Jean-Bernard Lasserre
- Nonlinear optimal control via occupation measures and LMI-relaxations
2007/03/13 by Jean-Bernard Lasserre, Lasserre, Jean-Bernard, Didier Henrion +5 · 8 citations
Mathematics · #28A99 #90C22 #93C10 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:28A99 #msc:90C22 #msc:93C10
- TSSOS: A Moment-SOS hierarchy that exploits term sparsity
2019/12/18 by Jie Wang, Victor Magron, Wang, Jie +4 · 11 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Complexity and Algorithms in Graphs #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #math.OC
- A max-cut formulation of 0/1 programs
2015/05/26 by Jean B. Lasserre, Jean-Bernard Lasserre, Lasserre, Jean-Bernard · 4 citations
Computer Science · Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Formal Methods in Verification #math.OC
- Nonnegative forms with sublevel sets of minimal volume
2019/09/24 by Khazhgali Kozhasov, Jean-Bernard Lasserre, Kozhasov, Khazhgali +1 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #math.AG #math.FA #math.OC
- A generalization of Löwner-John's ellipsoid theorem
2013/02/05 by Jean B. Lasserre, Jean-Bernard Lasserre, Lasserre, Jean-Bernard · 2 citations
Decision Sciences · Mathematics · #Advanced Optimization Algorithms Research #Combinatorics #Convex function #Convex optimization #Convex set #Degree (music) #Discrete mathematics #Ellipsoid #FOS: Mathematics #Function (biology) #Generalization #Geometry #Mathematical analysis #Mathematics #Optimization and Control (math.OC) #Physics #Point processes and geometric inequalities #Probabilistic and Robust Engineering Design #Regular polygon #Uniqueness #math.OC
- Positivity certificates and polynomial optimization on non-compact semialgebraic sets
2019/11/26 by Ngoc Hoang Anh, Mai, Ngoc Hoang Anh, Jean B. Lasserre +5 · 3 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Polynomial and algebraic computation #math.OC
- Exploiting Sparsity for Semi-Algebraic Set Volume Computation
2019/02/08 by Matteo Tacchi, Tillmann Weisser, Tacchi, Matteo +5 · 2 citations
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- A Sublevel Moment-SOS Hierarchy for Polynomial Optimization
2021/01/13 by Tong Chen, Jean B. Lasserre, Jean-Bernard Lasserre +6 · 2 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Commutative Algebra and Its Applications #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation #math.OC
- Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification
2021/06/02 by Tong Chen, Jean-Bernard Lasserre, Chen, Tong +6 · 2 citations
Computer Science · Decision Sciences · Mathematics · #Adversarial Robustness in Machine Learning #Markov Chains and Monte Carlo Methods #Probabilistic and Robust Engineering Design #math.OC
- A bounded degree SOS hierarchy for polynomial optimization
2015/01/25 by Jean-Bernard Lasserre, Lasserre, Jean-Bernard, Toh Kim-Chuan +3 · 1 citation
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- Semidefinite approximations of projections and polynomial images of semialgebraic sets
2015/07/22 by Victor Magron, Magron, Victor, Didier Henrion +3 · 1 citation
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity
2016/07/05 by Tillmann Weißer, Tillmann Weisser, Jean B. Lasserre +5 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Complexity and Algorithms in Graphs #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- Data analysis from empirical moments and the Christoffel function
2018/10/19 by Edouard Pauwels, Pauwels, Edouard, Mihai Putinar +4 · 1 citation
Chemistry · Computer Science · Mathematics · #Data Management and Algorithms #FOS: Computer and information sciences #Machine Learning (stat.ML) #Molecular spectroscopy and chirality #Topological and Geometric Data Analysis #stat.ML
- A hierarchy of spectral relaxations for polynomial optimization
2020/07/17 by Ngoc Hoang Anh Mai, Mai, Ngoc Hoang Anh, Victor Magron +3 · 1 citation
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- Exploiting constant trace property in large-scale polynomial optimization
2020/12/16 by Ngoc Hoang Anh Mai, Mai, Ngoc Hoang Anh, Jean-Bernard Lasserre +5 · 1 citation
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC
- Sorting out typicality with the inverse moment matrix SOS polynomial
2016/06/13 by Jean-Bernard Lasserre, Jean B. Lasserre, Lasserre, Jean-Bernard +2 · 1 citation
Computer Science · Engineering · #Anomaly Detection Techniques and Applications #FOS: Computer and information sciences #Machine Learning (cs.LG) #Network Security and Intrusion Detection #Optical Network Technologies #cs.LG
- Verifying Properties of Binary Neural Networks Using Sparse Polynomial Optimization
2024/05/27 by Jianting Yang, Srećko Ðurašinović, Yang, Jianting +7 · 1 citation
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #cs.LG #math.OC
- Moments and convex optimization for analysis and control of nonlinear partial differential equations
2018/04/20 by Milan Korda, Didier Henrion, Korda, Milan +4 · 1 citation
Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Analysis of PDEs (math.AP) #Control Systems and Identification #FOS: Mathematics #Optimization and Control (math.OC) #math.AP #math.OC