• Title/Summary/Keyword: Singular value

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A Bifurcation Analysis of Space Structures by Using 3D Beam-Column Element Considering Finite Deformations and Bowing Effect (유한변형과 굽힘효과가 고려된 3차원 보-기둥요소에 의한 공간구조물의 분기좌굴해석)

  • Lee, Kyung-Soo;Han, Sang-Eul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.307-314
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    • 2009
  • The present paper briefly describes the space frame element and the fundamental strategies in computational elastic bifurcation theory of geometrically nonlinear, single load parameter conservative elastic spatial structures. A method for large deformation(rotation) analysis of space frame is based on an eulerian formulation, which takes into consideration the effects of large joint translations and rotations with finite deformation(rotation). The local member force-deformation relationships are based on the beam-column approach, and the change in member chord lengths caused by axial strain and flexural bowing are taken into account. and the derived geometric stiffness matrix is unsymmetric because of the fact that finite rotations are not commutative under addition. To detect the singular point such as bifurcation point, an iterative pin-pointing algorithm is proposed. And the path switching mode for bifurcation path is based on the non-negative eigen-value and it's corresponding eigen-vector. Some numerical examples for bifurcation analysis are carried out for a plane frame, plane circular arch and space dome structures are described.

IEEE 802.11a Interference Suppression Method Using by SVD Algorithm in LR-UWB Systems (LR-UWB 시스템에서 특이값 분해를 이용한 IEEE 802.11a 간섭억압기법)

  • Kim, Dong-Hee;Kim, Tae-Hun;Jang, Hong-Mo;Park, Ho-Hwan;Kwak, Kyung-Sup
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.1A
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    • pp.74-84
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    • 2008
  • UWB radio systems have drawn attention during the last few years. These systems are the core technique for ubiquitous home and enable to co-exist with other narrow band systems over the same frequency without interfering them. But UWB signals have a very low power per pulse, so they are affected by strong narrow band interferences. Specially, IEEE 802.11a systems which operate around 5GHz overlap the band of UWB signals and they will interfere with UWB systems significantly. In this paper, we propose a novel narrow band interference suppression method based on singular value decomposition(SVD) algorithm for DS-UWB in IEEE 802.15.4a channel model. The proposed method is very effective and robust for both a single user DS-UWB system and a multiuser DS-UWB system to reduce the narrow band interference.

A study on principal component analysis using penalty method (페널티 방법을 이용한 주성분분석 연구)

  • Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.4
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    • pp.721-731
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    • 2017
  • In this study, principal component analysis methods using Lasso penalty are introduced. There are two popular methods that apply Lasso penalty to principal component analysis. The first method is to find an optimal vector of linear combination as the regression coefficient vector of regressing for each principal component on the original data matrix with Lasso penalty (elastic net penalty in general). The second method is to find an optimal vector of linear combination by minimizing the residual matrix obtained from approximating the original matrix by the singular value decomposition with Lasso penalty. In this study, we have reviewed two methods of principal components using Lasso penalty in detail, and shown that these methods have an advantage especially in applying to data sets that have more variables than cases. Also, these methods are compared in an application to a real data set using R program. More specifically, these methods are applied to the crime data in Ahamad (1967), which has more variables than cases.

A Study on Expressional features of the Existential Placeness - Focused on the early housing of M. Botta and C. Moore - (실존적 개념의 장소성의 표현 특성에 관한 연구 - 보타와 무어의 초기 주택을 중심으로 -)

