Results 21 to 30 of about 3,027 (198)
Label Metric for Multi-Class Multi-Target Tracking under Hierarchical Multilevel Classification
Sensors, 2022 Aiming at multiple quantities and types of targets, multi-class multi-target tracking usually faces not only cardinality errors, but also mis-classification problems.
Jingdong Diao +3 more
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Joint geoacoustic inversion based on Pearson correlation coefficient constraints [PDF]
JASA Express Letters, 2023 This Letter proposes a joint geoacoustic inversion method for modal group velocity dispersion and amplitudes of waveform by incorporating a Pearson correlation constraint. Numerical simulations show that this joint inversion leads to improved geoacoustic
Jiaqi Ding, Xiaofeng Zhao, Pinglv Yang
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A Framework for Wasserstein-1-Type Metrics
CoRR, 2017 We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the convexity and computational efficiency from the Wasserstein-1 metric, and it includes several previous approaches from the literature as special cases.
Bernhard Schmitzer, Benedikt Wirth
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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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Proceedings, 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
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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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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
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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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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.
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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
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