• 제목/요약/키워드: error matrix

검색결과 1,055건 처리시간 0.023초

A Note on Disturbance Variance Estimator in Panel Data with Equicorrelated Error Components

  • Seuck Heun Song
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.129-134
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    • 1995
  • The ordinary least square estimator of the disturbance variance in the pooled cross-sectional and time series regression model is shown to be asymptotically unbiased without any restrictions on the regressor matrix when the disturbances follow an equicorrelated error component models.

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Minimum Mean Squared Error Invariant Designs for Polynomial Approximation

  • Joong-Yang Park
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.376-386
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    • 1995
  • Designs for polynomial approximation to the unknown response function are considered. Optimality criteria are monotone functions of the mean squared error matrix of the least squares estimator. They correspond to the classical A-, D-, G- and Q-optimalities. Optimal first order designs are chosen from the invariant designs and then compared with optimal second order designs.

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The Effect of First Observation in Panel Regression Model with Serially Correlated Error Components

  • Song, Seuck-Heun
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.667-676
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    • 1999
  • We investigate the effects of omission of initial observations in each individuals in the panel data regression model when the disturbances follow a serially correlated one way error components. We show that the first transformed observation can have a relative large hat matrix diagonal component and a large influence on parameter estimates when the correlation coefficient is large in absolute value.

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Exploration of temperature effect on videogrammetric technique for displacement monitoring

  • Zhou, Hua-Fei;Lu, Lin-Jun;Li, Zhao-Yi;Ni, Yi-Qing
    • Smart Structures and Systems
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    • 제25권2호
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    • pp.135-153
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    • 2020
  • There has been a sustained interest towards the non-contact structural displacement measurement by means of videogrammetric technique. On the way forward, one of the major concerns is the spurious image drift induced by temperature variation. This study therefore carries out an investigation into the temperature effect of videogrammetric technique, focusing on the exploration of the mechanism behind the temperature effect and the elimination of the temperature-caused measurement error. 2D videogrammetric measurement tests under monotonic or cyclic temperature variation are first performed. Features of measurement error and the casual relationship between temperature variation and measurement error are then studied. The variation of the temperature of digital camera is identified as the main cause of measurement error. An excellent linear relationship between them is revealed. After that, camera parameters are extracted from the mapping between world coordinates and pixels coordinates of the calibration targets. The coordinates of principle point and focal lengths show variations well correlated with temperature variation. The measurement error is thought to be an outcome mainly attributed to the variation of the coordinates of principle point. An approach for eliminating temperature-caused measurement error is finally proposed. Correlation models between camera parameters and temperature are formulated. Thereby, camera parameters under different temperature conditions can be predicted and the camera projective matrix can be updated accordingly. By reconstructing the world coordinates with the updated camera projective matrix, the temperature-caused measurement error is eliminated. A satisfactory performance has been achieved by the proposed approach in eliminating the temperature-caused measurement error.

Unified Parametric Approaches for Observer Design in Matrix Second-order Linear Systems

  • Wu Yun-Li;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • 제3권2호
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    • pp.159-165
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    • 2005
  • This paper designs observers for matrix second-order linear systems on the basis of generalized eigenstructure assignment via unified parametric approach. It is shown that the problem is closely related with a type of so-called generalized matrix second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass system is utilized to show the effect of the proposed approaches.

An accelerated Levenberg-Marquardt algorithm for feedforward network

  • Kwak, Young-Tae
    • Journal of the Korean Data and Information Science Society
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    • 제23권5호
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    • pp.1027-1035
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    • 2012
  • This paper proposes a new Levenberg-Marquardt algorithm that is accelerated by adjusting a Jacobian matrix and a quasi-Hessian matrix. The proposed method partitions the Jacobian matrix into block matrices and employs the inverse of a partitioned matrix to find the inverse of the quasi-Hessian matrix. Our method can avoid expensive operations and save memory in calculating the inverse of the quasi-Hessian matrix. It can shorten the training time for fast convergence. In our results tested in a large application, we were able to save about 20% of the training time than other algorithms.

EFFICIENT LATTICE REDUCTION UPDATING AND DOWNDATING METHODS AND ANALYSIS

  • PARK, JAEHYUN;PARK, YUNJU
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.171-188
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    • 2015
  • In this paper, the efficient column-wise/row-wise lattice reduction (LR) updating and downdating methods are developed and their complexities are analyzed. The well-known LLL algorithm, developed by Lenstra, Lenstra, and Lov${\acute{a}}$sz, is considered as a LR method. When the column or the row is appended/deleted in the given lattice basis matrix H, the proposed updating and downdating methods modify the preconditioning matrix that is primarily computed for the LR with H and provide the initial parameters to reduce the updated lattice basis matrix efficiently. Since the modified preconditioning matrix keeps the information of the original reduced lattice bases, the redundant computational complexities can be eliminated when reducing the lattice by using the proposed methods. In addition, the rounding error analysis of the proposed methods is studied. The numerical results demonstrate that the proposed methods drastically reduce the computational load without any performance loss in terms of the condition number of the reduced lattice basis matrix.

스펙트럴 전달행렬에 의한 헬리컬 기어계의 진동해석 (Vibration Analysis of the Helical Gear System by Spectral Transfer Matrix)

  • 박찬일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.774-781
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    • 2006
  • This paper presents a study on the analytical prediction of vibration transmission from helical gears to the bearing. The proposed method is based on the application of the three dimensional helical gear behaviors and complete description of shaft by the spectral method. Helical gear system used in this paper consists of the driving element, helical gears, shafts, bearings, couplings and load element. In order to describe all translation and rotation motion of helical gears twelve degree of freedom equations of motion by the transmission error excitation are derived. Using these equations, transfer matrix for the helical gear is derived. For the detail behavior of shaft motion, the $12{\times}12$ transfer matrix for the shaft is derived. Transfer matrix for the bearing, coupling, driving element, and load is also derived. Application of the boundary conditions in the assembled transfer matrix produces the forces and displacements in each element of the helical gear system. The effect of the proposed method is shown by numerical example.

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DDR4/GDDR5에서 고속동작을 위한 matrix형 CRC 및 XOR/XNOR (Matrix type CRC and XOR/XNOR for high-speed operation in DDR4 and GDDR5)

  • 이중호
    • 전자공학회논문지
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    • 제50권8호
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    • pp.136-142
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    • 2013
  • DDR4와 같은 고속동작을 위한 메모리 제품에서, 데이타의 신뢰도 증가를 위해 CRC 기능이 추가되었다. 기존의 CRC 방식은 많은 부가회로 면적과 지연시간이 요구되기 때문에 고속동작의 메모리 제품에서 CRC 계산을 위한 내부 타이밍 마진의 부족현상이 증가한다. 따라서 본 논문에서는 이러한 문제를 해결할 수 있도록 matrix형 CRC 방법을 제시하고 CRC 계산을 빠르게 할 수 있는 XOR/XNOR 게이트를 제시하였다. matrix형 CRC는 모든 홀수 비트오류를 검출 가능하며, 4의 배수비트 오류를 제외한 짝수비트오류도 검출가능하다. 또한 단일오류(single error)에 대해서는 오류 정정이 가능하여 메모리 제품과 시스템간의 CRC 오류로 인한 데이터 재 전송의 부하를 감소시킬 수 있다. 또한 기존 방식대비 부가회로면적을 57% 개선할 수 있다. 제안한 XOR/XNOR는 6개의 TR.(트랜지스터)로 구성하였으며, 기존의 CRC 대비 35%의 면적 오버헤드를 감소시킬 수 있으며, 50%의 게이트 지연을 감소시킬 수 있다.