Results 11 to 20 of about 1,379,735 (279)
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
openaire +2 more sources
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
openaire +3 more sources
Optimal Transport in Multilayer Networks for Traffic Flow Optimization
Algorithms, 2021 Modeling traffic distribution and extracting optimal flows in multilayer networks is of the utmost importance to design efficient, multi-modal network infrastructures.
Abdullahi Adinoyi Ibrahim +2 more
doaj +1 more source
Overrelaxed Sinkhorn–Knopp Algorithm for Regularized Optimal Transport
Algorithms, 2021 This article describes a set of methods for quickly computing the solution to the regularized optimal transport problem. It generalizes and improves upon the widely used iterative Bregman projections algorithm (or Sinkhorn–Knopp algorithm).
Alexis Thibault +3 more
doaj +1 more source
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
openaire +3 more sources
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
openaire +3 more sources
Autoregressive optimal transport models
Journal of the Royal Statistical Society Series B: Statistical Methodology, 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
Changbo Zhu, Hans-Georg Müller
openaire +3 more sources
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
doaj +1 more source
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
openaire +3 more sources
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
openaire +3 more sources