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Efficient Discretization of Optimal Transport
Entropy, 2023 Obtaining solutions to optimal transportation (OT) problems is typically intractable when marginal spaces are continuous. Recent research has focused on approximating continuous solutions with discretization methods based on i.i.d. sampling, and this has
Junqi Wang, Pei Wang, Patrick Shafto
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A Physicist’s View on Partial 3D Shape Matching
Algorithms, 2023 A new algorithm is presented to compute nonrigid, possibly partial comparisons of shapes defined by unstructured triangulations of their surfaces.
Patrice Koehl, Henri Orland
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Satellite Image Time Series Clustering via Time Adaptive Optimal Transport
Remote Sensing, 2021 Satellite Image Time Series (SITS) have become more accessible in recent years and SITS analysis has attracted increasing research interest. Given that labeled SITS training samples are time and effort consuming to acquire, clustering or unsupervised ...
Zheng Zhang +3 more
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Optimal transport with discrete long-range mean-field interactions [PDF]
Bulletin of Mathematical Sciences, 2020 We study an optimal transport problem where, at some intermediate time, the mass is either accelerated by an external force field or self-interacting.
Jiakun Liu, Grégoire Loeper
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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
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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
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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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Automatic Color Correction for Multisource Remote Sensing Images with Wasserstein CNN
Remote Sensing, 2017 In this paper a non-parametric model based on Wasserstein CNN is proposed for color correction. It is suitable for large-scale remote sensing image preprocessing from multiple sources under various viewing conditions, including illumination variances ...
Jiayi Guo +3 more
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Modélisation de répartition d’élèves et délimitation de secteurs scolaires en milieu urbain
Belgeo, 2017 In the midst of a school reform context and following its continuous population growth, the city of Lausanne had to re-examine various aspects of the management of its public schools.
Théophile Emmanouilidis
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Wasserstein Dissimilarity for Copula-Based Clustering of Time Series with Spatial Information
Mathematics, 2023 The clustering of time series with geo-referenced data requires a suitable dissimilarity matrix interpreting the comovements of the time series and taking into account the spatial constraints.
Alessia Benevento, Fabrizio Durante
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