• Title/Summary/Keyword: 공간가중행렬

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The Effects of Neighborhood Segmentation on the Adequacy of a Spatial Regression Model (인근지역 범위 설정이 공간회귀모형 적합에 미치는 영향)

  • Lee, Chang Ro;Park, Key Ho
    • Journal of the Korean Geographical Society
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    • v.48 no.6
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    • pp.978-993
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    • 2013
  • It can be advantage as well as disadvantage to use the spatial weight matrix in a spatial regression model; it would benefit from explicitly quantifying spatial relationships between geographical units, but necessarily involve subjective judgment while specifying the matrix. We took Incheon City as a study area and investigated how the fitness of a spatial regression model changed by constructing various spatial weight matrices. In addition, we explored neighborhood segmentation in the study area and analyzed any influence of it on the model adequacy of two basic spatial regression models, i.e., spatial lagged and spatial error models. The results showed that it can help to improve the adequacy of models to specify the spatial weight matrix strictly, that is, interpreting the neighborhood as small as possible when estimating land price. It was also found that the spatial error model would be preferred in the area with serious spatial heterogeneity. In such area, we found that its spatial heterogeneity can be alleviated by delineating sub-neighborhoods, and as a result, the spatial lagged model would be preferred over the spatial error model.

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Prediction for spatial time series models with several weight matrices (여러 가지 가중행렬을 가진 공간 시계열 모형들의 예측)

  • Lee, Sung Duck;Ju, Su In;Lee, So Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.11-20
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    • 2017
  • In this paper, we introduced linear spatial time series (space-time autoregressive and moving average model) and nonlinear spatial time series (space-time bilinear model). Also we estimated the parameters by Kalman Filter method and made comparative studies of power of forecast in the final model. We proposed several weight matrices such as equal proportion allocation, reciprocal proportion between distances, and proportion of population sizes. For applications, we collected Mumps data at Korea Center for Disease Control and Prevention from January 2001 until August 2008. We compared three approaches of weight matrices using the Mumps data. Finally, we also decided the most effective model based on sum of square forecast error.

Trip Generation Model based on Geographically Weighted Regression (공간가중회귀분석을 이용한 통행발생모형)

  • Kim, Jin-Hui;Park, Il-Seop;Jeong, Jin-Hyeok
    • Journal of Korean Society of Transportation
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    • v.29 no.2
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    • pp.101-109
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    • 2011
  • In most of the urbanized cities, socio-economic attributes tend to cluster as patterns of similarity in space, namely spatial autocorrelation, by agglomeration forces. The classical linear regression model, the most frequently adopted in the trip generation step, cannot sufficiently represent this effect. In order to take into account the effect properly, we need a model which adequately deals with the spatial dependence patterns. In this study, the Geographically Weighted Regression (GWR) model is adopted as an alternative method for the local analysis of relationships in multivariate data sets; that is GWR extends this traditional regression framework by estimating local rather than global parameters. This study shows the existence of spatial effects in the production and attraction of home base/non-home based trips through the GWR model using travel data collected in Daegu metropolitan area. Furthermore, LISA is employed to verify the fact that the local spatial autocorrelation exists.

Type I projection sum of squares by weighted least squares (가중최소제곱법에 의한 제1종 사영제곱합)

  • Choi, Jaesung
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.423-429
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    • 2014
  • This paper discusses a method for getting Type I sums of squares by projections under a two-way fixed-effects model when variances of errors are not equal. The method of weighted least squares is used to estimate the parameters of the assumed model. The model is fitted to the data in a sequential manner by using the model comparison technique. The vector space generated by the model matrix can be composed of orthogonal vector subspaces spanned by submatrices consisting of column vectors related to the parameters. It is discussed how to get the Type I sums of squares by using the projections into the orthogonal vector subspaces.

