• Title/Summary/Keyword: Approximate model

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A fast approximate fitting for mixture of multivariate skew t-distribution via EM algorithm

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • v.27 no.2
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    • pp.255-268
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    • 2020
  • A mixture of multivariate canonical fundamental skew t-distribution (CFUST) has been of interest in various fields. In particular, interest in the unsupervised learning society is noteworthy. However, fitting the model via EM algorithm suffers from significant processing time. The main cause is due to the calculation of many multivariate t-cdfs (cumulative distribution functions) in E-step. In this article, we provide an approximate, but fast calculation method for the in univariate fashion, which is the product of successively conditional univariate t-cdfs with Taylor's first order approximation. By replacing all multivariate t-cdfs in E-step with the proposed approximate versions, we obtain the admissible results of fitting the model, where it gives 85% reduction time for the 5 dimensional skewness case of the Australian Institution Sport data set. For this approach, discussions about rough properties, advantages and limits are also presented.

Approximate Model for Peak Demand Power Computation in Metro Railway with DC Rectifiers (DC정류기를 갖는 도시철도의 최대수요전력 산출 근사모델)

  • Kim, Han-Su;Kwon, Oh-Kyu
    • Journal of the Korean Society for Railway
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    • v.16 no.5
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    • pp.372-378
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    • 2013
  • This paper presents an approximate model for computing the peak demand power in a metro railway system. The peak demand of substations can be calculated using the current vector iteration method. But the existing method requires many repeated calculations to determine the peak demand power, which makes it difficult to apply to the real-time peak power control problem. In this paper, we assume that none of the conditions vary except source impedance and make an approximate model for rapid calculation based on changes in the impedance of the power substation. The proposed model result is approximately the same as the existing model, which is demonstrated through simulation.

A Comparative Study on Approximate Models and Sensitivity Analysis of Active Type DSF for Offshore Plant Float-over Installation Using Orthogonal Array Experiment (직교배열실험을 이용한 해양플랜트 플로트오버 설치 작업용 능동형 DSF의 민감도해석과 근사모델 비교연구)

  • Kim, Hun-Gwan;Song, Chang Yong
    • Journal of the Korea Convergence Society
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    • v.12 no.3
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    • pp.187-196
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    • 2021
  • The paper deals with comparative study for characteristics of approximation of design space according to various approximate models and sensitivity analysis using orthogonal array experiments in structure design of active type DSF which was developed for float-over installation of offshore plant. This study aims to propose the orthogonal array experiments based design methodology which is able to efficiently explore an optimum design case and to generate the accurate approximate model. Thickness sizes of main structure member were applied to the design factors, and output responses were considered structure weight and strength performances. Quantitative effects on the output responses for each design factor were evaluated using the orthogonal array experiment. Best design case was also identified to improve the structure design with weight minimization. From the orthogonal array experiment results, various approximate models such as response surface model, Kriging model, Chebyshev orthogonal polynomial model, and radial basis function based neural network model were generated. The experiment results from orthogonal array method were validated by the approximate modeling results. It was found that the radial basis function based neural network model among the approximate models was able to approximate the design space of the active type DSF with the highest accuracy.

Further Approximate Optimum Inspection Intervals

  • Leung, Kit-Nam Francis
    • Industrial Engineering and Management Systems
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    • v.4 no.2
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    • pp.123-128
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    • 2005
  • The author derives a general explicit formula and presents an heuristic algorithm for solving Baker’s model. The examples show that this new approximate solution procedure for determining near optimum inspection intervals is more accurate than the ones suggested by Chung (1993) and Vaurio (1994), and is more efficient computationally than the one suggested by Hariga (1996). The construction and solution of the simplest profit model for an exponential failure distribution were presented in Baker (1990), and approximate analytical results were obtained by Chung (1993) and Vaurio (1994). The author will therefore mainly devote the following discussion to the problem of further approximating optimum inspection intervals.