  • Park Hyung-Jin;Kim Moon-Duck
    • Korean Institute of Interior Design Journal
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    • v.15 no.3 s.56
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    • pp.92-101
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    • 2006
  • This study examines placeness of the living space on the basis of Schulz's existential space and inquires into the expressional features of placeness by analyzing cases. Results of this study have shown that placeness of living space is formed by three factors as follows. First, the living space with placesness maintains inner order which structuralizes surroundings. Second, it expresses its identity through innate shape that reflects surroundings. Third, inner space has innate identity and it is much related to characteristics personality of a resident, environmental and psychological factors. It is as follows that concrete features of existential placeness shown in analyzing cases of Botta and Moore's works. There are concrete expressional features of placeness in the housing of Botta, and one is to keep order of inner space the horizontal and vertical axis reflected surroundings. Another is to show existence feeling as the shape of a stable singular mass with surroundings and regional properties. The third is to value innate features of each space inside housing and particularly to acquire placeness as combining phenomenological characteristic of light. There are concrete expressional features of placeness in the housing of Moore, and first, strong centrality formed in the inside is emphasized as extending to outside environment. Second, existence feeling is acquired as familiar form using the shape and material considered surroundings. Third, the personality of a resident is positively reflected in the design. Besides, placeness is acquired by goods and furniture as positively considering environmental and psychological sides.

Identification of Linear Model for Tandem Cold Mill Considering Interstand Interference (스탠드간 간섭현상을 고려한 연속 냉간압연기의 선형모델 규명)

  • Kim, In-Soo;Chang, Yu-Shin;Hwang, I-Cheol;Joo, Hyo-Nam;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.8
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    • pp.78-86
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    • 2000
  • This study identified a linear time-invariant mathematical model of each stand of a five-stand tandem cold mill. Two model identification methods are applied to construct a linear model of each stand of the tandem cold mill. For the model identification the input-output data that have interstand interference property in tandem cold rolling are obtained from a nonlinear simulator of the tandem cold mill. And a linear model of each stand is identified with N4SD(numerical algorithms for subspace state space system identification) method based on a state-space model and Least Square algorithm based on a transfer function. Furthermore a modeling error of the tandem cold mill is quantitatively analyzed from a maximum singular value plot of error function between an identified nominal model and uncertain model. In conclusion the comparison of the output signals between the existing Taylor linearized model the identified linear model and the nonlinear model of the tandem cold mill shows the accuracy and the applicability of the proposed identified model.

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Missing Data Correction and Noise Level Estimation of Observation Matrix (관측행렬의 손실 데이터 보정과 잡음 레벨 추정 방법)

  • Koh, Sung-shik
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.3
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    • pp.99-106
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    • 2016
  • In this paper, we will discuss about correction method of missing data on noisy observation matrix and uncertainty analysis for the potential noise. In situations without missing data in an observation matrix, this solution is known to be accurately induced by SVD (Singular Value Decomposition). However, usually the several entries of observation matrix have not been observed and other entries have been perturbed by the influence of noise. In this case, it is difficult to find the solution as well as cause the 3D reconstruction error. Therefore, in order to minimize the 3D reconstruction error, above all things, it is necessary to correct reliably the missing data under noise distribution and to give a quantitative evaluation for the corrected results. This paper focuses on a method for correcting missing data using geometrical properties between 2D projected object and 3D reconstructed shape and for estimating a noise level of the observation matrix using ranks of SVD in order to quantitatively evaluate the performance of the correction algorithm.

Piezoelectric impedance based damage detection in truss bridges based on time frequency ARMA model

  • Fan, Xingyu;Li, Jun;Hao, Hong
    • Smart Structures and Systems
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    • v.18 no.3
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    • pp.501-523
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    • 2016
  • Electromechanical impedance (EMI) based structural health monitoring is performed by measuring the variation in the impedance due to the structural local damage. The impedance signals are acquired from the piezoelectric patches that are bonded on the structural surface. The impedance variation, which is directly related to the mechanical properties of the structure, indicates the presence of local structural damage. Two traditional EMI-based damage detection methods are based on calculating the difference between the measured impedance signals in the frequency domain from the baseline and the current structures. In this paper, a new structural damage detection approach by analyzing the time domain impedance responses is proposed. The measured time domain responses from the piezoelectric transducers will be used for analysis. With the use of the Time Frequency Autoregressive Moving Average (TFARMA) model, a damage index based on Singular Value Decomposition (SVD) is defined to identify the existence of the structural local damage. Experimental studies on a space steel truss bridge model in the laboratory are conducted to verify the proposed approach. Four piezoelectric transducers are attached at different locations and excited by a sweep-frequency signal. The impedance responses at different locations are analyzed with TFARMA model to investigate the effectiveness and performance of the proposed approach. The results demonstrate that the proposed approach is very sensitive and robust in detecting the bolt damage in the gusset plates of steel truss bridges.