Development of Exit-Ramp Control Strategy Avoiding Mainline Spillover for Urban Freeway (과포화 신호제어 기법을 응용한 도시고속도로 진출램프 제어전략의 개발)

  • 김영찬;이철기;허혜정
    • Journal of Korean Society of Transportation
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    • v.19 no.3
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    • pp.89-100
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    • 2001
  • 내부순환로의 진출램프 중 성산, 홍은, 홍제, 길음, 마장 진출램프에서는 램프의 지체가 심각하여, 진출차량의 대기행렬이 내부순환로 본선에까지 이르는 대기행렬 역류현상이 발생하고 있다. 이러한 본선으로의 대기행렬 역류는 본선의 혼잡을 가중시키고 교통사고의 위험도 증가시킨다. 본 논문에서는 이러한 도시고속도로의 진출램프 혼잡을 개선하기 위해 진출램프 제어전략을 개발하였다. 진출램프 제어전략의 목표는 진출램프의 대기차량이 본선으로 역류하지 않도록 하는 것이다. 대기행렬의 역류를 막기 위해서는 진출램프의 차량이 인접한 간선도로로 원활하게 진행하도록 해야 하며, 간선도로와 진출램프의 대기행렬을 제어정책에 따라 관리할 수 있어야 한다. 이를 위해서 진출램프 진출부에 신호를 설치하여 간선도로차량의 흐름을 제어하고, 진출부 하류부 교차로와 연동제어를 하여 진출공간을 확보하였다. 또한, 대기행렬의 관리를 위해서는 대기행렬 관리계수를 정의하고 이 값에 따라 현시를 결정할 수 있는 제어식을 유도하였다. 진출램프 제어전략은 과포화 신호제어 기법을 응용하여 개발하였으며, 그 중 Equity offset과 내부미터링 기법을 연동제어에 응용하였고, Imbalanced split 기법은 대기행렬 관리계수에 따라 현시가 결정되는 제어식의 개발에 응용하였다. 진출램프 제어전략을 평가하기 위하여 진출램프의 혼잡으로 인해 본선으로 대기행렬 역류가 발생하는 내부순환로의 홍은, 홍제 진출램프를 선정하였으며, NETSIM을 통해 진출램프 제어전략의 효과를 분석하였다. 분석결과 진출램프의 혼잡이 크게 개선되며, 운영자의 관리목적에 따라 대기행렬의 관리가 이루어지는 것을 볼 수 있었다. 진출램프 제어전략은 내부순환 도시고속도로뿐만 아니라 진출램프 제어가 필요한 타도시고속도로에서도 적용을 하면 좋은 효과를 얻을 수 있을 것으로 예상된다.

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Optimization of Active Tendon Controlled Structures by Efficient Solution of LQR Control Gain (LQR 제어이득의 효율적 산정에 의한 능동텐던 구조물의 최적화)

  • Cho, Chang-Geun;Kyun, Jun-Myong;Jung, In-Kju;Park, Moon-Ho
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.4
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    • pp.73-80
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    • 2008
  • The objective of current study is to develop an optimization technique for the seismic actively controlled building structures using active tendon devices by an efficient solution of LQR control gain. In order to solve the active control system, the Ricatti closed-loop algorithm has been applied, and the state vector has been formulated by the transfer matrix and solved by a numerical technique of the trapezoidal rule. The time-delay problem has been also considered by phase compensation. To optimize the performance index, the ratio of the weighted matrix is the design variable, allowable story drift limits of IBC 2000 and tendon forces have been applied as restraint conditions, and the optimum control program has been developed with the algorithm of the SUMT technique. In examples of the optimization problem of eight stories shear buildings, it is evaluated that the optimum controlled building is more suitable in the control of earthquake response than the uncontrolled system and can reduce the performance index to compare with the controlled system with a constant ratio of the weighted matrix.

