Output-based modeling of catalytic ozonation by differential neural networks with discontinuous learning law

2019 ◽  
Vol 122 ◽  
pp. 83-93
Author(s):  
T. Poznyak ◽  
I. Chairez ◽  
A. Poznyak
1996 ◽  
Vol 8 (8) ◽  
pp. 1767-1786 ◽  
Author(s):  
François Michaud ◽  
Ruben Gonzalez Rubio

Artificial neural networks (ANN) have been demonstrated to be increasingly more useful for complex problems difficult to solve with conventional methods. With their learning abilities, they avoid having to develop a mathematical model or acquiring the appropriate knowledge to solve a task. The difficulty now lies in the ANN design process. A lot of choices must be made to design an ANN, and there are no available design rules to make these choices directly for a particular problem. Therefore, the design of an ANN demands a certain number of iterations, mainly guided by the expertise and the intuition of the developer. To automate the ANN design process, we have developed Neurex, composed of an expert system and an ANN simulator. Neurex autonomously guides the iterative ANN design process. Its structure tries to reproduce the design steps done by a human expert in conceiving an ANN. As a whole, the Neurex structure serves as a framework to implement this expertise for different learning paradigms. This article presents the system's general characteristics and its use in designing ANN using the standard backpropagation learning law.


2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
J. Humberto Pérez-Cruz ◽  
A. Y. Alanis ◽  
José de Jesús Rubio ◽  
Jaime Pacheco

In previous works, a learning law with a dead zone function was developed for multilayer differential neural networks. This scheme requires strictly a priori knowledge of an upper bound for the unmodeled dynamics. In this paper, the learning law is modified in such a way that this condition is relaxed. By this modification, the tuning process is simpler and the dead-zone function is not required anymore. On the basis of this modification and by using a Lyapunov-like analysis, a stronger result is here demonstrated: the exponential convergence of the identification error to a bounded zone. Besides, a value for upper bound of such zone is provided. The workability of this approach is tested by a simulation example.


2019 ◽  
Author(s):  
Anthony Marinac ◽  
Brian Simpson ◽  
Caroline Hart ◽  
Rhianna Chisholm ◽  
Jennifer Nielsen ◽  
...  
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