• Title/Summary/Keyword: penalized

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Semiparametric Regression Splines in Matched Case-Control Studies

  • Kim, In-Young;Carroll, Raymond J.;Cohen, Noah
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.167-170
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    • 2003
  • We develop semiparametric methods for matched case-control studies using regression splines. Three methods are developed: an approximate crossvalidation scheme to estimate the smoothing parameter inherent in regression splines, as well as Monte Carlo Expectation Maximization (MCEM) and Bayesian methods to fit the regression spline model. We compare the approximate cross-validation approach, MCEM and Bayesian approaches using simulation, showing that they appear approximately equally efficient, with the approximate cross-validation method being computationally the most convenient. An example from equine epidemiology that motivated the work is used to demonstrate our approaches.

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Parametric Blind Restoration of Bi-level Images with Unknown Intensities

  • Kim, Daeun;Ahn, Sohyun;Kim, Jeongtae
    • IEIE Transactions on Smart Processing and Computing
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    • v.5 no.5
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    • pp.319-322
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    • 2016
  • We propose a parametric blind deconvolution method for bi-level images with unknown intensity levels that estimates unknown parameters for point spread functions and images by minimizing a penalized nonlinear least squares objective function based on normalized correlation coefficients and two regularization functions. Unlike conventional methods, the proposed method does not require knowledge about true intensity values. Moreover, the objective function of the proposed method can be effectively minimized, since it has the special structure of nonlinear least squares. We demonstrate the effectiveness of the proposed method through simulations and experiments.

Country Analysis: Algeria

  • Mehyaoul, Quafaa
    • Asian Journal of Business Environment
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    • v.5 no.3
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    • pp.29-31
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    • 2015
  • Purpose - The purpose of this country analysis is to examine its current state: economically, politically, legally, and ethically, and look at small and medium Algerian businesses to identify any issues that could hinder economic and business performance and growth. Research Design, and Methodology - This is a case study, an analytical approach, which focuses on exploring and analyzing different aspects of Algeria. Results - Since 2008, the Algerian economy has experienced a relative slowdown due to falling oil and gas prices and the economic recessions of its main trading partners, in particular, European countries. Algeria has still not managed to diversify its economy or establish competitive industrialization at the international level; it has had difficulty shifting from its economic dependence on hydrocarbons. Algerian businesses continue to face obstacles and constraints, penalized in their performance and prevented from success in a dense and competitive global marketplace. Conclusion - The Algerian economy and Algerian businesses have shown positive performance and growth over the last few decades. However, issues exist that may hinder both business and economic progress in the future.

Principal Component Regression by Principal Component Selection

  • Lee, Hosung;Park, Yun Mi;Lee, Seokho
    • Communications for Statistical Applications and Methods
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    • v.22 no.2
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    • pp.173-180
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    • 2015
  • We propose a selection procedure of principal components in principal component regression. Our method selects principal components using variable selection procedures instead of a small subset of major principal components in principal component regression. Our procedure consists of two steps to improve estimation and prediction. First, we reduce the number of principal components using the conventional principal component regression to yield the set of candidate principal components and then select principal components among the candidate set using sparse regression techniques. The performance of our proposals is demonstrated numerically and compared with the typical dimension reduction approaches (including principal component regression and partial least square regression) using synthetic and real datasets.

A convenient approach for penalty parameter selection in robust lasso regression

  • Kim, Jongyoung;Lee, Seokho
    • Communications for Statistical Applications and Methods
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    • v.24 no.6
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    • pp.651-662
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    • 2017
  • We propose an alternative procedure to select penalty parameter in $L_1$ penalized robust regression. This procedure is based on marginalization of prior distribution over the penalty parameter. Thus, resulting objective function does not include the penalty parameter due to marginalizing it out. In addition, its estimating algorithm automatically chooses a penalty parameter using the previous estimate of regression coefficients. The proposed approach bypasses cross validation as well as saves computing time. Variable-wise penalization also performs best in prediction and variable selection perspectives. Numerical studies using simulation data demonstrate the performance of our proposals. The proposed methods are applied to Boston housing data. Through simulation study and real data application we demonstrate that our proposals are competitive to or much better than cross-validation in prediction, variable selection, and computing time perspectives.

Claims Reserving via Kernel Machine

  • Kim, Mal-Suk;Park, He-Jung;Hwang, Chang-Ha;Shim, Joo-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1419-1427
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    • 2008
  • This paper shows the kernel Poisson regression which can be applied in the claims reserving, where the row effect is assumed to be a nonlinear function of the row index. The paper concentrates on the chain-ladder technique, within the framework of the chain-ladder linear model. It is shown that the proposed method can provide better reserve estimates than the Poisson model. The cross validation function is introduced to choose optimal hyper-parameters in the procedure. Experimental results are then presented which indicate the performance of the proposed model.

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Kernel Poisson Regression for Longitudinal Data

  • Shim, Joo-Yong;Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1353-1360
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    • 2008
  • An estimating procedure is introduced for the nonlinear mixed-effect Poisson regression, for longitudinal study, where data from different subjects are independent whereas data from same subject are correlated. The proposed procedure provides the estimates of the mean function of the response variables, where the canonical parameter is related to the input vector in a nonlinear form. The generalized cross validation function is introduced to choose optimal hyper-parameters in the procedure. Experimental results are then presented, which indicate the performance of the proposed estimating procedure.

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Variable selection in censored kernel regression

  • Choi, Kook-Lyeol;Shim, Jooyong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.1
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    • pp.201-209
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    • 2013
  • For censored regression, it is often the case that some input variables are not important, while some input variables are more important than others. We propose a novel algorithm for selecting such important input variables for censored kernel regression, which is based on the penalized regression with the weighted quadratic loss function for the censored data, where the weight is computed from the empirical survival function of the censoring variable. We employ the weighted version of ANOVA decomposition kernels to choose optimal subset of important input variables. Experimental results are then presented which indicate the performance of the proposed variable selection method.

An Algorithm for the Traveling Salesperson Problem with Time Windows and Lateness Costs

  • Suh, Byung-Kyoo;Kim, Jong-Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.53
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    • pp.13-22
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    • 1999
  • This paper presents a model and dynamic programming based algorithm for the Traveling Salesperson Problem with Time Windows (TSPTW). The main difference of our model compared with the previous ones lies in that the time windows we are concerned are far more flexible and realistic. In the typical TSPTW, the service at a node must begin within the time grid called the time window that is defined by the earliest and the latest time to start the service at the node. But, in real business practices, a lateness cost is usually penalized rather than the service is prohibited at all when a vehicle arrives after the latest time. Considering this situation, we propose a model with a new time window that allows an arrival after the latest time and penalizes the late arrival by charging a lateness cost. An algorithm introduced for the model is extensively tested to verify the accuracy and efficiency.

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Design of a Low-Order H Controller Using an Iterative LMI Method (반복 선형행렬부등식을 이용한 저차원 H 제어기 설계)

  • Kim Chun-Kyung;Kim Kook-Hun;Moon Young-Hyun;Kim Seog-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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    • pp.279-283
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    • 2005
  • This paper deals with the design of a low-order H/sub ∞/ controller by using an iterative linear matrix inequality (LMI) method. The low-order H/sub ∞/ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, the recently developed penalty function method is applied. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. Numerical experiments showed the effectiveness of the proposed algorithm.