Fractal measures and diffusion as results of learning in neural networks

1993 ◽  
Vol 174 (4) ◽  
pp. 293-297 ◽  
Author(s):  
G. Radons ◽  
H.G. Schuster ◽  
D. Werner
2021 ◽  
Author(s):  
Maryam Arvandi

Cryptography can be considered one of the most important aspects of communication security with existence of many threats and attacks to the systems. Unbreakableness is the main feature of a cryptographic cipher. In this thesis, feasibility of using neural networks, due to their computational capabilities is investigated for designing new cryptography methods. A newly proposed block cipher based on recurrent neural networks has also been analysed It is shown that: the new scheme is not a block cipher, and it should be referred to as a symmetric cipher; the simple architecture of the network is compatible with the requirement for confusion, and diffusion properties of a cryptosystem; the back propagation with variable step size without momentum, has the best result among other back propagation algorithms; the output of the network, the ciphertext, is not random, proved by using three statistical tests; the cipher is resistant to some fundamental cryptanalysis attacks, and finally a possible chosen-plaintext attack is presented.


2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Xiongrui Wang ◽  
Ruofeng Rao ◽  
Shouming Zhong

The nonlinearp-Laplace diffusion (p>1) was considered in the Cohen-Grossberg neural network (CGNN), and a new linear matrix inequalities (LMI) criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that, ifp=2,p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even ifp=2, the new criterion improves some recent ones due to computational efficiency. In addition, the resulting criterion has advantages over some previous ones in that both the impulsive assumption and diffusion simulation are more natural than those of some recent literatures.


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