Results 31 to 40 of about 23,924 (195)
A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
Forum of Mathematics, Sigma, 2020 We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO +2 more
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Journal of Modern Power Systems and Clean Energy, 2023 Quick-start generation units are critical devices and flexible resources to ensure a high penetration level of renewable energy in power systems. By considering the wind uncertainty and both binary and continuous decisions of quick-start generation units
Xiaodong Zheng +6 more
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High-Dimensional Optimal Density Control with Wasserstein Metric Matching
2023 62nd IEEE Conference on Decision and Control (CDC), 2023 8 pages, 4 figures.
Ma, Shaojun +3 more
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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
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Dataset Distillation via the Wasserstein Metric
, 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
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Shock 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
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Measure based metrics for aggregated data [PDF]
, 2011 Aggregated data arises commonly from surveys and censuses where groups of individuals are studied as coherent entities. The aggregated data can take many forms including sets, intervals, distributions and histograms. The data analyst needs to measure the
Rayward-Smith, V. J.
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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
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Geometrical interpretation of fluctuating hydrodynamics in diffusive systems [PDF]
, 2014 We discuss geometric formulations of hydrodynamic limits in diffusive systems. Specifically, we describe a geometrical construction in the space of density profiles --- the Wasserstein geometry --- which allows the deterministic hydrodynamic evolution of
Jack, Robert L., Zimmer, Johannes
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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
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