Results 11 to 20 of about 1,375,989 (278)
Optimal pricing for optimal transport [PDF]
Set-Valued and Variational Analysis, 2014 Suppose that $c(x,y)$ is the cost of transporting a unit of mass from $x\in X$ to $y\in Y$ and suppose that a mass distribution $\mu$ on $X$ is transported optimally (so that the total cost of transportation is minimal) to the mass distribution $\nu$ on $
Bartz, Sedi, Reich, Simeon
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Inverse optimal transport [PDF]
SIAM Journal on Applied Mathematics, 2019 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.
Stuart, Andrew M. +1 more
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Autoregressive optimal transport models. [PDF]
J R Stat Soc Series B Stat Methodol, 2023 Abstract Series of univariate distributions indexed by equally spaced time points are ubiquitous in applications and their analysis constitutes one of the challenges of the emerging field of distributional data analysis. To quantify such distributional time series, we propose a class of intrinsic autoregressive models that operate in the
Zhu C, Müller HG.
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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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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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DecOT: Bulk Deconvolution With Optimal Transport Loss Using a Single-Cell Reference
Frontiers in Genetics, 2022 Tissues are constituted of heterogeneous cell types. Although single-cell RNA sequencing has paved the way to a deeper understanding of organismal cellular composition, the high cost and technical noise have prevented its wide application.
Gan Liu, Xiuqin Liu, Liang Ma
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Semidual Regularized Optimal Transport [PDF]
SIAM Review, 2018 Variational problems that involve Wasserstein distances and more generally optimal transport (OT) theory are playing an increasingly important role in data sciences. Such problems can be used to form an examplar measure out of various probability measures, as in the Wasserstein barycenter problem, or to carry out parametric inference and density ...
Cuturi, Marco, Peyré, Gabriel
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Sliced optimal transport sampling [PDF]
ACM Transactions on Graphics, 2020 In this paper, we introduce a numerical technique to generate sample distributions in arbitrary dimension for improved accuracy of Monte Carlo integration. We point out that optimal transport offers theoretical bounds on Monte Carlo integration error, and that the recently-introduced numerical framework of sliced optimal transport (SOT ...
Paulin, Lois +6 more
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