Serge Gratton

1. 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)
2. Minimizing convex quadratic with variable precision conjugate gradients
   2018/07/17 by Serge Gratton, Gratton, S., Ehouarn Simon +5 · 2 citations
   Computer Science · Engineering · Mathematics · #65F10 #65G99 #90C20 #Advanced Optimization Algorithms Research #B.2.3 #B.2.4 #F.2.1 #FOS: Mathematics #G.1.3 #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
3. A note on solving nonlinear optimization problems in variable precision
   2018/12/09 by Serge Gratton, Gratton, S., Philippe L. Toint +1 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #65K05 #90C26 #90C30 #Advanced Optimization Algorithms Research #B.2.3 #B.2.4 #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1.6 #I.2.5 #Machine Learning (cs.LG) #Mathematical Software (cs.MS) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
4. 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, Calandra, Henri, Serge Gratton +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)