Clustering  and  Model  Integration  under  the   Wasserstein  Metric Jia Li Department  of  Statistics Penn  State  University

Source URL: adapt.psu.edu

Ricci curvature of Markov chains on metric spaces Yann Ollivier Abstract We define the coarse Ricci curvature of metric spaces in terms of how much small balls are closer (in Wasserstein transportation distance) than

Source URL: www.yann-ollivier.org

Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric Domains Justin Solomon Stanford University Adrian Butscher Autodesk, Inc.

Source URL: www.iip.ist.i.kyoto-u.ac.jp

• Measure theory
• Algebraic topology
• Algebraic geometry
• Field theory
• Valuation
• Kullback–Leibler divergence
• Wasserstein metric
• Trigonometric functions
• Transportation theory
• Mathematical analysis
• Mathematics
• Abstract algebra

ON CHOOSING AND BOUNDING PROBABILITY METRICS ALISON L. GIBBS AND FRANCIS EDWARD SU Manuscript version January 2002 Abstract. When studying convergence of measures, an important issue is the choice of probability metric.

Source URL: www.math.hmc.edu

• Measure theory
• Metric geometry
• Mathematics
• Wasserstein metric
• Statistical distance
• Symbol
• Kullback–Leibler divergence
• Probability space
• Radon–Nikodym theorem
• Mathematical analysis
• Probability theory
• Statistics

WITNESSED K-DISTANCE LEONIDAS GUIBAS, DMITRIY MOROZOV, AND QUENTIN MÉRIGOT Abstract. Distance function to a compact set plays a central role in several areas of computational geometry. Methods that rely on it are robust

Source URL: quentin.mrgt.fr

• Support
• Normal distribution
• Measure
• Convolution
• Mathematical analysis
• Measure theory
• Wasserstein metric

Geometric Inference for Probability Measures Fr´ed´eric CHAZAL ∗ David COHEN-STEINER

Source URL: quentin.mrgt.fr

• Support
• Normal distribution
• Measure
• Convolution
• Mean
• Continuous function
• Transportation theory
• Open set
• Mathematical analysis
• Measure theory
• Wasserstein metric

A MULTISCALE APPROACH TO OPTIMAL TRANSPORT QUENTIN MÉRIGOT LABORATOIRE JEAN KUNTZMANN, UNIVERSITÉ DE GRENOBLE AND CNRS In this paper, we propose an improvement of an algorithm of Aurenhammer, Homann and Aronov to nd

Source URL: quentin.mrgt.fr

• Measure theory
• Wasserstein metric
• Transportation theory
• Partial differential equation
• Vector space
• Symbol
• Mathematical analysis
• Algebra
• Mathematics

FUNCTIONAL INEQUALITIES, LARGE DEVIATIONS & HYDRODYNAMICAL LIMITS: A TWO-SCALE APPROACH Newton Institute, 15 November 2010 C´

Source URL: www.newton.ac.uk

• Probability theory
• Wasserstein metric
• Radon–Nikodym theorem
• Mathematical analysis
• Measure theory
• Metric geometry

A Sharp Small Deviation Inequality for the Largest Eigenvalue of a Random Matrix Guillaume Aubrun ´ Universit´e de Paris 6, Institut de Math´ematiques, Equipe d’Analyse Fonctionnelle,

Source URL: math.univ-lyon1.fr

• Functional analysis
• Measure theory
• Hermite polynomials
• Polynomials
• Wasserstein metric
• Hilbert space
• Tracy–Widom distribution
• Lp space
• Sturm–Liouville theory
• Mathematical analysis
• Mathematics
• Operator theory

Journal of Mathematical Sciences, Vol. 000, No. 0, 2005 KANTOROVICH METRIC: INITIAL HISTORY AND LITTLE-KNOWN APPLICATIONS

Source URL: www.pdmi.ras.ru

• Transportation theory
• Wasserstein metric
• Support
• Measure
• Invariant measure
• Statistical distance
• Linear programming
• Product measure
• Convergence of measures
• Mathematical analysis
• Measure theory
• Leonid Kantorovich