• 제목/요약/키워드: Polynomial Regression

검색결과 360건 처리시간 0.025초

ON MARGINAL INTEGRATION METHOD IN NONPARAMETRIC REGRESSION

  • Lee, Young-Kyung
    • Journal of the Korean Statistical Society
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    • 제33권4호
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    • pp.435-447
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    • 2004
  • In additive nonparametric regression, Linton and Nielsen (1995) showed that the marginal integration when applied to the local linear smoother produces a rate-optimal estimator of each univariate component function for the case where the dimension of the predictor is two. In this paper we give new formulas for the bias and variance of the marginal integration regression estimators which are valid for boundary areas as well as fixed interior points, and show the local linear marginal integration estimator is in fact rate-optimal when the dimension of the predictor is less than or equal to four. We extend the results to the case of the local polynomial smoother, too.

Longitudinal Analysis of Body Weight and Feed Intake in Selection Lines for Residual Feed Intake in Pigs

  • Cai, W.;Wu, H.;Dekkers, J.C.M.
    • Asian-Australasian Journal of Animal Sciences
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    • 제24권1호
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    • pp.17-27
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    • 2011
  • A selection experiment for reduced residual feed intake (RFI) in Yorkshire pigs consisted of a line selected for lower RFI (LRFI) and a random control line (CTRL). Longitudinal measurements of daily feed intake (DFI) and body weight (BW) from generation 5 of this experiment were used. The objectives of this study were to evaluate the use of random regression (RR) and nonlinear mixed models to predict DFI and BW for individual pigs, accounting for the substantial missing information that characterizes these data, and to evaluate the effect of selection for RFI on BW and DFI curves. Forty RR models with different-order polynomials of age as fixed and random effects, and with homogeneous or heterogeneous residual variance by month of age, were fitted for both DFI and BW. Based on predicted residual sum of squares (PRESS) and residual diagnostics, the quadratic polynomial RR model was identified to be best, but with heterogeneous residual variance for DFI and homogeneous residual variance for BW. Compared to the simple quadratic and linear regression models for individual pigs, these RR models decreased PRESS by 1% and 2% for DFI and by 42% and 36% for BW on boars and gilts, respectively. Given the same number of random effects as the polynomial RR models, i.e., two for BW and one for DFI, the non-linear Gompertz model predicted better than the polynomial RR models but not as good as higher order polynomial RR models. After five generations of selection for reduced RFI, the LRFI line had a lower population curve for DFI and BW than the CTRL line, especially towards the end of the growth period.

다항회귀를 이용한 필름 스캐너에서의 색보정 (Color Correction Using Polynomial Regression in Film Scanner)

  • 김태현;백중환
    • 대한전자공학회논문지SP
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    • 제40권1호
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    • pp.43-50
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    • 2003
  • 오늘날 멀티미디어의 응용이 크게 늘면서 영상 취득 장치의 수요가 증대되고 있다. 그중 필름 스캐너는 고해상도와 고화질의 디지털 영상을 취득할 수 있는 장치이다. 그러나 필름 스캐너에서는 광원 및 센서의 비선형적 특성으로 인해 원 필름 영상의 컬러와 스캔된 영상의 컬러가 정확히 일치하지 않는 문제가 발생한다. 따라서, 필름 스캐너에서는 스캔된 디지털 영상에 대한 색보정이 필수적이다. 본 논문에서는 스캔된 RGB 색공간의 데이터를 CIE L/sup */a/sup */b/sup */ 색공간으로 변환한 후 다항회귀를 이용하여 색보정한다. 또한, TMS320C32 DSP 칩과 고해상도 라인 센서를 사용하여 R, G, B 각각 12 비트의 색분해도와 2400 dpi 급의 해상도를 갖는 스캐너 하드웨어를 구현하였다. 제작한 스캐너의 색보정 성능을 평가하기 위한 실험 결과, 색보정 전에는 평균색차 (ΔE/sup *//sub ab/)가 13.48 이었던 것이 색보정 후에는 8.46으로 감소함을 확인하였다.

2차 다항회귀 메타모델을 이용한 달착륙선 충격흡수 시스템의 순차적 근사 최적설계 (Sequential Approximate Optimization of Shock Absorption System for Lunar Lander by using Quadratic Polynomial Regression Meta-model)

  • 오민환;조영민;이희준;조진연;황도순
    • 한국항공우주학회지
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    • 제39권4호
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    • pp.314-320
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    • 2011
  • 본 연구에서는 2단으로 구성된 달착륙선 충격 흡수 장치에 대한 최적화를 수행하였다. 충격 흡수 장치의 복잡한 충격거동을 모사하기 위해 1차원 구성방정식 모델을 제안하였으며, 이와 함께 상용해석 소프트웨어인 ABAQUS를 활용하여 최적화를 위한 2차 다항회귀 메타모델을 구성하였다. 구성된 메타모델을 순차적 근사 최적설계 기법에 적용하여 2단 충격 흡수 장치의 최적화를 수행하였으며, 이를 통해 허니컴 구조를 이용한 충격 흡수장치의 셀크기와 포일 두께를 변화시킴에 따라 달착륙선의 월면 착륙 시 충격하중을 크게 저감시킬 수 있음을 확인하였다.

