• 제목/요약/키워드: Weighted Least Square

검색결과 172건 처리시간 0.028초

최적화기법을 이용한 고속 탄성회전체의 밸런싱 (An Optimal Correction Balancing of A High-Speed Flexible Rotor)

  • 이용복;이동수;최동훈
    • 대한기계학회논문집
    • /
    • 제19권6호
    • /
    • pp.1402-1410
    • /
    • 1995
  • An influence coefficient method with an optimal correction balancing algorithm is developed for balancing a high-speed flexible rotor system. Conventional flexible balancing algorithms such as least square and weighted least square algorithms may not satisfy allowable residual vibration levels in certain speed ranges, while the optimal correction balancing method can be more effective in controlling vibration levels in a target speed. Related analyses were reviewed and applied to a test rig to show the effectiveness of the optimal correction balancing method.

희소어레이의 최적화를 위한 계수 최소 자승 방법 (A Weighted Least Square Method for Optimization of Thinned Sensor Arrays)

  • 장병건
    • 한국음향학회지
    • /
    • 제18권4호
    • /
    • pp.78-83
    • /
    • 1999
  • 이 논문은 희소어레이의 최적패턴 형성을 위하여 원하는 패턴과 실제 희소어레이의 패턴간의 오차의 자승치를 최소화하는 방법을 제시한다. 센서의 간격이 어레이 중심에 관하여 대칭인 경우와 비대칭인 경우에 대하여 성능을 점검하며, 어레이 공간의 주어진 영역의 오차함수에 성능 향상을 위하여 계수를 적용한다. 주빔 부근의 측면롭의 효과적인 제어를 위하여 지수 함수적인 계수를 제안하였으며 그 결과 측면롭의 수준이 전체적으로 균등하게 분포되는 패턴을 얻을 수 있었다. 이 결과는 입력잡음신호가 어레이 공간상에 균등하게 입사될 때 효과적으로 사용될 수 있다.

  • PDF

Further Results on Piecewise Constant Hazard Functions in Aalen's Additive Risk Model

  • Uhm, Dai-Ho;Jun, Sung-Hae
    • 응용통계연구
    • /
    • 제25권3호
    • /
    • pp.403-413
    • /
    • 2012
  • The modifications suggested in Uhm et al. (2011) are studied using a partly parametric version of Aalen's additive risk model. A follow-up time period is partitioned into intervals, and hazard functions are estimated as a piecewise constant in each interval. A maximum likelihood estimator by iteratively reweighted least squares and variance estimates are suggested based on the model as well as evaluated by simulations using mean square error and a coverage probability, respectively. In conclusion the modifications are needed when there are a small number of uncensored deaths in an interval to estimate the piecewise constant hazard function.

지속여기 조건이 없는 강인한 자조 안정기 (Robust Self-Tuning Regulator without Persistent Excitation)

  • 김영철;이철희;양흥석
    • 대한전기학회논문지
    • /
    • 제39권11호
    • /
    • pp.1207-1218
    • /
    • 1990
  • The lack of persistent excitation (PE) can be the reason of freezing in the recursive least square estimators and the covariance windup in the exponential weighted least square estimators. We present a theoretical analysis of these phenomena and a simple method to check the exciting condition in real time. Using these results and under some conditions such as slowly time varying Plant and a tracking problem for set point, a robust self-tuning regulators without PE is proposed. In this algorithm, when PE is not satisfied, only plant gain is estimated, and then the system parameters are corrected by it. It is shown that the gain adaptive scheme makes the robustness to be improved against modeling error, off-set, and correlated noise etc, by the results of analysis and simulations.

