• Title/Summary/Keyword: pseudo-inverse

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Reduction Method based on Sub-domain Structure using Reduced Pseudo Inverse Method (축소 의사역행렬을 이용한 영역분할 기반 축소모델 구축기법 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.2
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    • pp.173-179
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    • 2009
  • Reduction scheme is remarkably useful in the case requiring the repeated calculation procedure. Recently, the efficiency of the reduction scheme has been improved by combining scheme of sub-domain method. But, when the global domain is partitioned into a few sub-domains, sub-domains without constraints can be produced. it is needed to extract the ritz vector from each sub-domain to construct the reduced system of each sub-domain. it is easy to extract the ritz vector from sub-domain with constraint. on the other hand, pseudo inverse method should be employed to extract the ritz vector from sub-domain without constraint. generally, the pseudo inverse takes a large number of computing time to obtain a reduced system of a sub-domain without boundary condition. This trouble can be overcome by the reduced pseudo inverse scheme which proposed in this study. This scheme is based on the static condensation that is not related with selection of the primary degrees of freedom. Numerical examples demonstrate that present method saves computational cost effectively. In addition, it is shown that the reduced system based on the proposed scheme predicts the accurate eigenvalues of global system.

Research of the Strength of Super Personal Conflicts in Animations using Pseudo Inverse (의사 역행렬을 이용한 애니메이션의 초개인적 갈등(SPC) 강도 관련 다학제적 연구)

  • Kim, Jae Ho;Zhang, Zheng Yang;Wang, Yu Chao;Jang, So Eun;Lee, Tae Rin
    • Korea Science and Art Forum
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    • v.30
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    • pp.41-56
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    • 2017
  • This study is an intensive study on Tae Rin Lee's research results. A linear system for Estimating the Strength of Super Personal Conflict (ESSPC) in animations is proposed. Tae Rin Lee has extracted the Super Personal Conflict (SPC) shots of animations, and obtained the strength through the experts' psychological test experiment. The purpose of this study is to find a model that automatically computes the superpersonal conflict intensity value (ESSPC). By utilizing these results, 1) 20 image feature vectors are suggested for analyzing the SPC, and 2) a linear system is found for auto-calculating ESSPC by using the pseudo inverse matrix. The proposed system shows 9.25% root mean square error and the effectiveness is proven.

A dynamic analysis for constrained multibody systems using pseudo-inverse and projection matrix (준역행렬과 투영행렬을 이용한 구속 다물체계의 동역학 해석)

  • Kim, Oe-Jo;Yoo, Wan-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.170-176
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    • 1998
  • In this paper, the column space and null space of the Jacobian matrix were obtained by using the pseudo-inverse method and projection matrix. The equations of motion of the system were replaced by independent acceleration components using the null space matrix. The proposed method has the following advantages. (1) It is simple to derive the null space. (2) The efficiency is improved by getting rid of constrained force terms. (3) Neither null space updating nor coordinate partitioning method is required. The suggested algorithm is applied to a three-dimensional vehicle model to show the efficiency.

Experiment study of structural random loading identification by the inverse pseudo excitation method

  • Guo, Xing-Lin;Li, Dong-Sheng
    • Structural Engineering and Mechanics
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    • v.18 no.6
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    • pp.791-806
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    • 2004
  • The inverse pseudo excitation method is used in the identification of random loadings. For structures subjected to stationary random excitations, the power spectral density matrices of such loadings are identified experimentally. The identification is based on the measured acceleration responses and the structural frequency response functions. Numerical simulation is used in the optimal selection of sensor locations. The proposed method has been successfully applied to the loading identification experiments of three structural models, two uniform steel cantilever beams and a four-story plastic glass frame, subjected to uncorrelated or partially correlated random excitations. The identified loadings agree quite well with actual excitations. It is proved that the proposed method is quite accurate and efficient in addition to its ability to alleviate the ill conditioning of the structural frequency response functions.

Dynamic Stress Analysis of joint by Practical Dynamic Load History (실하중 이력에 의한 조인트의 동적강도해석)

  • ;;;Akira Simamoto
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.118-123
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    • 2001
  • Most structures of automobile are composed of many substructures connected to one another by various types of mechanical joints. In automotive engineering, it is important to study these connected structures under various dynamic farces for the evaluations of fatigue life and stress concentration exactly. It is rarely obtained the accurate load history of specified positions because of the errors such as modeling, measurement, and etc. In the beginning of design, exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. In this paper, the procedure of practical dynamic load determination is developed by the combination of the principal stresses of F.E. analysis and experiment. Inverse problem and least square pseudo inverse matrix are adopted to obtain an inverse matrix of analyzed stresses matrix. Pseudo-Practical dynamic load was calculated for Lab. Test of sub-structure. GUI program(PLODAS) was developed for whole of above procedure. This proposed method could be extended to any geometric shape of structure.

