• Title/Summary/Keyword: Function Representation

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Nonlinear Approximations Using RBF Neural Networks (RBF 신경망을 이용한 비선형 근사)

  • 박주영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.2
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    • pp.26-35
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    • 1996
  • In this paper, some fundamental problems concerning RBF(radial-basis-function) networks and approximation of functions are addressed. First, a comprehensive introduction to RBF networks is given with typical RBF networks classified into three classes. Next, sharp conditions are given under which continuous functions of a finite number of real variables can be approximated arbitrarily well by a certain class of RBF networks. Finally, a related result is given concerning the representation of functions in the form of distributed RBF networks.

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A Note on A Bayesian Approach to the Choice of Wavelet Basis Functions at Each Resolution Level

  • Park, Chun-Gun
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1465-1476
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    • 2008
  • In recent years wavelet methods have been focused on block shrinkage or thresholding approaches to accounting for the sparseness of the wavelet representation for an unknown function. The block shrinkage or thresholding methods have been developed in both of classical methods and Bayesian methods. In this paper, we propose a Bayesian approach to selecting wavelet basis functions at each resolution level without MCMC procedure. Simulation study and an application are shown.

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A Theory on the Construction of Binary Sequences with Ideal Atutocorrelation

  • No, Jong-Seon;Yang, Kyeong-Cheol;Chung, Ha-Bong;Song, Hong-Yeop
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.223-228
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    • 1997
  • In this paper, we present a closed-form expression of binary sequences of longer period with ideal autocorrelation property in a trace representation, if a given binary sequence with ideal autocorrelation property is described using the trace function. We also enumerate the number of cyclically distinct binary sequences of a longer period with ideal autocorrelation property, which are extended from a given binary sequence with ideal autocorrelation property.

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Analysis of Waveguide Junction in H-Plane Using Finite Element-Boundary Element Method (혼합 유한요소법을 사용한 H-평면의 도파관 접합 해석)

  • 정진교;천창열;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.666-672
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    • 1994
  • An H-Plane waveguide component with arbitrary shape is analyzed using finite element method(FEM) Cooperated with boundary element method(BEM). For the application of BEM in the waveguide structure, a ray representation of the waveguide Green's function is used. This technique is applied to the analysis of the waveguide inductive junction. The results are compared with the results of the mode matching technique. The comparison shows good agreement.

User-interface design of a hypermedia system for effective searching and browsing (효율적인 탐색과 브라우징을 지원하는 하이퍼미디어 시스템의 사용자 인터페이스 설계)

  • 고영곤;최윤철
    • Journal of the Ergonomics Society of Korea
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    • v.12 no.1
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    • pp.75-86
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    • 1993
  • Hypermedia systems allow the retrieval and representation of multimedia in- formation such as text, graphics, image and voice/sound using navigation and browsing mechanisms. In this study we developed a hypermedia system which provides hierarchical group, local map and cluster view for effective navigation in hyperspace. The system also supports hot link, reference link, move-to link and multiple link to browse the multimedia information space effectively. This system has been designed to integrate the navigation, browsing and searching function of the hypermedia system in hyman factor perspective and provides the user-friendly user interface mechanism.

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A Study on the Frequency Response Representation of Filter Network by Bondgraph Modeling (본드그래프 모델링에 의한 필터회로망의 주파수응답 표현에 관한 연구)

  • 신위재;이형기;김명기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.3
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    • pp.177-186
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    • 1990
  • This paper present an analysis of filter network using bondgraph technique for the determination of cofficients of filter function not by means of Computations operation. The proposed bondgraph technique is confirmed to be suitable for obtaining the frequency response characteristics of filter network.

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Position Control of Fuzzy-Sliding Mode Controller (퍼지-슬라이딩모드 제어를 이용한 위치제어에 관한 연구)

  • 한경욱;임영도
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.221-224
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    • 2000
  • We consider one of robust controller, fuzzy-sliding mode controller dealing with model uncertainty, simplified representation of nonlinear system, changed parameters of plant. We propose fuzzy-sliding mode algorithm which provides control input that has system states approaching the choosed sliding surface. This fuzzy controller has a rule base to get initial states converged on sliding surface. This algorithm Is applied to a transfer function of DC motor to be modeled simply and do position control of DC motor due to system parameters. We compare fuzzy-sliding mode controller to both sliding mode controller and fuzzy controller to identify roust control.

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A Note on Continued Fractions and Mock Theta Functions

  • Srivastava, Pankaj;Gupta, Priya
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.173-184
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    • 2016
  • Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.

PARTIAL SECOND ORDER MOCK THETA FUNCTIONS, THEIR EXPANSIONS AND PADE APPROXIMANTS

  • Srivastava, Bhaskar
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.767-777
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    • 2007
  • By proving a summation formula, we enumerate the expansions for the mock theta functions of order 2 in terms of partial mock theta functions of order 2, 3 and 6. We show a relation between Ramanujan's ${\mu}(q)$-function and his sixth order mock theta functions. In addition, we also give the continued fraction representation for ${\mu}(q)$ and 2nd order mock theta functions and $Pad\acute{e}$ approximants.

Adaptive SDF filter design using the Widrow-Hoff learning rule (신경회로망의 학습규칙을 이용한 SDF 적응 필터 설계)

  • 김홍만
    • Proceedings of the Optical Society of Korea Conference
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    • 1989.02a
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    • pp.103-106
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    • 1989
  • A method of adaptive formation of the synthetic discriminant function(SDF) both in image plane and spatial frequency plane by using the Widrow-Hoff learning rule is proposed. The proposed method uses minimum number of interconnections between neurons so it can reduce the time for learning the neural net. Also complex valued interconnection weights are introduced for the purposes of handling the phase objects or Fourier transformed spatial frequency objects which usually have complex values for the representation of not only amplitude but also phase information. Also methods of optical implementation for the complex valued interconnection weights are discussed.

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