• Title/Summary/Keyword: 함수 근사 모멘트 기법

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Independent Component Analysis Using Fixed Point Algorithm Based on Newton and Secant Method Including Moment (모멘트와 뉴우턴법 및 할선법에 기초한 고정점 알고리즘의 독립성분분석 기법)

  • 민성재;조용현
    • Proceedings of the Korea Multimedia Society Conference
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    • 2002.05c
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    • pp.320-324
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    • 2002
  • 본 연구에서는 모멘트와 뉴우턴법 및 모멘트와 할선법에 각각 기초한 고정점 알고리즘의 신경망 기반 독립성분분석 기법을 제안하였다. 여기서 뉴우턴법과 할선법은 각각 엔트로피에 기초한 목적함수의 근을 구하는 근사화 방법으로 빠른 경신을 위함이고, 모멘트는 근사화에 의한 역혼합행렬의 경신과정에서 발생하는 발진을 줄여 좀 더 빠른 학습을 위함이다. 제안된 기법을 256×256 픽셀(pixel)의 8개 지문영상으로부터 임의의 혼합행렬에 따라 발생되는 영상들을 각각 대상으로 시뮬레이션 한 결과, 모멘트와 할선법에 기초한 알고리즘이 모멘트와 뉴우턴에 기초한 알고리즘보다 우수한 분리성능과 빠른 학습속도가 있음을 확인하였다.

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모멘트 법의 이론과 응용

  • 김정기
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.2 no.4
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    • pp.55-65
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    • 1991
  • 본고의 목적은 선형 전자장 문제의 해를 구하기 위한 일반적이 절차에 대해 간단히 소개하고, 이것을 전자장 문제에 적용시켜 보는 것이다. 이것은 원시 함수 방정식이 행렬 방정식으로 유도되기 때문에, 이러한 과 정을 행렬 방법이라고도 한다. 수학적인 과정으로 행렬 방정식을 얻는 것을 모멘트 법이라고 한다. 종종 이런 과정을 근사 기법이라고도 한다. 그러나 이것은 해가 극한에서 수렴할때에는 틀린 명칭이다. 주어진 정확도를 위해서는 다른 해들과는 달리 계산시간이 많이 요구되는데, 예로 무한 멱급수 전개를 들 수 있다. 물론, 이 방법 은 정확하게 근사해를 구하는데 사용된다. 즉, 이 근사해는 극한에서 수렴하지 않는다. 모멘트 법은 전자장 문제를 다루기 위한 일반적인 절차이지만, 해를 구하는 과정은 특별한 문제에도 폭넓게 적용할 수 있다. 본고에서는 이 방법의 과정을 설명할 뿐만 아니라, 전자장 문제를 다루는 예를 들었다. 이런 예들을 가지고 유사한 문제의 해를 구할 수 있으며, 다른 유형의 문제들에 대해서는 적절하게 확장, 또 는 일부 수정을 하여 해를 구할 수 있다. 전자장 부분에서 예를 들었지만, 이 과정은 모든 종류의 전자장 문제에 적용할 수 있다.

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Change of stochastic properties of MEMS structure in terms of dimensional variations using function approximation moment method (함수 근사 모멘트 기법을 활용한 치수 분포에 따른 MEMS 구조물의 통계적 특성치 변화에 관한 연구)

  • Huh J.S.;Kwak B.M.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.602-606
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    • 2005
  • A systematic procedure of probability analysis for general distributions is developed based on the first four moments estimated from polynomial interpolation of the system response function and the Pearson system. The function approximation is based on a specially selected experimental region for accuracy and the number of function evaluations is taken equal to that of the unknown coefficient for efficiency. For this purpose, three error-minimizing conditions are proposed and corresponding canonical experimental regions are formed for popular probability. This approach is applied to study the stochastic properties of the performance functions of a MEMS structure, which has quite large fabrication errors compared to other structures. Especially, the vibratory micro-gyroscope is studied using the statistical moments and probability density function (PDF) of the performance function to be the difference between resonant frequencies corresponding to sensing and driving mode. The results show that it is very sensitive to the fabrication errors and that the types of PDF of each variable also affect the stochastic properties of the performance function although they have same the mean and variance.