다항식 회귀분석을 이용한 마이크로 버블의 종말상승속도 모델식 구축 및 운전조건 최적화 (Model setup and optimization of the terminal rise velocity of microbubbles using polynomial regression analysis)

  • 박일건;김흥래;조일형
    • 한국응용과학기술학회지
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    • 제35권4호
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    • pp.1393-1406
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    • 2018
  • 본 연구는 3개의 운전변수(압력, 공기량, 운전시간)를 실험 설계하고 마이크로 버블의 종말부상속도(Terminal rise velocity)를 반응 값으로 하여 예측식 모델과 최적 조건을 수립하였다. 다항식 회귀분석을 통해 펌프의 압력($X_1$) 4.5bar, 공기량($X_2$) 3.3L/min 그리고 운전시간($X_3$)이 2.2min에서 종말상승속도(Terminal rise velocity)에 대한 최적값인 5.14 cm/min ($85.7{\mu}m/sec$)을 얻었다. 또한, 레이저 입자계수 측정장치를 이용하여 $2{\sim}5{\mu}m$$25{\sim}50{\mu}m$ 영역에서의 가장 높은 마이크로버블 직경크기 분포를 확인하였다.

유한요소해석을 이용한 후육관 롤포밍에서의 초기소재 에지 형상 예측과 설계 (Prediction and Design of Edge Shape of Initial Strip for Thick Tube Roll Forming using Finite Element Method)

  • 김낙수;이승윤
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.644-652
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    • 2002
  • Increasing demands for Electric Resistance Welded pipes of high quality with thick wall require c lose investigations in edge deformation by slitting, strip deformation during break down farming, and difference of circumferential length. In order to obtain good quality of a welding zone, it is necessary to predict the edge shape of the initial strip. The modeling of the multi-pass thick tube roll forming process with rigid plastic finite element method ultra the edge shape prediction of an initial strip with 2nd-degree polynomial regression method are presented. Edge shapes of initial strip have been analyzed by the finite element method and designed by the regression method to satisfy the requirements in target fin pass. It is concluded that the proposed edge design method results in optimal edge shapes sat string the design requirements.

Digital Magnetic Compass With Smart Correction Function - Recent Experimental Results and Further Works -

  • Yim, Jeong-Bin;Shim, Yeong-Ho;Kim, Chang-Kyeong;Choi, Gi-Young
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2004년도 Asia Navigation Conference
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    • pp.29-36
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    • 2004
  • The paper describes recent experimental results on the development of Digital Magnetic Compass (DMC), which can provide smart automatic correction functions to the magnetic interferences. The design methodology of magnetic sensing circuit with ring-core fluxgate sensor is represented. The performance results of the sensing circuits are discussed with error analysis by polynomial regressions. As test results, the sensing circuit filtered only the second harmonic signal that is proportional to the direction of earth's magnetic field, and it leads to the obtainment of bearing information. In addition, the total residual errors of DMC can be analyzed by the adoption of polynomial regressions. It shown that the possibility of high precise DMC, in the future.

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펴지추론과 다항식에 기초한 활성노드를 가진 자기구성네트윅크 (Self-organizing Networks with Activation Nodes Based on Fuzzy Inference and Polynomial Function)

  • 김동원;오성권
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.15-15
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    • 2000
  • In the past couple of years, there has been increasing interest in the fusion of neural networks and fuzzy logic. Most of the existing fused models have been proposed to implement different types of fuzzy reasoning mechanisms and inevitably they suffer from the dimensionality problem when dealing with complex real-world problem. To overcome the problem, we propose the self-organizing networks with activation nodes based on fuzzy inference and polynomial function. The proposed model consists of two parts, one is fuzzy nodes which each node is operated as a small fuzzy system with fuzzy implication rules, and its fuzzy system operates with Gaussian or triangular MF in Premise part and constant or regression polynomials in consequence part. the other is polynomial nodes which several types of high-order polynomials such as linear, quadratic, and cubic form are used and are connected as various kinds of multi-variable inputs. To demonstrate the effectiveness of the proposed method, time series data for gas furnace process has been applied.

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퍼지 하이브리드 다층 퍼셉트론구조의 최적설계 (Optimal Design of Fuzzy Hybrid Multilayer Perceptron Structure)

  • 김동원;박병준;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2977-2979
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    • 2000
  • A Fuzzy Hybrid-Multilayer Perceptron (FH-MLP) Structure is proposed in this paper. proposed FH-MLP is not a fixed architecture. that is to say. the number of layers and the number of nodes in each layer of FH-MLP can be generated to adapt to the changing environment. FH-MLP consists of two parts. one is fuzzy nodes which each node is operated as a small fuzzy system with fuzzy implication rules. and its fuzzy system operates with Gaussian or Triangular membership functions in premise part and constants or regression polynomial equation in consequence part. the other is polynomial nodes which several types of high-order polynomial such as linear. quadratic. and cubic form are used and is connected as various kinds of multi-variable inputs. To demonstrate the effectiveness of the proposed method. time series data for gas furnace process has been applied.

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