Calculating the Wasserstein Metric-Based Boltzmann Entropy of a Landscape Mosaic [PDF]
Entropy, 2020 Shannon entropy is currently the most popular method for quantifying the disorder or information of a spatial data set such as a landscape pattern and a cartographic map.
Hong Zhang +4 more
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Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing [PDF]
Entropy, 2021 The Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on the development of artificial intelligence (AI) and other branches of computer science.
Yihao Luo +3 more
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The Wasserstein Metric and Robustness in Risk Management [PDF]
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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Distributionally robust learning-to-rank under the Wasserstein metric [PDF]
PLoS ONE, 2023 Despite their satisfactory performance, most existing listwise Learning-To-Rank (LTR) models do not consider the crucial issue of robustness. A data set can be contaminated in various ways, including human error in labeling or annotation, distributional ...
Shahabeddin Sotudian +2 more
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Stein's method and Poisson process approximation for a class of Wasserstein metrics [PDF]
, 2009 Based on Stein's method, we derive upper bounds for Poisson process approximation in the $L_1$-Wasserstein metric $d_2^{(p)}$, which is based on a slightly adapted $L_p$-Wasserstein metric between point measures.
Schuhmacher, Dominic
core +4 more sources
Nonnegative matrix factorization with Wasserstein metric-based regularization for enhanced text embedding. [PDF]
PLoS ONEText embedding plays a crucial role in natural language processing (NLP). Among various approaches, nonnegative matrix factorization (NMF) is an effective method for this purpose.
Mingming Li +3 more
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A Comparison between Wasserstein Distance and a Distance Induced by Fisher-Rao Metric in Complex Shapes Clustering [PDF]
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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Residual Adversarial Subdomain Adaptation Network Based on Wasserstein Metrics for Intelligent Fault Diagnosis of Bearings [PDF]
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
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Wasserstein‐metric‐based distributionally robust optimization method for unit commitment considering wind turbine uncertainty [PDF]
Engineering Reports, 2023 The penetration of wind turbines in the power grid is increasing rapidly. Still, the wind turbine output power has uncertainty, leading to poor grid reliability, affecting the grid's dispatching plan, and increasing the total cost.
Gengrui Chen +5 more
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IEEE AccessFederated Learning (FL) enhances privacy but remains vulnerable to model poisoning attacks, where an adversary manipulates client models to upload poisoned updates during training, thereby compromising the overall FL model.
Suzan Almutairi, Ahmed Barnawi
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