A comparison study of approximate and Monte Carlo radiative transfer methods for late type galaxy models

  • Lee, Dukhang;Baes, Maarten;Seon, Kwang-il
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.49.3-50
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    • 2016
  • Two major radiative transfer (RT) techniques have been developted to model late-type galaxies: approximate RT and Monte Carlo (MC) RT. In the approximate RT, first proposed by Kylafis & Bahcall, only two terms of unscattered (direct) and single-scattered intensities are computed and higher-order multiple scattering components are approximated, saving computing time and cost compared to MC RT. However, the approximate RT can yield errors in regions where multiple scattering effect is significant. In order to examine how significant the errors of the approximate RT are, we compare results of the approximate RT with those of SKIRT, a state-of-the-art MC RT code, which is basically free from the approximation errors by fully incorporating all the multiple scattered intensities. In this study, we present quantitative errors in the approximate RT for late type galaxy models with various optical depths and inclination angles. We report that the approximate RT is not reliable if the central face-on optical depth is intermediate or high (${\tau}_V$ > 3).

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Approximate Estimating Model Using the Case Based Reasoning - PSC BEAM Bridge - (사례기반추론을 이용한 개략공사비 산정모델 개발 - PSC BEAM교를 중심으로 -)

  • Kang, Chan-Sung;Lee, Geon-Hee;Kim, Kyoung-Min;Kim, Kyong-Ju
    • Proceedings of the Korean Institute Of Construction Engineering and Management
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    • 2008.11a
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    • pp.445-448
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    • 2008
  • This study attempts to estimate approximate cost on construction of PSC BEAM Bridge using Case-Based Reasoning and suggests approximate estimation model at the planning and design stage. This paper suggests phased influence factors on construction cost and approximate estimation model for integrated project cost management.

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Analysis of Shallow-Water Equations with HLLC Approximate Riemann Solver (HLLC Approximate Riemann Solver를 이용한 천수방정식 해석)

  • Kim, Dae-Hong;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.37 no.10
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    • pp.845-855
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    • 2004
  • The propagation and associated run-up process of nearshore tsunamis in the vicinity of shorelines have been analyzed by using a two-dimensional numerical model. The governing equations of the model are the nonlinear shallow-water equations. They are discretized explicitly by using a finite volume method and the numerical fluxes are reconstructed with a HLLC approximate Riemann solver and weighted averaged flux method. The model is applied to two problems; The first problem deals with water surface oscillations, while the second one simulates the propagation and subsequent run-up process of nearshore tsunamis. Predicted results have been compared to available analytical solutions and laboratory measurements. A very good agreement has been observed.

ACCURACY IMPROVEMENT OF AN APPROXIMATE COST ESTIMATING MODEL FOR RIVER FACILITY CONSTRUCTION

  • Siwook Lee;Sungkwon Woo;Jeongyoon Lee;Inwook Choi
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1201-1208
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    • 2009
  • A making a decision of construction cost has important meaning and function for both contractor and owner in construction projects. Especially, it should be premised that estimating the construction cost in efficient and rational way in public construction, which is invested by government funds, for efficient execution of the budget and investment as a side of government. The systematic methodology for estimating construction cost approximately of a river facility construction project has not yet been established because of its unique characteristics including its relatively small project size in terms of cost. On this study, It collect and analyze a river facility construction historical cost data for develop an approximate cost estimating model for river applied by typical embankment section method and rate application of the others activity type. And it verify suitability of model through a that result of application of real river facility construction statement at developed model. By this study, it is expected to reasonable and systematic estimating construction cost through application of developed model.

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LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS

  • Yang, Guangchong;Chen, Xia;Xiao, Lan
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.83-92
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    • 2021
  • This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.

A Novel Air-cell Mattress Based on Approximate Anthropometric Model for Preventing Pressure Ulcer

  • Moon, In-Hyuk;Kang, Sung-Jae;Kim, Gyu-Seok;Mun, Mu-Seong
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1278-1282
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    • 2005
  • Air mattress is now used widely to prevent the pressure ulcer by reducing the localized pressure peaks. In this paper an air-cell mattress and its pressure control method based on an approximate anthropometric model are presented. The air-cell mattress has eighteen cylindrical air cells made of porous material allowing air leakage to contribute in reducing the development of pressure ulcer by lowering the pressure peak, temperature and humidity. To determine an optimal air-cell pressure appropriate for each user, we divide the parts of the body into four sections such as head, trunk, hip, and leg. Then, the pressure of each section is independently calculated from the weight of each part based on the individual body height and weight and the approximate anthropometric model. Air supply system for the air-cell mattress is implemented by using four electronic solenoid valves and an air compressor, and it is driven by a real-time micro-controller. The experimental results with seven subjects shows that the proposed air-cell mattress is effective for the prevention of the pressure ulcer.

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