Weight initialization algorithm for physics-informed neural networks using finite differences

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

Computing, Computer Science, Machine Learning +5

A Stochastic Approximation Method

Herbert Robbins, Sutton Monro · The Annals of Mathematical Statistics · 1951 · 9.6K citations · Full text

Computing, Computer Science, Algorithms +9

A Limited Memory Algorithm for Bound Constrained Optimization

Richard H. Byrd, Peihuang Lu, Jorge Nocedal et al. · SIAM Journal on Scientific Computing · 1995 · 6.2K citations

Natural Sciences, Computer Science, Mathematics +16

Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

Salvatore Cuomo, Vincenzo Schiano Di Cola, Fabio Giampaolo et al. · Journal of Scientific Computing · 2022 · 2.3K citations · Full text

Computing, Computer Science, Physics +16