• Title/Summary/Keyword: Hierarchical Regression

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인체변수의 계층적 추정기법 개발 및 적용 (Development and application of a hierarchical estimation method for anthropometric variables)

  • 류태범;유희천
    • 대한인간공학회지
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    • 제22권4호
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    • pp.59-78
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    • 2003
  • Most regression models of anthropometric variables use stature and/or weight as regressors; however, these 'flat' regression models result in large errors for anthropometric variables having low correlations with the regressors. To develop more accurate regression models for anthropometric variables, this study proposed a method to estimate anthropometric variables in a hierarchical manner based on the relationships among the variables and a process to develop and improve corresponding regression models. By applying the proposed approach, a hierarchical estimation structure was constructed for 59 anthropometric variables selected for the occupant package design of a passenger car and corresponding regression models were developed with the 1988 US Army anthropometric survey data. The hierarchical regression models were compared with the corresponding flat regression models in terms of accuracy. As results, the standard errors of the hierarchical regression models decreased by 28% (4.3mm) on average compared with those of the flat models.

Multi-Finger 3D Landmark Detection using Bi-Directional Hierarchical Regression

  • Choi, Jaesung;Lee, Minkyu;Lee, Sangyoun
    • Journal of International Society for Simulation Surgery
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    • 제3권1호
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    • pp.9-11
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    • 2016
  • Purpose In this paper we proposed bi-directional hierarchical regression for accurate human finger landmark detection with only using depth information.Materials and Methods Our algorithm consisted of two different step, initialization and landmark estimation. To detect initial landmark, we used difference of random pixel pair as the feature descriptor. After initialization, 16 landmarks were estimated using cascaded regression methods. To improve accuracy and stability, we proposed bi-directional hierarchical structure.Results In our experiments, the ICVL database were used for evaluation. According to our experimental results, accuracy and stability increased when applying bi-directional hierarchical regression more than typical method on the test set. Especially, errors of each finger tips of hierarchical case significantly decreased more than other methods.Conclusion Our results proved that our proposed method improved accuracy and stability and also could be applied to a large range of applications such as augmented reality and simulation surgery.

Bayes Estimation in a Hierarchical Linear Model

  • Park, Kuey-Chung;Chang, In-Hong;Kim, Byung-Hwee
    • Journal of the Korean Statistical Society
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    • 제27권1호
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    • pp.1-10
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    • 1998
  • In the problem of estimating a vector of unknown regression coefficients under the sum of squared error losses in a hierarchical linear model, we propose the hierarchical Bayes estimator of a vector of unknown regression coefficients in a hierarchical linear model, and then prove the admissibility of this estimator using Blyth's (196\51) method.

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Hierarchical Regression for Single Image Super Resolution via Clustering and Sparse Representation

  • Qiu, Kang;Yi, Benshun;Li, Weizhong;Huang, Taiqi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권5호
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    • pp.2539-2554
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    • 2017
  • Regression-based image super resolution (SR) methods have shown great advantage in time consumption while maintaining similar or improved quality performance compared to other learning-based methods. In this paper, we propose a novel single image SR method based on hierarchical regression to further improve the quality performance. As an improvement to other regression-based methods, we introduce a hierarchical scheme into the process of learning multiple regressors. First, training samples are grouped into different clusters according to their geometry similarity, which generates the structure layer. Then in each cluster, a compact dictionary can be learned by Sparse Coding (SC) method and the training samples can be further grouped by dictionary atoms to form the detail layer. Last, a series of projection matrixes, which anchored to dictionary atoms, can be learned by linear regression. Experiment results show that hierarchical scheme can lead to regression that is more precise. Our method achieves superior high quality results compared with several state-of-the-art methods.

Bayesian Curve-Fitting in Semiparametric Small Area Models with Measurement Errors

  • Hwang, Jinseub;Kim, Dal Ho
    • Communications for Statistical Applications and Methods
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    • 제22권4호
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    • pp.349-359
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    • 2015
  • We study a semiparametric Bayesian approach to small area estimation under a nested error linear regression model with area level covariate subject to measurement error. Consideration is given to radial basis functions for the regression spline and knots on a grid of equally spaced sample quantiles of covariate with measurement errors in the nested error linear regression model setup. We conduct a hierarchical Bayesian structural measurement error model for small areas and prove the propriety of the joint posterior based on a given hierarchical Bayesian framework since some priors are defined non-informative improper priors that uses Markov Chain Monte Carlo methods to fit it. Our methodology is illustrated using numerical examples to compare possible models based on model adequacy criteria; in addition, analysis is conducted based on real data.

