• Title/Summary/Keyword: Spline regression

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Adaptive Regression by Mixing for Fixed Design

  • Oh, Jong-Chul;Lu, Yun;Yang, Yuhong
    • Communications for Statistical Applications and Methods
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    • v.12 no.3
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    • pp.713-727
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    • 2005
  • Among different regression approaches, nonparametric procedures perform well under different conditions. In practice it is very hard to identify which is the best procedure for the data at hand, thus model combination is of practical importance. In this paper, we focus on one dimensional regression with fixed design. Polynomial regression, local regression, and smoothing spline are considered. The data are split into two parts, one part is used for estimation and the other part is used for prediction. Prediction performances are used to assign weights to different regression procedures. Simulation results show that the combined estimator performs better or similarly compared with the estimator chosen by cross validation. The combined estimator generates a similar risk to the best candidate procedure for the data.

Dynamic Temperature Compensation System Development for the Accelerometer with Modified Spline Interpolation (Curve Fitting) (변형 스플라인 보간법(곡선맞춤)을 통한 가속도 센서의 동적 온도 보상 시스템 개발)

  • Lee, Hoochang;Go, Jaedoo;Yoo, Kwangho;Kim, Wanil
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.3
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    • pp.114-122
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    • 2014
  • Sensor fusion is the one of the main research topics. It offers the highly reliable estimation of vehicle movement by processing and mixing several sensor outputs. But unfortunately, every sensor has drift which degrades the performance of sensor. It means a single degraded sensor output may affect whole sensor fusion system. Drift in most research is ideally assumed to be zero because it's usually a nonlinear model and has sample variation. Plus, it's very difficult for the acceleration to separate drift from the output signal since it contains many contributors such as vehicle acceleration, slope angle, pitch angle, surface condition and so on. In this paper, modified spline interpolation is introduced as a dynamic temperature compensation method covering sample variation. Using the last known output and the first initial output is suggested to build and update compensation factor. When the system has more compensation data, the system will have better performance of compensated output because of the regression compensation model. The performance of the dynamic temperature compensation system is evaluated by measuring offset drift between with and without the compensation.

Long term trend for particular matters in Seoul (서울 지역에서 분진에 대한 장기 추세 연구)

  • Park, Hye-Ryun;Choi, Ki-Heon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.765-777
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    • 2009
  • Our study aimed to illustrate long term trend in 10 micrometer particular matters excluding confounding effect. Daily 10 micrometer particular matters data were measured in 27 places and meteorological data (maximum temperature, humidity and maximum wind speed, solar radiation) were obtained from the national institute of environmental research for the period from January, 1996 to December 2000. To estimate the increasing and decreasing long term trend in a set of observed data, set up the model. The model included regression spline smooth function on the time and meteorological factors to capture the seasonal time trend and any possible nonlinear relationship. The result was estimated to decrease slightly after adjusting for meteorological factors and seasonal time trend.

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Life-Cycle Home Ownership and Residential Patterns: An Empirical Analysis of Home Ownership Across Generations (생애주기별 주택소유와 주거유형: 연령대별 손바뀜 현상에 대한 실증분석)

  • Sim, Seung-Gyu;Ji, Inyeob
    • Land and Housing Review
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    • v.12 no.4
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    • pp.31-40
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    • 2021
  • In the present article we examine life-cycle housing demand for Korea. Distinguished in this work from prior research is the consideration of non-monocinity in the life-cycle housing demand. To this end, we adopt spline logistic regression models. Our findings suggest that life-cyclicity is most clear in Korean housing demand; namely, 1) small (mid-large) house ownership falls (grows) dramatically as households age into middle aged; 2) middle aged households do not participate in the rental or purchase market actively; 3) elderly population does not dispose of their housing to the same extent as younger generations acquire housing.

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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Extending Ionospheric Correction Coverage Area By Using A Neural Network Method

  • Kim, Mingyu;Kim, Jeongrae
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.1
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    • pp.64-72
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    • 2016
  • The coverage area of a GNSS regional ionospheric delay model is mainly determined by the distribution of GNSS ground monitoring stations. Extrapolation of the ionospheric model data can extend the coverage area. An extrapolation algorithm, which combines observed ionospheric delay with the environmental parameters, is proposed. Neural network and least square regression algorithms are developed to utilize the combined input data. The bi-harmonic spline method is also tested for comparison. The IGS ionosphere map data is used to simulate the delays and to compute the extrapolation error statistics. The neural network method outperforms the other methods and demonstrates a high extrapolation accuracy. In order to determine the directional characteristics, the estimation error is classified into four direction components. The South extrapolation area yields the largest estimation error followed by North area, which yields the second-largest error.

Diagnostics for Estimated Smoothing Parameter by Generalized Maximum Likelihood Function (일반화최대우도함수에 의해 추정된 평활모수에 대한 진단)

  • Jung, Won-Tae;Lee, In-Suk;Jeong, Hae-Jeong
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.257-262
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    • 1996
  • When we are estimate the smoothing parameter in spline regression model, we deal the diagnostic of influence observations as posteriori analysis. When we use Generalized Maximum Likelihood Function as the estimation method of smoothing parameter, we propose the diagnostic measure for influencial observations in the obtained estimate, and we introduce the finding method of the proper smoothing parameter estimate.

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Influence Diagnostic Measure for Spline Estimator

  • Lee, In-Suk;Cho, Gyo-Young;Jung, Won-Tae
    • Journal of Korean Society for Quality Management
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    • v.23 no.4
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    • pp.58-63
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    • 1995
  • To access the quality of a fit to a set of data it is always useful to conduct a posteriori analysis involving the examination of residuals, detection of influential data values, etc. Smoothing splines are a type of nonparametric regression estimators for the diagnostic problem. And leverage value, Cook's distance, and DFFITS are used for detecting influential data. Since high leverage points will always have small residuals, the new diagnostic measures including of properties of leverage and residuals are needed. In this paper, we propose FVARATIO version as diagnostic measure in nonparametric regression. Also we consider the rough bound as analogy with linear regression case.

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Application of Multivariate Adaptive Regression Spline-Assisted Objective Function on Optimization of Heat Transfer Rate Around a Cylinder

  • Dey, Prasenjit;Das, Ajoy K.
    • Nuclear Engineering and Technology
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    • v.48 no.6
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    • pp.1315-1320
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    • 2016
  • The present study aims to predict the heat transfer characteristics around a square cylinder with different corner radii using multivariate adaptive regression splines (MARS). Further, the MARS-generated objective function is optimized by particle swarm optimization. The data for the prediction are taken from the recently published article by the present authors [P. Dey, A. Sarkar, A.K. Das, Development of GEP and ANN model to predict the unsteady forced convection over a cylinder, Neural Comput. Appl. (2015) 1-13]. Further, the MARS model is compared with artificial neural network and gene expression programming. It has been found that the MARS model is very efficient in predicting the heat transfer characteristics. It has also been found that MARS is more efficient than artificial neural network and gene expression programming in predicting the forced convection data, and also particle swarm optimization can efficiently optimize the heat transfer rate.