping; Ji, Bing-Bing; Xu, Zhu-Jia; Liu, Jia; Data-driven Stochastic Programming with Distributionally Robust Constraints Under Wasserstein Distance: Asymptotic Properties. J. Oper. Res. Soc. China 9 (2021), no. 3, 525–542. 90C15 (90C47)
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MR4315475 Pending Bishop, Adrian N.; Doucet, Arnaud Network consensus in the Wasserstein metric space of probability measures. SIAM J. Control Optim. 59 (2021), no. 5, 3261–3277. 60B10 (68W15 90B10 90C08 90C48 93D50)
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MR4309269 Prelim Wang, Shulei; Cai, T. Tony; Li, Hongzhe; Optimal Estimation of Wasserstein Distance on a Tree With an Application to Microbiome Studies. J. Amer. Statist. Assoc. 116 (2021), no. 535, 1237–1253. 62H12 (62P10 62R20)
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MR4338898 Prelim Catalano, Marta; Lijoi, Antonio; Prünster, Igor;
Measuring dependence in the Wasserstein distance for Bayesian nonparametric models. Ann. Statist. 49 (2021), no. 5, 2916–2947. 62C10 (60G09 60G57)
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MR4338452 Prelim Chaudru de Raynal, Paul-Eric; Frikha, Noufel;
From the backward Kolmogorov PDE on the Wasserstein space to propagation of chaos for McKean-Vlasov SDEs. J. Math. Pures Appl. (9) 156 (2021), 1–124. 60H10 (35K40 60H30 93E03)
MR4345084 Prelim Palma, Giacomo De; Marvian, Milad; Trevisan, Dario; Lloyd, Seth;
The quantum Wasserstein distan of order 1. IEEE Trans. Inform. Theory 67 (2021), no. 10, 6627–6643. 81 (94A17)
MR4356911 Prelim Bonnet, Benoît; Frankowska, Hélène; Correction to: Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces. Appl. Math. Optim. 84 (2021), suppl. 2, 1819–1819.
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MR4356896 Prelim Bonnet, Benoît; Frankowska, Hélène; Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces. Appl. Math. Optim. 84 (2021), suppl. 2, 1281–1330. 30L99 (34K09 49J53 49K21 49Q22 58E25)
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MR4355697 Prelim Anastasiou, Andreas; Gaunt, Robert E.; Wasserstein distance error bounds for the multivariate normal approximation of the maximum likelihood estimator. Electron. J. Stat. 15 (2021), no. 2, 5758–5810. 62F10 (60F05 62E17)
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MR4353126 Prelim Patterson, Evan; Hausdorff and Wasserstein metrics on graphs and other structured data. Inf. Inference 10 (2021), no. 4, 1209–1249. 05C70 (49Q22 90B10)
MR4366493 Prelim Bartl, Daniel; Drapeau, Samuel; Obłój, Jan; Wiesel, Johannes;
Sensitivity analysis of Wasserstein distributionally robust optimization problems. Proc. A. 477 (2021), no. 2256, Paper No. 20210176, 19 pp. 49 (60)
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MR4385577 Prelim Naldi, Emanuele; Savaré, Giuseppe; Weak topology and Opial property in Wasserstein spaces, with applications to gradient flows and proximal point algorithms of geodesically convex functionals. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 32 (2021), no. 4, 725–750. 49Q22 (49J45 65K10)
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MR4394493 Prelim Valle, Marcos Eduardo; Francisco, Samuel; Granero, Marco Aurélio; Velasco-Forero, Santiago; Measuring the irregularity of vector-valued morphological operators using wasserstein metric. Discrete geometry and mathematical morphology, 512–524, Lecture Notes in Comput. Sci., 12708, Springer, Cham, [2021], ©2021. 94 (06B05)
MR4451854 Prelim Balci, Isin M.; Bakolas, Efstathios;
Covariance steering of discrete-time stochastic linear systems based on Wasserstein distance terminal cost. IEEE Control Syst. Lett. 5 (2021), no. 6, 2000–2005. 93E20 (49M37 90C26 93C55)
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MR4424359 Prelim Lin, Alex Tong; Li, Wuchen; Osher, Stanley; Montúfar, Guido;
Wasserstein proximal of GANs. Geometric science of information, 524–533, Lecture Notes in Comput. Sci., 12829, Springer, Cham, [2021], ©2021. 53B12 (62R07)
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MR4424356 Prelim Amari, Shun-ichi; Matsuda, Takeru;
Wasserstein statistics in one-dimensional location-scale models. Geometric science of information, 499–506, Lecture Notes in Comput. Sci., 12829, Springer, Cham, [2021], ©2021. 53B12 (62B10 62R20)
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2022
MR4335738 Prelim Sun, Yue; Qiu, Ruozhen; Sun, Minghe; Optimizing decisions for a dual-channel retailer with service level requirements and demand uncertainties: A Wasserstein metric-based distributionally robust optimization approach. Comput. Oper. Res. 138 (2022), Paper No. 105589. 90B06
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2022
MR4346718 Prelim Minh, Hà Quang; Alpha Procrustes metrics between positive definite operators: A unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics. Linear Algebra Appl. 636 (2022), 25–68. 15B48 (47B32 47B65)
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2022
MR4347493 Prelim Wang, Feng-Yu; Wasserstein convergence rate for empirical measures on noncompact manifolds. Stochastic Process. Appl. 144 (2022), 271–287. 60D05 (58J65)
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2022
MR4342999 Prelim Badreddine, Zeinab; Frankowska, Hélène; Solutions to Hamilton–Jacobi equation on a Wasserstein space. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 9. 49J21 (49J53 49L25 49Q22)
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MR4347335 Prelim He, Ruiqiang; Feng, Xiangchu; Zhu, Xiaolong; Huang, Hua; Wei, Bingzhe; RWRM: Residual Wasserstein regularization model for image restoration. Inverse Probl. Imaging 15 (2021), no. 6, 1307–.
