Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations
Denis Belomestny, Alexey Naumov, Nikita Puchkin, Sergey Samsonov
Topics & Concepts
PiecewiseArtificial neural networkPolynomialBounded functionGeneralizationActivation functionFunction approximationFunction (biology)Computer scienceFeature (linguistics)MathematicsDeep learningApproximation errorArtificial intelligenceAlgorithmApplied mathematicsMathematical analysisPhilosophyBiologyEvolutionary biologyLinguisticsNeural Networks and ApplicationsModel Reduction and Neural NetworksImage and Signal Denoising Methods