• Title/Summary/Keyword: Gaussian Approximation

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복사에 관여하는 유한 원통형 매질에서의 복사열 전달 (Radiative Heat Transfer in Radiatively Particpating Finite Cylindrical Media - Exact and P-N Solutions -)

  • 서인수;손종관;임승욱;이준식
    • 대한기계학회논문집
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    • 제12권6호
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    • pp.1428-1437
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    • 1988
  • 본 연구에서는 흡수, 방사 및 비등방성 산란을 하는 축대칭 유한원통형매질에 서의 형식해로부터 Gaussian Quadrature를 이용하여 수치적으로 엄밀해를 구하고 P-1 과 P-3근사해법을 통하여 얻어진 해와 비교하여 P-1과 P-3근사해법의 타당성을 검토하 였다.또한 매질의 광학두께, 산란알베도, 벽면방사율, 형상계수 등을 주요 파라미 터로 하여 이들의 영향에 대하여 고찰하였다.

동일채널간섭이 존재하는 홈 네트워크에서의 성능 평가 (Performance Evaluation of a Wireless Home Network in the Presence of Co-Channel Interference)

  • 노재성;예휘진
    • 디지털콘텐츠학회 논문지
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    • 제8권4호
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    • pp.491-497
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    • 2007
  • 무선 홈 응용을 실현하는데 있어서 근거리 네트워킹 기술의 중요성은 증가하고 있다. 예를 들어, 블루투스와 IEEE 802.11b 표준은 무선 홈 응용 구축을 위한 가장 일반적으로 사용되고 있는 기술들이다. 하지만 두 표준은 동일한 무허가 ISM(Industrial, Scientific, Medical) 무선 스펙트럼 대역을 공유하기 때문에 심각한 간섭을 피할 수 없으며, 두 기술을 사용하는 이종 디바이스가 아주 근접하여 있을 경우에 시스템 성능은 심각하게 손상을 받는다. 본 논문에서 연구한 가우시안 FSK 블루투스 시스템은 전자기기 사이의 무선 연결성을 위한 근거리 무선통신 기술의 표준이다. 본 논문에서는 가우시안 FSK 블루투스 시스템에서 동일채널간섭의 영향을 분석하였다. 본 연구에서 사용한 성능 평가 요소는 무선 채널에서의 SIR, 간섭 지수 $\rho$, 그리고 BER 등이며 이를 기반으로 성능을 평가하였다. 가우시안 FSK 블루투스 시스템의 성능 평가에서 다양한 소스로 부터의 동일채널간섭의 영향은 IGA(Impulsive Gaussian Approximation) 방식을 이용하여 분석하였고 다양한 채널상태를 나타내기 위하여 Eb/No, $\rho$와 SIR 값에 따라서 블루투스 시스템의 성능을 분석하여 결과 그래프에 나타내었다.

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Development of a novel fatigue damage model for Gaussian wide band stress responses using numerical approximation methods

  • Jun, Seock-Hee;Park, Jun-Bum
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.755-767
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    • 2020
  • A significant development has been made on a new fatigue damage model applicable to Gaussian wide band stress response spectra using numerical approximation methods such as data processing, time simulation, and regression analysis. So far, most of the alternative approximate models provide slightly underestimated or overestimated damage results compared with the rain-flow counting distribution. A more reliable approximate model that can minimize the damage differences between exact and approximate solutions is required for the practical design of ships and offshore structures. The present paper provides a detailed description of the development process of a new fatigue damage model. Based on the principle of the Gaussian wide band model, this study aims to develop the best approximate fatigue damage model. To obtain highly accurate damage distributions, this study deals with some prominent research findings, i.e., the moment of rain-flow range distribution MRR(n), the special bandwidth parameter μk, the empirical closed form model consisting of four probability density functions, and the correction factor QC. Sequential prerequisite data processes, such as creation of various stress spectra, extraction of stress time history, and the rain-flow counting stress process, are conducted so that these research findings provide much better results. Through comparison studies, the proposed model shows more reliable and accurate damage distributions, very close to those of the rain-flow counting solution. Several significant achievements and findings obtained from this study are suggested. Further work is needed to apply the new developed model to crack growth prediction under a random stress process in view of the engineering critical assessment of offshore structures. The present developed formulation and procedure also need to be extended to non-Gaussian wide band processes.

A new high-order response surface method for structural reliability analysis

  • Li, Hong-Shuang;Lu, Zhen-Zhou;Qiao, Hong-Wei
    • Structural Engineering and Mechanics
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    • 제34권6호
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    • pp.779-799
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    • 2010
  • In order to consider high-order effects on the actual limit state function, a new response surface method is proposed for structural reliability analysis by the use of high-order approximation concept in this study. Hermite polynomials are used to determine the highest orders of input random variables, and the sampling points for the determination of highest orders are located on Gaussian points of Gauss-Hermite integration. The cross terms between two random variables, only in case that their corresponding percent contributions to the total variation of limit state function are significant, will be added to the response surface function to improve the approximation accuracy. As a result, significant reduction in computational cost is achieved with this strategy. Due to the addition of cross terms, the additional sampling points, laid on two-dimensional Gaussian points off axis on the plane of two significant variables, are required to determine the coefficients of the approximated limit state function. All available sampling points are employed to construct the final response surface function. Then, Monte Carlo Simulation is carried out on the final approximation response surface function to estimate the failure probability. Due to the use of high order polynomial, the proposed method is more accurate than the traditional second-order or linear response surface method. It also provides much more efficient solutions than the available high-order response surface method with less loss in accuracy. The efficiency and the accuracy of the proposed method compared with those of various response surface methods available are illustrated by five numerical examples.