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MR4361616 Prelim Minh, Hà Quang;
Finite Sample Approximations of Exact and Entropic Wasserstein Distances Between Covariance Operators and Gaussian Processes. SIAM/ASA J. Uncertain. Quantif. 10 (2022), no. 1, 96–124. 60G15
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MR4358162 Prelim Amari, Shun-ichi; Matsuda, Takeru;
Wasserstein statistics in one-dimensional location scale models. Ann. Inst. Statist. Math. 74 (2022), no. 1, 33–47. 62B11
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MR4357729 Prelim Breton, Jean-Christophe; Privault, Nicolas;
Wasserstein Distance Estimates for Stochastic Integrals by Forward-Backward Stochastic Calculus. Potential Anal. 56 (2022), no. 1, 1–20. 60
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MR4355909 Prelim Bencheikh, O.; Jourdain, B.;
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures. J. Approx. Theory 274 (2022), Paper No. 105684. 60B10 (28A33 41A50 49Q22)
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2022
MR4365941 Prelim Ma, Xiaohui; El Machkouri, Mohamed; Fan, Xiequan;
On Wasserstein-1 distance in the central limit theorem for elephant random walk. J. Math. Phys. 63 (2022), no. 1, Paper No. 013301, 13 pp. 60
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MR4365941 Prelim Ma, Xiaohui; El Machkouri, Mohamed; Fan, Xiequan; On Wasserstein-1 distance in the central limit theorem for elephant random walk. J. Math. Phys. 63 (2022), no. 1, Paper No. 013301, 13 pp. 60G50 (60F05 60F17)
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MR4378594 Prelim Altschuler, Jason M.; Boix-Adserà, Enric;
Wasserstein Barycenters Are NP-Hard to Compute. SIAM J. Math. Data Sci. 4 (2022), no. 1, 179–203. 68Q17 (90C08)
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MR4377993 Prelim Chaudru de Raynal,
Paul-Eric; Frikha, Noufel; Well-posedness for some non-linear SDEs and related PDE on the Wasserstein space. J. Math. Pures Appl. (9) 159 (2022), 1–167. 60H10 (35K40 60H30 93E03)
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MR4375715 Prelim Molnár, Lajos; Maps on positive definite cones of
C*-algebras preserving the Wasserstein mean. Proc. Amer. Math. Soc. 150 (2022), no. 3, 1209–1221. 47A64 (46L40 47B49)
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2 MR4379594 Prelim Nguyen, Viet Anh; Kuhn, Daniel; Esfahani, Peyman Mohajerin;
Distributionally robust inverse covariance estimation: the Wasserstein shrinkage estimator. Oper. Res. 70 (2022), no. 1, 490–515. 62 (90C15 90C90)
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MR4378886 Prelim Dechant, Andreas;
Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes. J. Phys. A 55 (2022), no. 9, Paper No. 094001, 35 pp. 60J27 (82C70)
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MR4393384 Prelim Iacobelli, Mikaela; A New Perspective on Wasserstein Distances for Kinetic Problems. Arch. Ration. Mech. Anal. 244 (2022), no. 1, 27–50.
