Alex Delalande

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All published works

Action	Title	Year	Authors
+	Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	2024	Guillaume Carlier Alex Delalande Quentin Mérigot
+ PDF Chat	Sharper Exponential Convergence Rates for Sinkhorn's Algorithm in Continuous Settings	2024	Lénaïc Chizat Alex Delalande Tomas Vaškevičius
+	Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	2024	Alex Delalande Guillaume Carlier Quentin Mérigot
+	Quantitative stability of optimal transport maps under variations of the target measure	2023	Alex Delalande Quentin Mérigot
+ PDF Chat	Quantitative stability of barycenters in the Wasserstein space	2023	Guillaume Carlier Alex Delalande Quentin Mérigot
+ PDF Chat	Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport	2022	Alex Delalande
+	Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport	2021	Alex Delalande
+	Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure	2021	Alex Delalande Quentin Mérigot
+ PDF Chat	Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space	2020	Quentin Mérigot Alex Delalande Frédéric Chazal
+	Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space	2019	Quentin Mérigot Alex Delalande Frédéric Chazal

Common Coauthors

Coauthor	Papers Together
Quentin Mérigot	6
Guillaume Carlier	3
Frédéric Chazal	2
Lénaïc Chizat	1
Tomas Vaškevičius	1
Quentin Mérigot	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Computational Optimal Transport: With Applications to Data Science	2019	Gabriel Peyré Marco Cuturi	3
+	Polar factorization and monotone rearrangement of vector‐valued functions	1991	Yann Brenier	3
+ PDF Chat	Barycenters in the Wasserstein Space	2011	Martial Agueh Guillaume Carlier	3
+ PDF Chat	Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT	2021	Guillaume Carlier Katharina Eichinger Alexey Kroshnin	2
+ PDF Chat	A continuous linear optimal transport approach for pattern analysis in image datasets	2015	Soheil Kolouri Akif Burak Tosun John A. Ozolek Gustavo K. Rohde	2
+	Optimal Transport for Applied Mathematicians	2015	Filippo Santambrogio	2
+ PDF Chat	Linearized optimal transport for collider events	2020	Tianji Cai Junyi Cheng Nathaniel Craig Katy Craig	2
+	On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation	1976	H. J. Brascamp Élliott H. Lieb	2
+	Unsupervised Multilingual Alignment using Wasserstein Barycenter	2020	Xin Lian Kshitij Jain Jakub Truszkowski Pascal Poupart Yaoliang Yu	2
+	THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION	2001	Félix Otto	2
+ PDF Chat	On the rate of convergence in Wasserstein distance of the empirical measure	2014	Nicolas Fournier Arnaud Guillin	2
+ PDF Chat	Computational Optimal Transport	2019	Gabriel Peyré Marco Cuturi	2
+ PDF Chat	Convergence of a Newton algorithm for semi-discrete optimal transport	2019	Jun Kitagawa Quentin Mérigot Boris Thibert	2
+	On the singularities of convex functions	1992	Giovanni Alberti Luigi Ambrosio Piermarco Cannarsa	1
+ PDF Chat	Formation of singularities for Hamilton-Jacobi equation, I	1983	Mikio Tsuji	1
+	Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert	1973	Haı̈m Brezis	1
+ PDF Chat	On the regularity of solutions of optimal transportation problems	2009	Grégoire Loeper	1
+ PDF Chat	Iterative Bregman Projections for Regularized Transportation Problems	2015	Jean‐David Benamou Guillaume Carlier Marco Cuturi Luca Nenna Gabriel Peyré	1
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	1
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	1
+ PDF Chat	The least action principle and the related concept of generalized flows for incompressible perfect fluids	1989	Yann Brenier	1
+ PDF Chat	The Monge–Ampère equation and its link to optimal transportation	2014	Guido De Philippis Alessio Figalli	1
+	Learnability, Stability and Uniform Convergence	2010	Shai Shalev‐Shwartz Ohad Shamir Nathan Srebro Karthik Sridharan	1
+	Distribution’s template estimate with Wasserstein metrics	2015	Emmanuel Boissard Thibaut Le Gouic Jean-Michel Loubès	1
+ PDF Chat	Logarithmically-Concave Moment Measures I	2014	Bo’az Klartag	1
+	Generalised Lagrangian Solutions for Atmospheric and Oceanic Flows	1991	M. J. P. Cullen John W. Norbury Robert James Purser	1
+ PDF Chat	A new algorithm for the assignment problem	1981	Dimitri P. Bertsekas	1
+	The Variational Formulation of the Fokker--Planck Equation	1998	Richard W. Jordan David Kinderlehrer Félix Otto	1
+ PDF Chat	The regularity of mappings with a convex potential	1992	Luis Caffarelli	1
+	Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications	1989	Piermarco Cannarsa H. Meté Soner	1
+	The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps	2008	Thierry Champion Luigi De Pascale Petri Juutinen	1
+ PDF Chat	Numerical methods for matching for teams and Wasserstein barycenters	2015	Guillaume Carlier Adam M. Oberman Èdouard Oudet	1
+ PDF Chat	A Numerical Algorithm for<i>L</i><sub>2</sub>Semi-Discrete Optimal Transport in 3D	2015	Bruno Lévy	1
+	Monge-Kantorovich depth, quantiles, ranks and signs	2015	Alfred Galichon Marc Hallin Victor Chernozhukov Marc Henry	1
+	Weak Convergence and Empirical Processes	1996	Aad van der Vaart Jon A. Wellner	1
+	Learning Probability Measures with respect to Optimal Transport Metrics	2012	Guillermo D. Cañas Lorenzo Rosasco	1
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb	1
+ PDF Chat	Existence and consistency of Wasserstein barycenters	2016	Thibaut Le Gouic Jean-Michel Loubès	1
+	Convexity of the support of the displacement interpolation: Counterexamples	2016	Filippo Santambrogio Xu‐Jia Wang	1
+ PDF Chat	On Hölder continuity-in-time of the optimal transport map towards measures along a curve	2011	Nicola Gigli	1
+	Boundary Regularity of Maps with Convex Potentials--II	1996	Luis Caffarelli	1
+	Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling	2015	Filippo Santambrogio	1
+ PDF Chat	Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary	2016	Alexander V. Kolesnikov Emanuel Milman	1
+	Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration	2017	Jason M. Altschuler Jonathan Weed Philippe Rigollet	1
+	A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations	2017	Thomas Gallouët Quentin Mérigot	1
+	Multilevel Clustering via Wasserstein Means	2017	Nhat Ho XuanLong Nguyen Mikhail Yurochkin Hung Bui Viet Huynh Dinh Phung	1
+	Fast Computation of Wasserstein Barycenters	2014	Marco Cuturi Arnaud Doucet	1
+	Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line	2018	Jérémie Bigot Raúl Gouet Thierry Klein Alfredo Quijano-López	1
+	High-Dimensional Probability: An Introduction with Applications in Data Science	2018	Roman Vershynin	1
+	Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape	2004	P. Thomas Fletcher C. Lu Stephen M. Pizer Shantanu Joshi	1