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Error Performance of BPSK and QPSK Signals with Diversity Reception in Mobile-Satellite Communication Channel (이동 위성 통신 채널에서 다이버시티 수신기법을 적용한 BPSK 및 QPSK 신호의 오율 특성)

  • 박해천;강영흥;황인관;조성준
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.5 no.3
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    • pp.36-47
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    • 1994
  • The error performance of BPSK and QPSK signals with diversity reception in mobile-satellite channel is investigated considering nonlinearity of TWT (Traveling Wave Tube) amplifier in the presence of AWGN(Additive White Gaussian Noise) on the uplink and downlink paths. It is assumed that the fading on the dounlink path forms a Rician distribution. The Rician distribution is approximated by discrete probability values. The values are firstly found by Classical Moment Technique.

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An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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A spatial analysis of Neyman-Scott rectangular pulses model using an approximate likelihood function (근사적 우도함수를 이용한 Neyman-Scott 구형펄스모형의 공간구조 분석)

  • Lee, Jeongjin;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.5
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    • pp.1119-1131
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    • 2016
  • The Neyman-Scott Rectangular Pulses Model (NSRPM) is mainly used to construct hourly rainfall series. This model uses a modest number of parameters to represent the rainfall processes and underlying physical phenomena, such as the arrival of storms or rain cells. In NSRPM, the method of moments has often been used because it is difficult to know the distribution of rainfall intensity. Recently, approximated likelihood function for NSRPM has been introduced. In this paper, we propose a hierarchical model for applying a spatial structure to the NSRPM parameters using the approximated likelihood function. The proposed method is applied to summer hourly precipitation data observed at 59 weather stations (Korea Meteorological Administration) from 1973 to 2011.

Electromagnetic Wave Scattering from a Perfectly Conducting Random Rough Surface with Considering the Edge Effect (가장자리 효과가 고려된 임의의 기복을 가진 완전도체 표면에서의 전자파 산란)

  • 최동묵;김채영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.3B
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    • pp.244-250
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    • 2002
  • In this paper, rile scattered field from a random rough perfectly conducting surface by method of moment(MoM) was computed. A one-dimensional random rough surface predetermined statistical properties was generated by a digital computer. The number of surface realization for the computed field and the width of surface realization are set to be 100, 80 λ, respectively. To eliminate the scattering from the ends of the surface, the Gaussian taper function is used. Using Monte Carlo technique, we calculated hi-static scattering and back scattering coefficient. In order to verify the result by MoM we compare the MoM results with those of Kirchhoff approximations, which show good agreement between them.

Multi-Level Optimization of Framed Structures Using Automatic Differentiation (자동미분을 이용한 뼈대구조의 다단계 최적설계)

  • Cho, Hyo-Nam;Chung, Jee-Sung;Min, Dae-Hong;Lee, Kwang-Min
    • Journal of Korean Society of Steel Construction
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    • v.12 no.5 s.48
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    • pp.569-579
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    • 2000
  • An improved multi-level (IML) optimization algorithm using automatic differentiation (AD) of framed structures is proposed in this paper. For the efficiency of the proposed algorithm, multi-level optimization techniques using a decomposition method that separates both system-level and element-level optimizations, that utilizes and an artificial constraint deletion technique, are incorporated in the algorithm. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses such as moments and frequencies with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by AD that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. The efficiency and robustness of the IML algorithm, compared with a plain multi-level (PML) algorithm, is successfully demonstrated in the numerical examples.

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Multi-Objective Optimization of Steel Frames For Standardized Steel Profiles Under Seismic Loads (지진하중을 받는 강뼈대구조물의 표준단면에 대한 다목적 최적설계)

  • Cho, Hyo Nam;Min, Dae Hong;Jeong, Bong Gyo
    • Journal of Korean Society of Steel Construction
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    • v.14 no.6
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    • pp.783-791
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    • 2002
  • An improved formulation for multi-objective optimization was proposed. This formulation was applied to steel seismic loads. The multi-objective optimization problem was formulated with minimum structural weight, maximum strstability. The global criterion method was employed to find a rational solution closest to the ideal solution for the optimization problem using standard steel profile, To efficiently solve the optimization problem, the decomposition meth both system-level and element-level was used. In addition, various techniques including efficient reanalysis technique intermediate variables and sensitivity analysis using an automatic differentiation(AD) were incorporated. Moreover the reamong section properties fitted to the section profile used in order to link the system level and the element level. From numerical investigation, it could be stated that the proposed method will lead to the more rational design compared with one.