• Title/Summary/Keyword: RBF (Radial-Basis Function)

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Forecasting of Runoff Hydrograph Using Neural Network Algorithms (신경망 알고리즘을 적용한 유출수문곡선의 예측)

  • An, Sang-Jin;Jeon, Gye-Won;Kim, Gwang-Il
    • Journal of Korea Water Resources Association
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    • v.33 no.4
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    • pp.505-515
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    • 2000
  • THe purpose of this study is to forecast of runoff hydrographs according to rainfall event in a stream. The neural network theory as a hydrologic blackbox model is used to solve hydrological problems. The Back-Propagation(BP) algorithm by the Levenberg-Marquardt(LM) techniques and Radial Basis Function(RBF) network in Neural Network(NN) models are used. Runoff hydrograph is forecasted in Bocheongstream basin which is a IHP the representative basin. The possibility of a simulation for runoff hydrographs about unlearned stations is considered. The results show that NN models are performed to effective learning for rainfall-runoff process of hydrologic system which involves a complexity and nonliner relationships. The RBF networks consist of 2 learning steps. The first step is an unsupervised learning in hidden layer and the next step is a supervised learning in output layer. Therefore, the RBF networks could provide rather time saved in the learning step than the BP algorithm. The peak discharge both BP algorithm and RBF network model in the estimation of an unlearned are a is trended to observed values.

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Statistical Radial Basis Function Model for Pattern Classification (패턴분류를 위한 통계적 RBF 모델)

  • Choi Jun-Hyeog;Rim Kee-Wook;Lee Jung-Hyun
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.41 no.1
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    • pp.1-8
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    • 2004
  • According to the development of the Internet and the pervasion of Data Base, it is not easy to search for necessary information from the huge amounts of data. In order to do efficient analysis of a large amounts of data, this paper proposes a method for pattern classification based on the effective strategy for dimension reduction for narrowing down the whole data to what users wants to search for. To analyze data effectively, Radial Basis Function Networks based on VC-dimension of Support Vector Machine, a model of statistical teaming, is proposed in this paper. The model of Radial Basis Function Networks currently used performed the preprocessing of Perceptron model whereas the model proposed in this paper, performing independent analysis on VD-dimension, classifies each datum putting precise labels on it. The comparison and estimation of various models by using Machine Learning Data shows that the model proposed in this paper proves to be more efficient than various sorts of algorithm previously used.

Elongated Radial Basis Function for Nonlinear Representation of Face Data

  • Kim, Sang-Ki;Yu, Sun-Jin;Lee, Sang-Youn
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.7C
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    • pp.428-434
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    • 2011
  • Recently, subspace analysis has raised its performance to a higher level through the adoption of kernel-based nonlinearity. Especially, the radial basis function, based on its nonparametric nature, has shown promising results in face recognition. However, due to the endemic small sample size problem of face data, the conventional kernel-based feature extraction methods have difficulty in data representation. In this paper, we introduce a novel variant of the RBF kernel to alleviate this problem. By adopting the concept of the nearest feature line classifier, we show both effectiveness and generalizability of the proposed method, particularly regarding the small sample size issue.

On the Support Vector Machine with the kernel of the q-normal distribution

  • Joguchi, Hirofumi;Tanaka, Masaru
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.983-986
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    • 2002
  • Support Vector Machine (SVM) is one of the methods of pattern recognition that separate input data using hyperplane. This method has high capability of pattern recognition by using the technique, which says kernel trick, and the Radial basis function (RBF) kernel is usually used as a kernel function in kernel trick. In this paper we propose using the q-normal distribution to the kernel function, instead of conventional RBF, and compare two types of the kernel function.

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Learning Behaviors of Stochastic Gradient Radial Basis Function Network Algorithms for Odor Sensing Systems

  • Kim, Nam-Yong;Byun, Hyung-Gi;Kwon, Ki-Hyeon
    • ETRI Journal
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    • v.28 no.1
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    • pp.59-66
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    • 2006
  • Learning behaviors of a radial basis function network (RBFN) using a singular value decomposition (SVD) and stochastic gradient (SG) algorithm, together named RBF-SVD-SG, for odor sensing systems are analyzed, and a fast training method is proposed. RBF input data is from a conducting polymer sensor array. It is revealed in this paper that the SG algorithm for the fine-tuning of centers and widths still shows ill-behaving learning results when a sufficiently small convergence coefficient is not used. Since the tuning of centers in RBFN plays a dominant role in the performance of RBFN odor sensing systems, our analysis is focused on the center-gradient variance of the RBFN-SVD-SG algorithm. We found analytically that the steadystate weight fluctuation and large values of a convergence coefficient can lead to an increase in variance of the center-gradient estimate. Based on this analysis, we propose to use the least mean square algorithm instead of SVD in adjusting the weight for stable steady-state weight behavior. Experimental results of the proposed algorithm have shown faster learning speed and better classification performance.

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Relation between Multidimensional Linear Interpolation and Regularization Networks

  • 엄경식;민병구
    • Journal of the Korean Institute of Intelligent Systems
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    • v.7 no.3
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    • pp.89-95
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation (MDI) and regularization net-works, and shows that an MDI is a special form of regularization networks. For this purpose we propose a triangular basis function(TBF) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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An Elliptical Basis Function Network for Classification of Remote-Sensing Images

  • Luo, Jian-Cheng;Chen, Qiu-Xiao;Zheng, Jiang;Leung, Yee;Ma, Jiang-Hong
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.1326-1328
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    • 2003
  • An elliptical basis function (EBF) network is proposed in this study for the classification of remotely sensed images. Though similar in structure, the EBF network differs from the well-known radial basis function (RBF) network by incorporating full covariance matrices and uses the expectation-maximization (EM) algorithm to estimate the basis functions. Since remotely sensed data often take on mixture -density distributions in the feature space, the proposed network not only possesses the advantage of the RBF mechanism but also utilizes the EM algorithm to compute the maximum likelihood estimates of the mean vectors and covariance matrices of a Gaussian mixture distribution in the training phase. Experimental results show that the EM-based EBF network is faster in training, more accurate, and simpler in structure.

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The Study of Neural Networks Using Orthogonal Function System (직교함수를 사용한 신경회로망에 대한 연구)

  • 권성훈;최용준;이정훈;손동설;엄기환
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.11a
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    • pp.214-217
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    • 1999
  • In this paper we proposed a heterogeneous hidden layer consisting of both sigmoid functions and RBFs(Radial Basis Function) in multi-layered neural networks. Focusing on the orthogonal relationship between the sigmoid function and its derivative, a derived RBF that is a derivative of the sigmoid function is used as the RBF in the neural network. so the proposed neural network is called ONN's feasibility Neural Network). Identification results using a nonlinear. function confirm both the ONN's feasibility and characteristics by comparing with those obtained using a conventional neural network which has sigmoid function or RBF in hidden layer.

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Scissors, Rocks, Cloths recognition system using Radial Basis function (Radial Basis Function 을 이용한 가위, 바위, 보 인식 시스템)

  • 윤상민;이일광;고한석
    • Proceedings of the IEEK Conference
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    • 2000.09a
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    • pp.745-748
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    • 2000
  • 본 논문은 복잡한 배경을 가지고 있는 영상에서 우리가 원하는 손의 움직임의 일부인 가위, 바위, 보를 인식함으로써 좀 더 자연스러운 인간과 컴퓨터의 상호작용(HCI, Human and Computer Interface)을 이루고자 하였다. 정규화된 RGB 색상 공간에서 정의한 피부색의 가우시안 분포를 이용하여 조명의 변화나 개인의 차이에도 효과적이고 안정적으로 손 영역을 찾아내고자 하였으며, 추출된 손 영역은 RBF 신경망을 이용하여 가위, 바위, 보로 인식되도록 하고, 다양한 pattern에 대응하는 효율적인 training방법을 사용하였다.

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Similar Patterns for Semi-blind Watermarking

  • Cho, Jae-Hyun
    • Journal of information and communication convergence engineering
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    • v.2 no.4
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    • pp.251-255
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    • 2004
  • In this paper, we present a watermarking scheme based on the DWT (Discrete Wavelet Transform) and the ANN (Artificial Neural Network) to ensure the copyright protection of the digital images. The problem to embed watermark is not clear to select important coefficient in the watermarking. We used the RBF (Radial-Basis Function) to solve the problem. We didn't apply the whole wavelet coefficients, but applied to only the wavelet coefficients in the selected node. Using the ANN, although even the watermark casting process and watermark verification process are in public, nobody knows the location of embedding watermark except of authorized user. As the result, the watermark is good at the strength test-filtering, geometric transform and etc.