A mesh-free analysis method of structural elements of engineering structures based on B-spline wavelet basis function

  • Chen, Jianping;Tang, Wenyong;Huang, Pengju;Xu, Li
    • Structural Engineering and Mechanics
    • /
    • 제57권2호
    • /
    • pp.281-294
    • /
    • 2016
  • The paper is devoted to study a mesh-free analysis method of structural elements of engineering structures based on B-spline Wavelet Basis Function. First, by employing the moving-least square method and the weighted residual method to solve the structural displacement field, the control equations and the stiffness equations are obtained. And then constructs the displacement field of the structure by using the m-order B-spline wavelet basis function as a weight function. In the end, the paper selects the plane beam structure and the structure with opening hole to carry out numerical analysis of deformation and stress. The Finite Element Method calculation results are compared with the results of the method proposed, and the calculation results of the relative error norm is compared with Gauss weight function as weight function. Therefore, the clarification verified the validity and accuracy of the proposed method.

Target segmentation in non-homogeneous infrared images using a PCA plane and an adaptive Gaussian kernel

  • Kim, Yong Min;Park, Ki Tae;Moon, Young Shik
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제9권6호
    • /
    • pp.2302-2316
    • /
    • 2015
  • We propose an efficient method of extracting targets within a region of interest in non-homogeneous infrared images by using a principal component analysis (PCA) plane and adaptive Gaussian kernel. Existing approaches for extracting targets have been limited to using only the intensity values of the pixels in a target region. However, it is difficult to extract the target regions effectively because the intensity values of the target region are mixed with the background intensity values. To overcome this problem, we propose a novel PCA based approach consisting of three steps. In the first step, we apply a PCA technique minimizing the total least-square errors of an IR image. In the second step, we generate a binary image that consists of pixels with higher values than the plane, and then calculate the second derivative of the sum of the square errors (SDSSE). In the final step, an iteration is performed until the convergence criteria is met, including the SDSSE, angle and labeling value. Therefore, a Gaussian kernel is weighted in addition to the PCA plane with the non-removed data from the previous step. Experimental results show that the proposed method achieves better segmentation performance than the existing method.

KRUGLYAK과 LANDER의 유전연관성 비모수 방법과 반복 자료를 고려한 가중 회귀분석법의 비교 (Comparisons of Kruglyak and Lander's Nonparametric Linkage Test and Weighted Regression Incorporating Replications)

  • 최은경;송혜향
    • 응용통계연구
    • /
    • 제21권1호
    • /
    • pp.1-17
    • /
    • 2008
  • 형제 쌍(sibpair)의 연속형 형질(continuous traits) 자료를 이용한 유전연관성 검정 법(linkage test)으로서 Haseman과 Elston (1972)의 최소제곱(ordinary least square, OLS) 회귀분석법이 주로 사용된다. 비모수적 방법으로서 제시된 Kruglyak과 Lander (1995)의 검정통계량은 Haseman과 Elston (1972)의 방법에 대응되는 방법처럼 보이지만 실제로는 매우 다르다. 본 논문에서는 Kruglyak와 Lander (1995)의 검정통계량과 Haseman과 Elston (1972)의 검정통계량의 관계를 설명하고 모의실험으로 두 검정통계량의 검정력을 비교한다. 유전연관성에 사용되는 형제 자료의 특징은 한정된 설명변수의 값에 매우 많은 자료가 반복(replicated)되었다는 점이며, 이러한 반복 자료에 더욱 적절한 가중 회귀분석법을 제안한다. 가중 회귀분석법의 효율성을 정규분포 또는 정규분포가 아닌 연속형 형질 모의실험 자료로 알아본 결과 형제 쌍 자료의 유전연관성 검정에서 가중 회귀분석법이 다른 검정법들보다도 검정력이 높음을 확인하였다.

