• Title/Summary/Keyword: Interpolation Model

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On the Effectiveness of Centering, Interpolation and Extrapolation in Estimating the Mean of a Population with Linear Trend

  • Kim, Hyuk-Joo;Jung, Sun-Ju
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.365-379
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    • 2002
  • We apply the techniques of interpolation and extrapolation to derive a new estimator based on centered modified systematic sampling for the mean of a population which has a linear trend. The efficiency of the proposed estimation method is compared with that of various existing methods. An illustrative numerical example is given.

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Efficient Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.175-185
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    • 2002
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept of interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

A Study on Estimating Population Mean by Use of Interpolation and Extrapolation with Balanced Systematic Sampling

  • Kim, Hyuk-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.91-102
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    • 1999
  • A new method is developed for estimating the mean of a population which has a linear trend. The suggested estimator is based on the balanced systematic sampling method and the concept of interpolation and extrapolation. The efficiency of the proposed method is compared with that of conventional methods.

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Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • 한국데이터정보과학회:학술대회논문집
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    • 2001.10a
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    • pp.17-24
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    • 2001
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept or interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

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A Study on the Terrain Interpolation Using Fractal Method (프랙탈 기법을 이용한 지형 보간에 관한 연구)

  • Kwon, Kee Wook;Lee, Jong Dal
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5D
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    • pp.895-907
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    • 2006
  • In this study, in order to maximize the accuracy and efficiency of the existing interpolation method fractal methods are applied. Developed FEDISA model revives the irregularity of the real terrain with only a few information about base terrain, which can produce almost complete geographic information. The area of the model is set to $150m{\times}150m$, $300m{\times}300m$, $600m{\times}600m$, $1,200m{\times}1,200m$ to compare the real data with the data of the existing interpolation method and FEDISA model. By statistical verification of the results, the adaptability and efficiency of FEDISA model are investigated. It seems that FEDISA model will help a lot to obtain the terrain information about the changed terrain, such as the bottom of reservoirs and dams as well as large amount of destruction due to cutting and banking.

HRTF Interpolation Using a Spherical Head Model (원형 머리 모델을 이용한 머리 전달 함수의 보간)

  • Lee, Ki-Seung;Lee, Seok-Pil
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.7
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    • pp.333-341
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    • 2008
  • In this paper, a new interpolation model for the head related transfer function (HRTF) was proposed. In the method herein, we assume that the impulse response of the HRTF for each azimuth angle is given by linear interpolation of the time-delayed neighboring impulse responses of HRTFs. The time delay of the HRTF for each azimuth angle is given by sum of the sound wave propagation time from the ears to the sound source, which can be estimated by using azimuth angle, the physical shape of the underlying head and the distance between the head and sound source, and the refinement time yielding the minimum mean square error. Moreover, in the proposed model, the interpolation intervals were not fixed but varied, which were determined by minimizing the total number of HRTFs while the synthesized signals have no perceptual difference from the original signals in terms of sound location. To validate the usefulness of the proposed interpolation model, the proposed model was applied to the several HRTFs that were obtained from one dummy-head and three human heads. We used the HRTFs that have 5 degree azimuth angle resolution at 0 degree elevation (horizontal plane). The experimental results showed that using only $30\sim40%$ of the original HRTFs were sufficient for producing the signals that have no audible differences from the original ones in terms of sound location.

A Structural Design Method Using Ensemble Model of RSM and Kriging (반응표면법과 크리깅의 혼합모델을 이용한 구조설계방법)

  • Kim, Nam-Hee;Lee, Kwon-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.3
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    • pp.1630-1638
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    • 2015
  • The finite element analysis has become an essential process to investigate the structural performance in many industry fields. In addition, the computer's performance is improving rapidly, but in large design problems, there is a limit to apply the optimal design techniques. For this, it is general to introduce a metamodel based optimization technique. The method to generate an approximate model can be classified into curve fitting and interpolation, and each representative one is response surface model and kriging interpolation method. This study proposes an ensemble model made of RSM and kriging to solve a structural design problem. The suggested method is applied to the designs of two bar and automobile outer tie rod.

Model-based subpixed motion estimation for image sequence compression (도영상 압축을 위한 모델 기반 부화소 단위 움직임 추정 기법)

  • 서정욱;정제창
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.1
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    • pp.130-140
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    • 1998
  • This paper presents a method to estimate subpixel accuracy motion vectors using a mathermatical model withoug interpolation. the proposed method decides the coefficients of mathematical model, which represents the motion vector which is achieved by full search. And then the proposed method estimates subpixel accuracy motion vector from achieved mathematical model. Step by step mathematical models such as type 1, type 2, type 3, modified bype 2, modified type 3, and Partial Interpolation type 3 are presented. In type 1, quadratic polynomial, which has 9 unknown coefficients and models the 3by 3 pixel plane, is used to get the subpixel accuracy motion vectors by inverse matrix solution. In type 2 and 3, each quadratic polynomial which is simplified from type 1 has 5 and 6 unknown coefficients and is used by least square solution. Modified type 2 and modified type 3 are enhanced models by weighting only 5 pixels out of 9. P.I. type 3 is more accurate method by partial interpolation around subpixel which isachieved by type 3. LThese simulation results show that the more delicate model has the better performance and modified models which are simplified have excellent performance with reduced computational complexity.

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Sensitivity Analysis of Ordinary Kriging Interpolation According to Different Variogram Models (베리오그램 모델 변화에 따른 정규 크리깅 보간법의 민감도분석)

  • Woo, Kwang-Sung;Park, Jin-Hwan;Lee, Hui-Jeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.3
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    • pp.295-304
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    • 2008
  • This paper comprises two specific objectives. The first is to examine the applicability of Ordinary Kriging interpolation(OK) to finite element method that is based on variogram modeling in conjunction with different allowable limits of separation distance. The second is to investigate the accuracy according to theoretical variograms such as polynomial, Gauss, and spherical models. For this purpose, the weighted least square method is applied to obtain the estimated new stress field from the stress data at the Gauss points. The weight factor is determined by experimental and theoretical variograms for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. The validity of the proposed approach has been tested by analyzing two numerical examples. It is noted that the numerical results by Gauss model using 25% allowable limit of separation distance show an excellent agreement with theoretical solutions in literature.

Deep Learning Research on Vessel Trajectory Prediction Based on AIS Data with Interpolation Techniques

  • Won-Hee Lee;Seung-Won Yoon;Da-Hyun Jang;Kyu-Chul Lee
    • Journal of the Korea Society of Computer and Information
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    • v.29 no.3
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    • pp.1-10
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    • 2024
  • The research on predicting the routes of ships, which constitute the majority of maritime transportation, can detect potential hazards at sea in advance and prevent accidents. Unlike roads, there is no distinct signal system at sea, and traffic management is challenging, making ship route prediction essential for maritime safety. However, the time intervals of the ship route datasets are irregular due to communication disruptions. This study presents a method to adjust the time intervals of data using appropriate interpolation techniques for ship route prediction. Additionally, a deep learning model for predicting ship routes has been developed. This model is an LSTM model that predicts the future GPS coordinates of ships by understanding their movement patterns through real-time route information contained in AIS data. This paper presents a data preprocessing method using linear interpolation and a suitable deep learning model for ship route prediction. The experimental results demonstrate the effectiveness of the proposed method with an MSE of 0.0131 and an Accuracy of 0.9467.