Results 41 to 50 of about 24,886 (258)
Extreme points of a ball about a measure with finite support [PDF]
, 2016 We show that, for the space of Borel probability measures on a Borel subset of a Polish metric space, the extreme points of the Prokhorov, Monge-Wasserstein and Kantorovich metric balls about a measure whose support has at most n points, consist of ...
Owhadi, Houman, Scovel, Clint
core +2 more sources
Approximation of Parabolic Equations Using the Wasserstein Metric [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 1999 Starting with new variational principles for parabolic initial-boundary value problems, the authors study their use for the numerical approximation. The key step is the introduction of the Wasserstein metric that gives a weak-\(*\)-topology on bounded sets of measures. For the time discretization, a new semi-discrete approximation is used.
Kinderlehrer, David, Walkington, Noel J.
openaire +1 more source
Nonlocal Wasserstein distance: metric and asymptotic properties
Calculus of Variations and Partial Differential Equations, 2023 AbstractThe seminal result of Benamou and Brenier provides a characterization of the Wasserstein distance as the path of the minimal action in the space of probability measures, where paths are solutions of the continuity equation and the action is the kinetic energy.
Dejan Slepčev, Andrew Warren
openaire +2 more sources
Tellus: Series B, Chemical and Physical Meteorology, 2016 The verification of simulations against data and the comparison of model simulation of pollutant fields rely on the critical choice of statistical indicators. Most of the scores are based on point-wise, that is, local, value comparison.
Alban Farchi +4 more
doaj +1 more source
A class of Wasserstein metrics for probability distributions.
Michigan Mathematical Journal, 1984 Let (S,d) be a complete separable metric space and \({\mathfrak X}\) be the space of all S-valued random variables given on a probability space without atoms. Let \({\mathfrak M}_ p(p\geq 1)\) be the space of all Borel probability measures P on S with finite p-moment, i.e. \(\int_{S}d^ P(x,a)P(dx)
Givens, Clark R., Shortt, Rae Michael
openaire +2 more sources
Robust Multivehicle Tracking With Wasserstein Association Metric in Surveillance Videos
IEEE Access, 2020 Vehicle tracking based on surveillance videos is of great significance in the highway traffic monitoring field. In real-world vehicle-tracking applications, partial occlusion and objects with similarly appearing distractors pose significant challenges ...
Yanjie Zeng +5 more
doaj +1 more source
Estimation of the drift parameter for the fractional stochastic heat equation via power variation
Modern Stochastics: Theory and Applications, 2019 We define power variation estimators for the drift parameter of the stochastic heat equation with the fractional Laplacian and an additive Gaussian noise which is white in time and white or correlated in space.
Zeina Mahdi Khalil, Ciprian Tudor
doaj +1 more source
Homogenisation of Wasserstein gradient flows
European Journal of Applied MathematicsWe prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory manner.
Yuan Gao, Nung Kwan Yip
doaj +1 more source
Energies, 2022 This paper proposes a distributed robust multi-energy dynamic optimal power flow (DR-DOPF) model to overcome the uncertainty of new energy outputs and to reduce water spillage in hydropower plants.
Gengli Song, Hua Wei
doaj +1 more source
Metrics for matrix-valued measures via test functions
, 2014 It is perhaps not widely recognized that certain common notions of distance between probability measures have an alternative dual interpretation which compares corresponding functionals against suitable families of test functions.
Georgiou, Tryphon T., Ning, Lipeng
core +1 more source