Estimation on a two-parameter Rayleigh distribution under the progressive Type-II censoring scheme: comparative study

  • Seo, Jung-In;Seo, Byeong-Gyu;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
    • /
    • 제26권2호
    • /
    • pp.91-102
    • /
    • 2019
  • In this paper, we propose a new estimation method based on a weighted linear regression framework to obtain some estimators for unknown parameters in a two-parameter Rayleigh distribution under a progressive Type-II censoring scheme. We also provide unbiased estimators of the location parameter and scale parameter which have a nuisance parameter, and an estimator based on a pivotal quantity which does not depend on the other parameter. The proposed weighted least square estimator (WLSE) of the location parameter is not dependent on the scale parameter. In addition, the WLSE of the scale parameter is not dependent on the location parameter. The results are compared with the maximum likelihood method and pivot-based estimation method. The assessments and comparisons are done using Monte Carlo simulations and real data analysis. The simulation results show that the estimators ${\hat{\mu}}_u({\hat{\theta}}_p)$ and ${\hat{\theta}}_p({\hat{\mu}}_u)$ are superior to the other estimators in terms of the mean squared error (MSE) and bias.

Multiobjective Space Search Optimization and Information Granulation in the Design of Fuzzy Radial Basis Function Neural Networks

  • Huang, Wei;Oh, Sung-Kwun;Zhang, Honghao
    • Journal of Electrical Engineering and Technology
    • /
    • 제7권4호
    • /
    • pp.636-645
    • /
    • 2012
  • This study introduces an information granular-based fuzzy radial basis function neural networks (FRBFNN) based on multiobjective optimization and weighted least square (WLS). An improved multiobjective space search algorithm (IMSSA) is proposed to optimize the FRBFNN. In the design of FRBFNN, the premise part of the rules is constructed with the aid of Fuzzy C-Means (FCM) clustering while the consequent part of the fuzzy rules is developed by using four types of polynomials, namely constant, linear, quadratic, and modified quadratic. Information granulation realized with C-Means clustering helps determine the initial values of the apex parameters of the membership function of the fuzzy neural network. To enhance the flexibility of neural network, we use the WLS learning to estimate the coefficients of the polynomials. In comparison with ordinary least square commonly used in the design of fuzzy radial basis function neural networks, WLS could come with a different type of the local model in each rule when dealing with the FRBFNN. Since the performance of the FRBFNN model is directly affected by some parameters such as e.g., the fuzzification coefficient used in the FCM, the number of rules and the orders of the polynomials present in the consequent parts of the rules, we carry out both structural as well as parametric optimization of the network. The proposed IMSSA that aims at the simultaneous minimization of complexity and the maximization of accuracy is exploited here to optimize the parameters of the model. Experimental results illustrate that the proposed neural network leads to better performance in comparison with some existing neurofuzzy models encountered in the literature.

제한된 최소 자승 오차 기준에 의한 다양한 FIR 필터 구현 (Implementation of Various FIR Filters using Constrained Least Square Criterion)

  • 홍승억;김중규
    • 전자공학회논문지S
    • /
    • 제35S권10호
    • /
    • pp.175-185
    • /
    • 1998
  • 본 논문에서는 Adams에 의해 제안된 제한된 최소 자승 오차 기준에 의한 FIR 필터 설계 방법을 기초로 하여 저역 통과 필터 외의 다른 여러 가지 필터를 설계할 수 있는 방법론을 제시하였다. 이 방법에 의한 설계는 기존의 자승 오차 최소화 방법과 최대 오차 최소화 방법의 혼합된 형태로써 오차 기준으로 자승 오차와 최대 오차 두 가지를 동시에 고려하게 되며, 최고 이득, 전이 대역폭, 자승 오차 세가지가 모두 만족될 때만 그 해 즉, 임펄스 응답을 찾을 수 있게 된다. 이때 최적화 과정에서는 다중 교환 알고리즘을 이용하였다. 본 논문은 위의 두 중요 오차 기준의 상호 보완을 통하여 다중 대역 통과 필터, 미분기 및 Hilbert 변환기등의 최적 설계에 적용할 수 있는 방법에 대해 고찰하였으며, 그 결과 제한된 최소 자승 오차 기준에 의한 설계 방법이 단순한 저역 통과 필터 뿐만이 아니라 여러 가지 다양한 FIR 필터 설계에 있어서도 그 우수함을 증명할 수 있었다.

  • PDF