• Title/Summary/Keyword: 근사적 가중함수

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비매개변수적 Kernel 가중함수의 수문학적 응용

  • 문영일
    • Water for future
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    • v.33 no.5
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    • pp.49-55
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    • 2000
  • 전통적인 매개변수적 목적함수 추정방법은 관측자료의 모든 영역에 걸쳐 선형 또는 지수함수 형태의 가정을 기본으로 매개변수를 추정하는 반면 비매개 변수적 Kernel 가중함수를 이용한 방법은 목적함수의 형태에 대한 가정이 필요 없이 관심 있는 임의의 추정지점에서 이웃하는 자료를 이용하여 목적함수를 국지적으로 근사하는 방법이다. 추계학적 수문학의 전형적인 문제인 "목적함수의 가정"에 의해 발생되는 문제를 줄이려는 노력의 일환으로 비매개변수적 Kernel 가중함수를 이용하는 방법에 연구되었고, 본 지면에서는 Kernel 가중함수를 이용한 비매개변수적 확률밀도함수의 기본이론과 빈도해석, 회귀모형 및 비동질성 천이확률 등의 수문학적 응용에 대하여 살펴보았다.

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A study on the calculation of stress intensity factor for a patched crack using approximate weight function (근사적 가중함수를 이용한 보강된 균열평판의 응력강도계수 계산에 대한 연구)

  • Kim, Jong-Ho;Lee, Soon-Bok
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.123-128
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    • 2000
  • A cracked-plate with a patch bonded on one side is treated with a crack-bridging model: assuming continuous distribution of springs acting between crack surfaces. the approximate weight function was introduced to obtain the stress intensity factor of patched crack subjected to residual stress or non-uniform stress. The stress intensity factors for the partially patched crack within finite plate or the patched crack initiated from a notch were successfully obtained by numerical calculation.

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A comparison on coefficient estimation methods in single index models (단일지표모형에서 계수 추정방법의 비교)

  • Choi, Young-Woong;Kang, Kee-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1171-1180
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    • 2010
  • It is well known that the asymptotic convergence rates of nonparametric regression estimator gets worse as the dimension of covariates gets larger. One possible way to overcome this problem is reducing the dimension of covariates by using single index models. Two coefficient estimation methods in single index models are introduced. One is semiparametric least square estimation method, which tries to find approximate solution by using iterative computation. The other one is weighted average derivative estimation method, which is non-iterative method. Both of these methods offer the parametric convergence rate to normal distribution. However, practical comparison of these two methods has not been done yet. In this article, we compare these methods by examining the variances of estimators in various models.

Confidence Intervals for a Linear Function of Binomial Proportions Based on a Bayesian Approach (베이지안 접근에 의한 모비율 선형함수의 신뢰구간)

  • Lee, Seung-Chun
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.257-266
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    • 2007
  • It is known that Agresti-Coull approach is an effective tool for the construction of confidence intervals for various problems related to binomial proportions. However, the Agrest-Coull approach often produces a conservative confidence interval. In this note, confidence intervals based on a Bayesian approach are proposed for a linear function of independent binomial proportions. It is shown that the Bayesian confidence interval slightly outperforms the confidence interval based on Agresti-Coull approach in average sense.

Experimental Determination of Differential Fast Neutron Spectra in a Reactor using Threshold Detectors

  • Kim, Dong-Hoon
    • Nuclear Engineering and Technology
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    • v.4 no.4
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    • pp.280-293
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    • 1972
  • The differential fast neutron spectra above 0.5 Mev at particular spatial positions in tile reactor(TRIGA MARK-II) core has been determined experimentally using several threshold activation detectors. The series expansion technique utilizing the concept of least squares optimization was used to obtain an approximate solution to the set of integral equations which are defined by the experimentally determined activation data. The influence of use of different weighting functions in the solution was analyzed in each measurement. To carry out the necessary mathematical calculations, a computer code for the UNIVAC 1106 digital computer has been prepared. Good agreement was achieved between the differential fast neutron spectra determined in this work and the computed flux determined independently using space-independent multigroup transport theory.

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Cross Correlations between Probability Weighted Moments at Each Sites Using Monte Carlo Simulation (Monte Carlo 모의를 이용한 지점 간 확률가중모멘트의 교차상관관계)

  • Shin, Hong-Joon;Jung, Young-Hun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.42 no.3
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    • pp.227-234
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    • 2009
  • In this study, cross correlations among sample data at each site are calculated to obtain the asymptotic cross correlations among probability weighted moments at each site using Monte Carlo simulation. As a result, the relations between the asymptotic cross correlations among probability weighted moments and the inter-site dependence among sample data at each site are nearly a linear relation with slope 1. The smaller ratio of concurrent data size to entire sample size is, the weaker the relationship grows. Simple power function which the correction term in power function accounts for the differences of the sample size between two sites was fitted to each case to estimate the parameter. It is noted that this result can be used in the various researches which include the estimation of the variance of quantile considering cross correlations.

