Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques

A Simplex Method for Function Minimization

J. A. Nelder, R. Mead · The Computer Journal · 1965 · 28.5K citations

Numerical Analysis, Mathematical Programming, Large-scale Global Optimization +16

Multilayer feedforward networks are universal approximators

Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks · 1989 · 20.7K citations

Evolving Neural Network, Engineering, Machine Learning +5

A logical calculus of the ideas immanent in nervous activity

Warren S. McCulloch, Walter Pitts · Bulletin of Mathematical Biology · 1943 · 17.7K citations

Symbolic Learning, Cognitive Science, Computational Neuroscience +10

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.4K citations

Computational Neuroscience, Approximation Method, Inverse Problems +4

Multilayer feedforward networks are universal approximators

HornikK., StinchcombeM., WhiteH. · Neural Networks · 1989 · 9.3K citations

Evolving Neural Network, Engineering, Machine Learning +5