On Optimal Matching of Gaussian Samples
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[1] Gershon Wolansky,et al. Optimal Transport , 2021 .
[2] Yuval Peres,et al. Gravitational allocation for uniform points on the sphere , 2017, The Annals of Probability.
[3] M. Talagrand. Upper and Lower Bounds for Stochastic Processes , 2021, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics.
[4] S. Bobkov,et al. One-dimensional empirical measures, order statistics, and Kantorovich transport distances , 2019, Memoirs of the American Mathematical Society.
[5] L. Ambrosio,et al. Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces , 2015, Memoirs of the American Mathematical Society.
[6] Y. Peres,et al. Gravitational allocation on the sphere , 2018, Proceedings of the National Academy of Sciences.
[7] L. Ambrosio,et al. A PDE approach to a 2-dimensional matching problem , 2016, 1611.04960.
[8] G. Schechtman. BEST CONSTANTS IN MOMENT INEQUALITIES FOR LINEAR COMBINATIONS OF INDEPENDENT AND EXCHANGEABLE , 2016 .
[9] 飛鳥 高津. Cédric Villani: Optimal Transport——Old and New, Grundlehren Math. Wiss., 338, Springer, 2009年,xxii+973ページ. , 2015 .
[10] L. Ambrosio,et al. Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds , 2012, 1209.5786.
[11] Giorgio Parisi,et al. A Scaling Hypothesis for the Euclidean Bipartite Matching Problem , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[12] A. Guillin,et al. On the rate of convergence in Wasserstein distance of the empirical measure , 2013, 1312.2128.
[13] M. Ledoux,et al. Analysis and Geometry of Markov Diffusion Operators , 2013 .
[14] Feng-Yu Wang. Analysis for Diffusion Processes on Riemannian Manifolds , 2013 .
[15] Karl-Theodor Sturm,et al. On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces , 2013, 1303.4382.
[16] C. Bordenave,et al. Combinatorial Optimization Over Two Random Point Sets , 2011, 1103.2734.
[17] S. Dereich,et al. Constructive quantization: Approximation by empirical measures , 2011, 1108.5346.
[18] Thibaut Le Gouic,et al. On the mean speed of convergence of empirical and occupation measures in Wasserstein distance , 2011, 1105.5263.
[19] Kazumasa Kuwada,et al. Duality on gradient estimates and Wasserstein controls , 2009, 0910.1741.
[20] C. Villani. Optimal Transport: Old and New , 2008 .
[21] C. Villani,et al. Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces , 2005, math/0503123.
[22] O. Martin,et al. Almost Sure Convergence of the Minimum Bipartite Matching Functional in Euclidean Space , 2002, Comb..
[23] C. Villani,et al. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality , 2000 .
[24] J. Yukich. Probability theory of classical Euclidean optimization problems , 1998 .
[25] J. Yukich,et al. Asymptotics for transportation cost in high dimensions , 1995 .
[26] M. Talagrand. Matching theorems and empirical discrepancy computations using majorizing measures , 1994 .
[27] M. Talagrand. THE TRANSPORTATION COST FROM THE UNIFORM MEASURE TO THE EMPIRICAL MEASURE IN DIMENSION > 3 , 1994 .
[28] I. Chavel. Riemannian Geometry: Subject Index , 2006 .
[29] Michel Talagrand,et al. Matching Random Samples in Many Dimensions , 1992 .
[30] Marjorie G. Hahn,et al. An Exposition of Talagrand’s Mini-Course on Matching Theorems , 1992 .
[31] J. Yukich. Some Generalizations of the Euclidean Two-Sample Matching Problem , 1992 .
[32] Peter W. Shor,et al. How to pack better than best fit: tight bounds for average-case online bin packing , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[33] J. Yukich,et al. Minimax Grid Matching and Empirical Measures , 1991 .
[34] T. K. Carne. HEAT KERNELS AND SPECTRAL THEORY: (Cambridge Tracts in Mathematics 92) , 1990 .
[35] Frank Thomson Leighton,et al. Tight bounds for minimax grid matching with applications to the average case analysis of algorithms , 1989, Comb..
[36] E. Davies,et al. Heat kernels and spectral theory , 1989 .
[37] D. Bakry. Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée , 1987 .
[38] N. Varopoulos,et al. Hardy-Littlewood theory for semigroups , 1985 .
[39] W. Johnson. Best Constants in Moment Inequalities for Linear Combinations of Independent and Exchangeable Random Variables , 1985 .
[40] János Komlós,et al. On optimal matchings , 1984, Comb..
[41] P. Meyer. Transformations de riesz pour les lois gaussiennes , 1984 .
[42] H. Rosenthal. On the subspaces ofLp(p>2) spanned by sequences of independent random variables , 1970 .
[43] R. Dudley. The Speed of Mean Glivenko-Cantelli Convergence , 1969 .
[44] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.