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Singularity Avoidance Algorithms for Controlling Robot Manipulator: A Comparative Study (로봇 메니퓰레이터의 제어를 위한 특이점 회피 알고리즘의 비교 연구)

  • Kim, Sanghyun;Park, Jaeheung
    • The Journal of Korea Robotics Society
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    • v.12 no.1
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    • pp.42-54
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    • 2017
  • Using an inverse of the geometric Jacobian matrix is one of the most popular ways to control robot manipulators, because the Jacobian matrix contains the relationship between joint space velocities and operational space velocities. However, the control algorithm based on Jacobian matrix has algorithmic singularities: The robot manipulator becomes unstable when the Jacobian matrix loses rank. To solve this problem, various methods such as damped and filtered inverse have been proposed, but comparative studies to evaluate the performance of these algorithms are insufficient. Thus, this paper deals with a comparative analysis of six representative singularity avoidance algorithms: Damped Pseudo Inverse, Error Damped Pseudo Inverse, Scaled Jacobian Transpose, Selectively Damped Inverse, Filtered Inverse, and Task Transition Method. Especially, these algorithms are verified through computer simulations with a virtual model of a humanoid robot, THORMANG, in order to evaluate tracking error, computational time, and multiple task performance. With the experimental results, this paper contains a deep discussion about the effectiveness and limitations of each algorithm.

CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS

  • Yi, Inhyeop
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.133-146
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    • 2021
  • For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.

Inverse Model Parameter Estimation Based on Sensitivity Analysis for Improvement of PM10 Forecasting (PM10 예보 향상을 위한 민감도 분석에 의한 역모델 파라메터 추정)

  • Yu, Suk Hyun;Koo, Youn Seo;Kwon, Hee Yong
    • Journal of Korea Multimedia Society
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    • v.18 no.7
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    • pp.886-894
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    • 2015
  • In this paper, we conduct sensitivity analysis of parameters used for inverse modeling in order to estimate the PM10 emissions from the 16 areas in East Asia accurately. Parameters used in sensitivity analysis are R, the observational error covariance matrix, and B, a priori (background) error covariance matrix. In previous studies, it was used with the predetermined parameter empirically. Such a method, however, has difficulties in estimating an accurate emissions. Therefore, an automatically determining method for the most suitable value of R and B with an error measurement criteria and posteriori emissions accuracy is required. We determined the parameters through a sensitivity analysis, and improved the accuracy of posteriori emissions estimation. Inverse modeling methods used in the emissions estimation are pseudo inverse, NNLS (Nonnegative Least Square), and BA(Bayesian Approach). Pseudo inverse has a small error, but has negative values of emissions. In order to resolve the problem, NNLS is used. It has a unrealistic emissions, too. The problems are resolved with BA(Bayesian Approach). We showed the effectiveness and the accuracy of three methods through case studies.

Pseudo-inverse-filtering type decorrelating detector for asynchronous CDMA channels (비동기 CDMA 채널을 위한 의사 역행렬 형태의 역상관 검출기)

  • 맹승주;이병기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.8
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    • pp.2072-2079
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    • 1998
  • In this paper, we propose a new decorrelating detector called pseudo-inverse-filtering type decorrelating detector for asynchronous CDMA channels. We first show that the matched filtering and decorrelating operations of the existing decorrelating detectors can be replaced with the pseudo-inverse filtering operations in synchronous channels, and using this fact we show that the decorrelating detector has the largest SNR among the linear detectors that can eliminate MAI. Then we introduce asynchronous pseudo-inverse filtering type decorrelating detector by extending this result for asynchronous channels, and discuss implementation methods of the proposed decorrelating detectors. Since the proposed scheme employs a decentralized structure for updating coefficients, it has the flexibility to add/remove users. Finally we analyze the performance of the proposed decorrelating detector in terms of the bit error rate, and examine its performance improvements over the conventional detectors through computer simulations.

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Air Pollutants Tracing Model using Perceptron Neural Network and Non-negative Least Square

  • Yu, Suk-Hyun;Kwon, Hee-Yong
    • Journal of Korea Multimedia Society
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    • v.16 no.12
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    • pp.1465-1474
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    • 2013
  • In this paper, air pollutant tracing models using perceptron neural network(PNN) and non-negative least square(NNLS) are proposed. When the measured values of the air pollution and the contribution concentration of each source by chemical transport modeling are given, they estimate and trace the amount of the air pollutants emission from each source. Two kinds of emissions data are used in the experiments : CH4 and N2O of Geumgo-dong landfill greenhouse gas, and PM10 of 17 areas in Northeast Asia and eight regions of the Korean Peninsula. Emission values were calculated using pseudo inverse method, PNN and NNLS. Pseudo inverse method could be used for the model, but it may have negative emission values. In order to deal with the problem, we used the PNN and NNLS methods. As a result, the estimation using the NNLS is closer to the measured values than that using PNN. The proposed tracing models have better utilization and generalization than those of conventional pseudo inverse model. It could be used more efficiently for air quality management and air pollution reduction.