• Title/Summary/Keyword: kernel estimate

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Prediction of Oil Amount Leaked from Damaged Tank Using 2-dimensional Particle Simulation (파손된 탱크의 기름 유출량 산정을 위한 2차원 입자법 시뮬레이션)

  • Nam, J.W.;Hwang, S.C.;Park, J.C.;Kim, M.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.278-285
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    • 2011
  • In the present study, the numerical prediction of the oil amount leaked from the hole of a damaged tank is investigated using the improved MPS (Moving Particle Semi-implicit) method, which was originally proposed by Koshizuka and Oka (1996) for incompressible flow. The governing equations, which consist of the continuity and Navier-Stokes equations, are solved by Lagrangian moving particles, and all terms expressed by differential operators should be replaced by the particle interaction models based on a Kernel function. The simulation results are validated though the comparison with the analytic solution based on Torricelli's equilibrium relation. Furthermore, a series of numerical simulations under the various conditions are performed in order to estimate more accurately the initial amount of leaked oil.

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Empirical variogram for achieving the best valid variogram

  • Mahdi, Esam;Abuzaid, Ali H.;Atta, Abdu M.A.
    • Communications for Statistical Applications and Methods
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    • v.27 no.5
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    • pp.547-568
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    • 2020
  • Modeling the statistical autocorrelations in spatial data is often achieved through the estimation of the variograms, where the selection of the appropriate valid variogram model, especially for small samples, is crucial for achieving precise spatial prediction results from kriging interpolations. To estimate such a variogram, we traditionally start by computing the empirical variogram (traditional Matheron or robust Cressie-Hawkins or kernel-based nonparametric approaches). In this article, we conduct numerical studies comparing the performance of these empirical variograms. In most situations, the nonparametric empirical variable nearest-neighbor (VNN) showed better performance than its competitors (Matheron, Cressie-Hawkins, and Nadaraya-Watson). The analysis of the spatial groundwater dataset used in this article suggests that the wave variogram model, with hole effect structure, fitted to the empirical VNN variogram is the most appropriate choice. This selected variogram is used with the ordinary kriging model to produce the predicted pollution map of the nitrate concentrations in groundwater dataset.

QUASI-LIKELIHOOD REGRESSION FOR VARYING COEFFICIENT MODELS WITH LONGITUDINAL DATA

  • Kim, Choong-Rak;Jeong, Mee-Seon;Kim, Woo-Chul;Park, Byeong-U.
    • Journal of the Korean Statistical Society
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    • v.33 no.4
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    • pp.367-379
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    • 2004
  • This article deals with the nonparametric analysis of longitudinal data when there exist possible correlations among repeated measurements for a given subject. We consider a quasi-likelihood regression model where a transformation of the regression function through a link function is linear in time-varying coefficients. We investigate the local polynomial approach to estimate the time-varying coefficients, and derive the asymptotic distribution of the estimators in this quasi-likelihood context. A real data set is analyzed as an illustrative example.

Iterative mesh partitioning strategy for improving the efficiency of parallel substructure finite element computations

  • Hsieh, Shang-Hsien;Yang, Yuan-Sen;Tsai, Po-Liang
    • Structural Engineering and Mechanics
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    • v.14 no.1
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    • pp.57-70
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    • 2002
  • This work presents an iterative mesh partitioning approach to improve the efficiency of parallel substructure finite element computations. The proposed approach employs an iterative strategy with a set of empirical rules derived from the results of numerical experiments on a number of different finite element meshes. The proposed approach also utilizes state-of-the-art partitioning techniques in its iterative partitioning kernel, a cost function to estimate the computational cost of each submesh, and a mechanism that adjusts element weights to redistribute elements among submeshes during iterative partitioning to partition a mesh into submeshes (or substructures) with balanced computational workloads. In addition, actual parallel finite element structural analyses on several test examples are presented to demonstrate the effectiveness of the approach proposed herein. The results show that the proposed approach can effectively improve the efficiency of parallel substructure finite element computations.

Approach to Reduce CO2 by Renewable Fuel Cofiring for a Pulverized Coal Fired Boiler (신재생연료 혼소를 통한 미분탄 화력 발전소의 CO2 저감 방안 도출)

  • Kim, Taehyun;Choi, Sangmin;Yang, Won
    • 한국연소학회:학술대회논문집
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    • 2013.06a
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    • pp.19-20
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    • 2013
  • The cofiring of renewable fuel in coal fired boilers is an attractive option to mitigate $CO_2$ emissions, since it is relatively low cost option for efficiently converting renewable fuel to electricity by adding biomass as partial substitute of coal. However, it would lead to reduce plant efficiency and flexibility in operation, and increase operation cost and capital cost associated with renewable fuels handling and firing equipment. The aim of this study is to investigate reduction of carbon dioxide at varying percentage of biomass in fuel blend to the boiler biomass, and estimate operation and capital cost. Wood pellet, PKS (palm kernel shell), EFB (empty fruit bunch) and sludge are considered as a renewable fuels for a cofiring with coal. Several approaches by the cofiring ratio are chosen from past plant demonstrations and commercial cofiring operation, and they are evaluated and discussed for CO2 reduction and cost estimation.

