• Title/Summary/Keyword: 뉴튼-랩슨 방법

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Statistical Modeling of Learning Curves with Binary Response Data (이항 반응 자료에 대한 학습곡선의 모형화)

  • Lee, Seul-Ji;Park, Man-Sik
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.433-450
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    • 2012
  • As a worker performs a certain operation repeatedly, he tends to become familiar with the job and complete it in a very short time. That means that the efficiency is improved due to his accumulated knowledge, experience and skill in regards to the operation. Investing time in an output is reduced by repeating any operation. This phenomenon is referred to as the learning curve effect. A learning curve is a graphical representation of the changing rate of learning. According to previous literature, learning curve effects are determined by subjective pre-assigned factors. In this study, we propose a new statistical model to clarify the learning curve effect by means of a basic cumulative distribution function. This work mainly focuses on the statistical modeling of binary data. We employ the Newton-Raphson method for the estimation and Delta method for the construction of confidence intervals. We also perform a real data analysis.

Analysis of the 3-Phase Transformer Considering the Anisotropic Property (이방성을 고려한 삼상변압기의 특성해석)

  • Lee, C.H.;Kim, H.K.;Jung, H.K.;Hong, S.K.
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.267-269
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    • 1997
  • 유한요소법에 의해 자계를 계산할 경우에 일정한 투자율을 두고 선형 해석을 하거나 비선형을 고려할 때에는 하나의 자화곡선을 이용한 뉴튼 랩슨법이 많이 사용된다. 그러나 최근 자계의 세기와 자속밀도간의 위상차를 고려할 수 있는 계산법에 대한 연구가 늘어나면서 여러 가지 방법들이 제시되고 있다. 본 논문에서는 간단한 실험데이타를 이용하여 정확히 자계의 세기와 자속밀도간의 비선형성을 고려하면서 특히, 이방성이 강한 재료를 사용하는 전기기기의 해석에 적합한 방법을 제안하며, 이 방법에 의해 삼상 변압기의 코어에서의 자계를 계산하며, 계산 결과에서 기존의 방법으로는 어려운 이방성 영향을 정확히 고려할 수 있음을 실험에 의하여 검증하였다.

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A Study on the Numerical Technique for the Nonlinear Deformation Analysis of Solid Structures(1) -General Theory Development- (고체구조물의 비선형변형 수치해석에 대한 이론적 고찰(1) -일반이론-)

  • Youngjoo Kwon
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.10
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    • pp.193-202
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    • 1998
  • 본 논문에서는 비선형 고체역학 이론에 대하여 특히 시간에 무관한 변형을 하는 초탄성 및 탄소성고체물질의 비선형 변형이론에 대하여 철저한 분석을 수행하였다 특히 비선형 변형의 해석방범론에 대하여 특별한 관심을 가지고 분석하였다. 비선형 변형해석 방법론으로 널리 논의되고 있는 증분뉴튼랩슨 방법에 대하여 수정된 개념을 제시하여 비선형 변형 해석의 정 확성을 향상시켰다.

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3-Dimensional Equilibrium Position Searching of HDD/Head System using Multi-Dimensional Newton-Raphson Method (다차원 뉴튼-랩슨 방법을 이용한 하드 디스크/헤드 시스템의 3차원 평형위치 검색)

  • Chang, In-Bae
    • Journal of Industrial Technology
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    • v.15
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    • pp.203-208
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    • 1995
  • This paper suggests the three dimensional steady state searching techniques of hard disk/head system, which has some skew angle with flexure. In order to analyze the steady state behaviors of magnetic head slider, the localized Knudsen number and the localized bearing numbers are sued. For finding the steady state of magnetic head slider under the pre-loaded condition, I proposed multi-dimensional Newton-Raphson method which traces the equilibrium position of magnetic head slider, which has 3-degrees of freedom, using Jacobian matrix. The multi-dimensional Newton-Raphson method is very efficient technique for finding the steady state position of magnetic head slider because it approaches to the equilibrium position with changing three parameters simultaneously.