Material Decomposition through Weighted Image Subtraction in Dual-energy Spectral Mammography with an Energy-resolved Photon-counting Detector using Monte Carlo Simulation (몬테카를로 시뮬레이션을 이용한 광자계수검출기 기반 이중에너지 스펙트럼 유방촬영에서 가중 영상 감산법을 통한 물질분리)

  • Eom, Jisoo;Kang, Sooncheol;Lee, Seungwan
    • Journal of radiological science and technology
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    • v.40 no.3
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    • pp.443-451
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    • 2017
  • Mammography is commonly used for screening early breast cancer. However, mammographic images, which depend on the physical properties of breast components, are limited to provide information about whether a lesion is malignant or benign. Although a dual-energy subtraction technique decomposes a certain material from a mixture, it increases radiation dose and degrades the accuracy of material decomposition. In this study, we simulated a breast phantom using attenuation characteristics, and we proposed a technique to enable the accurate material decomposition by applying weighting factors for the dual-energy mammography based on a photon-counting detector using a Monte Carlo simulation tool. We also evaluated the contrast and noise of simulated breast images for validating the proposed technique. As a result, the contrast for a malignant tumor in the dual-energy weighted subtraction technique was 0.98 and 1.06 times similar than those in the general mammography and dual-energy subtraction techniques, respectively. However the contrast between malignant and benign tumors dramatically increased 13.54 times due to the low contrast of a benign tumor. Therefore, the proposed technique can increase the material decomposition accuracy for malignant tumor and improve the diagnostic accuracy of mammography.

An Improved Structural Reliability Analysis using Moving Least Squares Approximation (이동최소제곱근사법을 이용한 개선된 구조 신뢰성 해석)

  • Kang, Soo-Chang;Koh, Hyun-Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6A
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    • pp.835-842
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    • 2008
  • The response surface method (RSM) is widely adopted for the structural reliability analysis because of its numerical efficiency. However, the RSM is still time consuming for large-scale applications and sometimes shows large errors in the calculation of sensitivity of reliability index with respect to random variables. Therefore, this study proposes a new RSM in which moving least squares (MLS) approximation is applied. Least squares approximation generally used in the common RSM gives equal weight to the coefficients of the response surface function (RSF). On the other hand, The MLS approximation gives higher weight to the experimental points closer to the design point, which yields the RSF more similar to the limit state at the design point. In the procedure of the proposed method, a linear RSF is constructed initially and then a quadratic RSF is formed using the axial experimental points selected from the reduced region where the design point is likely to exist. The RSF is updated successively by adding one more experimental point to the previously sampled experimental points. In order to demonstrate the effectiveness of the proposed method, mathematical problems and ten-bar truss are considered as numerical examples. As a result, the proposed method shows better accuracy and computational efficiency than the common RSM.

Numerical Formulation for Flow Analysis of Dredged Soil (준설토 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.3
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    • pp.41-48
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    • 2014
  • Experimental study of sedimentation and self-weight consolidation has been primary research area in dredged soil. However, good quality of the dredged soil and minimum water pollution caused by the pumping of reclaimed soil require intensive study of the flow characteristics of dredged material due to dumping. In this study, continuity and the equilibrium equations for mass flow assuming single phase was derived to simulate mass flow in dredged containment area. To optimize computation and modeling time for three dimensional geometry and boundary conditions, depth integration is applied to governing equations to consider three dimensional topography of the site. Petrov-Galerkin formulation is applied in spatial discretization of governing equations. Generalized trapezoidal rule is used for time integration, and Newton iteration process approximated the solution. DG and CDG technique were used for weighting matrix in discontinuous test function in dredged flow analysis, and numerical stability was evaluated by performed a square slump simulation. A comparative analysis for numerical methods showed that DG method applied to SU / PG formulation gives minimal pseudo oscillation and reliable numerical results.

Application of Optimal Control Techniques to SWATH Motion Control (반잠수 쌍동선의 최적 운동제어기 설계)

  • Chan-Wook Park;Bo-Hyeon Heo;Chun-Tae Song
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.2
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    • pp.65-77
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    • 1994
  • This paper presents a derailed application procedure of the linear quadratic(LQ) theory for a SWATH heave and pitch control. A time domain model of coupled, linear time-invariant second order differential equations is derived from the frequency response model with the frequency dependent added mass and damping approximated as constant values at the heave natural frequency. Wave exciting forces are modeled as a sum of sinusoids. A systematic selection procedure of state and control weighting matrices is presented to obtain good transient behavior and acceptable fin movement. The validity of this controller design process is throughly investigated by simulations both in time domain and frequency domain and singular value plots of transfer function matrices. The finally designed control system shows good overall performances revealing that the applicability of the present study is proved successful.

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