Chambolle, Antonin
- On Representer Theorems and Convex Regularization
2018/06/26 by Boyer, Claire, Chambolle, Antonin, De Castro, Yohann +3 · 9 citations
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Optimization and Control (math.OC)
- Total Roto-Translational Variation
2017/09/28 by Antonin Chambolle, Thomas Pock, Chambolle, Antonin +1 · 3 citations
Computer Science · Engineering · #Medical Image Segmentation Techniques #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques
- A Remark on the Anisotropic Outer Minkowski content
2012/03/23 by Chambolle, Antonin, Lisini, Stefano, Lussardi, Luca · 2 citations
#FOS: Mathematics #Numerical Analysis (math.NA)
- Backtracking strategies for accelerated descent methods with smooth\n composite objectives
2017/09/26 by Luca Calatroni, Antonin Chambolle, Calatroni, Luca +1 · 2 citations
Computer Science · Engineering · Mathematics · Medicine · #65F22 #90C25 #FOS: Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
- Existence and uniqueness for anisotropic and crystalline mean curvature flows
2017/02/09 by Antonin Chambolle, Massimiliano Morini, Chambolle, Antonin +5 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Point processes and geometric inequalities
- Continuous limits of discrete perimeters
2009/02/13 by Chambolle, Antonin, Giacomini, Alessandro, Lussardi, Luca · 1 citation
#49Q20 #65K10 #FOS: Mathematics #Numerical Analysis (math.NA)
- Consistency result for a non monotone scheme for anisotropic mean curvature flow
2010/05/26 by Bonnetier, Eric, Bretin, Elie, Chambolle, Antonin · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows
2022/12/09 by Antonin Chambolle, Chambolle, Antonin, Daniele De Gennaro +3 · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions
- Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes
2023/01/06 by Chambolle, Antonin, Delplancke, Claire, Ehrhardt, Matthias J. +2 · 2 citations
#47N10 #49J40 #65D18 #65K10 #90C06 #90C15 #90C25 #92C55 #94A08 #FOS: Mathematics #Optimization and Control (math.OC)
- Convergent plug-and-play with proximal denoiser and unconstrained regularization parameter
2023/11/02 by Samuel Hurault, Antonin Chambolle, Hurault, Samuel +5 · 3 citations
Engineering · #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Optimization and Control (math.OC) #Photoacoustic and Ultrasonic Imaging #Sparse and Compressive Sensing Techniques
- Some results on anisotropic fractional mean curvature flows
2016/03/23 by Chambolle, Antonin, Novaga, Matteo, Ruffini, Berardo · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications
2017/06/15 by Chambolle, Antonin, Ehrhardt, Matthias J., Richtárik, Peter +1 · 1 citation
#65D18 #65K10 #74S60 #90C15 #90C25 #92C55 #94A08 #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy
2017/10/05 by Chambolle, Antonin, Conti, Sergio, Iurlano, Flaviana · 1 citation
#Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA)
- Compactness and lower semicontinuity in GSBD
2018/02/08 by Chambolle, Antonin, Crismale, Vito · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)
- Product of Gaussian Mixture Diffusion Models
2023/10/19 by Martin Zach, Erich Kobler, Zach, Martin +5 · 2 citations
Computer Science · Mathematics · #FOS: Electrical engineering #Gaussian Processes and Bayesian Inference #Image and Signal Denoising Methods #Image and Video Processing (eess.IV) #Statistical Methods and Inference #electronic engineering #information engineering
- A Non-Local Mean Curvature Flow and its semi-implicit time-discrete\n approximation
2012/01/25 by Antonin Chambolle, Massimiliano Morini, Chambolle, Antonin +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Quantum chaos and dynamical systems
- On the Relation between Rectified Flows and Optimal Transport
2025/05/26 by Johannes Hertrich, Hertrich, Johannes, Antonin Chambolle +3 · 1 voice · 4 citations
Engineering · #Traffic control and management #cs.LG #math.PR #stat.ML
- Accelerated Bregman Primal-Dual methods applied to Optimal Transport and Wasserstein Barycenter problems
2022/03/02 by Antonin Chambolle, Juan Pablo Contreras, Chambolle, Antonin +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows
- Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
2022/02/22 by François Alouges, Alouges, François, Antonin Chambolle +3 · 1 citation
Materials Science · #49J45 #49S05 #76A15 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Liquid Crystal Research Advancements #Material Dynamics and Properties
- Variational approximation of size-mass energies for k-dimensional currents
2017/10/24 by Antonin Chambolle, Luca Alberto Davide Ferrari, Chambolle, Antonin +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows #Theoretical and Computational Physics
- A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
2024/12/20 by Bretin, Elie, Chambolle, Antonin, Masnou, Simon · 1 citation
#35A15 #35A35 #53E10 #53E40 #65M32 #74N20 #FOS: Mathematics #Optimization and Control (math.OC)