• Title/Summary/Keyword: Independent Components Analysis

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Estimation of Pure Component Fractions in a Mixture Using Independent Component Analysis (독립성분분석을 이용한 혼합물내의 순수물질 구성비 추정)

  • Jeon Chi-Hyeok;Lee Hye-Seon;Park Hae-Sang;Hong Jae-Hwa
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1066-1070
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    • 2006
  • Independent component analysis (ICA) is a statistical method for linearly transforming observed high-dimensional multivariate data into several statistically independent components. ICA has gained wide-spread attention in a variety of fields including spectrum application. We focus on the application of ICA for separating independent sources from a set of mixtures and estimating their fractions in a mixture. The proposed method of estimating fractions is based on the regression model subject to the non-negativity constraint on coefficients. Simulation experiments are performed to demonstrate the performance of the proposed approach.

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Improving Polynomial Regression Using Principal Components Regression With the Example of the Numerical Inversion of Probability Generating Function (주성분회귀분석을 활용한 다항회귀분석 성능개선: PGF 수치역변환 사례를 중심으로)

  • Yang, Won Seok;Park, Hyun-Min
    • The Journal of the Korea Contents Association
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    • v.15 no.1
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    • pp.475-481
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    • 2015
  • We use polynomial regression instead of linear regression if there is a nonlinear relation between a dependent variable and independent variables in a regression analysis. The performance of polynomial regression, however, may deteriorate because of the correlation caused by the power terms of independent variables. We present a polynomial regression model for the numerical inversion of PGF and show that polynomial regression results in the deterioration of the estimation of the coefficients. We apply principal components regression to the polynomial regression model and show that principal components regression dramatically improves the performance of the parameter estimation.

A Study of Relationships between the Sea Surface Temperatures and Rainfall in Korea (해수면온도와 우리나라 강우량과의 상관성 분석)

  • Moon Young-Il;Kwon Hyun-Han;Kim Dong-Kwon
    • Journal of Korea Water Resources Association
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    • v.38 no.12 s.161
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    • pp.995-1008
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    • 2005
  • In this study, the principal components of rainfall in Korea are extracted by a method which consists of the independent component analysis combined with the wavelet transform, to examine the spatial correlation between seasonal rainfalls and global sea surface temperatures (SSTs). The 2-8 year band retains a strong wavelet power spectrum and the low frequency characteristics are shown by the wavelet analysis. The independent component analysis is performed by using the Scale Average Wavelet Power(SAWP) that is estimated by wavelet analysis. Interannual-interdecadal variation is the dominant variation, and an increasing trend is observed in the spring and summer seasons. The relationships between principal components of rainfall in the spring/summer seasons and SSTs existed in Indian and Pacific Oceans. Particularly, the SST zones, which represent a statistically significant correlation are located in the Philippine offshore and Australia offshore. Also, the three month leading SSTs in the same region we strongly correlated with the rainfall. Hence, these results propose a promising possibility of seasonal rainfall prediction by SST predictors.

Face recognition by using independent component analysis (독립 성분 분석을 이용한 얼굴인식)

  • 김종규;장주석;김영일
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.10
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    • pp.48-58
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    • 1998
  • We present a method that can recognize face images using independent component analysis that is used mainly for blind sources separation in signal processing. We assumed that a face image can be expressed as the sum of a set of statistically independent feature images, which was obtained by using independent component analysis. Face recognition was peformed by projecting the input image to the feature image space and then by comparing its projection components with those of stored reference images. We carried out face recognition experiments with a database that consists of various varied face images (total 400 varied facial images collected from 10 per person) and compared the performance of our method with that of the eigenface method based on principal component analysis. The presented method gave better results of recognition rate than the eigenface method did, and showed robustness to the random noise added in the input facial images.

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Analysis of fMRI Signal Using Independent Component Analysis (Independent Component Analysis를 이용한 fMRI신호 분석)

  • 문찬홍;나동규;박현욱;유재욱;이은정;변홍식
    • Investigative Magnetic Resonance Imaging
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    • v.3 no.2
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    • pp.188-195
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    • 1999
  • The fMRI signals are composed of many various signals. It is very difficult to find the accurate parameter for the model of fMRI signal containing only neural activity, though we may estimating the signal patterns by the modeling of several signal components. Besides the nose by the physiologic motion, the motion of object and noise of MR instruments make it more difficult to analyze signals of fMRI. Therefore, it is not easy to select an accurate reference data that can accurately reflect neural activity, and the method of an analysis of various signal patterns containing the information of neural activity is an issue of the post-processing methods for fMRI. In the present study, fMRI data was analyzed with the Independent Component Analysis(ICA) method that doesn't need a priori-knowledge or reference data. ICA can be more effective over the analytic method using cross-correlation analysis and can separate the signal patterns of the signals with delayed response or motion related components. The Principal component Analysis (PCA) threshold, wavelet spatial filtering and analysis of a part of whole images can be used for the reduction of the freedom of data before ICA analysis, and these preceding analyses may be useful for a more effective analysis. As a result, ICA method will be effective for the degree of freedom of the data.