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MR4388921 Prelim Jourdain, Benjamin; Margheriti, William; Martingale Wasserstein inequality for probability measures in the convex order. Bernoulli 28 (2022), no. 2, 830–858. 60E15 (49Q22 60B10 60G42)
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MR4388654 Prelim Caluya, Kenneth F.; Halder, Abhishek; Wasserstein proximal algorithms for the Schrödinger bridge problem: density control with nonlinear drift. IEEE Trans. Automat. Control 67 (2022), no. 3, 1163–1178. 93E20 (49Q22 60)
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MR4386535 Prelim Backhoff, Julio; Bartl, Daniel; Beiglböck, Mathias; Wiesel, Johannes; Estimating processes in adapted Wasserstein distance. Ann. Appl. Probab. 32 (2022), no. 1, 529–550. 60G42 (49Q22 58E30)
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MR4386523 Prelim Qin, Qian; Hobert, James P.; Wasserstein-based methods for convergence complexity analysis of MCMC with applications. Ann. Appl. Probab. 32 (2022), no. 1, 124–166. 60J05
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MR4386483 Prelim Heinemann, Florian; Munk, Axel; Zemel, Yoav; Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees. SIAM J. Math. Data Sci. 4 (2022), no. 1, 229–259. 62G99 (49Q22 62P10 68T09 90C08)
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MR4379594 Prelim Nguyen, Viet Anh; Kuhn, Daniel; Mohajerin Esfahani, Peyman; Distributionally robust inverse covariance estimation: the Wasserstein shrinkage estimator. Oper. Res. 70 (2022), no. 1, 490–515. 62J07 (90C15 90C90)
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MR4378594 Prelim Altschuler, Jason M.; Boix-Adserà, Enric; Wasserstein barycenters are NP-hard to compute. SIAM J. Math. Data Sci. 4 (2022), no. 1, 179–203. 68Q17 (49Q22)
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MR4394092 Prelim Brawley, Easton; Doyle, Mason; Niedzialomski, Robert; On the 2-Wasserstein distance for self-similar measures on the unit interval. Math. Nachr. 295 (2022), no. 3, 468–486. 28A20 (60B10)
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MR4393384 Prelim Iacobelli, Mikaela; A New Perspective on Wasserstein Distances for Kinetic Problems. Arch. Ration. Mech. Anal. 244 (2022), no. 1, 27–50. 35J96 (82B40 82D10)
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MR4407747 Prelim Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen;
Primal Dual Methods for Wasserstein Gradient Flows. Found. Comput. Math. 22 (2022), no. 2, 389–443. 35A15 (47J25 47J35 49M29 65K10 82B21)
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MR4406866 Prelim Hwang, Jinmi; Kim, Sejong;
Two-Variable Wasserstein Means of Positive Definite Operators. Mediterr. J. Math. 19 (2022), no. 3, Paper No. 110.
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MR4405488 Prelim Cui, Jianbo; Dieci, Luca; Zhou, Haomin;
Time discretizations of Wasserstein-Hamiltonian flows. Math. Comp. 91 (2022), no. 335, 1019–1075. 65P10 (35R02 58)
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MR4402565 Prelim Manole, Tudor; Balakrishnan, Sivaraman; Wasserman, Larry;
Minimax confidence intervals for the Sliced Wasserstein distance. Electron. J. Stat. 16 (2022), no. 1, 2252–2345. 62G15 (62G05)
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MR4400391 Prelim Chen, Yao; Gao, Qingyi; Wang, Xiao;
Inferential Wasserstein generative adversarial networks. J. R. Stat. Soc. Ser. B. Stat. Methodol. 84 (2022), no. 1, 83–113. 62R20
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MR4400283 Prelim Zhang, Chao; Kokoszka, Piotr; Petersen, Alexander;
Wasserstein autoregressive models for density time series. J. Time Series Anal. 43 (2022), no. 1, 30–52. 62G05 (62G20 62M10)
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MR4413319 Prelim Gaunt, Robert E.;
Stein factors for variance-gamma approximation in the Wasserstein and Kolmogorov distances. J. Math. Anal. Appl. 514 (2022), no. 1, Paper No. 126274.
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MR4407747 Prelim Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen;
Primal Dual Methods for Wasserstein Gradient Flows. Found. Comput. Math. 22 (2022), no. 2, 389–443. 65 (35A15 47J25 47J35 49M29 49Q22 65K10 82B21)
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MR4417396 Prelim De Ponti, Nicolò; Farinelli, Sara;
Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances. Calc. Var. Partial Differential Equations 61 (2022), no. 4, Paper No. 131. 53C23
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MR4417000 Prelim Heaton, Howard; Fung, Samy Wu; Lin, Alex Tong; Osher, Stanley; Yin, Wotao;
Wasserstein-Based Projections with Applications to Inverse Problems. SIAM J. Math. Data Sci. 4 (2022), no. 2, 581–603. 65K10 (65F22 68T07 92C55)
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MR4414770 Prelim Bubenik, Peter; Elchesen, Alex;
Universality of persistence diagrams and the bottleneck and Wasserstein distances. Comput. Geom. 105 (2022), Paper No. 101882.
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MR4414504 Prelim Mei, Yu; Liu, Jia; Chen, Zhiping;
Distributionally Robust Second-Order Stochastic Dominance Constrained Optimization with Wasserstein Ball. SIAM J. Optim. 32 (2022), no. 2, 715–738. 90C15 (90-08 90C31 91B70 91G10)
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MR4428792 Prelim Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen; DeepParticle:
Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. J. Comput. Phys. 464 (2022), Paper No. 111309.
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2022
MR4422567 Prelim Maretic, Hermina Petric; Gheche, Mireille El; Minder, Matthias; Chierchia, Giovanni; Frossard, Pascal;
Wasserstein-based graph alignment. IEEE Trans. Signal Inform. Process. Netw. 8 (2022), 353–363. 94C15
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MR4429313 Prelim Sandrić, Nikola; Arapostathis, Ari; Pang, Guodong; Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes. Appl. Math. Optim. 85 (2022), no. 3, Paper No. 24.
