Results 71 to 80 of about 24,886 (258)
Wasserstein Divergence for GANs
, 2018 In many domains of computer vision, generative adversarial networks (GANs) have achieved great success, among which the family of Wasserstein GANs (WGANs) is considered to be state-of-the-art due to the theoretical contributions and competitive ...
Acharya, Dinesh +4 more
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On the Minimax Optimality of Estimating the Wasserstein Metric
CoRR, 2019 We study the minimax optimal rate for estimating the Wasserstein-$1$ metric between two unknown probability measures based on $n$ i.i.d. empirical samples from them. We show that estimating the Wasserstein metric itself between probability measures, is not significantly easier than estimating the probability measures under the Wasserstein metric.
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A note on the Bures-Wasserstein metric
, 2023 In this brief note, it is shown that the Bures-Wasserstein (BW) metric on the space positive definite matrices lends itself to convex optimization. In other words, the computation of the BW metric can be posed as a convex optimization problem. In turn, this leads to efficient computations of (i) the BW distance between convex subsets of positive ...
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2D Implementation of Kinetic‐Diffusion Monte Carlo in Eiron
Contributions to Plasma Physics, EarlyView.ABSTRACT Particle‐based kinetic Monte Carlo simulations of neutral particles are one of the major computational bottlenecks in tokamak scrape‐off layer simulations. This computational cost comes from the need to resolve individual collision events in high‐collisional regimes.
Oskar Lappi +3 more
wiley +1 more source
A View on Optimal Transport from Noncommutative Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem, and the spectral distance of noncommutative geometry.
Francesco D'Andrea, Pierre Martinetti
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Distribution-on-Distribution Regression with Wasserstein Metric: Multivariate Gaussian Case [PDF]
, 2023 Ryo Okano, Masaaki Imaizumi
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Conditional Generative Modeling for Enhanced Credit Risk Management in Supply Chain Finance
Naval Research Logistics (NRL), EarlyView.ABSTRACT The rapid expansion of cross‐border e‐commerce (CBEC) has created significant opportunities for small‐ and medium‐sized sellers, yet financing remains a critical challenge due to their limited credit histories. Third‐party logistics (3PL)‐led supply chain finance (SCF) has emerged as a promising solution, leveraging in‐transit inventory as ...
Qingkai Zhang, L. Jeff Hong, Houmin Yan
wiley +1 more source
, 2017 We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete) probability ...
Esfahani, Peyman Mohajerin, Kuhn, Daniel
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People and Nature, EarlyView.Abstract High aggregate levels of wildlife consumption in cities in Central Africa highlight the need for solutions that balance wildlife protection, local livelihoods and the relational values between people and nature. This study explores the impacts of demand‐ and supply‐side interventions on wild meat consumption through two randomized control ...
Abdoulaye Cisse +2 more
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Application of the Wasserstein metric to seismic signals [PDF]
Communications in Mathematical Sciences, 2014 Seismic signals are typically compared using travel time difference or $L_2$ difference. We propose the Wasserstein metric as an alternative measure of fidelity or misfit in seismology. It exhibits properties from both of the traditional measures mentioned above. The numerical computation is based on the recent development of fast numerical methods for
Engquist, Bjorn, Froese, Brittany D.
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