Results 21 to 30 of about 23,924 (195)
Distribution’s template estimate with Wasserstein metrics
Bernoulli, 2015 In this paper we tackle the problem of comparing distributions of random variables and defining a mean pattern between a sample of random events. Using barycenters of measures in the Wasserstein space, we propose an iterative version as an estimation of the mean distribution.
Boissard, Emmanuel +2 more
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Stein factors for negative binomial approximation in Wasserstein distance [PDF]
, 2015 The paper gives the bounds on the solutions to a Stein equation for the negative binomial distribution that are needed for approximation in terms of the Wasserstein metric.
Barbour, A. D., Gan, H. L., Xia, A.
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The exponential formula for the wasserstein metric [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 Many evolutionary partial differential equations may be rewritten as the gradient flow of an energy functional, a perspective which provides useful estimates on the behavior of solutions. The notion of gradient flow requires both the specification of an energy functional and a metric with respect to which the gradient is taken.
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Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric [PDF]
Proceedings of the American Mathematical Society, 2021 Persistence diagrams do not admit an inner product structure compatible with any Wasserstein metric. Hence, when applying kernel methods to persistence diagrams, the underlying feature map necessarily causes distortion. We prove persistence diagrams with the p-Wasserstein metric do not admit a coarse embedding into a Hilbert space when p > 2.
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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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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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Strong equivalence between metrics of Wasserstein type [PDF]
Electronic Communications in Probability, 2021 One more result is added. (The original paper appeared in Electronic Communications in Probability. The errata, which appears in this version appended together with the original paper, contains some new results demonstrating the extent to which the wrong statements hold.)
Bayraktar, Erhan, Guo, Gaoyue
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The Wasserstein Metric and Robustness in Risk Management
Risks, 2016 In the aftermath of the financial crisis, it was realized that the mathematical models used for the valuation of financial instruments and the quantification of risk inherent in portfolios consisting of these financial instruments exhibit a substantial ...
Rüdiger Kiesel +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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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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