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Optimal transportation theory for species interaction networks [PDF]
Ecology and Evolution, 2021 Observed biotic interactions between species, such as in pollination, predation, and competition, are determined by combinations of population densities, matching in functional traits and phenology among the organisms, and stochastic events (neutral ...
Michiel Stock +2 more
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Entropy-Regularized Optimal Transport on Multivariate Normal and q-normal Distributions
Entropy, 2021 The distance and divergence of the probability measures play a central role in statistics, machine learning, and many other related fields. The Wasserstein distance has received much attention in recent years because of its distinctions from other ...
Qijun Tong, Kei Kobayashi
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Inverse Optimal Transport [PDF]
SIAM Journal on Applied Mathematics, 2020 Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted by noise. In this paper we propose a systematic approach to infer unknown costs from noisy observations of optimal
Andrew M. Stuart, Marie-Therese Wolfram
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IEEE Transactions on Neural Systems and Rehabilitation Engineering, 2022 Electroencephalography-based Brain Computer Interfaces (BCIs) invariably have a degenerate performance due to the considerable individual variability.
Peiyin Chen +5 more
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A signed distance method for solving multi-objective transportation problems in fuzzy environment [PDF]
International Journal of Research in Industrial Engineering, 2019 This paper aims to study the multi-objective transportation problem with fuzzy parameters. These fuzzy parameters represented as (α, β) interval-valued fuzzy numbers instead of the normal fuzzy numbers.
H. Abd El-Wahed Khalifa
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Adaptive optimal transport [PDF]
Information and Inference: A Journal of the IMA, 2019 AbstractAn adaptive, adversarial methodology is developed for the optimal transport problem between two distributions $\mu $ and $\nu $, known only through a finite set of independent samples $(x_i)_{i=1..n}$ and $(y_j)_{j=1..m}$. The methodology automatically creates features that adapt to the data, thus avoiding reliance on a priori knowledge of the ...
Essid, Montacer +2 more
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SIAM Journal on Applied Mathematics, 2022 Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applications impose elementwise constraints on the transport plan which traditional optimal transport cannot enforce.
Cang, Zixuan, Nie, Qing, Zhao, Yanxiang
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Unnormalized optimal transport [PDF]
Journal of Computational Physics, 2019 We propose an extension of the computational fluid mechanics approach to the Monge-Kantorovich mass transfer problem, which was developed by Benamou-Brenier. Our extension allows optimal transfer of unnormalized and unequal masses. We obtain a one-parameter family of simple modifications of the formulation in [4].
Gangbo, Wilfrid +3 more
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Research on path selection system based on green transportation [PDF]
E3S Web of Conferences, 2021 The transportation sector already accounts for 14% of global greenhouse gas emissions. Therefore, controlling carbon emissions in the transportation sector has become a top priority for China and other countries around the world.
Qian Linyi
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Constrained Optimal Transport [PDF]
Archive for Rational Mechanics and Analysis, 2017 The classical duality theory of Kantorovich and Kellerer for the classical optimal transport is generalized to an abstract framework and a characterization of the dual elements is provided. This abstract generalization is set in a Banach lattice $\cal{X}$ with a order unit.
Ibrahim Ekren, H. Mete Soner
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