Edouard Pauwels

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All published works

Action	Title	Year	Authors
+	On the nature of Bregman functions	2024	Edouard Pauwels
+	On the sequential convergence of Lloyd's algorithms	2024	Léo Portales Elsa Cazelles Edouard Pauwels
+ PDF Chat	Derivatives of Stochastic Gradient Descent	2024	Franck Iutzeler Edouard Pauwels Samuel Vaiter
+ PDF Chat	Inexact subgradient methods for semialgebraic functions	2024	Jérôme Bolte Tam Le Éric Moulines Edouard Pauwels
+	Generic Fréchet stationarity in constrained optimization	2024	Edouard Pauwels
+ PDF Chat	Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems	2024	Jérôme Bolte Edouard Pauwels Antonio Silveti-Falls
+ PDF Chat	Subgradient Sampling for Nonsmooth Nonconvex Minimization	2023	Jérôme Bolte Tam Le Edouard Pauwels
+ PDF Chat	The Derivatives of Sinkhorn–Knopp Converge	2023	Edouard Pauwels Samuel Vaiter
+ PDF Chat	Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems	2023	Edouard Pauwels
+	Long term dynamics of the subgradient method for Lipschitz path differentiable functions	2022	Jérôme Bolte Edouard Pauwels Rodolfo Ríos-Zertuche
+ PDF Chat	Path differentiability of ODE flows	2022	Swann Marx Edouard Pauwels
+ PDF Chat	The derivatives of Sinkhorn-Knopp converge	2022	Edouard Pauwels Samuel Vaiter
+	On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping	2022	Marián Fabian Jean‐Baptiste Hiriart‐Urruty Edouard Pauwels
+ PDF Chat	Nonsmooth automatic differentiation: a cheap gradient principle and other complexity results	2022	Jérôme Bolte Ryan Boustany Edouard Pauwels Béatrice Pesquet‐Popescu
+	The Christoffel–Darboux Kernel for Data Analysis	2022	Jean B. Lasserre Edouard Pauwels Mihai Putinar
+	Transforms of Christoffel–Darboux Kernels	2022	Jean B. Lasserre Edouard Pauwels Mihai Putinar
+	Spectral Characterization and Extensions of the Christoffel Function	2022	Jean B. Lasserre Edouard Pauwels Mihai Putinar
+ PDF Chat	The ridge method for tame min-max problems	2022	Edouard Pauwels
+ PDF Chat	The ridge method for tame min-max problems	2022	Edouard Pauwels
+ PDF Chat	The ridge method for tame min-max problems	2022	Edouard Pauwels
+	Second-Order Step-Size Tuning of SGD for Non-Convex Optimization	2022	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels
+ PDF Chat	Rate of convergence for geometric inference based on the empirical Christoffel function	2022	Mai Trang Vu François Bachoc Edouard Pauwels
+	Path differentiability of ODE flows	2022	Swann Marx Edouard Pauwels
+	Automatic differentiation of nonsmooth iterative algorithms	2022	Jérôme Bolte Edouard Pauwels Samuel Vaiter
+	The derivatives of Sinkhorn-Knopp converge	2022	Edouard Pauwels Samuel Vaiter
+	Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems	2022	Jérôme Bolte Edouard Pauwels Antonio José Silveti-Falls
+	On the complexity of nonsmooth automatic differentiation	2022	Jérôme Bolte Ryan Boustany Edouard Pauwels Béatrice Pesquet‐Popescu
+ PDF Chat	A sublevel moment-SOS hierarchy for polynomial optimization	2021	Tong Chen Jean B. Lasserre Victor Magron Edouard Pauwels
+ PDF Chat	Curiosities and counterexamples in smooth convex optimization	2021	Jérôme Bolte Edouard Pauwels
+ PDF Chat	Incremental Without Replacement Sampling in Nonconvex Optimization	2021	Edouard Pauwels
+ PDF Chat	Semi-algebraic Approximation Using Christoffel–Darboux Kernel	2021	Swann Marx Edouard Pauwels Tillmann Weißer Didier Henrion Jean B. Lasserre
+ PDF Chat	The ridge method for tame min-max problems	2021	Edouard Pauwels
+ PDF Chat	The ridge method for tame min-max problems	2021	Edouard Pauwels
+ PDF Chat	The ridge method for tame min-max problems	2021	Edouard Pauwels
