• 제목/요약/키워드: Auxiliary Variables

검색결과 97건 처리시간 0.029초

바나하 공간에서의 완전 수렴성 (Complete Convergence in a Banach Space)

  • 성수학
    • 자연과학논문집
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    • 제9권1호
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    • pp.57-60
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    • 1997
  • {$X_{ni}$,1$\leq$i$\leq$,n$\geq$1}은 2p차 적률을 갖는 적당한 확률변수 X에 의해서 유계된 바나하 공간상의 값을 갖는 확률변수 열이다. 상수 열 {$a_{ni}$,1$\leq$i$\leq$,n$\geq$1}에 적당한 조건을 부여할 때 $sum_{i=1}^n a_{ni}X_{ni}$가 0에 확률적으로 수렴할 조건과 완전수렴할 조건은 서로 동치이다.

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Dynamic responses of a beam with breathing cracks by precise integration method

  • Cui, C.C.;He, X.S.;Lu, Z.R.;Chen, Y.M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • 제60권5호
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    • pp.891-902
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    • 2016
  • The beam structure with breathing cracks subjected to harmonic excitations was modeled by FEM based on Euler-Bernoulli theory, and a piecewise dynamical system was deduced. The precise integration method (PIM) was employed to propose an algorithm for analyzing the dynamic responses of the deduced system. This system was first divided into linear sub-systems, between which there are switching points resulted from the breathing cracks. The inhomogeneous terms due to the external excitations were tackled by introducing auxiliary variables to express the harmonic functions, hence the sub-systems are homogeneous. The PIM was then applied to solve the homogeneous sub-systems one by one. During the procedures, a predictor-corrector algorithm was presented to determine the switching points accurately. The presented method can provide solutions with an accuracy to a magnitude of $10^{-12}$ compared with exact solutions obtained by the theories of ordinary differential equations. The PIM results are much more accurate than Newmark ones with the same time step. Moreover, it is found that the PIM can maintain a high level of accuracy even when the time step increases within a relatively wide range.

Unrelated Question Model in Sensitive Multi-Character Surveys

  • Sidhu, Sukhjinder Singh;Bansal, Mohan Lal;Kim, Jong-Min;Singh, Sarjinder
    • Communications for Statistical Applications and Methods
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    • 제16권1호
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    • pp.169-183
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    • 2009
  • The simplicity and wide application of Greenberg et al. (1971) prompts to propose a set of alternative estimators of population total for multi-character surveys that elicit simultaneous information on many. sensitive study variables. The proposed estimators take into account the already known rough value of the correlation coefficient between Y(the characteristic under study) and p(the measure of size). These estimators are biased, but it is expected that the extent of bias will be smaller, since the proposed estimators are suitable for situations in between those optimum for the usual estimators and the estimators based on multi-characters for no correlation. The relative efficiency of the proposed estimators has been studied under a super population model through empirical study. It has been found through simulation study that a choice of an unrelated variable in the Greenberg et al. (1971) model could be made based on its correlation with the auxiliary variable used at estimation stage in multi-character surveys.

경지면적조사에서 분리비추정량의 조정 (Adjustments of the Separate Ratio Estimator in the Survey of Cultivated Land Area)

  • 김규성
    • 한국조사연구학회지:조사연구
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    • 제9권2호
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    • pp.151-166
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    • 2008
  • 이 논문은 경지면적조사에서 분리비추정량을 활용하는 방법을 다루고 있다. 경지면적조사는 해마다 실시되는 일종의 계속조사로서 각 시.도에서 선정된 층화표본으로부터 분리비추정량을 이용하여 경지면적을 추정하고 있다. 분리비추정법을 계속조사인 경지면적조사에 적용하려 할 때 현실적으로 직면하는 문제로는, (i) 해가 지나면서 모집단 조사구수가 바뀌는 문제, (ii) 일부 층에서 보조변수가 0의 값을 취하는 문제, 그리고 (iii) 표본재설계로 인하여 층화 기준이 바뀌는 문제 등을 들 수 있다. 이 논문에서는 경지면적조사에서 발생하는 이와 같은 현실적인 문제들을 고찰한 후, 경지면적조사에 적용 가능한 조정된 분리비추정량을 제시하였다.

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위상 변경 고유치 재해석 기법을 이용한 최적 구조물 동특성 변경 (Optimal Structural Dynamics Modification Using Eigen Reanalysis Technique of Technique of Topological Modifications)

  • 이준호;박영진;박윤식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.77-81
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    • 2003
  • SDM (Structural Dynamics Modification) is a tool to improve dynamic characteristics of a structure, more specifically of a base structure, by adding or deleting auxiliary (modifying) structures. In this paper, the goal of the optimal SDM is set to maximize the natural frequency of a base plate structure by attaching serially-connected beam stiffeners. The design variables are chosen as positions of the attaching beam stiffeners, where the number of stiffeners is considered as a design space. The problem of non-matching interface nodes between the base plate and beam stiffeners is solved by using localized Lagrange multipliers, which act to glue the two structures with non-matching interface nodes. As fer the cases of non-matching interface nodes problem, the governing equation of motion of a structure can be considered from the viewpoint of a topological modification, which involves the change of the number of structural members and DOFs. Consequently, the eigenpairs of the beam-stiffened plate structure are obtained by using an eigen reanalysis technique of topological modifications. Evolution Strategies (ES), which is a probabilistic population-based optimization technique that mimics the principles from biological evolution in nature, is utilized as a mean for the optimization.