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MR4421736 Prelim Gao, Yihang; Ng, Michael K.;
Wasserstein generative adversarial uncertainty quantification in physics-informed neural networks. J. Comput. Phys. 463 (2022), Paper No. 111270. 65N99 (62M45)
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MR4421611 Prelim Qin, Qian; Hobert, James P.;
Geometric convergence bounds for Markov chains in Wasserstein distance based on generalized drift and contraction conditions. Ann. Inst. Henri Poincaré Probab. Stat. 58 (2022), no. 2, 872–889. 60J05
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MR4420762 Prelim Pegoraro, Matteo; Beraha, Mario;
Projected statistical methods for distributional data on the real line with the Wasserstein metric. J. Mach. Learn. Res. 23 (2022), Paper No. 37, 59 pp. 62H25 (62R20)
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2022 s
MR4428792 Prelim Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen; DeepParticle:
Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. J. Comput. Phys. 464 (2022), Paper No. 111309.
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2022
MR4421628 Prelim Reygner, Julien; Touboul, Adrien;
Reweighting samples under covariate shift using a Wasserstein distance criterion. Electron. J. Stat. 16 (2022), no. 1, 3278–3314. 62E17 (62E20)
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MR4434249 Prelim
Yonekura, Kazuo; Miyamoto, Nozomu; Suzuki, Katsuyuki;
Inverse airfoil design method for generating varieties of smooth airfoils using conditional WGAN-gp.
Struct. Multidiscip. Optim. 65 (2022), no. 6, Paper No. 173.
MR4441130 Prelim Niles-Weed, Jonathan; Berthet, Quentin;
Minimax estimation of smooth densities in Wasserstein distance. Ann. Statist. 50 (2022), no. 3, 1519–1540.
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2022
MR4438713 Prelim Candau-Tilh, Jules; Goldman, Michael;
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type. ESAIM Control Optim. Calc. Var. 28 (2022), Paper No. 37, 20 pp. 49Q20 (49Q05 49Q22)
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MR4437647 Prelim Ghaderinezhad, Fatemeh; Ley, Christophe; Serrien, Ben;
The Wasserstein Impact Measure (WIM): A practical tool for quantifying prior impact in Bayesian statistics. Comput. Statist. Data Anal. 174 (2022), 107352.
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MR4430959 Prelim Blanchet, Jose; Murthy, Karthyek; Si, Nian;
Confidence regions in Wasserstein distributionally robust estimation. Biometrika 109 (2022), no. 2, 295–315.
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MR4430947 Prelim Chung, Nhan-Phu; Trinh,
Thanh-Son; Unbalanced optimal total variation transport problems and generalized Wasserstein barycenters. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 3, 674–700. 49Q22 (49N15 58E30)
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MR4441177 Prelim Arqué, Ferran; Uribe, César A.; Ocampo-Martinez, Carlos;
Approximate Wasserstein attraction flows for dynamic mass transport over networks. Automatica J. IFAC 143 (2022), Paper No. 110432.
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MR4428792 Prelim Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen;
DeepParticle: Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. J. Comput. Phys. 464 (2022), Paper No. 111309. 65M75 (37M21 65C20 65C30 76M35)
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MR4422567 Prelim Maretic, Hermina Petric; Gheche, Mireille El; Minder, Matthias; Chierchia, Giovanni; Frossard, Pascal; Wasserstein-based graph alignment. IEEE Trans. Signal Inform. Process. Netw. 8 (2022), 353–363. 94C15
Review PDF Clipboard Journal Article
MR4421736 Prelim Gao, Yihang; Ng, Michael K.; Wasserstein generative adversarial uncertainty quantification in physics-informed neural networks. J. Comput. Phys. 463 (2022), Paper No. 111270. 65N99 (62M45)
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MR4421628 Prelim Reygner, Julien; Touboul, Adrien; Reweighting samples under covariate shift using a Wasserstein distance criterion. Electron. J. Stat. 16 (2022), no. 1, 3278–3314. 62E17 (62E20)
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MR4452774 Prelim Riekert, Adrian;
Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances. Statist. Probab. Lett. 189 (2022), 109605. 60B10 (60J05 65C05)
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MR4452550 Prelim Yuan, Yuefei; Song, Qiankun; Zhou, Bo;
A Wasserstein distributionally robust chance constrained programming approach for emergency medical system planning problem. Internat. J. Systems Sci. 53 (2022), no. 10, 2136–2148.
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MR4452151 Prelim Mallasto, Anton; Gerolin, Augusto; Minh, Hà Quang;
Entropy-regularized 2-Wasserstein distance between Gaussian measures. Inf. Geom. 5 (2022), no. 1, 289–323. 62R99 (49 90)
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MR4452150 Prelim Lee, Wonjun; Li, Wuchen; Lin, Bo; Monod, Anthea;
Tropical optimal transport and Wasserstein distances. Inf. Geom. 5 (2022), no. 1, 247–287. 49 (53 90)
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MR4451910 Prelim Jekel, David; Li, Wuchen; Shlyakhtenko, Dimitri;
Tracial smooth functions of non-commuting variables and the free Wasserstein manifold. Dissertationes Math. 580 (2022), 1–150. 46L54 (35Q49 46L52 58D99 94A17)
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MR4450414 Prelim Shehadeh, Karmel S.;
Data-driven distributionally robust surgery planning in flexible operating rooms over a Wasserstein ambiguity. Comput. Oper. Res. 146 (2022), Paper No. 105927.
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MR4446253 Prelim Kiss, Gergely; Titkos, Tamás;
Isometric rigidity of Wasserstein spaces: The graph metric case. Proc. Amer. Math. Soc. 150 (2022), no. 9, 4083–4097. 54E40 (46E27)
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MR4445886 Prelim Meysam Cheramin; Cheng, Jianqiang; Jiang, Ruiwei; Pan, Kai;
Computationally efficient approximations for distributionally robust optimization under moment and Wasserstein ambiguity. INFORMS J. Comput. 34 (2022), no. 3, 1768–1794. 90C15 (90C22 90C47)
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MR4444516 Prelim Kang, Kyungkeun; Kim, Hwa Kil;
Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows. Z. Angew. Math. Phys. 73 (2022), no. 4, Paper No. 138. 92C17 (35K55)
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MR4466738 Prelim De Ponti, Nicolò; Muratori, Matteo; Orrieri, Carlo;
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below. J. Funct. Anal. 283 (2022), no. 9, Paper No. 109661.
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MR4467246 Prelim Li, W.; Rubio, F. J.;
On a prior based on the Wasserstein information matrix. Statist. Probab. Lett. 190 (2022), Paper No. 109645.
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MR4462865 Prelim Tiapkin, Daniil; Gasnikov, Alexander; Dvurechensky, Pavel;
Stochastic saddle-point optimization for the Wasserstein barycenter problem. Optim. Lett. 16 (2022), no. 7, 2145–2175.
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MR4459624 Prelim Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio;
Gradient flow formulation of diffusion equations in the Wasserstein space over a Metric graph. Netw. Heterog. Media 17 (2022), no. 5, 687–. 49Q22 (35 60)
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MR4458660 Prelim Risser, Laurent; Sanz, Alberto González; Vincenot, Quentin; Loubes, Jean-Michel; Tackling
Algorithmic Bias in Neural-Network Classifiers using Wasserstein-2 Regularization. J. Math. Imaging Vision 64 (2022), no. 6, 672–689. 68U07
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MR4456457 Prelim Kum, S.; Duong, M. H.; Lim, Y.; Yun, S.;
A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures. J. Comput. Appl. Math. 416 (2022), Paper No. 114588. 65K10 (49Q20)
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MR4452774 Prelim Riekert, Adrian;
Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances. Statist. Probab. Lett. 189 (2022), 109605. 60B10 (60J05 65C05)
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MR4468328 Prelim Santambrogio, Filippo;
Lectures on optimal transport [book review of MR4294651]; An invitation to optimal transport, Wasserstein distances, and gradient flows [book review of MR4331435]. Eur. Math. Soc. Mag. No. 124 (2022), 60–63. 00A17
MR4474563 Prelim Wiesel, Johannes C. W.;
Measuring association with Wasserstein distances. Bernoulli 28 (2022), no. 4, 2816–2832.
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MR4474558 Prelim Niles-Weed, Jonathan; Rigollet, Philippe;
Estimation of Wasserstein distances in the Spiked Transport Model. Bernoulli 28 (2022), no. 4, 2663–2688.
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MR4469075 Prelim Santos-Rodríguez, Jaime;
On isometries of compact
Lp-Wasserstein spaces. Adv. Math. 409 (2022), Paper No. 108632. 53C23 (53C21)
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TO VINTITLE
MR4479897 Prelim Cui, Jianbo; Dieci, Luca; Zhou, Haomin;
A ContinSIAM J. Sci. Comput.uation Multiple Shooting Method for Wasserstein Geodesic Equation. 44 (2022), no. 5, A2918–A2943. 65K10 (34A55 49M25 49Q22 65L09 65L10 65M99 65P10)
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MR4474563 Prelim Wiesel, Johannes C. W.; Measuring association with Wasserstein distances. Bernoulli 28 (2022), no. 4, 2816–2832. 62G05 (49Q22 62G20 62H20)
MR4483540 Prelim Miroshnikov, Alexey; Kotsiopoulos, Konstandinos; Franks, Ryan; Ravi Kannan, Arjun;
Wasserstein-based fairness interpretability framework for machine learning models. Mach. Learn. 111 (2022), no. 9, 3307–3357.