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Independent Component Analysis for Clustering Analysis Components by Using Kurtosis (첨도에 의한 분석성분의 군집성을 고려한 독립성분분석)

  • Cho, Yong-Hyun
    • The KIPS Transactions:PartB
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    • v.11B no.4
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    • pp.429-436
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    • 2004
  • This paper proposes an independent component analyses(ICAs) of the fixed-point (FP) algorithm based on Newton and secant method by adding the kurtosis, respectively. The kurtosis is applied to cluster the analyzed components, and the FP algorithm is applied to get the fast analysis and superior performance irrelevant to learning parameters. The proposed ICAs have been applied to the problems for separating the 6-mixed signals of 500 samples and 10-mixed images of $512\times512$ pixels, respectively. The experimental results show that the proposed ICAs have always a fixed analysis sequence. The results can be solved the limit of conventional ICA without a kurtosis which has a variable sequence depending on the running of algorithm. Especially. the proposed ICA can be used for classifying and identifying the signals or the images. The results also show that the secant method has better the separation speed and performance than Newton method. And, the secant method gives relatively larger improvement degree as the problem size increases.

Independent Component Analysis for Clustering Components by Using Fixed-Point Algorithm of Secant Method and Kurtosis (할선법의 고정점 알고리즘과 첨도에 의한 군집성의 독립성분분석)

  • Cho, Yong-Hyun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.3
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    • pp.336-341
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    • 2004
  • This paper proposes an independent component analysis(ICA) of the fixed-point (FP) algorithm based on secant method and the kurtosis. The FP algorithm based on secant method is applied to improve the analysis speed and performance by simplifying the calculation process of the complex derivative in Newton method, the kurtosis is applied to cluster the components. The proposed ICA has been applied to the problems for separating the 6-mixed signals of 500 samples and 8-mixed images of $512{\times}512$ pixels, respectively. The experimental results show that the proposed ICA has always a fixed analysis sequence. The result can be solved the limit of conventional ICA based on secant method which has a variable sequence depending on the running of algorithm. Especially, the proposed ICA can be used for classifying and identifying the signals or the images.

Independent Component Analysis of Fixed-Point Algorithm for Clustering Components Using Kurtosis (첨도를 이용한 군집성을 가진 고정점 알고리즘의 독립성분분석)

  • Cho, Yong-Hyun;Kim, A-Ram
    • The KIPS Transactions:PartB
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    • v.11B no.3
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    • pp.381-386
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    • 2004
  • This paper proposes an independent component analysis(ICA) of the fixed-point(FP) algorithm based on Newton method by adding the kurtosis. The kurtosis is applied for clustering the components, and the FP algorithm of Newton method is applied for improving the analysis speed and performance. The proposed ICA has been applied to the problems for separating the 6-mixed signals of 500 samples and 8-mixed images of $512\times512$pixels, respectively. The experimental results show that the proposed ICA has always a fixed analysis sequence. The result can be solved the limit of conventional ICA which has a variable sequence depending on the running of algorithm. Especially, the proposed ICA can be used to classify and identify the signals or the images.

FACTORS AFFECTING WOMEN'S OUT-OF-POCKET COST : AN APPLICATION OF THE ANDERSEN-NEWMAN MODEL (앤더슨-뉴만 모형을 이용한 여성의 직접구강진료비 지출에 관한 연구)

  • Lee, Heung-Soo;You, Hyung-Keun
    • Journal of Periodontal and Implant Science
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    • v.26 no.3
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    • pp.689-699
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    • 1996
  • The purpose of this research is to determine elements affecting the out-of-pocket cost of woman. The sample consisted of 1907 women living Iksan city. The survey was conducted by means of questionnaires. The model used in the analysis of out-of-pocket cost was the Andersen-Newman model, while the analysis techniques used were stepwise multiple regression and path analysis. The number of independent variables used in the analysis was 28 in total, ie 19 predisposing components, 6 enabling components, and 3 need components. In this study, the amount of variance by the model was 17 percent. Number of restricted activity days caused by oral disease, perceived susceptibility of dental disease, having a regular dental care, dental treatment costs, education level and income were found to have significant major effects on out-of-pocket cost. Number of restricted activity days caused by oral disease was the most important variable affecting out-of-pocket cost of woman. Also out-of-pocket cost shows larger effect due to enabling components than frequency of dental utilization.

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Reliability Modeling and Computational Algorithm of Network Systems with Dependent Components (구성요소가 서로 종속인 네트워크시스템의 신뢰성모형과 계산알고리즘)

  • 홍정식;이창훈
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.1
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    • pp.88-96
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    • 1989
  • General measure in the reliability is the k-terminal reliability, which is the probability that the specified vertices are connected by the working edges. To compute the k-terminal reliability components are usually assumed to be statistically independent. In this study the modeling and analysis of the k-terminal reliability are investigated when dependency among components is considered. As the size of the network increases, the number of the joint probability parameter to represent the dependency among components is increasing exponentially. To avoid such a difficulty the structured-event-based-reliability model (SERM) is presented. This model uses the combination of the network topology (physical representation) and reliability block diagram (logical representation). This enables us to represent the dependency among components in a network form. Computational algorithms for the k-terminal reliability in SERM are based on the factoring algorithm Two features of the ractoring algorithm are the reliability preserving reduction and the privoting edge selection strategy. The pivoting edge selction strategy is modified by two different ways to tackle the replicated edges occuring in SERM. Two algorithms are presented according to each modified pivoting strategy and illustrated by numerical example.

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