Semiparametric Bayesian Estimation under Structural Measurement Error Model

  • Hwang, Jin-Seub;Kim, Dal-Ho
    • Communications for Statistical Applications and Methods
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    • 제17권4호
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    • pp.551-560
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    • 2010
  • This paper considers a Bayesian approach to modeling a flexible regression function under structural measurement error model. The regression function is modeled based on semiparametric regression with penalized splines. Model fitting and parameter estimation are carried out in a hierarchical Bayesian framework using Markov chain Monte Carlo methodology. Their performances are compared with those of the estimators under structural measurement error model without a semiparametric component.

Semiparametric Bayesian estimation under functional measurement error model

  • Hwang, Jin-Seub;Kim, Dal-Ho
    • Journal of the Korean Data and Information Science Society
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    • 제21권2호
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    • pp.379-385
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    • 2010
  • This paper considers Bayesian approach to modeling a flexible regression function under functional measurement error model. The regression function is modeled based on semiparametric regression with penalized splines. Model fitting and parameter estimation are carried out in a hierarchical Bayesian framework using Markov chain Monte Carlo methodology. Their performances are compared with those of the estimators under functional measurement error model without semiparametric component.

조직 내 상사의 변혁적 리더십과 부하직원의 조직몰입 간의 관계에서 감성적 지능의 조절효과 분석 (The Moderating Effects of Emotional Intelligence in the Relations between Transformational Leadership and Organizational Commitment)

  • 장충석;박종오
    • 디지털융복합연구
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    • 제10권11호
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    • pp.209-223
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    • 2012
  • 본 연구는 인적자원 개발 기관에서 상사의 변혁적 리더십과 부하 직원의 조직몰입 간의 영향관계에서 상사의 감성적 지능이 미치는 조절효과를 분석하여 효과적인 리더십의 발휘를 위한 이론적 근거를 제시하는 것을 연구의 목적으로 하고 있다. 이러한 연구의 목적을 달성하기 위하여 관련 이론과 선행연구를 검토하고 설정한 가설을 검증하기 위해 실정분석을 하였다. 가설 검증을 위한 통계분석 기법으로써 위계적 회귀분석을 실시한 결과, 상사의 변혁적리더십 특성을 구성하는 하위 요인으로서 카리스마, 지적자극 특성과 부하 직원의 조직몰입 간의 관계에서 상사의 감성적 지능은 통계적으로 유의한 조절효과를 발휘하는 것으로 나타났으며, 상사의 영감적 동기부여와 개별적 배려는 부하 직원의 조직몰입 간의 관계에서 감성적 지능의 조절효과는 유의하지 않은 것으로 나타났다. 따라서 인적자원개발 기관에서 상사는 부하 직원이 조직의 목표와 가치 및 경영 철학을 자기의 그것과 동일시하고 조직의 목표를 달성하기 위하여 최선의 노력을 다하고 조직에 몰입하도록 하기 위해서는 감성적 지능을 지속적으로 개발하고 최대한 활용하여 변혁적 리더십을 발휘함으로써 효과적인 리더십의 발휘가 가능하고 나아가서 조직의 성과를 극대화 할 수 있을 것으로 사료된다.

A Bayesian Method for Narrowing the Scope fo Variable Selection in Binary Response t-Link Regression

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • 제29권4호
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    • pp.407-422
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    • 2000
  • This article is concerned with the selecting predictor variables to be included in building a class of binary response t-link regression models where both probit and logistic regression models can e approximately taken as members of the class. It is based on a modification of the stochastic search variable selection method(SSVS), intended to propose and develop a Bayesian procedure that used probabilistic considerations for selecting promising subsets of predictor variables. The procedure reformulates the binary response t-link regression setup in a hierarchical truncated normal mixture model by introducing a set of hyperparameters that will be used to identify subset choices. In this setup, the most promising subset of predictors can be identified as that with highest posterior probability in the marginal posterior distribution of the hyperparameters. To highlight the merit of the procedure, an illustrative numerical example is given.

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Admissible Hierarchical Bayes Estimators of a Multivariate Normal Mean Shrinking towards a Regression Surface

  • Cho, Byung-Yup;Choi, Kuey-Chung;Chang, In-Hong
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.205-216
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    • 1996
  • Consider the problem of estimating a multivariate normal mean with an unknown covarience matrix under a weighted sum of squared error losses. We first provide hierarchical Bayes estimators which shrink the usual (maximum liklihood, uniformly minimum variance unbiased) estimator towards a regression surface and then prove the admissibility of these estimators using Blyth's (1951) method.

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