Results 41 to 50 of about 32,144 (182)
Dimensional contraction via Markov transportation distance [PDF]
, 2013 It is now well known that curvature conditions \`a la Bakry-Emery are equivalent to contraction properties of the heat semigroup with respect to the classical quadratic Wasserstein distance.
Bolley, François +2 more
core +5 more sources
Hierarchical Sliced Wasserstein Distance
, 2022 Accepted to ICLR 2023, 29 pages, 8 figures, 3 tables,
Nguyen, Khai +5 more
openaire +2 more sources
Open-Set Signal Recognition Based on Transformer and Wasserstein Distance
Applied Sciences, 2023 Open-set signal recognition provides a new approach for verifying the robustness of models by introducing novel unknown signal classes into the model testing and breaking the conventional closed-set assumption, which has become very popular in real-world
Wei Zhang +4 more
doaj +1 more source
Lidar Upsampling With Sliced Wasserstein Distance
IEEE Robotics and Automation Letters, 2023 Lidar became an important component of the perception systems in autonomous driving. But challenges of training data acquisition and annotation made emphasized the role of the sensor to sensor domain adaptation. In this work, we address the problem of lidar upsampling.
Artem Savkin +4 more
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Generating Adversarial Samples With Constrained Wasserstein Distance
IEEE Access, 2019 In recent years, deep neural network (DNN) approaches prove to be useful in many machine learning tasks, including classification. However, small perturbations that are carefully crafted by attackers can lead to the misclassification of the images ...
Kedi Wang, Ping Yi, Futai Zou, Yue Wu
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Proxying credit curves via Wasserstein distances
Annals of Operations Research, 2022 AbstractCredit risk plays a key role in financial modeling, and financial institutions are required to incorporate it in their pricing, as well as in capital requirement calculations. A common manner to extract credit worthiness information for existing and potential counterparties is based on the Credit Default Swap (CDS) market.
Matteo Michielon +2 more
openaire +6 more sources
Graded persistence diagrams and persistence landscapes
, 2021 We introduce a refinement of the persistence diagram, the graded persistence diagram. It is the Mobius inversion of the graded rank function, which is obtained from the rank function using the unary numeral system.
Betthauser, Leo +2 more
core
, 2019 The Wasserstein distance is a powerful metric based on the theory of optimal transport. It gives a natural measure of the distance between two distributions with a wide range of applications. In contrast to a number of the common divergences on distributions such as Kullback-Leibler or Jensen-Shannon, it is (weakly) continuous, and thus ideal for ...
Oh, Jung Hun +5 more
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On Properties of the Generalized Wasserstein Distance [PDF]
Archive for Rational Mechanics and Analysis, 2016 The Wasserstein distances $W_p$ ($p\geq 1$), defined in terms of solution to the Monge-Kantorovich problem, are known to be a useful tool to investigate transport equations. In particular, the Benamou-Brenier formula characterizes the square of the Wasserstein distance $W_2$ as the infimum of the kinetic energy, or action functional, of all vector ...
Piccoli, Benedetto, Rossi, Francesco
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MRWM: A Multiple Residual Wasserstein Driven Model for Image Denoising
IEEE Access, 2022 Residual histograms can provide valuable information for vision research. However, current image restoration methods have not fully exploited the potential of multiple residual histograms, especially their role as overall regularization constraints.
Rui-Qiang He, Wang-Sen Lan, Fang Liu
doaj +1 more source