Makridakis, Charalambos G.

1. On the Stability and Convergence of Physics Informed Neural Networks
   2023/08/10 by Gazoulis, Dimitrios, Gkanis, Ioannis, Makridakis, Charalambos G. · 4 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
2. A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods
   2024/11/13 by Charalambos Makridakis, Makridakis, Charalambos G., Aaron Pim +3 · 3 citations
   Mathematics · Physics and Astronomy · #65K10 #65N12 #FOS: Mathematics #G.1.8 #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
3. Deep Uzawa for PDE constrained optimisation
   2024/10/22 by Charalambos Makridakis, Makridakis, Charalambos G., Aaron Pim +3 · 3 citations
   Computer Science · Engineering · #65K10 #Advanced Control Systems Optimization #Engineering Applied Research #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
4. Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis
   2024/12/29 by Georgios Akrivis, Charalambos Makridakis, Akrivis, Georgios +3 · 2 citations
   Computer Science · Physics and Astronomy · #Neural Networks and Applications #Model Reduction and Neural Networks
5. A new approach to generalisation error of machine learning algorithms: Estimates and convergence
   2023/06/23 by Michail Loulakis, Loulakis, Michail, Charalambos Makridakis +1 · 1 citation
   Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Control Systems and Identification #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Probability (math.PR)