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MR4476561 Prelim Kim, Cheolhyeong; Park, Seungtae; Hwang, Hyung Ju;
Local stability of Wasser33 (2022), no. 9,stein GANs with abstract gradient penalty. IEEE Trans. Neural Netw. Learn. Syst. 4527–4537. 94 (28A15 60 90C15)
MR4496687 Prelim Bubenik, Peter; Elchesen, Alex;
Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces. J. Appl. Comput. Topol. 6 (2022), no. 4, 429–474.
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2022 thesis
Computational Inversion with Wasserstein Distances and Neural Network Induced Loss Functions. Thesis (Ph.D.)–Columbia University. 2022. 185 pp. ISBN: 979-8845-75608-4, ProQuest LLC
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MR4507678 Prelim Germain, Maximilien; Pham, Huyên; Warin, Xavier;
Rate of convergence for particle approximation of PDEs in Wasserstein space. J. Appl. Probab. 59 (2022), no. 4, 992–1008. 35R15 (60H30 60K35 91A07)
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MR4506815 Prelim Ho-Nguyen, Nam; Kılınç-Karzan, Fatma; Küçükyavuz, Simge; Lee, Dabeen;
Distributionally robust chance-constrained programs with right-hand side uncertainty under Wasserstein ambiguity. Math. Program. 196 (2022), no. 1-2, Ser. B, 641–672. 90-08 (90-10 90C10 90C11 90C15 90C17 90C27 90C57)
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MR4503174 Prelim Marx, Victor;
A Bismut-Elworthy inequality for a Wasserstein diffusion on the circle. Stoch. Partial Differ. Equ. Anal. Comput. 10 (2022), no. 4, 1559–1618. 60H10 (60H07 60H30 60J60 60K35)
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MR4512980 Prelim Wang, Yifei; Chen, Peng; Li, Wuchen;
Projected Wasserstein Gradient Descent for High-Dimensional Bayesian Inference. SIAM/ASA J. Uncertain. Quantif. 10 (2022), no. 4, 1513–1532. 62F15
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2022 thesis
MR4511551 Thesis Yenisey, Mehmet; The Metric Geometry
Nature of Wasserstein Spaces of Probability Measures: On the Point of View of Submetry Projections. Thesis (Ph.D.)–University of Kansas. 2022. 68 pp. ISBN: 979-8352-92325-2, ProQuest LLC
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MR4509072 Prelim Liao, Zhong-Wei; Ma, Yutao; Xia, Aihua;
On Stein's Factors for Poisson Approximation in Wasserstein Distance with Nonlinear Transportation Costs. J. Theoret. Probab. 35 (2022), no. 4, 2383–2412. 60 (49 62)
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MR4522876 Prelim Chambolle, Antonin; Contreras, Juan Pablo;
Accelerated Bregman Primal-Dual Methods Applied to Optimal Transport and Wasserstein Barycenter Problems. SIAM J. Math. Data Sci. 4 (2022), no. 4, 1369–1395. 65Y20 (49Q22 90C05 90C06 90C08 90C47)
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MR4522876 Prelim Chambolle, Antonin; Contreras, Juan Pablo;
Accelerated Bregman Primal-Dual Methods Applied to Optimal Transport and Wasserstein Barycenter Problems. SIAM J. Math. Data Sci. 4 (2022), no. 4, 1369–1395. 65Y20 (49Q22 90C05 90C06 90C08 90C47)
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MR4522098 Prelim Dvinskikh, Darina;
Stochastic approximation versus sample average approximation for Wasserstein barycenters. Optim. Methods Softw. 37 (2022), no. 5, 1603–1635.
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MR4522524 Prelim Sun, Fupeng; Ni, Yin; Luo, Yihao; Sun, Huafei; ECG Classification Based on Wasserstein Scalar Curvature. Entropy 24 (2022), no. 10, Paper No. 1450. 62 (53 94)
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MR4514541 Prelim Oostrum, Jesse van;
MR4522098 Prelim Dvinskikh, Darina;
Stochastic approximation versus sample average approximation for Wasserstein barycenters. Optim. Methods Softw. 37 (2022), no. 5, 1603–1635.
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MR4519227 Prelim Backhoff-Veraguas, Julio; Fontbona, Joaquin; Rios, Gonzalo; Tobar, Felipe;
Bayesian learning with Wasserstein barycenters. ESAIM Probab. Stat. 26 (2022), 436–472. 62G05 (62G20 62H10)
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MR4517244 Prelim Loomis, Samuel P.; Crutchfield, James P.;
Exploring predictive states via Cantor embeddings and Wasserstein distance. Chaos 32 (2022), no. 12, Paper No. 123115, 9
pp. 60(62)
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MR4504022 Prelim Liao, Qichen; Chen, Jing; Wang, Zihao; Bai, Bo; Jin, Shi; Wu, Hao; Fast Sinkhorn I: an
O(N)
algorithm for the Wasserstein-1 metric. Commun. Math. Sci. 20 (2022), no. 7, 2053–2067. 49M25 (49Q22 65K10)
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MR4499525 Prelim Yatracos, Yannis G.;
Limitations of the Wasserstein MDE for univariate data. Stat. Comput. 32 (2022), no. 6, 95.
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MR4499079 Prelim Yue, Man-Chung; Kuhn, Daniel;
Wiesemann, Wolfram; On linear optimization over Wasserstein balls. Math. Program. 195 (2022), no. 1-2, Ser. A, 1107–1122.
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MR4489320 Prelim Lombardini, Luca; Rossi, Francesco;
Obstructions to extension of Wasserstein distances for variable masses. Proc. Amer. Math. Soc. 150 (2022), no. 11, 4879–4890. 49Q22 (28A33)
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MR4533107 Thesis Milne, Tristan;
Optimal Transport, Congested Transport, and Wasserstein Generative Adversarial Networks. Thesis (Ph.D.)–University of Toronto (Canada). 2022. 199 pp. ISBN: 979-8357-55114-6, ProQuest LLC
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MR4534899 Prelim Duvenhage, Rocco; Quadratic Wasserstein metrics for von neumann algebras via transport plans. J. Operator Theory 88 (2022), no. 2, 289–308. 46L30 (46L10 46L55 49Q22)
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MR4533107 Thesis Milne, Tristan;
Optimal Transport, Congested Transport, and Wasserstein Generative Adversarial Networks. Thesis (Ph.D.)–University of Toronto (Canada). 2022. 199 pp. ISBN: 979-8357-55114-6, ProQuest LLC
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MR4524213 Prelim Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel;
The isometry group of Wasserstein spaces: the Hilbertian case. J. Lond. Math. Soc. (106 (2022), no. 4,2) 3865–3894. 46E27 (46G12 47B49 54 60)
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<——2022—————-2022———-98—end 2022
2023
MR4539468 Prelim Zhao, Feiran; You, Keyou; Minimax Q-learning control for linear systems using the Wasserstein metric. Automatica J. IFAC 149 (2023), Paper No. 110850. 93E35
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MR4537607 Prelim Luo, Zunhao; Yin, Yunqiang; Wang, Dujuan; Cheng, T. C. E; Wu, Chin-Chia; Wasserstein distributionally robust chance-constrained program with moment information. Comput. Oper. Res. 152 (2023), Paper No. 106150.
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MR4530916 Prelim Gehér, György Pál; Pitrik, József; Titkos, Tamás; Virosztek, Dániel; Quantum Wasserstein isometries on the qubit state space. J. Math. Anal. Appl. 522 (2023), no. 2, Paper No. 126955.
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MR4530140 Prelim Duy, Vo Nguyen Le; Takeuchi, Ichiro; Exact statistical inference for the Wasserstein distance by selective inference. Ann. Inst. Statist. Math. 75 (2023), no. 1, 127–157.
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MR4529381 Prelim Xia, Qinglan; Zhou, Bohan; The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains. Adv. Calc. Var. 16 (2023), no. 1, 1–15. 49J45 (49J20 49Q05 49Q20)
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MR4527996 Prelim Xu, Guanglong; Hu, Zhensheng; Cai, Jia; WAD-CMSN: Wasserstein distance-based cross-modal semantic network for zero-shot sketch-based image retrieval. Int. J. Wavelets Multiresolut. Inf. Process. 21 (2023), no. 2, Paper No. 2250054, 19 pp.
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MR4527311 Prelim Wu, Zhongming; Sun, Kexin; Distributionally robust optimization with Wasserstein metric for multi-period portfolio selection under uncertainty. Appl. Math. Model. 117 (2023), 513–528. 91G10 (49Q22)
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MR4516798 Pending Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel Isometric rigidity of Wasserstein tori and spheres. Mathematika 69 (2023), no. 1, 20–32. 54E40 (46E27 54E70)
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MR4515811 Pending Santambrogio, Filippo Sharp Wasserstein estimates for integral sampling and Lorentz summability of transport densities. J. Funct. Anal. 284 (2023), no. 4, Paper No. 109783, 12 pp. 49Q22 (35J96 46E30)
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MR4509255 Pending Ma, Qing; Wang, Yanjun Distributionally robust chance constrained SVM model with
ℓ2
-Wasserstein distance. J. Ind. Manag. Optim. 19 (2023), no. 2, 916–931. 90C15 (90C20)
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MR4499874 Pending Huesmann, Martin; Mattesini, Francesco; Trevisan, Dario Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus. Stochastic Process. Appl. 155 (2023), 1–26. 60G22 (49Q22 60B05 60B10)
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MR4494563 Pending Novack, Michael; Topaloglu, Ihsan; Venkatraman, Raghavendra Least Wasserstein distance between disjoint shapes with perimeter regularization. J. Funct. Anal. 284 (2023), no. 1, Paper No. 109732, 26 pp. 49Q10 (49J10 49Q20)
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2023 see 2022
