• Title/Summary/Keyword: Stochastic Approximation

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Comparison of Target Approximation Techniques for Stereotactic Radiosurgical Plan

  • Choi, Kyoung-Sik;Oh, Seong-Jong;Lee, Jeong-Woo;Choe, Bo-Young;Kim, Moon-Chan;Chung, Hyun-Tai;Suh, Tae-Su
    • 한국의학물리학회:학술대회논문집
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    • 한국의학물리학회 2005년도 제30회 춘계학술대회
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    • pp.47-50
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    • 2005
  • The aim of radiosurgery cures a patient to deliver the lower dose at the normal organ and the higher dose at the tumor. Therefore accuracy of the dose is required to gain effect of radiosurgery in surgical planning. In this paper, we developed the methods of target approximation for a fast treatment planning. Nominally, the stereotactic radiosurgery(SRS) using Linac and Gamma knife produces spherical dose distribution through circular collimators using multiple arcs and 201 holes on semi-spherical helmet by $^{60}Co$. We developed an automatic radiosurgical plan about spherical packing arrangement. To automatically plan the SRS, new planning methods based on cylinder and cube structure for target shaping was developed. This approach using heuristic and stochastic algorithm is a useful radiosurgical plan without restrictions in the various tumor shapes and the different modalities.

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Balanced Simultaneous Confidence Intervals in Logistic Regression Models

  • Lee, Kee-Won
    • Journal of the Korean Statistical Society
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    • 제21권2호
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    • pp.139-151
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    • 1992
  • Simultaneous confidence intervals for the parameters in the logistic regression models with random regressors are considered. A method based on the bootstrap and its stochastic approximation will be developed. A key idea in using the bootstrap method to construct simultaneous confidence intervals is the concept of prepivoting which uses the transformation of a root by its estimated cumulative distribution function. Repeated use of prepivoting makes the overall coverage probability asymptotically correct and the coverage probabilities of the individual confidence statement asymptotically equal. This method is compared with ordinary asymptotic methods based on Scheffe's and Bonferroni's through Monte Carlo simulation.

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Reliability computation technique for ball bearing under the stress-strength model

  • Nayak, S.;Seal, B.
    • International Journal of Reliability and Applications
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    • 제17권1호
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    • pp.51-63
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    • 2016
  • Stress function of ball bearing is function of multiple stochastic factors and this system is so complex that analytical expression for reliability is difficult to obtain. To address this pressing problem, in this article, we have made an attempt to approximate system reliability of this important item based on reliability bounds under the stress strength setup. This article also provides level of error of this item. Numerical analysis has been adopted to show the closeness between the upper and lower bounds of this item.

적응형 확장 칼만 필터를 이용한 항공기의 비선형 상태추정 (The Nonlinear State Estimation of the Aircraft using the Adaptive Extended Kalman Filter)

  • Jong Chul Kim;Sang Jong Lee;Anatol A. Tunik
    • 제어로봇시스템학회논문지
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    • 제5권2호
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    • pp.158-165
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    • 1999
  • 비행시험을 통해 획득한 데이터의 해석과정에서 대상 항공기의 크기가 소형인 경우에는 엔진진동이나 외부의 교란에 의한 잡음이나 바이어스 등의 강도가 높기 때문에 데이터의 처리과정에서 많은 문제점을 산출하게 된다. 이와 같은 문제점을 해결하기 위해 상태추정 알고리즘이 사용되며, 본 논문에서는 항공기의 비선형 세로운동 방정식의 경우에 확장형 칼만 필터를 적용하여 항공기 세로운동의 상태변수들을 추정하였으며, 또한 확률근사과정, 이노베이션에 대한 궤환 적응 등 적응형 칼만 필터를 사용하여 수렴속도와 정확도 둥을 향상시킨 알고리즘을 제안하고 그 결과를 나타내었다.

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A Study of Designing of Multi-Carrier CDMA System with Multi- Detector based on DGT

  • Kong, Hyung-Yun;Ho, Kwang-Chun
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -2
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    • pp.1343-1345
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    • 2002
  • In this paper, we introduce the MC-CDMA (Multi-Carrier CDMA) system with MD (multi-detector). Due to unknown functional form of noise in wireless channel environments, it is not easy to design the detector through estimating the functional form of noise. Instead, we design the MD, which is constructed based on DGT (Data Grouping Technique) and quantiles estimated through RMSA (Robbins-Monro Stochastic Approximation) algorithm.

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ALGORITHMS FOR SOLVING MATRIX POLYNOMIAL EQUATIONS OF SPECIAL FORM

  • Dulov, E.V.
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.41-60
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    • 2000
  • In this paper we consider a series of algorithms for calculating radicals of matrix polynomial equations. A particular aspect of this problem arise in author's work. concerning parameter identification of linear dynamic stochastic system. Special attention is given of searching the solution of an equation in a neighbourhood of some initial approximation. The offered approaches and algorithms allow us to receive fast and quite exact solution. We give some recommendations for application of given algorithms.

