• Title/Summary/Keyword: eigen-vector method

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An Estimating Method for Priority Vector in AHP, Using the Eigen-Decomposition of a Skew-Symmetric Matrix (AHP에서 왜대칭행렬의 고유분해를 이용한 중요도 추정법의 제안)

  • 이광진
    • The Korean Journal of Applied Statistics
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    • v.17 no.1
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    • pp.119-134
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    • 2004
  • Generally to estimate the priority vector in AHP, an eigen-vector method or a log-arithmic least square method is applied to pairwise comparison matrix itself. In this paper an estimating method is suggested, which is applied to pairwise comparison matrix adjusted by using the eigen-decomposition of skew-symmetric matrix. We also show theoretical background, meanings, and several advantages of this method by example. This method may be useful in case that pairwise comparison matrix is quite inconsistent.

Levy-type solution for analysis of a magneto-electro-elastic panel

  • Jia He;Xuejiao Zhang;Hong Gong;H. Elhosiny Ali;Elimam Ali
    • Steel and Composite Structures
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    • v.46 no.6
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    • pp.719-729
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    • 2023
  • This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.

Fast Gabor Feature Extraction for Real Time Face Recognition (실시간 얼굴인식을 위한 빠른 Gabor 특징 추출)

  • Cho, Kyoung-Sik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.06a
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    • pp.597-600
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    • 2007
  • Face is considered to be one of the biometrics in person identification. But Face recognition is a high dimensional pattern recognition problem. Even low-resolution face images generate huge dimensional feature space. The aim of this paper is to present a fast feature extraction method for real time human face recognition. first, It compute eigen-vector and eigen-value by Principle component analysis on inputed human face image, and propose method of feature extraction that make feature vector by apply gabor filter to computed eigen-vector. And it compute feature value which multiply by made eigen-value. This study simulations performed using the ORL Database.

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Robust Speech Recognition using Noise Compensation Method Based on Eigen - Environment (Eigen - Environment 잡음 보상 방법을 이용한 강인한 음성인식)

  • Song Hwa Jeon;Kim Hyung Soon
    • MALSORI
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    • no.52
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    • pp.145-160
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    • 2004
  • In this paper, a new noise compensation method based on the eigenvoice framework in feature space is proposed to reduce the mismatch between training and testing environments. The difference between clean and noisy environments is represented by the linear combination of K eigenvectors that represent the variation among environments. In the proposed method, the performance improvement of speech recognition systems is largely affected by how to construct the noisy models and the bias vector set. In this paper, two methods, the one based on MAP adaptation method and the other using stereo DB, are proposed to construct the noisy models. In experiments using Aurora 2 DB, we obtained 44.86% relative improvement with eigen-environment method in comparison with baseline system. Especially, in clean condition training mode, our proposed method yielded 66.74% relative improvement, which is better performance than several methods previously proposed in Aurora project.

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Recognition of Handwritten Numerals using Eigenvectors (고유벡터를 이용한 필기체 숫자인식)

  • 박중조;김경민;송명현
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.6
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    • pp.986-991
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    • 2002
  • This paper presents off-line handwritten numeral recognition method by using Eigen-Vectors. In this method, numeral features are extracted statistically by using Eigen-Vectors through KL transform and input numeral is recognized in the feature space by the nearest-neighbor classifier. In our feature extraction method, basis vectors which express best the property of each numeral type within the extensive database of sample numeral images are calculated, and the numeral features are obtained by using this basis vectors. Through the experiments with the unconstrained handwritten numeral database of Concordia University, we have achieved a recognition rate of 96.2%.

A Study on Eigen-properties of a 3-Dim. Resonant Cavity by Krylov-Schur Iteration Method (Krylov-Schur 순환법을 이용한 3-차원 원통구조 도파관의 고유특성 연구)

  • Kim, Yeong Min;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.7
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    • pp.142-148
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    • 2014
  • Krylov-Schur iteration method has been applied to the 3-Dim. resonant cavity of a cylindrical form. The vector Helmholtz equation has been analysed for the resonant field strength in homogeneous media by FEM. An eigen-equation has been constructed from element equations basing on tangential edges of the tetrahedra element. This equation made up of two square matrices associated with the curl-curl form of the Helmholtz operator. By performing Krylov-Schur iteration loops on them, Eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. Eigen-pairs as a result have been revealed visually in the schematic representations. The spectra have been compared with each other to identify the effect of boundary conditions.

The Face Recognition Using New Feature Vector Composition from Gabor Reponse and K-L Transform (Gabor 응답에 대한 새로운 특징벡터의 구성과 K-L 변환을 이용한 얼굴인식)

  • 이완수;이형지;정재호
    • Proceedings of the IEEK Conference
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    • 2001.06d
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    • pp.33-36
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    • 2001
  • We introduce, in this paper, the face recognition method that improves recognition rate and training time in eigen system. To increase recognition rate we use Gabor filter. To reduce the increasing training time owing to use Gabor filtering, we extract new feature vectors that are made with average and standard deviation. In experimental results, we get higher recognition rate and shorter training time in improved system than it in original eigen system.

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Implementation of Efficient Power Method on CUDA GPU (CUDA 기반 GPU에서 효율적인 Power Method의 구현)

  • Kim, Jung-Hwan;Kim, Jin-Soo
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.2
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    • pp.9-16
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    • 2011
  • GPU computing is emerging in high performance application area since it can easily exploit massive parallelism in a way of cost-effective computing. The power method which finds the eigen vector of a given matrix is widely used in various applications such as PageRank for calculating importance of web pages. In this research we made the power method efficiently parallelized on GPU and also suggested how it can be improved to enhance its performance. The power method mainly consists of matrix-vector product and it can be easily parallelized. However, it should decide the convergence of the eigen vector and need scaling of the vector subsequently. Such operations incur several calls to GPU kernels and data movement between host and GPU memories. We improved the performance of the power method by means of reduced calls to GPU kernels, optimized thread allocation and enhanced decision operation for the convergence.

Appearance-based Robot Visual Servo via a Wavelet Neural Network

  • Zhao, Qingjie;Sun, Zengqi;Sun, Fuchun;Zhu, Jihong
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.607-612
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    • 2008
  • This paper proposes a robot visual servo approach based on image appearance and a wavelet function neural network. The inputs of the wavelet neural network are changes of image features or the elements of image appearance vector, and the outputs are changes of robot joint angles. Image appearance vector is calculated by using eigen subspace transform algorithm. The proposed approach does not need a priori knowledge of the robot kinematics, hand-eye geometry and camera models. The experiment results on a real robot system show that the proposed method is practical and simple.

Recognition of Off-line Handwritten Numerals using KL Transformation (KL변환에 의한 오프라인 필기체 숫자인식)

  • 박중조;김경민;송명현
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.11a
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    • pp.912-915
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    • 2002
  • This paper presents off-line handwritten numeral recognition method by using Eigen-Vectors. In this method, numeral features are extracted statistically by using Eigen-Vectors through KL transform and input numeral is recognized in the feature space by the nearest-neighbor classifier. In our feature extraction method, basis vectors which express best the property of each numeral type within the extensive database of sample numeral images are calculated, and the numeral features are obtained by using this basis vectors. Through the experiments with the unconstrained handwritten numeral database of Concordia University, we have achieved a recognition rate of 96.2%.

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