On the Use of Neural Network as a Universal Approximator

نویسندگان

  • Amel SIFAOUI
  • Afef ABDELKRIM
  • Mohamed BENREJEB
چکیده

Neural network process modelling needs the use of experimental design and studies. A new neural network constructive algorithm is proposed. Moreover, the paper deals with the influence of the parameters of radial basis function neural networks and multilayer perceptrons network in process modelling. Particularly, it is shown that the neural modelling, depending on learning approach, cannot be always validated for large classes of dynamic complex processes in comparison with Kolgomorov theorem. keywords. Function approximation, Radial Basis Function (RBF), MultiLayer Perceptron (MLP), Chaotic behaviour.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A trainable transparent universal approximator for defuzzification in Mamdani-type neuro-fuzzy controllers

A novel technique of designing application specific defuzzification strategies with neural learning is presented. The proposed neural architecture considered as a universal defuzzification approximator is validated by showing the convergence when approximating several existing defuzzification strategies. The method is successfully tested with fuzzy controlled reverse driving of a model truck. T...

متن کامل

Universal Approximator Property of the Space of Hyperbolic Tangent Functions

In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.

متن کامل

A Trainable Transparent Universal Approximator for Defuzzi cation in Mamdani Type Neuro-Fuzzy Controllers

|A novel technique of designing application speci c defuzzi cation strategies with neural learning is presented. The proposed neural architecture considered as a universal defuzzi cation approximator is validated by showing the convergence when approximating several existing defuzzi cation strategies. The method is successfully tested with fuzzy controlled reverse driving of a model truck. The ...

متن کامل

Universal Approximation , With Fuzzy ART and . Fuzzy ARTMAP

A measure of s k c e s s for any learning algorithm is how u s e ful it is in a variety of learning situations. Those learning algorithms that support universal function approximation can theoretically h e applied to a very large and interesting class of learning problems. Many kinds of neural network architectures have already been shown to support universal approximation. In this paper, we wi...

متن کامل

Hamiltonian vector field for the Lorenz invariant set

The existence of a Hamiltonian vector field in which trajectories of the invariant set of a dissipative hyperbolic chaotic system are embedded will be proved (see notation below). Evidence of this with an example concerning the Lorenz system will be provided. Also, a constructive method of designing a Hamiltonian for the Lorenz attractor with a universal approximator will be introduced. The pre...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008