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Stochastic Hopfield neural networks

by Shigeng Hu, Xiaoxin Liao, Xuerong Mao , 2003
"... Hopfield (1984 Proc. Natl Acad. Sci. USA 81 3088–92) showed that the time evolution of a symmetric neural network is a motion in state space that seeks out minima in the system energy (i.e. the limit set of the system). In practice, aneuralnetwork is often subject to environmental noise. It is there ..."
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Hopfield (1984 Proc. Natl Acad. Sci. USA 81 3088–92) showed that the time evolution of a symmetric neural network is a motion in state space that seeks out minima in the system energy (i.e. the limit set of the system). In practice, aneuralnetwork is often subject to environmental noise

Modified Hopfield Neural Network

by Sylvain Chartier, R. Lepage, Sylvain Chartier, Département De Psychologie, Richard Lepage , 2016
"... Learning and extracting edges from images by a ..."
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Learning and extracting edges from images by a

Hopfield Neural Networks—A Survey

by Humayun Karim Sulehria, Ye Zhang
"... Abstract:- In this work we survey the Hopfield neural network, introduction of which rekindled interest in the neural networks through the work of Hopfield and others. Hopfield net has many interesting features, applications, and implementations and it comes in two flavors, digital and analog. A bri ..."
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Abstract:- In this work we survey the Hopfield neural network, introduction of which rekindled interest in the neural networks through the work of Hopfield and others. Hopfield net has many interesting features, applications, and implementations and it comes in two flavors, digital and analog. A

Absolute Stability of Hopfield Neural Network

by Xiaoxin Liao
"... Abstract. This paper presents some new results for the absolute stability of Hopfield neural networks with activation functions chosen from sigmoidal functions which have unbounded derivatives. Detailed discussions are also given to the relation and difference of absolute stabilities between neural ..."
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Abstract. This paper presents some new results for the absolute stability of Hopfield neural networks with activation functions chosen from sigmoidal functions which have unbounded derivatives. Detailed discussions are also given to the relation and difference of absolute stabilities between neural

Hopfield Neural Network with Glial Network

by Chihiro Ikutay, Yoko Uwatey, Yoshifumi Nishioy, Guoan Yangz
"... A glia is a nervous cell existing in a brain. This cell has im-portant functions for the higher brain function. We have pro-posed a glial network for an artificial network from functions of the biological glia. In this study, we propose a Hopfield Neural Network (Hopfield NN) with glial network. In ..."
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A glia is a nervous cell existing in a brain. This cell has im-portant functions for the higher brain function. We have pro-posed a glial network for an artificial network from functions of the biological glia. In this study, we propose a Hopfield Neural Network (Hopfield NN) with glial network

Opinion Dynamics with Hopfield Neural Networks

by Dietrich Stauffer, Przemys̷law A. Grabowicz, Janusz A. Ho̷lyst , 712
"... In Hopfield neural networks with up to 10 8 nodes we store two patterns through Hebb couplings. Then we start with a third random pattern which is supposed to evolve into one of the two stored patterns, simulating the cognitive process of associative memory leading to one of two possible opinions. W ..."
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In Hopfield neural networks with up to 10 8 nodes we store two patterns through Hebb couplings. Then we start with a third random pattern which is supposed to evolve into one of the two stored patterns, simulating the cognitive process of associative memory leading to one of two possible opinions

Hopfield Neural Networks for Vector Precoding

by Ralf R. Müller, Geir E. Øien
"... Abstract—We investigate the application of Hopfield neural networks (HNN) for vector precoding in wireless multiple-input multiple-output (MIMO) systems. We apply the HNN to vector precoding with N transmit and K receive antennas, and obtain simulation results for the average transmit energy optimiz ..."
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Abstract—We investigate the application of Hopfield neural networks (HNN) for vector precoding in wireless multiple-input multiple-output (MIMO) systems. We apply the HNN to vector precoding with N transmit and K receive antennas, and obtain simulation results for the average transmit energy

GRAY BOX IDENTIFICATION WITH HOPFIELD NEURAL NETWORKS

by Miguel Atencia, E. T. S. I. Informática, Gonzalo Joya Y Francisco S, E. T. S. I. Telecomunicación
"... In this work, a novel method, based upon Hopfield neural networks, is proposed for parameter estimation in the context of system identification. This subject is a very active field of research, because even when a model of a physical system is available, some parameters may be uncertain or time ..."
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In this work, a novel method, based upon Hopfield neural networks, is proposed for parameter estimation in the context of system identification. This subject is a very active field of research, because even when a model of a physical system is available, some parameters may be uncertain or time

Intuitionistic fuzzy Hopfield neural network and its stability

by Long Li, Jie Yang, Wei Wu
"... Intuitionistic fuzzy sets (IFSs) are generalization of fuzzy sets by adding an additional attribute parameter called non-membership degree. In this paper, a max-min intuitionistic fuzzy Hopfield neural network (IFHNN) is proposed by combining IFSs with Hopfield neural networks. The stability of IFHN ..."
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Intuitionistic fuzzy sets (IFSs) are generalization of fuzzy sets by adding an additional attribute parameter called non-membership degree. In this paper, a max-min intuitionistic fuzzy Hopfield neural network (IFHNN) is proposed by combining IFSs with Hopfield neural networks. The stability

Applying Hopfield Neural Networks for Artificial Intelligence problems

by D.O. Gorodnichy , 1995
"... Artificial Intelligence (AI) is known to be rich with problems, where finding the solution by conventional search methods is computationally intensive. The time required is often exponential to the number of variables. Principly different way of searching for the decision is to build a dynamic self- ..."
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-organizing system, where the stable states correspond to the desirable solutions. In the paper the possibility of using such nondeterministic methods for resolving Artificial Intelligence problems is studied. It is shown why Hopfield Neural Networks (HN) are so suitable for the role of such a dynamical system
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