가우시안 과정 분류에 대한 변분 베이지안 다항 프로빗 모형: 쥐 단백질 발현 데이터에의 적용 (Variational Bayesian multinomial probit model with Gaussian process classification on mice protein expression level data)

  • 손동현;황범석
    • 응용통계연구
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    • 제36권2호
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    • pp.115-127
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    • 2023
  • 다항 프로빗 모형은 다중 분류와 선택 모형에서 흔히 사용하는 모형이다. 다항 프로빗 모형을 추정하기 위해 일반적으로 널리 사용하는 베이지안 접근법인 마르코프 연쇄 몬테카를로(MCMC) 방법은 계산 복잡도가 매우 높다는 문제점을 가지고 있다. 반면, 변분 베이즈 방법은 MCMC 방법보다 계산 복잡도는 낮으면서도 분류 성능적인 면에서 큰 차이가 나지 않아 더 효율적인 방법으로 알려져 있다. 본 연구에서는 가우시안 과정에 기반한 다항 프로빗 모형을 설명하고 해당 모형에 적용할 수 있는 변분 베이지안 근사법을 알아보고자 한다. 그리고 UCI에서 제공되는 쥐 단백질 발현 데이터에 가우시안 과정 분류에 대한 변분 베이지안 다항 프로빗 모형을 적용하여 그 성능을 확인하고 나이브 베이즈, K-최근접 이웃법, 서포트 벡터 머신 분류기의 성능과 비교한다.

Approximations of Optimal Calibration Experimental Designs Using Gaussian Influence Diagrams

  • Kim, Sung-Chul
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.219-234
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    • 1993
  • A measuring instrument must be calibrated for accurate inferences of an unknown quantity. Bayesian calibration designs with respect to squared error loss based on a linear model are discussed in Kim and Barlow (1992). In this paper, we consider approximations of the optimal calibration designs using the idea of Gaussian inflence diagrams. The approximation is evaluated by means of numerical calculations, where it is compared with the exact values from the numerical integration.

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가우시안 근사를 이용한 6 MeV 전자선의 에너지분포에 관한 연구 (Study on Energy Distribution of the 6 MeV Electron Beam using Gaussian Approximation)

  • 이정옥;김승곤
    • 대한방사선기술학회지:방사선기술과학
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    • 제22권2호
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    • pp.53-56
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    • 1999
  • A Gaussian distribution was parametrized for the initial distribution of the electron beam emitted from a 6MeV medical linear accelerator. A percent depth dose was measured in a water phantom and the corresponding Monte Carlo calculations were performed starting from a Gaussian distribution for a range of standard deviations, ${\sigma}=0.1$, 0.15, 0.2, 0.25, and 0.3 with being the mean value for the Incident beam energy. When measurement and calculation were compared, the calculation with the Gaussian distribution for ${\sigma}=0.25$ turned out to agree best with the measurement. The results from the present work can be utilized as input energy data in planning an electron beam therapy with a Monte Carlo calculation.

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Fast Bilateral Filtering Using Recursive Gaussian Filter for Tone Mapping Algorithm

  • 프리마스투티 대위;남진우;차의영
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2010년도 춘계학술대회
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    • pp.176-179
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    • 2010
  • In this paper, we propose a fast implementation of Bilateral filter for tone mapping algorithm. Bilateral filter is able to preserve detail while at the same time prevent halo-ing artifacts because of improper scale selection by ensuring image smoothed that not only depend on pixel closeness, but also similarity. We accelerate Bilateral filter by using a piecewise linear approximation and recursive Gaussian filter as its domain filter. Recursive Gaussian filter is scale independent filter that combines low cost 1D filter which makes this filter much faster than conventional convolution filter and filtering in frequency domain. The experiment results show that proposed method is simpler and faster than previous method without mortgaging the quality.

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APPROXIMATION METHOD FOR SCATTERED DATA FROM SHIFTS OF A RADIAL BASIS FUNCTION

  • Yoon, Jung-Ho
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1087-1095
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    • 2009
  • In this paper, we study approximation method from scattered data to the derivatives of a function f by a radial basis function $\phi$. For a given function f, we define a nearly interpolating function and discuss its accuracy. In particular, we are interested in using smooth functions $\phi$ which are (conditionally) positive definite. We estimate accuracy of approximation for the Sobolev space while the classical radial basis function interpolation applies to the so-called native space. We observe that our approximant provides spectral convergence order, as the density of the given data is getting smaller.

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