Results 31 to 40 of about 24,182 (212)

A Comparison between Wasserstein Distance and a Distance Induced by Fisher-Rao Metric in Complex Shapes Clustering

open access: yesProceedings, 2017
Shape Analysis studies geometrical objects, as for example a flat fish in the plane or a human head in the space. The applications range from structural biology, computer vision, medical imaging to archaeology. We focus on the selection of an appropriate
Angela De Sanctis, Stefano A. Gattone
doaj   +1 more source

Extreme points of a ball about a measure with finite support [PDF]

open access: yes, 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

High-Dimensional Optimal Density Control with Wasserstein Metric Matching

open access: yes2023 62nd IEEE Conference on Decision and Control (CDC), 2023
8 pages, 4 figures.
Ma, Shaojun   +3 more
openaire   +2 more sources

Geometrical-Feature-Preserving Adjoint Tomography of Near-Surface Structure with Seismic Early Arrival

open access: yesShock and Vibration, 2022
Early arrival waveform inversion (EWI) is an essential approach to obtaining velocity structures in near-surface. Due to suffering from a cycle‐skipping issue, it is difficult to reach the global minima for conventional EWI with the misfit function of ...
Chao Zhang, Cheng Li, Jian Cai
doaj   +1 more source

Dataset Distillation via the Wasserstein Metric

open access: yes, 2023
Dataset Distillation (DD) aims to generate a compact synthetic dataset that enables models to achieve performance comparable to training on the full large dataset, significantly reducing computational costs. Drawing from optimal transport theory, we introduce WMDD (Wasserstein Metric-based Dataset Distillation), a straightforward yet powerful method ...
Liu, Haoyang   +7 more
openaire   +2 more sources

Using the Wasserstein distance to compare fields of pollutants: application to the radionuclide atmospheric dispersion of the Fukushima-Daiichi accident

open access: yesTellus: 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

Robust Multivehicle Tracking With Wasserstein Association Metric in Surveillance Videos

open access: yesIEEE 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

open access: yesModern 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

open access: yesEuropean Journal of Applied Mathematics
We 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

Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric

open access: yesEnergies, 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

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