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An Analysis of Spatial Determinants of Innovative Activities in Korea (혁신활동의 공간적 결정요인 분석)

  • Jeong, Jun-Ho
    • Journal of the Economic Geographical Society of Korea
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    • v.10 no.4
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    • pp.394-413
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    • 2007
  • This paper attempts to analyze spatial determinants of innovative activities at the municipal level in Korea, capitalizing upon spatial econometric techniques. Several spatially weighted matrices will be employed, implying diverse spatial conceptions and interactions. A contribution can be have been made to enhancing an understanding of the spatial interaction and structure of knowledge spillovers in Korea.

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Prediction of apartment prices per unit in Daegu-Gyeongbuk areas by spatial regression models (공간회귀모형을 이용한 대구경북 지역 단위면적당 아파트 매매가격 예측)

  • Lee, Woo Jung;Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.3
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    • pp.561-568
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    • 2015
  • In this study we predict apartment prices per unit in Daegu-Gyeongbuk areas by spatial lag and spatial error models, both of which belong to so-called spatial regression model. A spatial weight matrix is constructed by k-nearest neighbours method and then the models for the apartment prices in March, 2012 are fitted using the weight matrix. The apartment prices in March, 2013 are predicted by the fitted spatial regression models and then performances of two spatial regression models are compared by RMSE (root mean squared error), RRMSE (root relative mean squared error), MAE (mean absolute error).

Linear Combination of Median Filter (선형 조합을 통한 일반화된 미디언 필터)

  • 최강선;김남형;최병두;고성제
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.565-568
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    • 2001
  • 이 논문에서는 미디언 필터의 선형 조합을 통해 임의의 주파수 특성을 갖는 필터 구조와 그 설계 방법을 제안한다. Linear-phase FIR 저대역통과 필터의 홀수번째 필터 계수의 부호를 바꾸면 FIR 고대역 통과 필터를 얻을 수 있는데, 이것은 필터 계수의 부호가 모두 양수인 두 개의 부분 필터의 차와 같은 모양을 가진다. 이 과정을 일반화하여 비선형 필터에 적용하면 LCWM(linear combination of median filter)필터는 가중 미디언 부필터(sub-filter)의 선형 조합으로 구성된다. 이는 선형 대수학에서 어떤 공간상의 임의의 벡터가 그 공간의 기저 (basls) 벡터들의 선형 조합으로 표현된다는 사실과 유사하다. 따라서 부필터의 필터 계수를 기저 벡터로이용하여 얻어지는 기저 행렬과 필터의 주파수 특성을 조절하는 계수 벡터를 구함으로써 LCWM 필터를 설계할 수 있다. 제안된 필터 설계 방법을 이용하면 특정 주파수 특성을 가지는 FIR 필터와 유사한 특성을 갖는 비선형 필터 구조를 만들 수 있다. LCWM 필터는 고대역 통과, 저대역 통과, BP(band-pass), BS(band-stop)의 임의의 주파수 특성을 가지는 필터로 설계될 수 있음이 실험을 통해 확인되었다.

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Numerical Formulation for Flow Analysis of Dredged Soil (준설토 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.3
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    • pp.41-48
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    • 2014
  • Experimental study of sedimentation and self-weight consolidation has been primary research area in dredged soil. However, good quality of the dredged soil and minimum water pollution caused by the pumping of reclaimed soil require intensive study of the flow characteristics of dredged material due to dumping. In this study, continuity and the equilibrium equations for mass flow assuming single phase was derived to simulate mass flow in dredged containment area. To optimize computation and modeling time for three dimensional geometry and boundary conditions, depth integration is applied to governing equations to consider three dimensional topography of the site. Petrov-Galerkin formulation is applied in spatial discretization of governing equations. Generalized trapezoidal rule is used for time integration, and Newton iteration process approximated the solution. DG and CDG technique were used for weighting matrix in discontinuous test function in dredged flow analysis, and numerical stability was evaluated by performed a square slump simulation. A comparative analysis for numerical methods showed that DG method applied to SU / PG formulation gives minimal pseudo oscillation and reliable numerical results.