Jérôme Bolte
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
2013/07/25 by Jérôme Bolte, Shoham Sabach, Marc Teboulle · 131 citations
Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Optimization and Variational Analysis
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods
2011/08/19 by Hedy Attouch, Hédy Attouch, Jérôme Bolte +2 · 113 citations
Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Numerical methods in inverse problems
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
2010/05/01 by Hédy Attouch, Jérôme Bolte, Patrick Redont +1 · 57 citations
Engineering · Mathematics · #Advanced Optimization Algorithms Research #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
- Proximal alternating minimization and projection methods for nonconvex\n problems. An approach based on the Kurdyka-Lojasiewicz inequality
2008/01/11 by Hédy Attouch, Jérôme Bolte, Attouch, Hedy +5 · 34 citations
Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Numerical methods in inverse problems #Optimization and Variational Analysis
- Conservative set valued fields, automatic differentiation, stochastic gradient method and deep learning
2019/09/23 by Jérôme Bolte, Edouard Pauwels, Bolte, Jérôme +1 · 16 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
- From error bounds to the complexity of first-order descent methods for convex functions
2016/11/30 by Jérôme Bolte, Trong Phong Nguyen, Juan Peypouquet +1 · 11 citations
Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Optimization and Variational Analysis
- First Order Methods beyond Convexity and Lipschitz Gradient Continuity\n with Applications to Quadratic Inverse Problems
2017/06/20 by Jérôme Bolte, Shoham Sabach, Bolte, Jérôme +5 · 8 citations
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
- From error bounds to the complexity of first-order descent methods for\n convex functions
2015/10/28 by Jérôme Bolte, Trong Phong Nguyen, Bolte, Jérôme +5 · 7 citations
Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Optimization and Variational Analysis
- Inexact subgradient methods for semialgebraic functions
2024/04/30 by Jérôme Bolte, Bolte, Jérôme, Tam Le +5 · 1 voice · 4 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Stochastic Gradient Optimization Techniques #math.OC #stat.ML
- Swarm gradient dynamics for global optimization: the mean-field limit case
2023/06/07 by Jérôme Bolte, Laurent Miclo, Stéphane Villeneuve · 3 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Topological and Geometric Data Analysis
- Characterizations of Lojasiewicz inequalities and applications
2008/02/06 by Jérôme Bolte, Bolte, Jerome, Aris Daniilidis +5 · 1 citation
Computer Science · Mathematics · #03C64 #26D10 #37N40 #49J52 #65K10. #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis
- Curiosities and counterexamples in smooth convex optimization
2020/01/22 by Jérôme Bolte, Bolte, Jerome, Edouard Pauwels +1 · 1 citation
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Stochastic Gradient Optimization Techniques
- Long term dynamics of the subgradient method for Lipschitz path\n differentiable functions
2020/05/29 by Jérôme Bolte, Edouard Pauwels, Bolte, Jerome +3 · 1 citation
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Iterative Methods for Nonlinear Equations
- When majority rules, minority loses: bias amplification of gradient descent
2025/05/19 by François Bachoc, Jérôme Bolte, Bachoc, François +6 · 1 voice · 1 citation
Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Optimization and Control (math.OC) #cs.AI #cs.LG #math.OC
- Geometric and computational hardness of bilevel programming
2024/07/17 by Jérôme Bolte, Bolte, Jérôme, Quoc-Tung Le +5 · 1 voice · 2 citations
#cs.CC #math.OC