• Title/Summary/Keyword: Hopfield

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A study on the Generalized Model of Statistical Hopfield Neural Network to Solve the Combinational Optimization Problem (조합 최적화 문제 해결을 위한 통계적 홉필드 신경망의 일반화 모델에 관한 연구)

  • 김태형;김유신
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.10
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    • pp.66-74
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    • 1999
  • In this paper, we propose a generalized model of statistical Hopfield neural network applicable to solving the well known NP-Complete problem, TSP. Van Den Bout's method to simplify the energy function through normalization has severe weak points that it does not consider the necessary perturbation effects. In proposed model, the improved energy function is used and 5 kinds of perturbation effects and the ratio between perturbation effects are considered including van Den Bout's 2 kinds and one more kind of Park. Through the simulation of randomly generated distribution of 10-city, it is found that our model shows 90 out of 100 cases reach the optimum and near optimum solution(within 5% error). We show the simulation of the large scale, 30-city and 50-city.

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Optical Implementation of Associative Menory Based on Two-Dimensional Neural Network Model (2차원 신경회로망 모델에 근거한 광연상 메모리의 실현)

  • 한종욱;박인호;이승현;이우상;김은수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.8
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    • pp.667-677
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    • 1990
  • In this paper, optical inplementation of the Hopfield neural network model for two-dimensinal associative memory is described For the real-time processing of two-dimensional images, the commercial LCTVs are used as a memory mask and an input spatical light modulator. A 4-D memory matrix is realized with a 2-D mask of a matrix arrangement and the inner-products between arbitrary input pattern and memory matrix are carried out by using the multifocus hololens. The output image is then electronically thresholded and fed back to the input of the associative memory system by 2-D CCd camera. From the good experimental results for the high error correction capability, the proposed system can be applied to practical pattern recognition and machine vision systems.

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A STUDY THE IMPROVEMENT OF AREA COMPLEXITY OF HOPFILED NETWORK (홉필드 신경회로망의 Area Complexity 개선에 관한 연구)

  • Kim, Bo-Yeon;Hwang, Hee-Yeung;Lee, Chong-Ho
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.532-534
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    • 1990
  • We suggest a new energy function that improves the area complexity of the Hopfield Crossbar Network. Through converting data representation to an encoded format, we reduce the number of nodes of the network, and thus reduce the entire size. We apply this approach to the layer assignment problem, and use the modified delayed self-feedback Hopfield Network. Area complexity of the existing network for layer assignment ploblem is improved from O( $N^2L^2$ ) to O($N^2$(log L)$^2$).

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Implementation of Optical Pattern Recognition System Based on Perceptron Neural Network (Perceptron 신경회로망에 근거한 광 패턴인식 시스템의 구현)

  • 한종욱;용상순;이진호;이기서;김은수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.6
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    • pp.545-555
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    • 1991
  • In this paper, We discuss optical implementation of new optical adaptive patern recognition system based on single layer perception with learning capability and associative memory model having error corrective capability. The single layer perceptron is optically implemented by using 2 D LCTV spatial light modulators through the nonlinear quantization and polarization encoding methods, and 2 D hopfield associative memory is also implemented by using multifocus holographic lens. From some experimental results on classfication of Arabic numbers into even & edd numbers, it is shown that the proposed system can classify the patterns to the right classes correctly even for the partial and erronenous input patterns. Accordingly, the proposed optical adaptive pattern recognition system can be suggested for practical application in the fields of image processing and pattern recognition.

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The Hangeul image's recognition and restoration based on Neural Network and Memory Theory (신경회로망과 기억이론에 기반한 한글영상 인식과 복원)

  • Jang, Jae-Hyuk;Park, Joong-Yang;Park, Jae-Heung
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.4 s.36
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    • pp.17-27
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    • 2005
  • In this study, it proposes the neural network system for character recognition and restoration. Proposes system composed by recognition part and restoration part. In the recognition part. it proposes model of effective pattern recognition to improve ART Neural Network's performance by restricting the unnecessary top-down frame generation and transition. Also the location feature extraction algorithm which applies with Hangeul's structural feature can apply the recognition. In the restoration part, it composes model of inputted image's restoration by Hopfield neural network. We make part experiments to check system's performance, respectively. As a result of experiment, we see improve of recognition rate and possibility of restoration.

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VLSI Implementation of Hopfield Network using Correlation (상관관계를 이용한 홉필드 네트웍의 VLSI 구현)

  • O, Jay-Hyouk;Park, Seong-Beom;Lee, Chong-Ho
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.254-257
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    • 1993
  • This paper presents a new method to implement Hebbian learning method on artificial neural network. In hebbian learning algorithm, complexity in terms of multiplications is high. To save the chip area, we consider a new learning circuit. By calculating similarity, or correlation between $X_i$ and $O_i$, large portion of circuits commonly used in conventional neural networks is not necessary for this new hebbian learning circuit named COR. The output signals of COR is applied to weight storage capacitors for direct control the voltages of the capacitors. The weighted sum, ${\Sigma}W_{ij}O_j$, is realized by multipliers, whose output currents are summed up in one line which goes to learning circuit or output circuit. The drain current of the multiplier can produce positive or negative synaptic weights. The pass transistor selects eight learning mode or recall mode. The layout of an learnable six-neuron fully connected Hopfield neural network is designed, and is simulated using PSPICE. The network memorizes, and retrieves the patterns correctly under the existence of minor noises.

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Classification of Magnetic Resonance Imagery Using Deterministic Relaxation of Neural Network (신경망의 결정론적 이완에 의한 자기공명영상 분류)

  • 전준철;민경필;권수일
    • Investigative Magnetic Resonance Imaging
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    • v.6 no.2
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    • pp.137-146
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    • 2002
  • Purpose : This paper introduces an improved classification approach which adopts a deterministic relaxation method and an agglomerative clustering technique for the classification of MRI using neural network. The proposed approach can solve the problems of convergency to local optima and computational burden caused by a large number of input patterns when a neural network is used for image classification. Materials and methods : Application of Hopfield neural network has been solving various optimization problems. However, major problem of mapping an image classification problem into a neural network is that network is opt to converge to local optima and its convergency toward the global solution with a standard stochastic relaxation spends much time. Therefore, to avoid local solutions and to achieve fast convergency toward a global optimization, we adopt MFA to a Hopfield network during the classification. MFA replaces the stochastic nature of simulated annealing method with a set of deterministic update rules that act on the average value of the variable. By minimizing averages, it is possible to converge to an equilibrium state considerably faster than standard simulated annealing method. Moreover, the proposed agglomerative clustering algorithm which determines the underlying clusters of the image provides initial input values of Hopfield neural network. Results : The proposed approach which uses agglomerative clustering and deterministic relaxation approach resolves the problem of local optimization and achieves fast convergency toward a global optimization when a neural network is used for MRI classification. Conclusion : In this paper, we introduce a new paradigm to classify MRI using clustering analysis and deterministic relaxation for neural network to improve the classification results.

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A Study on the Optimal Data Association in Multi-Target Tracking by Hopfield Neural Network (홉필드 신경망을 이용한 다중 표적 추적이 데이터 결합 최적화에 대한 연구)

  • Lee, Yang-Weon;Jeong, Hong
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.186-197
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    • 1996
  • A multiple target tracking (MTT) problem is to track a number of targets in clusttered environment, where measurements may contain uncertainties of measurement origin due to clutter, missed detection, or other targets, as well as measurement noise errors. Hence, an MTT filter should be introduced to resolve this problem. In this paper, a neural network is rpoposed as an MTT filter.

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Particle Sizing Using Light Scattering and Neural Networks (산란이론과 신경회로에 의한 입자크기계측)

  • 남부희;이상재;박민현;이영진;이석원;류태우;방병렬
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.6
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    • pp.447-453
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    • 2000
  • Using the scattering theory of laser light, we analyze the particle sizing method. The scattered profile measured by the photodetector is sampled, scale conditioned by a 32 channel analog-to-digital converter, and is analyzed with the transform matrix from the light energy signals to the weights of the particle sizes. The particle size distribution is classified using the Hopfield neural network method as well as the conventional nonnegative least square method.

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Range Data Sementation and Classification Using Eigenvalues of Surface Function and Neural Network (면방정식의 고유치와 신경회로망을 이용한 거리영상의 분할과 분류)

  • 정인갑;현기호;이진재;하영호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.7
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    • pp.70-78
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    • 1992
  • In this paper, an approach for 3-D object segmentation and classification, which is based on eigen-values of polynomial function as their surface features, using neural network is proposed. The range images of 3-D objects are classified into surface primitives which are homogeneous in their intrinsic eigenvalue properties. The misclassified regions due to noise effect are merged into correct regions satisfying homogeneous constraints of Hopfield neural network. The proposed method has advantage of processing both segmentation and classification simultaneously.

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