Results 31 to 40 of about 24,886 (258)
Optimal Transport for Gaussian Mixture Models
IEEE Access, 2019 We introduce an optimal mass transport framework on the space of Gaussian mixture models. These models are widely used in statistical inference. Specifically, we treat the Gaussian mixture models as a submanifold of probability densities equipped with ...
Yongxin Chen +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +4 more sources
Entropy production and the geometry of dissipative evolution equations [PDF]
, 2015 Purely dissipative evolution equations are often cast as gradient flow structures, $\dot{\mathbf{z}}=K(\mathbf{z})DS(\mathbf{z})$, where the variable $\mathbf{z}$ of interest evolves towards the maximum of a functional $S$ according to a metric defined ...
Reina, Celia, Zimmer, Johannes
core +3 more sources
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves [PDF]
, 2015 We discuss a new notion of distance on the space of finite and nonnegative measures which can be seen as a generalization of the well-known Kantorovich-Wasserstein distance.
Liero, Matthias +2 more
core +4 more sources
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
doaj +1 more source