• 제목/요약/키워드: Kriging regression

검색결과 70건 처리시간 0.022초

Investigation on the nonintrusive multi-fidelity reduced-order modeling for PWR rod bundles

  • Kang, Huilun;Tian, Zhaofei;Chen, Guangliang;Li, Lei;Chu, Tianhui
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1825-1834
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    • 2022
  • Performing high-fidelity computational fluid dynamics (HF-CFD) to predict the flow and heat transfer state of the coolant in the reactor core is expensive, especially in scenarios that require extensive parameter search, such as uncertainty analysis and design optimization. This work investigated the performance of utilizing a multi-fidelity reduced-order model (MF-ROM) in PWR rod bundles simulation. Firstly, basis vectors and basis vector coefficients of high-fidelity and low-fidelity CFD results are extracted separately by the proper orthogonal decomposition (POD) approach. Secondly, a surrogate model is trained to map the relationship between the extracted coefficients from different fidelity results. In the prediction stage, the coefficients of the low-fidelity data under the new operating conditions are extracted by using the obtained POD basis vectors. Then, the trained surrogate model uses the low-fidelity coefficients to regress the high-fidelity coefficients. The predicted high-fidelity data is reconstructed from the product of extracted basis vectors and the regression coefficients. The effectiveness of the MF-ROM is evaluated on a flow and heat transfer problem in PWR fuel rod bundles. Two data-driven algorithms, the Kriging and artificial neural network (ANN), are trained as surrogate models for the MF-ROM to reconstruct the complex flow and heat transfer field downstream of the mixing vanes. The results show good agreements between the data reconstructed with the trained MF-ROM and the high-fidelity CFD simulation result, while the former only requires to taken the computational burden of low-fidelity simulation. The results also show that the performance of the ANN model is slightly better than the Kriging model when using a high number of POD basis vectors for regression. Moreover, the result presented in this paper demonstrates the suitability of the proposed MF-ROM for high-fidelity fixed value initialization to accelerate complex simulation.

공간정보 모델링을 이용한 원전 사고의 환경 영향 평가: 체르노빌 사례연구 (Environmental Impact Assessment of Nuclear Power Plant Accident using Spatial Information Modeling: A Case Study of Chernobyl)

  • 이상원;송아람;박노욱
    • 대한원격탐사학회지
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    • 제28권1호
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    • pp.129-143
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    • 2012
  • 이 논문은 1986년에 발생한 체르노빌 원전 사고 사례연구를 통해 환경 모니터링과 영향 평가를 위한 고급 공간정보 모델링 기술의 유용성을 예시하였다. 사고지점 주변에서 1986년과 1992년에 촬영된 Landsat TM 영상자료를 대상으로 선분류 후비교법을 적용하여 변화가 크게 일어난 지역과 토지피복 변화 양상을 분석하였다. 그리고 이 사고의 가장 큰 피해지역으로 알려진 벨로루시 지역을 대상으로 다양한 크리깅 기법을 포함한 공간 모델링 기법을 적용하여 토양 내 세슘 농도와 갑상선 암 발병률 자료와의 상관성을 분석하였다. 변화 탐지 결과, 농경지 면적의 감소와 황무지 면적의 증가가 가장 뚜렷하게 나타났고, 방사능 오염의 확산을 막기 위한 콘크리트 구조물들이 새롭게 생겨난 것을 확인할 수 있었다. 벨로루시 지역의 영향평가 결과, 세슘 오염이 심한 원전 인근 지역에서 포아송 크리깅에 의해 추정된 위험도가 상대적으로 높게 나타났다. 세슘 농도와 사고지점과의 거리를 독립 변수로 사용하여 이 변수들의 공간 변화 양상을 반영할 수 있는 지리적 가중 회귀분석을 적용하였다. 적용 결과, 갑상선 암 위험도와 상관계수 0.98을 나타내는 갑상선 암 발병 위험도 추정이 가능하였으며, 이는 원전 사고가 갑상선 암 발병 위험도에 영향을 준 것을 의미한다. 결론적으로 이 연구에서 적용한 공간정보 모델링 기법들은 환경 영향 평가 및 환경 보건 분야에서 유용하게 사용될 수 있을 것으로 기대된다.

