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We propose a new method for smoothly interpolating probability measures using the geometry of optimal transport.
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“On Hölder continuity-in-time of the optimal transport map towards measures along a curve”
Nicola Gigli · 2011
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Nicola Gigli · 2012
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Marco Cuturi · 2013
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“Optimal transport for applied mathematicians” Calculus of variations, PDEs, and modeling 87
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Manfredo. do Carmo · 2016
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“On the Bures-Wasserstein distance between positive definite matrices”
Rajendra Bhatia, Tanvi Jain and Yongdo Lim · 2019
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“Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations”
J.. Carrillo and U. Vaes · 2019
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Alain Durmus, Szymon Majewski and Błażej Miasojedow · 2019
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Pierre-Yves Gousenbourger, Estelle Massart and P.-A. Absil · 2019
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“Minimax rates of estimation for smooth optimal transport maps”
Jan-Christian Hütter and Philippe Rigollet · 2019
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“Accelerating Langevin sampling with birth-death”
Yulong Lu, Jianfeng Lu and James Nolen · 2019
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“Geodesic PCA in the Wasserstein space by convex PCA”
Jérémie Bigot, Raúl Gouet, Thierry Klein and Alfredo López · 2017
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Klas Modin · 2017
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“Langevin Monte Carlo and JKO splitting” 75
Espen Bernton · 2018
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“Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line”
Jérémie Bigot, Raúl Gouet, Thierry Klein and Alfredo López · 2018
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“Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric”
Estelle Massart, Julien. Hendrickx and P.-A. Absil · 2019
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Gabriel Peyré and Marco Cuturi · 2019
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Philippe Rigollet and Jonathan Weed · 2019
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Geoffrey Schiebinger et al · 2019
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