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Two neural networks which are trained on their mutual output bits show a novel phenomenon: The networks synchronize to a state with identical time dependent weights. It is shown how synchronization by mutual learning can be applied to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel , Ido Kanter

Two neural networks which are trained on their mutual output bits are analysed using methods of statistical physics. The exact solution of the dynamics of the two weight vectors shows a novel phenomenon: The networks synchronize to a state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel , Ido Kanter

Neural networks can synchronize by learning from each other. In the case of discrete weights full synchronization is achieved in a finite number of steps. Additional networks can be trained by using the inputs and outputs generated during…

Disordered Systems and Neural Networks · Physics 2007-11-16 Andreas Ruttor

The security of neural cryptography is investigated. A key-exchange protocol over a public channel is studied where the parties exchanging secret messages use multilayer neural networks which are trained by their mutual output bits and…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Mislovaty , Y. Perchenok , Ido Kanter , Wolfgang Kinzel

The goal of any cryptographic system is the exchange of information among the intended users without any leakage of information to others who may have unauthorized access to it. A common secret key could be created over a public channel…

Cryptography and Security · Computer Science 2011-02-03 Sahana S. Bisalapur

Exchange of secret keys over public channels based on neural synchronization using a variety of learning rules offer an appealing alternative to number theory based cryptography algorithms. Though several forms of attacks are possible on…

Cryptography and Security · Computer Science 2015-02-19 Sandip Chakraborty , Jiban Dalal , Bikramjit Sarkar , Debaprasad Mukherjee

Synchronization of neural networks has been used for novel public channel protocols in cryptography. In the case of tree parity machines the dynamics of both bidirectional synchronization and unidirectional learning is driven by attractive…

Disordered Systems and Neural Networks · Physics 2007-11-01 Andreas Ruttor , Wolfgang Kinzel , Ido Kanter

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

Neural cryptography is based on synchronization of tree parity machines by mutual learning. We extend previous key-exchange protocols by replacing random inputs with queries depending on the current state of the neural networks. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Ido Kanter

Mutual learning process between two parity feed-forward networks with discrete and continuous weights is studied analytically, and we find that the number of steps required to achieve full synchronization between the two networks in the…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Ido Kanter , Wolfgang Kinzel

Neural cryptography is based on a competition between attractive and repulsive stochastic forces. A feedback mechanism is added to neural cryptography which increases the repulsive forces. Using numerical simulations and an analytic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Lanir Shacham , Ido Kanter

Neural networks with synaptic weights constructed according to the weighted Hebb rule, a variant of the familiar Hebb rule, are studied in the presence of noise(finite temperature), when the number of stored patterns is finite and in the…

Condensed Matter · Physics 2009-10-22 Caren Marzban , Raju Viswanathan

In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet…

Disordered Systems and Neural Networks · Physics 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

Disordered Systems and Neural Networks · Physics 2025-09-03 Chuanbo Liu , Jin Wang

Intensive work on quantum computing has increased interest in quantum cryptography in recent years. Although this technique is characterized by a very high level of security, there are still challenges that limit the widespread use of…

Cryptography and Security · Computer Science 2019-04-30 Marcin Niemiec

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

In this contribution we give an overview over recent work on the theory of interacting neural networks. The model is defined in Section 2. The typical teacher/student scenario is considered in Section 3. A static teacher network is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel

Leveraging recent advances in neuroscience and control theory, this paper presents a neuromimetic network model with dynamic symmetric connections governed by Hebbian learning rules. Formal analysis grounded in graph theory and classical…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Zexin Sun , John Baillieul

Different scaling properties for the complexity of bidirectional synchronization and unidirectional learning are essential for the security of neural cryptography. Incrementing the synaptic depth of the networks increases the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Rivka Naeh , Ido Kanter

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel
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