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Development of Optimum Structural Analysis Program for Space Truss Structures (스페이스 트러스 구조에 대한 최적화 구조 해석 프로그램의 개발)

  • Sohn, Su Deok;Kim, Myung Sun;Kim, Seung Deog;Kang, Moon Myung
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.487-495
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    • 1998
  • Recently, the space truss has been attracted by many designers because of their ability to support significant loads with a minimum material. And it is relatively flexible to design the configuration of structures. This paper presents a volume optimization for the space truss on the basis of result evaluated from nonlinear analysis. The optimization of the truss is done by nonlinear optimum GINO(General Interactive Nonlinear Optimizer) program. The objective function considered is the volume of the steel bars. The constraints for optimum design are the design limits, such as the axial force strength, maximum slenderness, minimum thickness, allowable deflection and ratio of the external diameter to thickness of the circular tube bars.

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Regression models for interval-censored semi-competing risks data with missing intermediate transition status (중간 사건이 결측되었거나 구간 중도절단된 준 경쟁 위험 자료에 대한 회귀모형)

  • Kim, Jinheum;Kim, Jayoun
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1311-1327
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    • 2016
  • We propose a multi-state model for analyzing semi-competing risks data with interval-censored or missing intermediate events. This model is an extension of the 'illness-death model', which composes three states, such as 'healthy', 'diseased', and 'dead'. The state of 'diseased' can be considered as an intermediate event. Two more states are added into the illness-death model to describe missing events caused by a loss of follow-up before the end of the study. One of them is a state of 'LTF', representing a lost-to-follow-up, and the other is an unobservable state that represents the intermediate event experienced after LTF occurred. Given covariates, we employ the Cox proportional hazards model with a normal frailty and construct a full likelihood to estimate transition intensities between states in the multi-state model. Marginalization of the full likelihood is completed using the adaptive Gaussian quadrature, and the optimal solution of the regression parameters is achieved through the iterative Newton-Raphson algorithm. Simulation studies are carried out to investigate the finite-sample performance of the proposed estimation procedure in terms of the empirical coverage probability of the true regression parameter. Our proposed method is also illustrated with the dataset adapted from Helmer et al. (2001).

A Study on the Queueing Process with Dynamic Structure for Speed-Flow-Density Diagram (동적구조를 갖는 대기행렬 모형: Speed-Flow-Density 다이어그램을 중심으로)

  • Park, You-Sung;Jeon, Sae-Bom
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1179-1190
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    • 2010
  • Management of the existing traffic network and understanding current traffic conditions is the most important and effective way to solve traffic congestion. This research investigates the status of Korea expressway through the Speed-Flow-Density diagram and finds the best suitable queueing model for each area. Dynamic structure in the queueing model enables us to reflect the structural change of the road in case of traffic congestion. To find the best model and estimate the parameters, we use the Newton-Raphson method. Finally, we examine the road efficiency in view of the optimal speed and density using the conditional distribution of speed and density of a S-F-D diagram.

Hierrachical manner of motion parameters for sports video mosaicking (스포츠 동영상의 모자익을 위한 이동계수의 계층적 향상)

  • Lee, Jae-Cheol;Lee, Soo-Jong;Ko, Young-Hoon;Noh, Heung-Sik;Lee Wan-Ju
    • The Journal of Information Technology
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    • v.7 no.2
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    • pp.93-104
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    • 2004
  • Sports scene is characterized by large amount of global motion due to pan and zoom of camera motion, and includes many small objects moving independently. Some short period of sports games is thrilling to televiewers, and important to producers. At the same time that kinds of scenes exhibit exceptionally dynamic motions and it is very difficult to analyze the motions with conventional algorithms. In this thesis, several algorithms are proposed for global motion analysis on these dynamic scenes. It is shown that proposed algorithms worked well for motion compensation and panorama synthesis. When cascading the inter frame motions, accumulated errors are unavoidable. In order to minimize these errors, interpolation method of motion vectors is introduced. Affined transform or perspective projection transform is regarded as a square matrix, which can be factorized into small amount of motion vectors. To solve factorization problem, we preposed the adaptation of Newton Raphson method into vector and matrix form, which is also computationally efficient. Combining multi frame motion estimation and the corresponding interpolation in hierarchical manner enhancement algorithm of motion parameters is proposed, which is suitable for motion compensation and panorama synthesis. The proposed algorithms are suitable for special effect rendering for broadcast system, video indexing, tracking in complex scenes, and other fields requiring global motion estimation.

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