+	A Sublevel Moment-SOS Hierarchy for Polynomial Optimization	2021	Tong Chen Jean B. Lasserre Victor Magron Edouard Pauwels
+ PDF Chat	An Inertial Newton Algorithm for Deep Learning	2021	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels
+	Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification	2021	Tong Chen Jean B. Lasserre Victor Magron Edouard Pauwels
+	Nonsmooth Implicit Differentiation for Machine Learning and Optimization	2021	Jérôme Bolte Tam Le Edouard Pauwels Antonio Silveti-Falls
+ PDF Chat	An Inertial Newton Algorithm for Deep Learning	2021	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels
+	Numerical influence of ReLU'(0) on backpropagation	2021	David Bertoin Jérôme Bolte Sébastien Gerchinovitz Edouard Pauwels
+	Incremental Without Replacement Sampling in Nonconvex Optimization	2020	Edouard Pauwels
+ PDF Chat	Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning	2020	Jérôme Bolte Edouard Pauwels
+	Conservative set valued fields, automatic differentiation, stochastic gradient method and deep learning	2020	Jérôme Bolte Edouard Pauwels
+ PDF Chat	Data Analysis from Empirical Moments and the Christoffel Function	2020	Edouard Pauwels Mihai Putinar Jean B. Lasserre
+	Polynomial Optimization for Bounding Lipschitz Constants of Deep Networks	2020	Tong Chen Jean B. Lasserre Victor Magron Edouard Pauwels
+	A mathematical model for automatic differentiation in machine learning	2020	Jérôme Bolte Edouard Pauwels
+	A Hölderian backtracking method for min-max and min-min problems	2020	Jérôme Bolte Lilian E. Glaudin Edouard Pauwels Mathieu Serrurier
+	Sequential convergence of AdaGrad algorithm for smooth convex optimization	2020	Cheik Traoré Edouard Pauwels
+	Long term dynamics of the subgradient method for Lipschitz path differentiable functions	2020	Jérôme Bolte Edouard Pauwels Rodolfo Ríos-Zertuche
+ PDF Chat	An Inertial Newton Algorithm for Deep Learning	2019	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels
+	Semi-algebraic approximation using Christoffel-Darboux kernel	2019	Swann Marx Edouard Pauwels Tillmann Weißer Didier Henrion Jean B. Lasserre
+ PDF Chat	Tractable semi-algebraic approximation using Christoffel-Darboux kernel	2019	Swann Marx Edouard Pauwels Tillmann Weißer Didier Henrion Jean B. Lasserre
+ PDF Chat	The multiproximal linearization method for convex composite problems	2019	Jérôme Bolte Zheng Chen Edouard Pauwels
+ PDF Chat	The empirical Christoffel function with applications in data analysis	2019	Jean B. Lasserre Edouard Pauwels
+	An Inertial Newton Algorithm for Deep Learning	2019	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels
+	Rate of convergence for geometric inference based on the empirical Christoffel function	2019	Mai Trang Vu François Bachoc Edouard Pauwels
+ PDF Chat	An unexpected connection between Bayes A-optimal designs and the group lasso	2018	Guillaume Sagnol Edouard Pauwels
+ PDF Chat	An unexpected connection between Bayes $A-$optimal designs and the Group Lasso	2018	Guillaume Sagnol Edouard Pauwels
+ PDF Chat	Qualification Conditions in Semi-algebraic Programming	2018	Jérôme Bolte Antoine Hochart Edouard Pauwels
+ PDF Chat	Qualification Conditions in Semialgebraic Programming	2018	Jérôme Bolte Antoine Hochart Edouard Pauwels
+	Relating Leverage Scores and Density using Regularized Christoffel Functions	2018	Edouard Pauwels Francis R. Bach Jean‐Philippe Vert
+	An unexpected connection between Bayes $A-$optimal designs and the Group Lasso	2018	Guillaume Sagnol Edouard Pauwels
+ PDF Chat	On Fienup Methods for Sparse Phase Retrieval	2017	Edouard Pauwels Amir Beck Yonina C. Eldar Shoham Sabach
+ PDF Chat	Chapter 10: Conic Linear Optimization for Nonlinear Optimal Control	2017	Didier Henrion Edouard Pauwels
