A New Learning Algorithm with General Loss for Neural Networks with Random Weights

Author(s):  
Yunfei Yao ◽  
Junfan Li ◽  
Shizhong Liao
2009 ◽  
Vol 72 (16-18) ◽  
pp. 3771-3781 ◽  
Author(s):  
R. Savitha ◽  
S. Suresh ◽  
N. Sundararajan ◽  
P. Saratchandran

2004 ◽  
Vol 16 (6) ◽  
pp. 1253-1282 ◽  
Author(s):  
Miroslaw Galicki ◽  
Lutz Leistritz ◽  
Ernst Bernhard Zwick ◽  
Herbert Witte

This work addresses the problem of improving the generalization capabilities of continuous recurrent neural networks. The learning task is transformed into an optimal control framework in which the weights and the initial network state are treated as unknown controls. A new learning algorithm based on a variational formulation of Pontrayagin's maximum principle is proposed. Under reasonable assumptions, its convergence is discussed. Numerical examples are given that demonstrate an essential improvement of generalization capabilities after the learning process of a dynamic network.


2013 ◽  
Vol 37 ◽  
pp. 182-188 ◽  
Author(s):  
Bernard Widrow ◽  
Aaron Greenblatt ◽  
Youngsik Kim ◽  
Dookun Park

2002 ◽  
Vol 12 (01) ◽  
pp. 45-67 ◽  
Author(s):  
M. R. MEYBODI ◽  
H. BEIGY

One popular learning algorithm for feedforward neural networks is the backpropagation (BP) algorithm which includes parameters, learning rate (η), momentum factor (α) and steepness parameter (λ). The appropriate selections of these parameters have large effects on the convergence of the algorithm. Many techniques that adaptively adjust these parameters have been developed to increase speed of convergence. In this paper, we shall present several classes of learning automata based solutions to the problem of adaptation of BP algorithm parameters. By interconnection of learning automata to the feedforward neural networks, we use learning automata scheme for adjusting the parameters η, α, and λ based on the observation of random response of the neural networks. One of the important aspects of the proposed schemes is its ability to escape from local minima with high possibility during the training period. The feasibility of proposed methods is shown through simulations on several problems.


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