Title :
Activation Function of Transiently Chaotic Neural Networks
Author :
Xu, Yaoqun ; Sun, Ming ; Duan, Guangren
Author_Institution :
Inst. of Syst. Eng., Harbin Univ. of Commerce
Abstract :
Chaotic neural networks have been proved to be powerful tools to solve function and combinatorial optimization problems. Several chaotic neural units were studied and their activation functions are obviously different. The reversed bifurcation and Lyapunov exponent figures were respectively given. To improve the search-optimization capacity of chaotic neural network, a new transiently chaotic neural network was presented and its activation function is composed by Morlet and Sigmoid function. Then it was applied to function and combinatorial optimization problems. The simulation results show that the new transiently chaotic neural network is superior to the other transiently chaotic neural networks
Keywords :
Lyapunov methods; bifurcation; combinatorial mathematics; neural nets; simulated annealing; Lyapunov exponent figures; Morlet and Sigmoid function; activation function; combinatorial optimization problems; function optimization problems; reversed bifurcation; search-optimization capacity; transiently chaotic neural networks; Bifurcation; Business; Chaos; Control theory; Electronic mail; Intelligent control; Neural networks; Power engineering and energy; Sun; Systems engineering and theory; Lyapunov exponent; activation function; chaotic neural network; combinatorial optimization; reversed bifurcation;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712917