+	The empirical Christoffel function with applications in Machine Learning	2017	Jean B. Lasserre Edouard Pauwels
+	The empirical Christoffel function with applications in data analysis	2017	Jean B. Lasserre Edouard Pauwels
+	The empirical Christoffel function with applications in data analysis	2017	Jean B. Lasserre Edouard Pauwels
+ PDF Chat	Majorization-Minimization Procedures and Convergence of SQP Methods for Semi-Algebraic and Tame Programs	2016	Jérôme Bolte Edouard Pauwels
+	Sorting out typicality with the inverse moment matrix SOS polynomial	2016	Jean B. Lasserre Edouard Pauwels
+	Extragradient Method in Optimization: Convergence and Complexity	2016	Trong Phong Nguyen Edouard Pauwels Émile Richard Bruce W. Suter
+ PDF Chat	Linear Conic Optimization for Inverse Optimal Control	2016	Edouard Pauwels Didier Henrion Jean B. Lasserre
+	The value function approach to convergence analysis in composite optimization	2016	Edouard Pauwels
+	The Cyclic Block Conditional Gradient Method for Convex Optimization Problems	2015	Amir Beck Edouard Pauwels Shoham Sabach
+ PDF Chat	Inverse optimal control with polynomial optimization	2014	Edouard Pauwels Didier Henrion Jean B. Lasserre
+	Majorization-minimization procedures and convergence of SQP methods for semi-algebraic and tame programs	2014	Jérôme Bolte Edouard Pauwels
+ PDF Chat	Linear conic optimization for nonlinear optimal control	2014	Didier Henrion Edouard Pauwels
+	Majorization-minimization procedures and convergence of SQP methods for semi-algebraic and tame programs	2014	Jérôme Bolte Edouard Pauwels

Common Coauthors

Coauthor	Papers Together
Jérôme Bolte	27
Jean–Bernard Lasserre	18
Didier Henrion	7
Cédric Févotte	5
Camille Castera	5
Swann Marx	5
Samuel Vaiter	5
Mihai Putinar	4
Victor Magron	4
Tam Le	3
Tillmann Weißer	3
Guillaume Sagnol	3
Ryan Boustany	2
Amir Beck	2
Shoham Sabach	2
Antonio Silveti-Falls	2
Mai Trang Vu	2
Antoine Hochart	2
Rodolfo Ríos-Zertuche	2
Béatrice Pesquet‐Popescu	2
François Bachoc	2
Francis R. Bach	1
Tong Chen	1
Antonio José Silveti-Falls	1
Mathieu Serrurier	1
Yonina C. Eldar	1
Lilian E. Glaudin	1
Elsa Cazelles	1
Trong Phong Nguyen	1
David Bertoin	1
Marián Fabián	1
Zheng Chen	1
Sébastien Gerchinovitz	1
Émile Richard	1
Tong Chen	1
Jean‐Philippe Vert	1
Cheik Traoré	1
Bruce W. Suter	1
Franck Iutzeler	1
Jean‐Baptiste Hiriart‐Urruty	1
Tong Chen	1
Tong Chen	1
Éric Moulines	1
Léo Portales	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Clarke Subgradients of Stratifiable Functions	2007	Jérôme Bolte Aris Daniilidis Adrian S. Lewis Masahiro Shiota	15
+	Proximal alternating linearized minimization for nonconvex and nonsmooth problems	2013	Jérôme Bolte Shoham Sabach Marc Teboulle	12
+	Geometric categories and o-minimal structures	1996	Lou van den Dries Chris Miller	12
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	12
+ PDF Chat	Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning	2020	Jérôme Bolte Edouard Pauwels	12
+ PDF Chat	Stochastic Subgradient Method Converges on Tame Functions	2019	Damek Davis Dmitriy Drusvyatskiy Sham M. Kakade Jason D. Lee	12
+	AN INTRODUCTION TO O-MINIMAL GEOMETRY	2002	Michel Coste	9
+ PDF Chat	Orthogonal Polynomials of Several Variables	2014	Charles F. Dunkl Yuan Xu	8
+	Global Optimization with Polynomials and the Problem of Moments	2001	Jean B. Lasserre	8
+ PDF Chat	Dynamics of stochastic approximation algorithms	1999	Michel Benaı̈m	7
+ PDF Chat	Differential inclusions set-valued maps and viability theory	1986	Jean Aubin A. Cellina	7
+ PDF Chat	Generalized subdifferentials: a Baire categorical approach	2001	Jonathan M. Borwein Warren B. Moors Xianfu Wang	6
+ PDF Chat	Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials	2012	András Kroó D. S. Lubinsky	6