MR4551562 Prelim Pagès, Gilles; Panloup, Fabien;
Unadjusted Langevin algorithm with multiplicative noise: Total variation and Wasserstein bounds. Ann. Appl. Probab. 33 (2023), no. 1, 726–779. 65 (37 60 62 93)
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2023
MR4551543 Prelim Wang, Feng-Yu;
Convergence in Wasserstein distance for empirical measures of semilinear SPDEs. Ann. Appl. Probab. 33 (2023), no. 1, 70–84. 60
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MR4551016 Prelim Zhou, Datong; Chen, Jing; Wu, Hao; Yang, Dinghui; Qiu, Lingyun;
The Wasserstein-Fisher-Rao metric for waveform based earthquake location. J. Comput. Math. 41 (2023), no. 3, 437–458. 86 (65K10)
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MR4550961 Prelim Shen, Haoming; Jiang, Ruiwei;
Chance-constrained set covering with Wasserstein ambiguity. Math. Program. 198 (2023), no. 1, Ser. A, 621–674. 90C15 (90C11 90C47)
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MR4549971 Prelim Dapogny, Charles; Iutzeler, Franck; Meda, Andrea; Thibert, Boris;
Entropy-regularized Wasserstein distributionally robust shape and topology optimization. Struct. Multidiscip. Optim. 66 (2023), no. 3, 42. 49Q10 (49Q12 49Q22 74)
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MR4549474 Prelim Feng, Chunrong; Liu, Yujia; Zhao, Huaizhong;
Periodic measures and Wasserstein distance for analysing periodicity of time series datasets. Commun. Nonlinear Sci. Numer. Simul. 120 (2023), Paper No. 107166. 60B12 (37A44 37A50 62M05)
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MR4547374 Prelim De Giuli, Maria Elena; Spelta, Alessandro;
Wasserstein barycenter regression for estimating the joint dynamics of renewable and fossil fuel energy indices. Comput. Manag. Sci. 20 (2023), no. 1, 1. 62 (49Q22 91)
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MR4515811 Pending Santambrogio, Filippo
Sharp Wasserstein estimates for integral sampling and Lorentz summability of transport densities. J. Funct. Anal. 284 (2023), no. 4, Paper No. 109783, 12 pp. 49Q22 (35J96 46E30)
Review PDF Clipboard Journal Article
MR4539468 Prelim Zhao, Feiran; You, Keyou;
Minimax Q-learning control for linear systems using the Wasserstein metric. Automatica J. IFAC 149 (2023), Paper No. 110850. 93E35
Review PDF Clipboard Journal Article
MR4533915 Prelim Gaunt, Robert E.; Li, Siqi;
Bounding Kolmogorov distances through Wasserstein and related integral probability metrics. J. Math. Anal. Appl. 522 (2023), no. 1, Paper No. 126985. 60E15 (41A46 60F05)
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MR4533736 Prelim Wang, Feng-Yu; Zhu, Jie-Xiang;
Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds. Ann. Inst. Henri Poincaré Probab. Stat. 59 (2023), no. 1, 437–475. 58J65 (60D05 60F05)
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MR4530140 Prelim Duy, Vo Nguyen Le; Takeuchi, Ichiro; Exact statistical inference for the Wasserstein distance by selective inference. Ann. Inst. Statist. Math. 75 (2023), no. 1, 127–157. 62G15 (49Q22)
Review PDF Clipboard Journal Article
MR4527311 Prelim Wu, Zhongming; Sun, Kexin;
Distributionally robust optimization with Wasserstein metric for multi-period portfolio selection under uncertainty. Appl. Math. Model. 117 (2023), 513–528. 91G10 (49Q22)
Review PDF Clipboard Journal Article
MR4516798 Pending Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel
Isometric rigidity of Wasserstein tori and spheres. Mathematika 69 (2023), no. 1, 20–32. 54E40 (46E27 54E70)
Review PDF Clipboard Journal Article 1 Citation
MR4509255 Pending Ma, Qing; Wang, Yanjun
Distributionally robust chance constrained SVM model with
ℓ2-Wasserstein distance. J. Ind. Manag. Optim. 19 (2023), no. 2, 916–931. 90C15 (90C20)
Review PDF Clipboard Journal Article
,—2023——20—end 2023
MR requires login Home
my name in title from Math Reviews
618 titles with Wasserstein
+ 15 Vaserstein
+ 4 Vasserstein 2, and Vasseršteĭn 2
+ 1 WGAN = WGANS
= 638 titles total at MR—
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MR requires login Home
my name in title from Math Reviews
618 titles with Wasserstein
+ 15 Vaserstein
+ 4 Vasserstein 2, and Vasseršteĭn 2
+ 1 WGAN = WGANS
= 638 titles total at MR—
by year this page/MR
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MR tutles 20 98 83 64 65 63 45 37 21 33
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248 reviews by Vaserstein since 1982
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1503 results for Wasserstein anywhere in MR
626 results for Vaserstein anywhere in MR
18 results for Vasershtein anywhere in MR
5 for Vasserstein
5 for Vasseršteĭn
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5824 Wasserstein
15 Vaserstein
4 Vasserstein 2, and Vasseršteĭn 2
1 WGAN = WGANS