Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations.
Denis BelomestnyAlexey NaumovNikita PuchkinSergey SamsonovPublished in: Neural Networks (2023)
Keyphrases
- piecewise polynomial
- neural network
- piecewise constant
- genetic algorithm
- approximation error
- higher order
- pattern recognition
- continuous functions
- fuzzy logic
- approximation algorithms
- neural nets
- special case
- pointwise
- artificial neural networks
- fuzzy systems
- weight function
- linear approximation
- nonlinear functions
- piecewise linear
- multi layer
- closed form
- back propagation
- np hard