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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

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

Mutual learning of a pair of tree parity machines with continuous and discrete weight vectors is studied analytically. The analysis is based on a mapping procedure that maps the mutual learning in tree parity machines onto mutual learning…

Disordered Systems and Neural Networks · Physics 2009-11-07 Michal Rosen-Zvi , Einat Klein , Ido Kanter , Wolfgang Kinzel

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

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

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

A connection between the theory of neural networks and cryptography is presented. A new phenomenon, namely synchronization of neural networks is leading to a new method of exchange of secret messages. Numerical simulations show that two…

Statistical Mechanics · Physics 2009-11-07 I. Kanter , W. Kinzel , E. Kanter

Neural cryptography is the application of artificial neural networks in the subject of cryptography. The functionality of this solution is based on a tree parity machine. It uses artificial neural networks to perform secure key exchange…

Cryptography and Security · Computer Science 2024-10-28 Miłosz Stypiński , Marcin Niemiec

A sequential training method for large-scale feedforward neural networks is presented. Each layer of the neural network is decoupled and trained separately. After the training is completed for each layer, they are combined together. The…

Machine Learning · Computer Science 2019-05-21 Jongrae Kim

Learning monotonic models with respect to a subset of the inputs is a desirable feature to effectively address the fairness, interpretability, and generalization issues in practice. Existing methods for learning monotonic neural networks…

Machine Learning · Computer Science 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

Neural networks based on metric recognition methods have a strictly determined architecture. Number of neurons, connections, as well as weights and thresholds values are calculated analytically, based on the initial conditions of tasks:…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Polad Geidarov

In the application of neural networks, we need to select a suitable model based on the problem complexity and the dataset scale. To analyze the network's capacity, quantifying the information learned by the network is necessary. This paper…

Machine Learning · Computer Science 2021-02-03 Liqun Yang , Yijun Yang , Yao Wang , Zhenyu Yang , Wei Zeng

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

Machine Learning · Computer Science 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Fairness is crucial for neural networks which are used in applications with important societal implication. Recently, there have been multiple attempts on improving fairness of neural networks, with a focus on fairness testing (e.g.,…

Machine Learning · Computer Science 2021-07-20 Bing Sun , Jun Sun , Ting Dai , Lijun Zhang

With the growth of machine learning techniques, privacy of data of users has become a major concern. Most of the machine learning algorithms rely heavily on large amount of data which may be collected from various sources. Collecting these…

Machine Learning · Computer Science 2023-11-17 Mahfuzur Rahman Chowdhury , Muhammad Ibrahim

The financial sector presents many opportunities to apply various machine learning techniques. Centralized machine learning creates a constraint which limits further applications in finance sectors. Data privacy is a fundamental challenge…

Machine Learning · Computer Science 2020-07-15 Yifei Zhang , Hao Zhu

Most of the weights in a Lightweight Neural Network have a value of zero, while the remaining ones are either +1 or -1. These universal approximators require approximately 1.1 bits/weight of storage, posses a quick forward pass and achieve…

Machine Learning · Computer Science 2017-12-18 Altaf H. Khan

In this paper, we introduce the problem of jointly learning feed-forward neural networks across a set of relevant but diverse datasets. Compared to learning a separate network from each dataset in isolation, joint learning enables us to…

Machine Learning · Computer Science 2019-06-12 Zaiwei Zhang , Xiangru Huang , Qixing Huang , Xiao Zhang , Yuan Li

Coupled learning is a contrastive scheme for tuning the properties of individual elements within a network in order to achieve desired functionality of the system. It takes advantage of physics both to learn using local rules and to…

Soft Condensed Matter · Physics 2024-07-09 Lauren E. Altman , Menachem Stern , Andrea J. Liu , Douglas J. Durian
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