• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - Request a copy

Approximation of a function and its derivative with a neural network

Cardaliaguet, Pierre; Euvrard, Guillaume (1992), Approximation of a function and its derivative with a neural network, Neural Networks, 5, 2, p. 207-220. http://dx.doi.org/10.1016/S0893-6080(05)80020-6

Type
Article accepté pour publication ou publié
Date
1992
Journal name
Neural Networks
Volume
5
Number
2
Publisher
Elsevier
Pages
207-220
Publication identifier
http://dx.doi.org/10.1016/S0893-6080(05)80020-6
Metadata
Show full item record
Author(s)
Cardaliaguet, Pierre
Euvrard, Guillaume
Abstract (EN)
This paper deals with the approximation of both a function and its derivative by feedforward neural networks. We propose an explicit formula of approximation which is noise resistant and can be easily modified with the patterns. We apply these results to approach a function defined implicitly, which is useful in control theory.
Subjects / Keywords
Feedforward neural networks; Functions approximation; Interpolation; Bell-shaped functions; Squashing functions; Robustness with respect to noise; Implicit function; Control

Related items

Showing items related by title and author.

  • Thumbnail
    Comparison of the Predictability of a Neural Network with Retropropagation with Those using Linear Regression, Logistic and A.I.D. Methods for Direct Marketing Scoring 
    Desmet, Pierre (1998) Chapitre d'ouvrage
  • Thumbnail
    Microscopic derivation of a traffic flow model with a bifurcation 
    Cardaliaguet, Pierre; Forcadel, Nicolas (2021) Document de travail / Working paper
  • Thumbnail
    Regularity of the value function and quantitative propagation of chaos for mean field control problems 
    Cardaliaguet, Pierre; Souganidis, Panagiotis E. (2022) Document de travail / Working paper
  • Thumbnail
    Deep learning of Value at Risk through generative neural network models : the case of the Variational Auto Encoder 
    Brugière, Pierre; Turinici, Gabriel (2022) Document de travail / Working paper
  • Thumbnail
    Building Compact and Robust Deep Neural Networks with Toeplitz Matrices 
    Araujo, Alexandre (2021-06-01) Thèse
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo