• Title/Summary/Keyword: statistical interpolation

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A STATISTICS INTERPOLATION METHOD: LINEAR PREDICTION IN A STOCK PRICE PROCESS

  • Choi, U-Jin
    • Journal of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.657-667
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    • 2001
  • We propose a statistical interpolation approximate solution for a nonlinear stochastic integral equation of a stock price process. The proposed method has the order O(h$^2$) of local error under the weaker conditions of $\mu$ and $\sigma$ than those of Milstein' scheme.

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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 Sound Interpolation Method Using Deep Neural Network for Virtual Reality Sound (가상현실 음향을 위한 심층신경망 기반 사운드 보간 기법)

  • Choi, Jaegyu;Choi, Seung Ho
    • Journal of Broadcast Engineering
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    • v.24 no.2
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    • pp.227-233
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    • 2019
  • In this paper, we propose a deep neural network-based sound interpolation method for realizing virtual reality sound. Through this method, sound between two points is generated by using acoustic signals obtained from two points. Sound interpolation can be performed by statistical methods such as arithmetic mean or geometric mean, but this is insufficient to reflect actual nonlinear acoustic characteristics. In order to solve this problem, in this study, the sound interpolation is performed by training the deep neural network based on the acoustic signals of the two points and the target point, and the experimental results show that the deep neural network-based sound interpolation method is superior to the statistical methods.

Non-Local Mean based Post Processing Scheme for Performance Enhancement of Image Interpolation Method (이미지 보간기법의 성능 개선을 위한 비국부평균 기반의 후처리 기법)

  • Kim, Donghyung
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.16 no.3
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    • pp.49-58
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    • 2020
  • Image interpolation, a technology that converts low resolution images into high resolution images, has been widely used in various image processing fields such as CCTV, web-cam, and medical imaging. This technique is based on the fact that the statistical distributions of the white Gaussian noise and the difference between the interpolated image and the original image is similar to each other. The proposed algorithm is composed of three steps. In first, the interpolated image is derived by random image interpolation. In second, we derive weighting functions that are used to apply non-local mean filtering. In the final step, the prediction error is corrected by performing non-local mean filtering by applying the selected weighting function. It can be considered as a post-processing algorithm to further reduce the prediction error after applying an arbitrary image interpolation algorithm. Simulation results show that the proposed method yields reasonable performance.

The Utilization of Local Document Information to Improve Statistical Context-Sensitive Spelling Error Correction (통계적 문맥의존 철자오류 교정 기법의 향상을 위한 지역적 문서 정보의 활용)

  • Lee, Jung-Hun;Kim, Minho;Kwon, Hyuk-Chul
    • KIISE Transactions on Computing Practices
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    • v.23 no.7
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    • pp.446-451
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    • 2017
  • The statistical context-sensitive spelling correction technique in this thesis is based upon Shannon's noisy channel model. The interpolation method is used for the improvement of the correction method proposed in the paper, and the general interpolation method is to fill the middle value of the probability by (N-1)-gram and (N-2)-gram. This method is based upon the same statistical corpus. In the proposed method, interpolation is performed using the frequency information between the statistical corpus and the correction document. The advantages of using frequency of correction documents are twofold. First, the probability of the coined word existing only in the correction document can be obtained. Second, even if there are two correction candidates with ambiguous probability values, the ambiguity is solved by correcting them by referring to the correction document. The method proposed in this thesis showed better precision and recall than the existing correction model.

Statistical interpolation of meteorological data (기상자료의 통계내삽)

  • 이동규
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.113-121
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    • 1992
  • Statistical interpolation which uses past experience about the behaviour of the atmosphere(correlation function) to interpolate the observations irregularly distributed in space and time to regular grids is discussed. Correlation functions are computed in the Far East Asian region during the winter periods of December 1977 to February 1980. Results show from the computation of correlation functions that there exists a large difference in the autocorrelation functions by slowly decreasing geopotential height and temperature, and rapidly decreasing wind and mixing ratio with increasing data-correlation functions between geopotential height and wind are well corresponed to persistence of wintertime synoptic features.

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In-phase Statistical Edge Directed Interpolation based on Windowed MMSE Estimation (MMSE관점에서 위상 정합 방향성 경계 강조 보간법)

  • 임태환;김재호
    • Proceedings of the IEEK Conference
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    • 2000.11d
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    • pp.93-96
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    • 2000
  • In this paper, we present an improved novel interpolator that performs high quality interpolation on both synthetic and real world images. Its structure, which is based on a four directional linear predictor with equiripple windowed samples and phase matching equalizer, provides edge-directional data interpolation so that sharp and artifacts-free images are obtained at a reasonable computational cost.

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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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An Evaluation of Spatial Interpolation of Statistical Information Using Dasymetric Mapping (밀도구분도 매핑을 이용한 통계정보 공간 내삽의 유효성 평가)

  • Lee, Byoung-Kil
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.4
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    • pp.343-350
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    • 2006
  • For integrating and utilizing the statistical data, which is summarized by arbitrary areal unit such as demographics, with stellite imagery or other GIS data, areal unit of both data should be accorded. Dasymetric mapping is proposed as a useful method fur disaggregating the aggregated statistical data to finer areal unit or generating surface model from object data such as polygonal area. This research evaluate the effectiveness of dasymetric mapping by 1) summarizing the yellow page information by administrative district, 2) modeling the business density using dasymetric mapping, and 3) comparing the business densities of raw data and that of spatial interpolation result.