Results 61 to 70 of about 23,924 (195)
Three superposition principles: currents, continuity equations and curves of measures
, 2015 We establish a general superposition principle for curves of measures solving a continuity equation on metric spaces without any smooth structure nor underlying measure, representing them as marginals of measures concentrated on the solutions of the ...
Stepanov, Eugene, Trevisan, Dario
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Esterification enhances carotenoid retention during bread‐making
Journal of the Science of Food and Agriculture, EarlyView.Abstract BACKGROUND Carotenoids are plant‐derived antioxidants that contribute to human health and represent key quality traits in wheat‐based foods. However, they are highly unstable and prone to degradation during processing. Xanthophyll esterification has been identified as a natural mechanism that enhances carotenoid stability during grain storage.
María D Requena‐Ramírez +3 more
wiley +1 more source
Applied SciencesSubdomain adaptation plays a significant role in the field of bearing fault diagnosis. It effectively aligns the pertinent distributions across subdomains and addresses the frequent issue of lacking local category information in domain adaptation ...
Haichao Cai +3 more
doaj +1 more source
Bounding adapted Wasserstein metrics
The Wasserstein distance $\mathcal{W}_p$ is an important instance of an optimal transport cost. Its numerous mathematical properties as well as applications to various fields such as mathematical finance and statistics have been well studied in recent years.
Blanchet, Jose +3 more
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Distributionally robust joint chance-constrained programming with Wasserstein metric
Optimization Methods and Software, 2023 In this paper, we develop an exact reformulation and a deterministic approximation for distributionally robust joint chance-constrained programmings (DRCCPs) with a general class of convex uncertain constraints under data-driven Wasserstein ambiguity sets.
Gu, Yining, Wang, Yanjun
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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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Metric Currents and Geometry of Wasserstein Spaces
Rendiconti del Seminario Matematico della Università di Padova, 2010 We investigate some geometric aspects of Wasserstein spaces through the continuity equation as worked out in mass transportation theory. By defining a suitable homology on the flat torus \mathbb T^n , we prove that the space
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Permutation invariant networks to learn Wasserstein metrics
, 2020 Understanding the space of probability measures on a metric space equipped with a Wasserstein distance is one of the fundamental questions in mathematical analysis. The Wasserstein metric has received a lot of attention in the machine learning community especially for its principled way of comparing distributions.
Sehanobish, Arijit +2 more
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Extending the Wasserstein metric to positive measures
, 2023 We define a metric in the space of positive finite positive measures that extends the 2-Wasserstein metric, i.e. its restriction to the set of probability measures is the 2-Wasserstein metric. We prove a dual and a dynamic formulation and extend the gradient flow machinery of the Wasserstein space. In addition, we relate the barycenter in this space to
Leblanc, Hugo +3 more
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