Equivalence study of canonical correspondence analysis by weighted principal component analysis and canonical correspondence analysis by Gaussian response model (가중주성분분석을 활용한 정준대응분석과 가우시안 반응 모형에 의한 정준대응분석의 동일성 연구)

  • Jeong, Hyeong Chul
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.945-956
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    • 2021
  • In this study, we considered the algorithm of Legendre and Legendre (2012), which derives canonical correspondence analysis from weighted principal component analysis. And, it was proved that the canonical correspondence analysis based on the weighted principal component analysis is exactly the same as Ter Braak's (1986) canonical correspondence analysis based on the Gaussian response model. Ter Braak (1986)'s canonical correspondence analysis derived from a Gaussian response curve that can explain the abundance of species in ecology well uses the basic assumption of the species packing model and then conducts generalized linear model and canonical correlation analysis. It is derived by way of binding. However, the algorithm of Legendre and Legendre (2012) is calculated in a method quite similar to Benzecri's correspondence analysis without such assumptions. Therefore, if canonical correspondence analysis based on weighted principal component analysis is used, it is possible to have some flexibility in using the results. In conclusion, this study shows that the two methods starting from different models have the same site scores, species scores, and species-environment correlations.

High Resolution 3D Magnetic Resonance Fingerprinting with Hybrid Radial-Interleaved EPI Acquisition for Knee Cartilage T1, T2 Mapping

  • Han, Dongyeob;Hong, Taehwa;Lee, Yonghan;Kim, Dong-Hyun
    • Investigative Magnetic Resonance Imaging
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    • v.25 no.3
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    • pp.141-155
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    • 2021
  • Purpose: To develop a 3D magnetic resonance fingerprinting (MRF) method for application in high resolution knee cartilage PD, T1, T2 mapping. Materials and Methods: A novel 3D acquisition trajectory with golden-angle rotating radial in kxy direction and interleaved echo planar imaging (EPI) acquisition in the kz direction was implemented in the MRF framework. A centric order was applied to the interleaved EPI acquisition to reduce Nyquist ghosting artifact due to field inhomogeneity. For the reconstruction, singular value decomposition (SVD) compression method was used to accelerate reconstruction time and conjugate gradient sensitivity-encoding (CG-SENSE) was performed to overcome low SNR of the high resolution data. Phantom experiments were performed to verify the proposed method. In vivo experiments were performed on 6 healthy volunteers and 2 early osteoarthritis (OA) patients. Results: In the phantom experiments, the T1 and T2 values of the proposed method were in good agreement with the spin-echo references. The results from the in vivo scans showed high quality proton density (PD), T1, T2 map with EPI echo train length (NETL = 4), acceleration factor in through plane (Rz = 5), and number of radial spokes (Nspk = 4). In patients, high T2 values (50-60 ms) were seen in all transverse, sagittal, and coronal views and the damaged cartilage regions were in agreement with the hyper-intensity regions shown on conventional turbo spin-echo (TSE) images. Conclusion: The proposed 3D MRF method can acquire high resolution (0.5 mm3) quantitative maps in practical scan time (~ 7 min and 10 sec) with full coverage of the knee (FOV: 160 × 160 × 120 mm3).

Movie Recommendation System based on Latent Factor Model (잠재요인 모델 기반 영화 추천 시스템)

  • Ma, Chen;Kim, Kang-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.1
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    • pp.125-134
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    • 2021
  • With the rapid development of the film industry, the number of films is significantly increasing and movie recommendation system can help user to predict the preferences of users based on their past behavior or feedback. This paper proposes a movie recommendation system based on the latent factor model with the adjustment of mean and bias in rating. Singular value decomposition is used to decompose the rating matrix and stochastic gradient descent is used to optimize the parameters for least-square loss function. And root mean square error is used to evaluate the performance of the proposed system. We implement the proposed system with Surprise package. The simulation results shows that root mean square error is 0.671 and the proposed system has good performance compared to other papers.