Assessing the Impacts of Errors in Coarse Scale Data on the Performance of Spatial Downscaling: An Experiment with Synthetic Satellite Precipitation Products

  • Kim, Yeseul;Park, No-Wook
    • 대한원격탐사학회지
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    • 제33권4호
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    • pp.445-454
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    • 2017
  • The performance of spatial downscaling models depends on the quality of input coarse scale products. Thus, the impact of intrinsic errors contained in coarse scale satellite products on predictive performance should be properly assessed in parallel with the development of advanced downscaling models. Such an assessment is the main objective of this paper. Based on a synthetic satellite precipitation product at a coarse scale generated from rain gauge data, two synthetic precipitation products with different amounts of error were generated and used as inputs for spatial downscaling. Geographically weighted regression, which typically has very high explanatory power, was selected as the trend component estimation model, and area-to-point kriging was applied for residual correction in the spatial downscaling experiment. When errors in the coarse scale product were greater, the trend component estimates were much more susceptible to errors. But residual correction could reduce the impact of the erroneous trend component estimates, which improved the predictive performance. However, residual correction could not improve predictive performance significantly when substantial errors were contained in the input coarse scale data. Therefore, the development of advanced spatial downscaling models should be focused on correction of intrinsic errors in the coarse scale satellite product if a priori error information could be available, rather than on the application of advanced regression models with high explanatory power.

Impact of Trend Estimates on Predictive Performance in Model Evaluation for Spatial Downscaling of Satellite-based Precipitation Data

  • Kim, Yeseul;Park, No-Wook
    • 대한원격탐사학회지
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    • 제33권1호
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    • pp.25-35
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    • 2017
  • Spatial downscaling with fine resolution auxiliary variables has been widely applied to predict precipitation at fine resolution from coarse resolution satellite-based precipitation products. The spatial downscaling framework is usually based on the decomposition of precipitation values into trend and residual components. The fine resolution auxiliary variables contribute to the estimation of the trend components. The main focus of this study is on quantitative analysis of impacts of trend component estimates on predictive performance in spatial downscaling. Two regression models were considered to estimate the trend components: multiple linear regression (MLR) and geographically weighted regression (GWR). After estimating the trend components using the two models,residual components were predicted at fine resolution grids using area-to-point kriging. Finally, the sum of the trend and residual components were considered as downscaling results. From the downscaling experiments with time-series Tropical Rainfall Measuring Mission (TRMM) 3B43 precipitation data, MLR-based downscaling showed the similar or even better predictive performance, compared with GWR-based downscaling with very high explanatory power. Despite very high explanatory power of GWR, the relationships quantified from TRMM precipitation data with errors and the auxiliary variables at coarse resolution may exaggerate the errors in the trend components at fine resolution. As a result, the errors attached to the trend estimates greatly affected the predictive performance. These results indicate that any regression model with high explanatory power does not always improve predictive performance due to intrinsic errors of the input coarse resolution data. Thus, it is suggested that the explanatory power of trend estimation models alone cannot be always used for the selection of an optimal model in spatial downscaling with fine resolution auxiliary variables.

서울 지역 지상 NO2 농도 공간 분포 분석을 위한 회귀 모델 및 기계학습 기법 비교 (Comparative Assessment of Linear Regression and Machine Learning for Analyzing the Spatial Distribution of Ground-level NO2 Concentrations: A Case Study for Seoul, Korea)