Hydrodynamic approach to cosmic ray acceleration

  • KO CHUNG-MING
    • 천문학회지
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    • 제34권4호
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    • pp.289-291
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    • 2001
  • To study the structure and dynamics of a cosmic-ray-plasma system, hydrodynamic approach is a fairly good approximation. In this approach, there are three basic energy transfer mechanisms: work done by the plasma flow against pressure gradients, cosmic ray streaming instability and stochastic acceleration. The interplay between these mechanisms gives a range of structures. We present some results of different version of the hydrodynamic approach, e.g., flow structure, injection, instability, acceleration with and without shocks.

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SPSA를 이용한 EIT 영상복원 (EIT Image Reconstruction Using SPSA)

  • 김호찬;부창진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 D
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    • pp.2721-2723
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    • 2002
  • Electrical impedance tomograpy(EIT) determines the resistivity distribution inside an inhomogeneous target by means of voltage and current measurements conducted at the target boundary. In this paper, a simultaneous perturbation stochastic approximation(SPSA) approach is proposed for the solution of the EIT image reconstruction. Results of numerical experiments of EIT solved by the SPSA approach are presented and compared to that obtained by the modified Newton-Raphson(mNR) method.

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다인승차량의 중앙버스전용차로 이용에 따른 영향분석 (Analyzing the Changes in Speed Due to High Occupancy Vehicles Using Median Bus Lane)

  • 이정범
    • 한국ITS학회 논문지
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    • 제12권4호
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    • pp.87-94
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    • 2013
  • 본 연구는 버스전용차로 설치로 인한 일반차로의 지체증가를 완화하기 위해 다인승차량이 버스전용차로를 운행할 수 있도록 해 주는 방안에 대하여 알아보았다. 연구 대상지는 버스전용차로에는 버스통행량이 적고 일반 차로의 지체가 심각한 대전의 두 지역(도안동로, 도안대로)을 선정하였다. 분석을 위해 Synchro를 이용하여 신호를 최적화 시키고 VISSIM을 이용하여 시뮬레이션 분석을 시행하였다. 현황을 정확히 모의실험 하기 위하여 운전자 행태를 반영할 수 있는 파라메터를 Simultaneous Perturbation Stochastic Approximation(SPSA)알고리즘을 이용하여 최적화 한 후 분석을 시행하였다. 분석 결과 두 지역 모두 현재의 다인승차량의 진입을 허용하여도 버스전용차로의 정시성에는 크게 영향을 끼치지 않는 것으로 나타났다. 특히, 도안대로의 경우 다인승차량이 버스전용차로를 운행하면 전체 지체가 떨어지는 효과가 있는 것으로 나타났다. 장래, 교통량이 증가하였을 경우 다인승차량이 10%정도 증가하여도 버스전용차로의 정시성은 어느 정도 유지할 수 있는 것으로 나타났다. 현재의 규제 위주의 교통수요관리 보다는 주어진 도로를 최대한 효율적으로 이용하고자 하는 노력도 중요하다. 향후 가로변 구간에 있는 버스전용차로의 다인승차량 허용에 대한 연구 및 다양한 교통량에 대한 세부적인 연구가 추가되어야 할 것으로 판단된다.

A RANDOM DISPERSION SCHRÖDINGER EQUATION WITH NONLINEAR TIME-DEPENDENT LOSS/GAIN

  • Jian, Hui;Liu, Bin
    • 대한수학회보
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    • 제54권4호
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    • pp.1195-1219
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    • 2017
  • In this paper, the limit behavior of solution for the $Schr{\ddot{o}}dinger$ equation with random dispersion and time-dependent nonlinear loss/gain: $idu+{\frac{1}{{\varepsilon}}}m({\frac{t}{{\varepsilon}^2}}){\partial}_{xx}udt+{\mid}u{\mid}^{2{\sigma}}udt+i{\varepsilon}a(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$ is studied. Combining stochastic Strichartz-type estimates with $L^2$ norm estimates, we first derive the global existence for $L^2$ and $H^1$ solution of the stochastic $Schr{\ddot{o}}dinger$ equation with white noise dispersion and time-dependent loss/gain: $idu+{\Delta}u{\circ}d{\beta}+{\mid}u{\mid}^{2{\sigma}}udt+ia(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$. Secondly, we prove rigorously the global diffusion-approximation limit of the solution for the former as ${\varepsilon}{\rightarrow}0$ in one-dimensional $L^2$ subcritical and critical cases.