+	Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation	1987	Andreas Griewank Andrea Walther	6
+	Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods	2011	Hédy Attouch Jérôme Bolte B. F. Svaiter	6
+	Bergman polynomials on an archipelago: Estimates, zeros and shape reconstruction	2009	Björn Gustafsson Mihai Putinar Edward B. Saff Nikos Stylianopoulos	6
+	Optimization Methods for Large-Scale Machine Learning	2018	Léon Bottou Frank E. Curtis Jorge Nocedal	6
+ PDF Chat	A Chain Rule for Essentially Smooth Lipschitz Functions	1998	Jonathan M. Borwein Warren B. Moors	6
+ PDF Chat	An Inertial Newton Algorithm for Deep Learning	2019	Camille Castera Jérôme Bolte Cédric Févotte Edouard Pauwels	6
+ PDF Chat	On gradients of functions definable in o-minimal structures	1998	Krzysztof Kurdyka	6
+	Variational Analysis	1998	R. T. Rockafellar Roger J.‐B. Wets	6
+	The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems	2007	Jérôme Bolte Aris Daniilidis Adrian S. Lewis	6
+	Moments, Positive Polynomials and Their Applications	2009	Jean B. Lasserre	6
+	A mathematical model for automatic differentiation in machine learning	2020	Jérôme Bolte Edouard Pauwels	5
+	Implicit Functions and Solution Mappings	2014	Asen L. Dontchev R. T. Rockafellar	5
+	A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems	2009	Amir Beck Marc Teboulle	5
+	An Extended Sequential Quadratically Constrained Quadratic Programming Algorithm for Nonlinear, Semidefinite, and Second-Order Cone Programming	2012	A. Auslender	5
+	AN INTRODUCTION TO SEMIALGEBRAIC GEOMETRY	2002	Michel Coste	5
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy	5
+	Sorting out typicality with the inverse moment matrix SOS polynomial	2016	Jean B. Lasserre Edouard Pauwels	5
+ PDF Chat	Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality	2010	Hédy Attouch Jérôme Bolte Patrick Redont Antoine Soubeyran	5
+ PDF Chat	Orthogonal Polynomials	1971		5
+	Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations	2008	Jean B. Lasserre Didier Henrion Christophe Prieur Emmanuel Trélat	5
+	Introductory Lectures on Convex Optimization: A Basic Course	2014	Ю Е Нестеров	5
+ PDF Chat	Convergence of Constant Step Stochastic Gradient Descent for Non-Smooth Non-Convex Functions	2022	Pascal Bianchi Walid Hachem Sholom Schechtman	5
+	Asymptotics for Christoffel functions for general measures on the real line	2000	Вилмос Тотик	4
+	Bernstein's Inequality in L p for 0 < p < 1 and (C, 1) Bounds for Orthogonal Polynomials	1980	Attila Máté Paul Nevai	4
+	Géza Freud, orthogonal polynomials and Christoffel functions. A case study	1986	Paul Nevai	4
+	Szego's Extremum Problem on the Unit Circle	1991	Attila Máté Paul Nevai Вилмос Тотик	4
+	Convex Optimization	2004	Stephen Boyd Lieven Vandenberghe	4
+	Convex Duality and Nonlinear Optimal Control	1993	Richard Vinter	4
+	Detection of Abnormal Behavior Via Nonparametric Estimation of the Support	1980	Luc Devroye G.L. Wise	4
+	Local convex hull support and boundary estimation	2016	Catherine Aaron Olivier Bodart	4
+	On Poincaré cone property	2014	Alejandro Cholaquidis Antonio Cuevas Ricardo Fraiman	4
+ PDF Chat	Measures with zeros in the inverse of their moment matrix	2008	J. William Helton Jean B. Lasserre Mihai Putinar	4
+	Mirror descent and nonlinear projected subgradient methods for convex optimization	2003	Amir Beck Marc Teboulle	4
+	Asymptotics of the Christoffel Functions on a Simplex in Rd	1999	Yuan Xu	4
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	4
+ PDF Chat	Proximal Splitting Methods in Signal Processing	2011	Patrick L. Combettes Jean‐Christophe Pesquet	4
+	A theorem of the complement and some new o-minimal structures	1999	A. J. Wilkie	4