  • 강은진;유철희;신예지;조동진;임정호
    • 대한원격탐사학회지
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    • 제37권6_1호
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    • pp.1739-1756
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    • 2021
  • 대기 중 이산화질소(NO2)는 주로 인위적인 배출요인으로 발생하며 화학 반응을 통해 이차오염 물질 및 오존 형성에 매개 역할을 하는 인체 건강에 악영향을 미치는 물질이다. 우리나라는 지상 관측소에 의한 실시간 NO2 모니터링을 수행하고 있지만, 이는 점 기반의 관측 값으로써 미관측 지역의 공간 분포 분석이 어렵다는 한계점을 지닌다. 본 연구에서는 선형 회귀 기반 모델인 다중 선형 회귀와 회귀 크리깅, 기계학습 알고리즘인 Random Forest (RF), Support Vector Regression (SVR)을 적용한 공간 내삽 모델링을 통해 서울 지역의 지상 NO2 농도 지도를 제작하였고, 일별 Leave-One-Out Cross Validation (LOOCV) 교차 검증을 시행하였다. 2020년 연구기간 내 일별 LOOCV에서 MLR, RK, SVR 모델의 일별 평균 Index of agreement (IOA)는 약 0.57로 유사한 성능을 보였으며, RF (0.50)보다 높은 성능이 확인되었다. RK의 일별 평균 nRMSE는 0.9483%으로 MLR (0.9501%)보다 상대적으로 낮은 오차를 나타냈다. MLR과 RK, RF 모델의 계절별 공간 분포는 비슷한 양상을 보였으며, RF는 다른 모델에 비해 좁은 NO2 농도 범위가 확인되었다. 본 연구에서 제안된 선형 회귀 기반 공간 내삽은 지상 NO2 뿐 아니라 다른 대기 오염 물질의 도시 지역 공간 내삽을 위해 활용 가능성이 높을 것으로 기대된다.

수도권의 대규모 녹지공간이 대기오염에 미치는 영향 분석 (Analyzing Impact of the Effect of Large-scale Green Space on Air Pollution in the Seoul Metropolitan Area)

  • 김희재
    • 도시과학
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    • 제9권2호
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    • pp.31-44
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    • 2020
  • This study aims to analyze the relations among greenbelt, air pollution empirically in order to assess the environmental effects of the greenbelt in the Seoul metropolitan area, objectively. For this purpose, this study conducts an empirical analysis of impacts of greenbelt on urban air pollution using a multiple-regression model. The major findings are summarized as follows. As a result of an empirical analysis of the impacts of greenbelt on air pollution, it is found that the characteristics of the city have impacts on air pollution concentration. It is found that the population and employment are the causes of increases in CO and NO2 concentrations, and the number of employees in the manufacturers has impacts on increases of O3 and SO2, while power plants have impacts on PM10, CO and NO2. Intersections have impacts on O3 and SO2, while the areas of the roads have impacts on CO and NO2. In addition, as for the spatial distribution of air pollutants, it is found that CO and NO2 concentrations are relatively higher in the center of the Seoul metropolitan area, while PM10, O3 and SO2 concentrations are relatively higher in the suburbs. It is found that air pollution concentration is low in greenbelt zone. In the greenbelt zone, PM10, CO and SO2 concentrations are low.

An ensemble learning based Bayesian model updating approach for structural damage identification

  • Guangwei Lin;Yi Zhang;Enjian Cai;Taisen Zhao;Zhaoyan Li
    • Smart Structures and Systems
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    • 제32권1호
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    • pp.61-81
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    • 2023
  • This study presents an ensemble learning based Bayesian model updating approach for structural damage diagnosis. In the developed framework, the structure is initially decomposed into a set of substructures. The autoregressive moving average (ARMAX) model is established first for structural damage localization based structural motion equation. The wavelet packet decomposition is utilized to extract the damage-sensitive node energy in different frequency bands for constructing structural surrogate models. Four methods, including Kriging predictor (KRG), radial basis function neural network (RBFNN), support vector regression (SVR), and multivariate adaptive regression splines (MARS), are selected as candidate structural surrogate models. These models are then resampled by bootstrapping and combined to obtain an ensemble model by probabilistic ensemble. Meanwhile, the maximum entropy principal is adopted to search for new design points for sample space updating, yielding a more robust ensemble model. Through the iterations, a framework of surrogate ensemble learning based model updating with high model construction efficiency and accuracy is proposed. The specificities of the method are discussed and investigated in a case study.

