• 제목/요약/키워드: Spatial Regression

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지리시간가중 회귀모형을 이용한 주택가격 영향요인 분석 (Application of geographical and temporal weighted regression model to the determination of house price)

  • 박세희;김민수;백장선
    • Journal of the Korean Data and Information Science Society
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    • 제28권1호
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    • pp.173-183
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    • 2017
  • 본 연구는 아파트 개별 실거래가격에 대한 시공간 자료를 활용하여 아파트 매매가격에 영향을 미치는 요인을 시계열적 흐름과 공간적 변화를 반영한 지리시간가중 회귀모형 (geographical temporal weighted regression; GTWR)모형을 적용하여 분석하였다. 기존 연구에서 활용되었던 일반적인 접근방법인 최소제곱 (ordinary least square; OLS) 회귀모형과 공간 데이터를 분석하기 위한 공간계량 모델 중 가장 많이 활용되고 있는 지리가중 회귀모형 (geographically weighted regression;GWR)과 달리 GTWR은 주택가격 특성을 고려함에 있어서 시간과 공간을 함께 고려함으로써 보다 정밀한 평가모형이 될 것으로 기대되었다. 본 연구에 사용된 주택가격결정 설명 요인들 중에서 건축연도 및 전용면적이 주택가격을 결정하는데 유의적인 영향을 미치는 것으로 나타났으며, 주택가격이 시간적 공간적 특성 모두에 의하여 유의적으로 설명되었다.

Nonparametric M-Estimation for Functional Spatial Data

  • Attouch, Mohammed Kadi;Chouaf, Benamar;Laksaci, Ali
    • Communications for Statistical Applications and Methods
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    • 제19권1호
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    • pp.193-211
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    • 2012
  • This paper deals with robust nonparametric regression analysis when the regressors are functional random fields. More precisely, we consider $Z_i=(X_i,Y_i)$, $i{\in}\mathbb{N}^N$ be a $\mathcal{F}{\times}\mathbb{R}$-valued measurable strictly stationary spatial process, where $\mathcal{F}$ is a semi-metric space and we study the spatial interaction of $X_i$ and $Y_i$ via the robust estimation for the regression function. We propose a family of robust nonparametric estimators for regression function based on the kernel method. The main result of this work is the establishment of the asymptotic normality of these estimators, under some general mixing and small ball probability conditions.

대공간 구조물의 UHPC 적용을 위한 기계학습 기반 강도예측기법 (Machine Learning Based Strength Prediction of UHPC for Spatial Structures)

  • 이승혜;이재홍
    • 한국공간구조학회논문집
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    • 제20권4호
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    • pp.111-121
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    • 2020
  • There has been increasing interest in UHPC (Ultra-High Performance Concrete) materials in recent years. Owing to the superior mechanical properties and durability, the UHPC has been widely used for the design of various types of structures. In this paper, machine learning based compressive strength prediction methods of the UHPC are proposed. Various regression-based machine learning models were built to train dataset. For train and validation, 110 data samples collected from the literatures were used. Because the proportion between the compressive strength and its composition is a highly nonlinear, more advanced regression models are demanded to obtain better results. The complex relationship between mixture proportion and concrete compressive strength can be predicted by using the selected regression method.

Geographically weighted least squares-support vector machine

  • Hwang, Changha;Shim, Jooyong
    • Journal of the Korean Data and Information Science Society
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    • 제28권1호
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    • pp.227-235
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    • 2017
  • When the spatial information of each location is given specifically as coordinates it is popular to use the geographically weighted regression to incorporate the spatial information by assuming that the regression parameters vary spatially across locations. In this paper, we relax the linearity assumption of geographically weighted regression and propose a geographically weighted least squares-support vector machine for estimating geographically weighted mean by using the basic concept of kernel machines. Generalized cross validation function is induced for the model selection. Numerical studies with real datasets have been conducted to compare the performance of proposed method with other methods for predicting geographically weighted mean.

An Adaptive Weighted Regression and Guided Filter Hybrid Method for Hyperspectral Pansharpening

  • Dong, Wenqian;Xiao, Song
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권1호
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    • pp.327-346
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    • 2019
  • The goal of hyperspectral pansharpening is to combine a hyperspectral image (HSI) with a panchromatic image (PANI) derived from the same scene to obtain a single fused image. In this paper, a new hyperspectral pansharpening approach using adaptive weighted regression and guided filter is proposed. First, the intensity information (INT) of the HSI is obtained by the adaptive weighted regression algorithm. Especially, the optimization formula is solved to obtain the closed solution to reduce the calculation amount. Then, the proposed method proposes a new way to obtain the sufficient spatial information from the PANI and INT by guided filtering. Finally, the fused HSI is obtained by adding the extracted spatial information to the interpolated HSI. Experimental results demonstrate that the proposed approach achieves better property in preserving the spectral information as well as enhancing the spatial detail compared with other excellent approaches in visual interpretation and objective fusion metrics.