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Speed and Flux Estimation for an Induction Motor Using a Parameter Estimation Technique

  • Lee Gil-Su;Lee Dong-Hyun;Yoon Tae-Woong;Lee Kyo-Beum;Song Joong-Ho;Choy Ick
    • International Journal of Control, Automation, and Systems
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    • 제3권1호
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    • pp.79-86
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    • 2005
  • In this paper, an estimator scheme for the rotor speed and flux of an induction motor is proposed on the basis of a fourth-order electrical model. It is assumed that only the stator currents and voltages are measurable, and that the stator currents are bounded. There are a number of common terms in the motor dynamics, and this is utilized to find a simple error model involving some auxiliary variables. Using this error model, the state estimation problem is converted into a parameter estimation problem assuming that the rotor speed is constant. Some stability properties are given on the basis of Lyapunov analysis. In addition, the rotor resistance, which varies with the motor temperature, can also be estimated within the same framework. The effectiveness of the proposed scheme is demonstrated through computer simulations and experiments.

Bearing Strength of Hybrid Coupled Shear Wall Connections

  • Park Wan-Shin;Yun Hyun-Do
    • 콘크리트학회논문집
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    • 제17권6호
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    • pp.1065-1074
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    • 2005
  • Due to lack of information, current design methods to calculate bearing strength of connections are tacit about cases in which hybrid coupled walls have connection details of stud bolts and horizontal ties. In this study, analytical study was carried out to develop model for calculating the connections strength of embedded steel section. The bearing stress at failure in the concrete below the embedded steel coupling beam section is related to the concrete compressive strength and the ratio of the width of the embedded steel coupling beam section to the thickness of the shear walls. Experiments were carried out to determine the factors influencing the bearing strength of the connection between steel coupling beam and reinforced concrete shear wall. The test variables included the reinforcement details that confer a ductile behavior in connection between steel coupling beam and shear wall, i. e., the auxiliary stud bolts attached to the steel beam flanges and the transverse ties at the top and the bottom steel beam flanges. In addition, additional test were conducted to verify the strength equations of the connection between steel coupling beam and reinforced concrete shear wall. The results of the proposed equations in this study are in good agreement with both our test results and other test data from the literature.

시스템 상태 및 입력 외란을 고려한 하이브리드 방식의 적응형 피드포워드 제어시스템 (Hybrid Adaptive Feedforward Control System Against State and Input Disturbances)

  • 김준수;조현철;김관형;하홍곤;이형기
    • 제어로봇시스템학회논문지
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    • 제18권3호
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    • pp.237-242
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    • 2012
  • AFC (Adaptive Feedforward Control) is significantly employed for improving control performance of dynamic systems particularly involving periodic disturbance signals in engineering fields. This paper presents a novel hybrid AFC approach for discrete-time systems with multiple disturbances in terms of control input and state variables. The proposed AFC mechanism is hierarchically composed of a conventional feedforward control framework and PID auxiliary control configuration in parallel. The former is generic to decrease periodic disturbance excited to control actuators and the latter is additionally constructed to overcome control deterioration due to time-varying uncertainty under given systems. We carry out numerical simulation to test reliability of our proposed hybrid AFC system and compare its control performance to a well-known conventional AFC method with respect to time and frequency domains for proving of its superiority.

Time-domain analyses of the layered soil by the modified scaled boundary finite element method

  • Lu, Shan;Liu, Jun;Lin, Gao;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제55권5호
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    • pp.1055-1086
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    • 2015
  • The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.

Higher-Order Conditional Random Field established with CNNs for Video Object Segmentation

  • Hao, Chuanyan;Wang, Yuqi;Jiang, Bo;Liu, Sijiang;Yang, Zhi-Xin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제15권9호
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    • pp.3204-3220
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    • 2021
  • We perform the task of video object segmentation by incorporating a conditional random field (CRF) and convolutional neural networks (CNNs). Most methods employ a CRF to refine a coarse output from fully convolutional networks. Others treat the inference process of the CRF as a recurrent neural network and then combine CNNs and the CRF into an end-to-end model for video object segmentation. In contrast to these methods, we propose a novel higher-order CRF model to solve the problem of video object segmentation. Specifically, we use CNNs to establish a higher-order dependence among pixels, and this dependence can provide critical global information for a segmentation model to enhance the global consistency of segmentation. In general, the optimization of the higher-order energy is extremely difficult. To make the problem tractable, we decompose the higher-order energy into two parts by utilizing auxiliary variables and then solve it by using an iterative process. We conduct quantitative and qualitative analyses on multiple datasets, and the proposed method achieves competitive results.