피로시험 데이터의 산포를 고려한 스프링의 신뢰성 최적설계 (Reliability based optimization of spring fatigue design problems accounting for scatter of fatigue test data)

  • 안다운;원준호;최주호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.1314-1319
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    • 2008
  • Fatigue reliability problems are nowadays actively considered in the design of mechanical components. Recently, Dimension Reduction Method using Kriging approximation (KDRM) was proposed by the authors to efficiently calculate statistical moments of the response function. This method, which is more tractable for its sensitivity-free nature and providing the response PDF in a few number of analyses, is adopted in this study for the reliability analysis. Before applying this method to the practical fatigue problems, accuracies are studied in terms of parameters of the KDRM through a number of numerical examples, from which best set of parameters are suggested. In the fatigue reliability problems, good number of experimental data are necessary to get the statistical distribution of the S-N parameters. The information, however, are not always available due to the limited expense and time. In this case, a family of curves with prediction interval, called P-S-N curve, is constructed from regression analysis. Using the KDRM, once a set of responses are available at the sample points at the mean, all the reliability analyses for each P-S-N curve can be efficiently studied without additional response evaluations. The method is applied to a spring design problem as an illustration of practical applications, in which reliability-based design optimization (RBDO) is conducted by employing stochastic response surface method which includes probabilistic constraints in itself. Resulting information is of great practical value and will be very helpful for making trade-off decision during the fatigue design.

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다양한 관측네트워크에서 얻은 공간자료들을 활용한 계층모형 구축 (On the Hierarchical Modeling of Spatial Measurements from Different Station Networks)

  • 최지은;박만식
    • 응용통계연구
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    • 제26권1호
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    • pp.93-109
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    • 2013
  • 지리통계자료는 관측지점이 지도 상에 점으로 표현되고 그 지점에서만 자료가 관측되는 측정값이다. 이러한 지리통계자료는 매우 다양한 관측망에서부터 얻어진다. 지리통계자료를 분석하고 예측함에 있어서 하나의 자료만 이용하는 것보다는 유사한 패턴을 갖는 다른 관측망에서 얻어지는 여러 자료들을 함께 사용한다면 예측력을 향상시킬 수 있을 것이다. 본 논문에서는 서로 다른 관측망에서 얻은 두 가지의 공간자료를 이용하여 분석 및 예측하고 이를 위해 공간적 연관성을 파악할 수 있는 적절한 계층모형을 구축하였다. 그리고 선형회귀모형에 근간을 둔 크리깅 결과와 계층모형 하에서의 결과를 여러 검증방법을 통해 비교하였다. 이 논문에서는 도시대기측정망에서 측정된 이산화황과 지상기상관측망에서 측정된 풍속자료를 이용하여 계층모형을 구축하고 이산화황만을 이용한 선형모형과 비교하였다. 또한 각 모형에 의한 이산화황 예측지도를 구성하였다.

SIMULATION OF REGIONAL DAILY FLOW AT UNGAGED SITES USING INTEGRATED GIS-SPATIAL INTERPOLATION (GIS-SI) TECHNIQUE

  • Lee, Ju-Young;Krishinamursh, Ganeshi
    • Water Engineering Research
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    • 제6권2호
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    • pp.39-48
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    • 2005
  • The Brazos River is one of the longest rivers contained entirely in the state of Texas, flowing over 700 miles from northwest Texas to the Gulf of Mexico. Today, the Brazos River Authority and Texas Commission on Environmental Quality interest in drought protection plan, waterpower project, and allowing the appropriation of water system-wide and water right within the Brazos River Basin to meet water needs of customers like farmers and local civilians in the future. Especially, this purpose of this paper primarily intended to provide the data for the engineering guidelines and make easily geological mapping tool. In the Brazos River basin, many stream-flow gage station sites are not working, and they can not provide stream-flow data sets enough for development of the Probable Maximum Flood (PMF) for use in the evaluation of proposed and existing dams and other impounding structures. Integrated GIS-Spatial Interpolation (GIS-SI) tool are composed of two parts; (1) extended GIS technique (new making interface for hydrological regionalization parameters plus classical GIS mapping skills), (2) Spatial Interpolation technique using weighting factors from kriging method. They are obtained from the relationship among location and elevation of geological watershed and existing stream-flow datasets. GIS-SI technique is easily used to compute parameters which get drainage areas, mean daily/monthly/annual precipitation, and weighted values. Also, they are independent variables of multiple linear regressions for simulation at un gaged stream-flow sites. In this study, GIS-SI technique is applied to the Brazos river basin in Texas. By assuming the ungaged flow at the sites of Palo Pinto, Bryan and Needville, the simulated daily/monthly/annual time series are compared with observed time series. The simulated daily/monthly/annual time series are highly correlated with and well fitted to the observed times series.

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