Development of an R-based Spatial Downscaling Tool to Predict Fine Scale Information from Coarse Scale Satellite Products

  • Kwak, Geun-Ho;Park, No-Wook;Kyriakidis, Phaedon C.
    • 대한원격탐사학회지
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    • 제34권1호
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    • pp.89-99
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    • 2018
  • Spatial downscaling is often applied to coarse scale satellite products with high temporal resolution for environmental monitoring at a finer scale. An area-to-point regression kriging (ATPRK) algorithm is regarded as effective in that it combines regression modeling and residual correction with area-to-point kriging. However, an open source tool or package for ATPRK has not yet been developed. This paper describes the development and code organization of an R-based spatial downscaling tool, named R4ATPRK, for the implementation of ATPRK. R4ATPRK was developed using the R language and several R packages. A look-up table search and batch processing for computation of ATP kriging weights are employed to improve computational efficiency. An experiment on spatial downscaling of coarse scale land surface temperature products demonstrated that this tool could generate downscaling results in which overall variations in input coarse scale data were preserved and local details were also well captured. If computational efficiency can be further improved, and the tool is extended to include certain advanced procedures, R4ATPRK would be an effective tool for spatial downscaling of coarse scale satellite products.

Analysis of Linear Regression Model with Two Way Correlated Errors

  • Ssong, Seuck-Heun
    • Journal of the Korean Statistical Society
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    • 제29권2호
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    • pp.231-245
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    • 2000
  • This paper considers a linear regression model with space and time data in where the disturbances follow spatially correlated error components. We provide the best linear unbiased predictor for the one way error components. We provide the best linear unbiased predictor for the one way error component model with spatial autocorrelation. Further, we derive two diagnostic test statistics for the assessment of model specification due to spatial dependence and random effects as an application of the Lagrange Multiplier principle.

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Asymptotic Properties of the Disturbance Variance Estimator in a Spatial Panel Data Regression Model with a Measurement Error Component

  • Lee, Jae-Jun
    • Communications for Statistical Applications and Methods
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    • 제17권3호
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    • pp.349-356
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    • 2010
  • The ordinary least squares based estimator of the disturbance variance in a regression model for spatial panel data is shown to be asymptotically unbiased and weakly consistent in the context of SAR(1), SMA(1) and SARMA(1,1)-disturbances when there is measurement error in the regressor matrix.

고령화 현상의 공간적 패턴 변화와 지역특성과의 관계 분석 (Analysis on Spatial Pattern Changes of Aging Phenomenon and Relation between Aging Population and Regional Characteristics)

  • 이지민
    • 농촌계획
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    • 제22권4호
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    • pp.139-146
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    • 2016
  • Aging phenomenon is an important issue in Korea national policy. This aging phenomenon depends on the social and environmental characteristics of regions. Also aging phenomenon and regional characteristics have spatial dependency. The purpose of this study is to discover the spatial changes in aging population rate and to find local factors of regional aging phenomenon considering spatial autocorrelation. For spatial analysis of ageing phenomenon, local Moran's I and Geographically Weighted Regression (GWR) were applied. As the results, the most significant changes of aging phenomenon appeared between 2000 and 2005, and most of hot-spot regions (aged regions) were distributed in Jullanam-do and Jullabuk-do. The results of GWR (R-square: 0.681) shows that total fertility rate, the number of doctor per 1,000 people and forest area rate have positive relation with aging population rate, but the number of private academy per 1,000 people has negative relation.

공간자료 주성분분석 (Principal component regression for spatial data)

  • 임예지
    • 응용통계연구
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    • 제30권3호
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    • pp.311-321
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    • 2017
  • 주성분 분석은 통계학 뿐만 아니라 기상학에서 널리 사용되는 방법론이며, 고차원 자료에 대한 차원축소 역할 뿐만아니라 기상자료에서의 의미있는 패턴을 찾아내기 위해 사용되는 방법론이다. 또한 주성분분석에 기반을 둔 주성분 회귀분석 방법론은 기후예측이 가능하므로 미래 시점의 기후값 예측에 사용될 수 있다. 본 논문에서는 Wang과 Huang (2016) 논문에서 제안한 제한된 공간 주성분 분석을 기반으로 한 주성분 회귀분석 방법론을 개발하였다. 이를 시뮬레이션을 통하여 확인하였고, 실제 자료인 동아시아 지역 온도예측에 적용하여 기존의 주성분 회귀분석 예측 값에 비해 예측력이 높아짐을 확인하였다.