• Title/Summary/Keyword: Sum of Square

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Regularized Zero-Forcing Beam Design under Time-Varying Channels

  • Yu, Heejung;Kim, Taejoon
    • ETRI Journal
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    • v.38 no.3
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    • pp.435-443
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    • 2016
  • In this paper, an efficient beam tracking algorithm for a regularized zero-forcing (RZF) approach in slowly fading multiple-input and single-output (MISO) broadcast channels is considered. By modifying an RZF equation, an RZF beam tracking algorithm is proposed using matrix perturbation theory. The proposed algorithm utilizes both beams from the previous time step and channel difference (between the previous and current time steps) to calculate the RZF beams. The tracking performance of the proposed algorithm is analyzed in terms of the mean square error (MSE) between a tracking approach and an exact recomputing approach, and in terms of the additional MSE caused by the beam tracking error at the receiver. Numerical results show that the proposed algorithm has almost the same performance as the exact recomputing approach in terms of the sum rate.

Extraction of Geometric and Color Features in the Tobacco-leaf by Computer Vision (컴퓨터 시각에 의한 잎담배의 외형 및 색 특징 추출)

  • Cho, H.K.;Song, H.K.
    • Journal of Biosystems Engineering
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    • v.19 no.4
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    • pp.380-396
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    • 1994
  • A personal computer based color machine vision system with video camera and fluorescent lighting system was used to generate images of stationary tobacco leaves. Image processing algorithms were developed to extract both the geometric and the color features of tobacco leaves. Geometric features include area, perimeter, centroid, roundness and complex ratio. Color calibration scheme was developed to convert measured pixel values to the standard color unit using both statistics and artificial neural network algorithm. Improved back propagation algorithm showed less sum of square errors than multiple linear regression. Color features provide not only quality evaluation quantities but the accurate color measurement. Those quality features would be useful in grading tobacco automatically. This system would also be useful in measuring visual features of other agricultural products.

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A Study on the Inverse Radiation Analysis in a Cylindrical Enclosure (원통형상에서의 역복사 해석에 관한 연구)

  • Kim, Ki-Wan;Baek, Seung-Wook;Ryou, Hong-Sun
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1516-1521
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    • 2004
  • An inverse boundary analysis of surface radiation in an axisymmetric cylindrical enclosure has been conducted in this study. Net energy exchange method was used to calculate the radiative heat flux on each surface, and a hybrid genetic algorithm was adopted to minimize an objective function, which is expressed by sum of square errors between estimated and measured heat fluxes on the design surface. We have examined the effects of the measurement error as well as the number of measurement points on the estimation accuracy.

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ADDITIVE MAPPINGS ON OPERATOR ALGEBRAS PRESERVING SQUARE ABSOLUTE VALUES

  • TAGHAVI, A.
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.51-57
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    • 2001
  • Let $\mathcal{B}(H)$ and $\mathcal{B}(K)$ denote the algebras of all bounded linear operators on Hilbert spaces $\mathcal{H}$ and $\mathcal{K}$, respectively. We show that if ${\phi}:\mathcal{B}(H){\rightarrow}\mathcal{B}(K)$ is an additive mapping satisfying ${\phi}({\mid}A{\mid}^2)={\mid}{\phi}(A){\mid}^2$ for every $A{\in}\mathcal{B}(H)$, then there exists a mapping ${\psi}$ defined by ${\psi}(A)={\phi}(I){\phi}(A)$, ${\forall}A{\in}\mathcal{B}(H)$ such that ${\psi}$ is the sum of $two^*$-homomorphisms one of which C-linear and the othere C-antilinear. We will also study some conditions implying the injective and rank-preserving of ${\psi}$.

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An Improved Subpixel Algorithm for Automated Visual Inspection System (자동 시각 검사를 위한 개선된 서브픽셀 알고리즘)

  • Jang, Dong-Sik;Lee, Man-Hee;Kim, Gil-Dong
    • IE interfaces
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    • v.11 no.3
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    • pp.15-22
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    • 1998
  • A new improved algorithm in edge location to subpixel accuracy using decent-based weight to spatial information is proposed in this paper and applied to automated visual inspection(AVI) system. An application of the new edge operator as an edge detector is also provided and compared with Tabatabai and Lyvers edge detectors. The existing algorithms located edger to subpixel accuracy using least-square or moment-based methods. The algorithms also use only spatial information or grey-level values to locate edges. However, the proposed algorithm consider the weighted sum of grey-levels values of each edge pattern. The results show that the proposed algorithm is relatively less biased and has smaller standard deviation than the edge operations developed by Tabatabai and Lyvers in the presence of noise.

