Approximation of Lipschitz Functions Using Deep Spline Neural Networks.
Sebastian NeumayerAlexis GoujonPakshal BohraMichael UnserPublished in: SIAM J. Math. Data Sci. (2023)
Keyphrases
- neural network
- tensor product
- pointwise
- continuous functions
- b spline
- multiresolution
- least squares
- approximation algorithms
- artificial neural networks
- pattern recognition
- back propagation
- basis functions
- hilbert space
- approximation error
- convex functions
- multi layer
- neural nets
- multilayer perceptron
- recurrent neural networks
- neural network model
- closed form
- feed forward
- fuzzy systems
- weighted sum
- error bounds
- nonlinear functions
- relative error
- fuzzy logic
- upper bound
- approximation methods
- objective function
- polygonal approximation
- genetic algorithm