Darbon, Jérôme

1. Optimizing the Optimizer for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks
   2025/01/22 by Kiyani, Elham, Shukla, Khemraj, Urbán, Jorge F. +2 · 13 citations
   #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
2. Algorithms for Overcoming the Curse of Dimensionality for Certain Hamilton-Jacobi Equations Arising in Control Theory and Elsewhere
   2016/05/06 by Jérôme Darbon, Stanley Osher, Darbon, Jérôme +1 · 2 citations
   Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
3. A Caputo fractional derivative-based algorithm for optimization
   2021/04/06 by Yeonjong Shin, Jérôme Darbon, Shin, Yeonjong +3 · 2 citations
   Computer Science · Engineering · Mathematics · #26A33 #65B99 #65K05 #Advanced Control Systems Design #FOS: Computer and information sciences #FOS: Mathematics #Fractional Differential Equations Solutions #Machine Learning (cs.LG) #Metaheuristic Optimization Algorithms Research #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
4. Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems
   2021/09/30 by Chen, Paula, Darbon, Jérôme, Meng, Tingwei · 1 citation
   #FOS: Mathematics #Optimization and Control (math.OC)
5. Hopf-type representation formulas and efficient algorithms for certain high-dimensional optimal control problems
   2021/10/06 by Paula Chen, Jérôme Darbon, Chen, Paula +3 · 1 citation
   Engineering · Mathematics · Physics and Astronomy · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #FOS: Mathematics #Model Reduction and Neural Networks #Optimization and Control (math.OC)
6. SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems
   2022/01/14 by Tingwei Meng, Zhen Zhang, Meng, Tingwei +5 · 1 citation
   Computer Science · #Multimodal Machine Learning Applications #Advanced Neural Network Applications #Human Pose and Action Recognition
7. Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning
   2024/04/12 by Zongren Zou, Zou, Zongren, Tingwei Meng +7 · 1 citation
   Computer Science · Physics and Astronomy · #35B37 #35F21 #62F15 #65L99 #65N99 #68T05 #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Data Classification #Model Reduction and Neural Networks
8. A fast algorithm for solving the lasso problem exactly without homotopy using differential inclusions
   2025/07/08 by Gabriel P. Langlois, Jérôme Darbon, Langlois, Gabriel P. +1 · 1 citation
   Computer Science · Engineering · Mathematics · #34A60 #37N40 #46N10 #62J07 #65K05 #90C25 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #G.1.6 #I.5.4 #Machine Learning (cs.LG) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques