A Complex-Valued Hopfield Neural Network: Dynamics and Applications

نویسنده

  • V. Srinivasa Chakravarthy
چکیده

Drawing important ideas from several sources, the idea of associative memory from psychology (Kohonen, 1977), the idea of Hebbian adaptation from neurophysiology (Hebb, 1949), the idea of neuron as a thresholding device from prior modeling work (McCulloch & Pitts, 1943) etc., Hopfield presented an elegant model of associative memory storage and retrieval in the brain (Hopfield, 1982; Hopfield, 1984). Most importantly, an original contribution of the Hopfield model is the suggestion that memories correspond to attractors of neural network dynamics. This essential insight has helped to create a whole class of “neural memories.” Since memories, by their very nature, must have certain stability, and there must be mechanisms for storage and retrieval of the same, it is reasonable to think of memories as attractors of brain dynamics. There is also some experimental evidence towards that end. But where experimental data differs from Hopfield’s model memories ABSTrACT

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Neural Networks with Complex and Quaternion Inputs

Many neural network architectures operate only on real data and simple complex inputs. But there are applications where considerations of complex and quaternion inputs are quite desirable. Prior complex neural network models have generalized the Hopfield model, backpropagation and the perceptron learning rule to handle complex inputs. The Hopfield model for inputs and outputs falling on the uni...

متن کامل

Fast Recall for Complex-Valued Hopfield Neural Networks with Projection Rules

Many models of neural networks have been extended to complex-valued neural networks. A complex-valued Hopfield neural network (CHNN) is a complex-valued version of a Hopfield neural network. Complex-valued neurons can represent multistates, and CHNNs are available for the storage of multilevel data, such as gray-scale images. The CHNNs are often trapped into the local minima, and their noise to...

متن کامل

On the EXISTENCE OF HOPFIELD NEURAL NETWORKS: SYNTHESIS OF HOPFIELD TYPE ASSOCIATIVE MEMORIES:

In this research paper, the problem of existence of the associative memory synthesized by Hopfield is addressed and solved. Using Hadamard matrix of suitable dimension, an algorithm to synthesize real valued Hopfield neural network is discussed. The problem of existence and synthesis of a certain complex Hopfield neural network is addressed and solved. Also, synthesis of real and complex Hopfie...

متن کامل

Design of Complex-valued Hopfield Associative Memory Based on Prespecified Attractive Domain

This paper proposes a connection weighting scheme of a complex-valued Hopfield neural network for associative memory constrained by given attractive domain. Both equilibrium conditions and stability analysis results are used in the synthesis procedure. We solve the equilibrium equation by singular value decomposition technique and obtain a general solution of the connection weight matrix with a...

متن کامل

Complex-valued Hopfield Neural Network for Amplitude Estimation of Sinusoidal Signals

Recently models of neural networks that can directly deal with complex numbers, complex-valued neural networks, have been proposed and several studies on their abilities of information processing have been done. In this paper, the problem of amplitude estimation of sinusoidal signals from observations corrupted by colored noise using Hopfield neural network (HNN) is considered. We have introduc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016