• Title/Summary/Keyword: Matrix Vector

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Impact of Structural Shock and Estimation of Dynamic Response between Variables (구조적 충격의 영향과 동적 반응의 추정)

  • Cho, Eun-Jung;Kim, Tae-Ho
    • The Korean Journal of Applied Statistics
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    • v.24 no.5
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    • pp.799-807
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    • 2011
  • This study investigates long and short run responses of variables to exogenous shocks by imposing prior restrictions on a contemporaneous structural shock coefficient matrix of the model to identify shocks by endogenous variables in the vector autoregression. The relative importance of each structural shock in variation of each variable is calculated through the identification of proper restrictions (not based on any specific theory but on researcher judgment corresponding to actual situations) and an estimation of the structural vector autoregression. The results of the analyses are found to maintain consistency.

Novel Calibration Method for the Multi-Camera Measurement System

  • Wang, Xinlei
    • Journal of the Optical Society of Korea
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    • v.18 no.6
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    • pp.746-752
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    • 2014
  • In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera mefasurement system as the feature of parallels exists widely.

Study of two dimensional visco-elastic problems in generalized thermoelastic medium with heat source

  • Baksi, Arup;Roy, Bidyut Kumar;Bera, Rasajit Kumar
    • Structural Engineering and Mechanics
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    • v.29 no.6
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    • pp.673-687
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    • 2008
  • In this paper, a thermo-viscoelastic problem in an infinite isotropic medium in two dimensions in the presence of a point heat source is considered. The fundamental equations of the problems of generalized thermoelasticity including heat sources in a thermo-viscoelastic media have been derived in the form of a vector matrix differential equation in the Laplace-Fourier transform domain for a two dimensional problem. These equations have been solved by the eigenvalue approach. The results have been compared to those available in the existing literature. The graphs have been drawn for different cases.

Hierarchical State Feedback Control of Large-Scale Discrete-Time Systems with Time-Delays (시간지연이 있는 대규모 이산시간 시스템의 계층적 상태궤환제어)

  • 김경연;전기준
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.8
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    • pp.1161-1166
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    • 1989
  • In this paper, a hierarchical state feedback control method is proposed for the optimal tracking of large-scale discrete-time systems with time-delays. The state feedback gain matrix and the compensation vector are computed from the optimal trajectories of the state variables and control inputs obtained hierarchically by the open-loop control method based on the interaction prediction method. The resulting feedback gain matrix and the compensation vector are optimal for the given initial condition. Computer simulation results show that the proposed method has better control performance and fewer second level iterations than the Tamura method.

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Eigenvalue problem petaining to the rigorous three-dimensional vector coupled-wave analysis of diffraction from surface-relief gratings (표면양각회절격자에 대한 엄밀한 3차원벡터 결합파해석의 고유값문제)

  • 조두진
    • Korean Journal of Optics and Photonics
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    • v.5 no.4
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    • pp.439-444
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    • 1994
  • When diffraction by arbitrary two-dimensional surface-relief dielectric gratings is analyzed using the rigorous three-dimensional vector coupled-wave analysis, it is found that the matrix eigenvalue problem pertaining to the analysis can always be simplified to that for a matrix which has the dimension of a quarter of the original, so that computing time and memory requirements for computer may be greatly reduced. However this kind of simplification can not be obtained in the case of volume diffraction gratings. tings.

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Hierarchical Optimal Control of Non-linear Systems using Fast Walsh Transform (FWT를 이용한 비선형계의 계층별 최적제어)

  • Jeong, Je-Uk;Jo, Yeong-Ho;Im, Guk-Hyeon;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.8
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    • pp.415-422
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    • 2000
  • This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods.

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Multiclass LS-SVM ensemble for large data

  • Hwang, Hyungtae
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1557-1563
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    • 2015
  • Multiclass classification is typically performed using the voting scheme method based on combining binary classifications. In this paper we propose multiclass classification method for large data, which can be regarded as the revised one-vs-all method. The multiclass classification is performed by using the hat matrix of least squares support vector machine (LS-SVM) ensemble, which is obtained by aggregating individual LS-SVM trained on each subset of whole large data. The cross validation function is defined to select the optimal values of hyperparameters which affect the performance of multiclass LS-SVM proposed. We obtain the generalized cross validation function to reduce computational burden of cross validation function. Experimental results are then presented which indicate the performance of the proposed method.

A New Method for Generating Structural Configurations of Modular-Reconfigurable Machine Tool (모듈러 RMT의 구조형태 생성을 위한 새로운 방법)

  • Choi Y. H.;Park H. M.;Jang S. H.;Choi E. Y.;Kim I. S.;Park J. K.
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.435-440
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    • 2005
  • This study describes a new method of constructing Reconfigurable machine tools configurations from a set of modules or components. This proposed method defines combinability vector for each module and mutual combinability coefficient matrix for adjacent two modules. All of machine configurations possible to be generated from any two adjacent modules can be determined by quadratic form of two associated combinability vectors. Furthermore, all of possible RMT configurations generating from a series of multiple modules also can be obtained by multiplying quadratic form of two adjacent conbinability vectors recursively. Our proposed RMT configuration generating method can be successfully applied to determining all of possible machine configurations from several modules or components at conceptual- or preliminary- design stage.

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Paragraph Retrieval Model for Machine Reading Comprehension using IN-OUT Vector of Word2Vec (Word2Vec의 IN-OUT Vector를 이용한 기계독해용 단락 검색 모델)

  • Kim, Sihyung;Park, Seongsik;Kim, Harksoo
    • Annual Conference on Human and Language Technology
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    • 2019.10a
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    • pp.326-329
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    • 2019
  • 기계독해를 실용화하기 위해 단락을 검색하는 검색 모델은 최근 기계독해 모델이 우수한 성능을 보임에 따라 그 필요성이 더 부각되고 있다. 그러나 기존 검색 모델은 질의와 단락의 어휘 일치도나 유사도만을 계산하므로, 기계독해에 필요한 질의 어휘의 문맥에 해당하는 단락 검색을 하지 못하는 문제가 있다. 본 논문에서는 이러한 문제를 해결하기 위해 Word2vec의 입력 단어열의 벡터에 해당하는 IN Weight Matrix와 출력 단어열의 벡터에 해당하는 OUT Weight Matrix를 사용한 단락 검색 모델을 제안한다. 제안 방법은 기존 검색 모델에 비해 정확도를 측정하는 Precision@k에서 좋은 성능을 보였다.

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Properties of alternative VaR for multivariate normal distributions (다변량 정규분포에서 대안적인 VaR의 특성)

  • Hong, Chong Sun;Lee, Gi Pum
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1453-1463
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    • 2016
  • The most useful financial risk measure may be VaR (Value at Risk) which estimates the maximum loss amount statistically. The VaR tends to be estimated in many industries by using transformed univariate risk including variance-covariance matrix and a specific portfolio. Hong et al. (2016) are defined the Vector at Risk based on the multivariate quantile vector. When a specific portfolio is given, one point among Vector at Risk is founded as the best VaR which is called as an alternative VaR (AVaR). In this work, AVaRs have been investigated for multivariate normal distributions with many kinds of variance-covariance matrix and various portfolio weight vectors, and compared with VaRs. It has been found that the AVaR has smaller values than VaR. Some properties of AVaR are derived and discussed with these characteristics.