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REGULARITY OF THE GENERALIZED POISSON OPERATOR

  • Li, Pengtao;Wang, Zhiyong;Zhao, Kai
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.129-150
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    • 2022
  • Let L = -∆ + V be a Schrödinger operator, where the potential V belongs to the reverse Hölder class. In this paper, by the subordinative formula, we investigate the generalized Poisson operator PLt,σ, 0 < σ < 1, associated with L. We estimate the gradient and the time-fractional derivatives of the kernel of PLt,σ, respectively. As an application, we establish a Carleson measure characterization of the Campanato type space 𝒞𝛄L (ℝn) via PLt,σ.

Gaussian Process Regression and Its Application to Mathematical Finance (가우시언 과정의 회귀분석과 금융수학의 응용)

  • Lim, Hyuncheul
    • Journal for History of Mathematics
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    • v.35 no.1
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    • pp.1-18
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    • 2022
  • This paper presents a statistical machine learning method that generates the implied volatility surface under the rareness of the market data. We apply the practitioner's Black-Scholes model and Gaussian process regression method to construct a Bayesian inference system with observed volatilities as a prior information and estimate the posterior distribution of the unobserved volatilities. The variance instead of the volatility is the target of the estimation, and the radial basis function is applied to the mean and kernel function of the Gaussian process regression. We present two types of Gaussian process regression methods and empirically analyze them.

Fuzzy One Class Support Vector Machine (퍼지 원 클래스 서포트 벡터 머신)

  • Kim, Ki-Joo;Choi, Young-Sik
    • Journal of Internet Computing and Services
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    • v.6 no.3
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    • pp.159-170
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    • 2005
  • OC-SVM(One Class Support Vector Machine) avoids solving a full density estimation problem, and instead focuses on a simpler task, estimating quantiles of a data distribution, i.e. its support. OC-SVM seeks to estimate regions where most of data resides and represents the regions as a function of the support vectors, Although OC-SVM is powerful method for data description, it is difficult to incorporate human subjective importance into its estimation process, In order to integrate the importance of each point into the OC-SVM process, we propose a fuzzy version of OC-SVM. In FOC-SVM (Fuzzy One-Class Support Vector Machine), we do not equally treat data points and instead weight data points according to the importance measure of the corresponding objects. That is, we scale the kernel feature vector according to the importance measure of the object so that a kernel feature vector of a less important object should contribute less to the detection process of OC-SVM. We demonstrate the performance of our algorithm on several synthesized data sets, Experimental results showed the promising results.

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MTF Assessment and Image Restoration Technique for Post-Launch Calibration of DubaiSat-1 (DubaiSat-1의 발사 후 검보정을 위한 MTF 평가 및 영상복원 기법)

  • Hwang, Hyun-Deok;Park, Won-Kyu;Kwak, Sung-Hee
    • Korean Journal of Remote Sensing
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    • v.27 no.5
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    • pp.573-586
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    • 2011
  • The MTF(modulation transfer function) is one of parameters to evaluate the performance of imaging systems. Also, it can be used to restore information that is lost by a harsh space environment (radioactivity, extreme cold/heat condition and electromagnetic field etc.), atmospheric effects and falloff of system performance etc. This paper evaluated the MTF values of images taken by DubaiSat-1 satellite which was launched in 2009 by EIAST(Emirates Institute for Advanced Science and Technology) and Satrec Initiative. Generally, the MTF was assessed using various methods such as a point source method and a knife-edge method. This paper used the slanted-edge method. The slantededge method is the ISO 12233 standard for the MTF measurement of electronic still-picture cameras. The method is adapted to estimate the MTF values of line-scanning telescopes. After assessing the MTF, we performed the MTF compensation by generating a MTF convolution kernel based on the PSF(point spread function) with image denoising to enhance the image quality.

A Motion Vector Re-Estimation Algorithm for Image Downscaling in Discrete Cosine Transform Domain (이산여현변환 공간에서의 영상 축소를 위한 움직임 벡터 재추정)

  • Kim, Woong-Hee;Oh, Seung-Kyun;Park, Hyun-Wook
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.39 no.5
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    • pp.494-503
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    • 2002
  • A motion vector re-estimation algorithm for image downscaling in discrete consine transform domain is presented. Kernel functions are difined using SAD (Aum of Absolute Difference) and edge information of a macroblock. The proposed method uses these kernel functions to re-estimate a new motion vector of the downscaled image. The motion vectors from the incoming bitstream of transcoder are reused to reduce computation burden of the block-matching motion estimation, and we also reuse the given motion vectors. Several experiments in this paper show that the computation efficiency and the PSNR (Peak Signal to Noise Ratio) and better than the previous methods.