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A Study on Hair Care Attitudes, Practices and Spending Among University Students' (남녀 대학생의 헤어관리 인식과 행동 및 지출비용에 관한 연구)

  • Park, Jin-Yeong
    • Journal of Families and Better Life
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    • v.27 no.2
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    • pp.63-75
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    • 2009
  • The purpose of this study was to analyze university students' attitudes toward hair care as well as their hair care practices and spending. The analytical tools include the chi-square test, t-test, one-way ANOVA, Pearson's correlation analysis and multiple regression analysis. The major findings were as follows: (1) The mean of university students' attitudes toward hair care was 18.5(out of a possible 30). (2) The variables that significantly influenced students' attitudes toward hair care were gender, school year and monthly spending money. (3) Hair care practices differed according to demographic variables and attitudes toward hair care. (4) The average monthly expenditure on hair care was 31,769 won. The variable that most influenced monthly hair care expenditures was gender. In sum, this study found that the variable with the largest effect on hair care attitudes, practices and spending was gender.

A Hybrid Genetic Algorithms for Inverse Radiation Analysis (역복사 해석을 위한 혼합형 유전알고리즘에 관한 연구)

  • Kim, Ki-Wan;Baek, Seung-Wook;Kim, Man-Young
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1639-1644
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    • 2003
  • A hybrid genetic algorithm is developed for estimating the wall emissivities for an absorbing, emitting, and scattering media in a two-dimensional irregular geometry with diffusely emitting and reflecting opaque boundaries by minimizing an objective function, which is expressed by the sum of square errors between estimated and measured temperatures at only four data positions. The finite-volume method was employed to solve the radiative transfer equation for a two-dimensional irregular geometry. The results show that a developed hybrid genetic algorithms reduce the effect of genetic parameters on the performance of genetic algorithm and that the wall emissivities are estimated accurately without measurement errors.

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A Covariate-adjusted Logrank Test for Paired Survival Data

  • Jeong, Gyu-Jin
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.533-542
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    • 2002
  • In this paper, a covariate adjusted logrank test is considered for censored paired data under the Cox proportional hazard model. The proposed score test resembles the adjusted logrank test of Tsiatis, Rosner and Tritchler (1985), which is derived from the partial likelihood. The dependence structure for paired data is accommodated into the test statistic by using' sum of square type' variance estimators. Several weight functions are also considered, which produce a class of covariate adjusted weighted logrank tests. Asymptotic normality of the proposed test is established and simulation studies with moderate sample size show the proposed test works well, particularly when there are dependence structure between treatment and covariates.

An approach to improving the James-Stein estimator shrinking towards projection vectors

  • Park, Tae Ryong;Baek, Hoh Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1549-1555
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    • 2014
  • Consider a p-variate normal distribution ($p-q{\geq}3$, q = rank($P_V$) with a projection matrix $P_V$). Using a simple property of noncentral chi square distribution, the generalized Bayes estimators dominating the James-Stein estimator shrinking towards projection vectors under quadratic loss are given based on the methods of Brown, Brewster and Zidek for estimating a normal variance. This result can be extended the cases where covariance matrix is completely unknown or ${\sum}={\sigma}^2I$ for an unknown scalar ${\sigma}^2$.

A Method using Parametric Approach for Constrained Optimization and its Application to a System of Structural Optimization Problems (제약을 갖는 최적화문제에 대한 파라메트릭 접근법과 구조문제의 최적화에 대한 응용)

  • Yang, Y.J.;Kim, W.S.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.15 no.1
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    • pp.73-82
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    • 1990
  • This paper describes two algorithms to Nonlinear programming problems with equality constraints and with equality and inequality constraints. The first method treats nonlinear programming problems with equality constraints. Utilizing the nonlinear programming problems with equality constraints. Utilizing the nonlinear parametric programming technique, the method solves the problem by imbedding it into a suitable one-parameter family of problems. The second method is to solve a nonlinear programming problem with equality and inequality constraints, by minimizing a square sum of nonlinear functions which is derived from the Kuhn-Tucker condition.

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