Gratton, Serge
- S2MPJ and CUTEst optimization problems for Matlab, Python and Julia
2024/07/10 by Gratton, Serge, Philippe L. Toint, Toint, Philippe L. · 6 citations
Computer Science · #49N99 #65K05 #65Y20 #68N99 #90C30 #Computational Physics and Python Applications #FOS: Computer and information sciences #FOS: Mathematics #G.1.6 #Optimization and Control (math.OC) #Parallel Computing and Optimization Techniques #Performance (cs.PF)
- A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks
2023/05/23 by Serge Gratton, Gratton, Serge, Valentin Mercier +5 · 3 citations
Computer Science · Engineering · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Image Processing Techniques and Applications #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
- On high-order multilevel optimization strategies
2019/04/09 by Calandra, Henri, Serge Gratton, Gratton, Serge +4 · 2 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Stochastic Gradient Optimization Techniques
- Yet another fast variant of Newton's method for nonconvex optimization
2023/02/20 by Gratton, Serge, Jerad, Sadok, Toint, Philippe L. · 2 citations
#49M37 #65K05 #90C26 #90C30 #F.2.1 #FOS: Mathematics #G.1.6 #Optimization and Control (math.OC)
- On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method
2019/04/09 by Henri Calandra, Serge Gratton, Calandra, Henri +5 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- A Stochastic Objective-Function-Free Adaptive Regularization Method with Optimal Complexity
2024/07/10 by Gratton, Serge, Jerad, Sadok, Toint, Philippe L. · 3 citations
#49M37 #65K05 #68Q17 #68W40 #90C30 #F.2.1 #FOS: Mathematics #G.1.6 #I.1.2 #Optimization and Control (math.OC)
- Data Assimilation Networks
2020/10/19 by Boudier, Pierre, Fillion, Anthony, Gratton, Serge +2 · 1 citation
#60G35 #68T07 #93B07 #93E11 #94A17 #FOS: Computer and information sciences #FOS: Electrical engineering #Machine Learning (cs.LG) #Systems and Control (eess.SY) #electronic engineering #information engineering
- OPM, a collection of Optimization Problems in Matlab
2021/12/10 by Gratton, Serge, Toint, Philippe L. · 1 citation
#90C25 #90C26 #90C30 #FOS: Mathematics #G.1.6 #G.4 #Optimization and Control (math.OC)
- Complexity of Adagrad and other first-order methods for nonconvex optimization problems with bounds constraints
2024/06/22 by Serge Gratton, Sadok Jerad, Gratton, Serge +3 · 1 citation
Computer Science · Engineering · Mathematics · #49N30 #90C15 #90C26 #90C30 #90C60 #Advanced Optimization Algorithms Research #F.2.1 #FOS: Mathematics #G.1.6 #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques