• 제목/요약/키워드: Principal components analysis

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신경망을 이용한 로버스트 주성분 분석에 관한 연구 (On Robust Principal Component using Analysis Neural Networks)

  • 김상민;오광식;박희주
    • Journal of the Korean Data and Information Science Society
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    • 제7권1호
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    • pp.113-118
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    • 1996
  • 주성분 분석은 자료압축, 특징추출, 통신이론, 패턴인식 그리고 화상처리등의 컴퓨터 공학분야에서 중요하게 사용되고 있다. Oja(1982,1989,1992)는 확률적 경사 강하법(SGA:Stochastic Gradient Ascent)을 이용한 제한된 헵규칙을 제안하여 주성분 분석에 사용하였다. 그러나, 이 규칙은 이상치에 민감하므로 이상치의 영향을 줄이기 위해, Xu & Yuille(1995)는 통계물리 방법을 이용한 로버스트 에너지함수를 생성하여 로버스트 주성분 분석방법을 제안하였다. 또한 Devlin et.al(1981)은 M-추정량을 이용하여 주성분 분석을 하였다. 본 논문에서는 Oja(1992)의 규칙과 Xu & Yuille(1995)의 로버스트 에너지함수를 이용하여 신경망을 구성하였다. 그리고, Devlin et.al(1981)이 제안한 시뮬레이션조건하에서 실험을 하였다. 실험한 결과와 Devlin et.al(1981)의 결과를 비교, 분석함으로써, 신경망의 성능을 확인하고자 한다.

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백강균(白殭菌)을 처리(處理)한 소나무림의 낙엽(落葉)과 토양(土壤)에 서식(棲息)하는 무척주동물(無脊柱動物) 군집(群集)에 대한 다변량분석(多變量分析) (Multivariate Analysis on Invertebrate Communities in Litter and Soils of Japanese Red Pine Forests treated by Beauveria bassiana)

  • 권태성;박영석;신상철;이범영
    • 한국산림과학회지
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    • 제90권5호
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    • pp.593-599
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    • 2001
  • 다변량분석법(주성분분석법, PCA)을 이용하여 무척추동물 군집에 백강균 처리가 미치는 영향을 검정하였다. 좌표공간내의 군집들간의 거리를 이용하여, 군집구조에 미치는 요인들의 영향을 통계 검정하였다. 백강균 처리는 낙엽과 토양의 무척추동물 군집에 유의한 영향을 주지 않았다.

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Assessment of Water Quality using Multivariate Statistical Techniques: A Case Study of the Nakdong River Basin, Korea

  • Park, Seongmook;Kazama, Futaba;Lee, Shunhwa
    • Environmental Engineering Research
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    • 제19권3호
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    • pp.197-203
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    • 2014
  • This study estimated spatial and seasonal variation of water quality to understand characteristics of Nakdong river basin, Korea. All together 11 parameters (discharge, water temperature, dissolved oxygen, 5-day biochemical oxygen demand, chemical oxygen demand, pH, suspended solids, electrical conductivity, total nitrogen, total phosphorus, and total organic carbon) at 22 different sites for the period of 2003-2011 were analyzed using multivariate statistical techniques (cluster analysis, principal component analysis and factor analysis). Hierarchical cluster analysis grouped whole river basin into three zones, i.e., relatively less polluted (LP), medium polluted (MP) and highly polluted (HP) based on similarity of water quality characteristics. The results of factor analysis/principal component analysis explained up to 83.0%, 81.7% and 82.7% of total variance in water quality data of LP, MP, and HP zones, respectively. The rotated components of PCA obtained from factor analysis indicate that the parameters responsible for water quality variations were mainly related to discharge and total pollution loads (non-point pollution source) in LP, MP and HP areas; organic and nutrient pollution in LP and HP zones; and temperature, DO and TN in LP zone. This study demonstrates the usefulness of multivariate statistical techniques for analysis and interpretation of multi-parameter, multi-location and multi-year data sets.

주성분 분석을 이용한 DAMADICS 공정의 이상진단 모델 개발 (Principal Component Analysis Based Method for a Fault Diagnosis Model DAMADICS Process)

  • 박재연;이창준
    • 한국안전학회지
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    • 제31권4호
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    • pp.35-41
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    • 2016
  • In order to guarantee the process safety and prevent accidents, the deviations from normal operating conditions should be monitored and their root causes have to be identified as soon as possible. The statistical theories-based method among various fault diagnosis methods has been gaining popularity, due to simplicity and quickness. However, according to fault magnitudes, the scalar value generated by statistical methods can be changed and this point can lead to produce wrong information. To solve this difficulty, this work employs PCA (Principal Component Analysis) based method with qualitative information. In the case study of our previous study, the number of assumed faults is much smaller than that of process variables. In the case study of this study, the number of predefined faults is 19, while that of process variables is 6. It means that a fault diagnosis becomes more difficult and it is really hard to isolate a single fault with a small number of variables. The PCA model is constructed under normal operation data in order to get a loading vector and the data set of assumed faulty conditions is applied with PCA model. The significant changes on PC (Principal Components) axes are monitored with CUSUM (Cumulative Sum Control Chart) and recorded to make the information, which can be used to identify the types of fault.

Sound Based Machine Fault Diagnosis System Using Pattern Recognition Techniques

  • Vununu, Caleb;Moon, Kwang-Seok;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • 한국멀티미디어학회논문지
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    • 제20권2호
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    • pp.134-143
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    • 2017
  • Machine fault diagnosis recovers all the studies that aim to detect automatically faults or damages on machines. Generally, it is very difficult to diagnose a machine fault by conventional methods based on mathematical models because of the complexity of the real world systems and the obvious existence of nonlinear factors. This study develops an automatic machine fault diagnosis system that uses pattern recognition techniques such as principal component analysis (PCA) and artificial neural networks (ANN). The sounds emitted by the operating machine, a drill in this case, are obtained and analyzed for the different operating conditions. The specific machine conditions considered in this research are the undamaged drill and the defected drill with wear. Principal component analysis is first used to reduce the dimensionality of the original sound data. The first principal components are then used as the inputs of a neural network based classifier to separate normal and defected drill sound data. The results show that the proposed PCA-ANN method can be used for the sounds based automated diagnosis system.

묘사분석을 이용한 쌀 과자의 관능적 특성 연구 (Sensory Characteristics of Rice Confections by Descriptive Analysis)

  • 정다은;양정은;정라나
    • 한국식생활문화학회지
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    • 제31권1호
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    • pp.105-110
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    • 2016
  • The objective of this study was to determine sensory profiles of rice confections. The samples used in this study obtained from Korea (traditional Korea rice snack and local specialty rice snack) and three countries (USA, Japan, and China) were evaluated and compared. The sensory characteristics of five kinds of rice confections were evaluated using a sensory test and were analyzed via quantitative description analysis (QDA), principal component analysis (PCA), and hierarchical cluster analysis (HCA). In the descriptive analysis, 10 trained panelists evaluated sensory characteristics consisting of 19 attributes, and there were significant differences (p<0.05) among the 16 characteristics. For the descriptive data, multivariate analysis of variance was carried out and identified differences among the samples. The PCA of rice confections for the first two principal components could explain 85.66% of the variations. The Korean, Japanese, and Chinese rice confections were savory, gritty, and particle-sized, the other Korean local specialty rice confections were fruity, sweet, honey-flavored, compact, and crispy, and those from the USA were glossy, grainy, bright, adhesive, cohesive, crispy, and sweet.

The Variation of Winter Buds among 10 Selected Populations of Kalopanax septemlobus Koidz. in Korea

  • Kim, Sea-Hyun;Ahn, Young-sang;Jung, Hyun-Kwon;Jang, Yong-Seok;Park, Hyung-Soon
    • Plant Resources
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    • 제5권3호
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    • pp.214-223
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    • 2002
  • The objective of this study was to understand the conservation of gene resources and provide information for mass selection' of winter bud characters among the selected populations of Kalopanax septemlobus Koidz using analysis of variance(ANOVA) tests. The obtained results are shown below; 1. Ten populations of K. septemlobus were selected for the study of the variation of winter bud characters in Korea. The results of the analysis of variance(ANOVA) tests shows that there were statistically significant differences in all of the winter bud characters among those populations. 2. Correlation analysis shows that width between Height and DBH(Diameter at breast height) characters have negative relationship with all of the characters, as ABL(Apical branch length), ABW(Apical branch width), AWBL(Apical branch winter bud length), AWBW(Apical branch winter bud width), ABT(Apical branch No. of thorns), ABLB(Apical branch No. of lateral bud) and LBL(Lateral branch length), LBW(Lateral branch width), LBT(Lateral branch No. of thorns), LBLB(Lateral branch No. of lateral bud). 3. The result of principal component analysis(PCA) for winter buds showed that the first principal components(PC' s) to the fourth principal component explains about 78% of the total variation. The first principal component(PC) was correlated with AWBW, LWBW, and LBL and the ratio of ABL/ABW and LBL/LBW out of 16 winter bud characters. The second principal component correlated with ABL, ABW, ABLB, LWBL(Lateral branch winter bud length), and LBW and the ratio of AWBL/AWBW. The third principal component correlated with ABL, ABW, LWBL, LBL, and the ratio of LBL/LBW. The fourth principal component correlated with LBL and the ratio of LWBL/LWBW(Lateral branch winter bud width), LBL/LBW. Therefore, these characters were important to analysis of the variation for winter bud characters among selected populations of K. septemlobus in Korea. 4. Cluster analysis using the average linkage method based on 10 selected populations for the 16 winter bud characters of K. septemlobus in Korea showed a clustering into two groups by level of distance 1.1(Fig. 3). As can be seen in Fig. 3, Group I consisted of three areas(Mt. Sori, Mt. Balwang and Mt. Worak) and Group Ⅱ contisted of seven areas(Suwon, Mt. Chuwang, Mt. Kyeryong, Mt. Kaji, Mt. Jiri, Muan, and Mt. Halla). The result of cluster analysis for winter bud characters corresponded well with principal component analysis, as is shown in Fig. 2.

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대기 부유 분진 중 미량유해물질들의 통계적 오염 해석 (Statistical Analysis on Pollutants of Total Suspended Particulates in the Ambient Air)

  • 허문영;유기선;김경호;손동헌
    • 한국대기환경학회지
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    • 제6권2호
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    • pp.155-160
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    • 1990
  • During the period from Mar. 1985 to Feb. 1988, airborne particulate matters were collected and size fractionated by the ANdersen high volume air sampler in Seoul. The concentrations of several heavy metals (Pb, Cu, Zn, Fe, Mn) and benzo(a)pyrene were determined to investigate the size distributions and seasonal variations. And with respect to seven components in the total suspended particulate (TSP), the factor analysis was performed for three groups such as the coarse particles (> 2 $\mu$m), fine particles (< $\mu$m) and TSP. As a result of factor analysis by using the varimax method, the chemical components in the TSP were able to characterize with two principal factors. The first factor, F1 was considered to be a factor indicating the contribution of natural sources and the second factor, F2 was a factor indicating the degree of artificial sources. Each components in the TSP was divided into two main groups of components originated from soil and/or road dust and pollutants originated from automobiles and/or human work.

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독립성분 행렬도 (Independent Component Biplot)

  • 이수진;최용석
    • 응용통계연구
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    • 제27권1호
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    • pp.31-41
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    • 2014
  • 행렬도(biplot)는 이원표 자료행렬(two-way data matrix)의 행과 열을 한 그림에 동시에 나타내는 탐색적 방법으로, 복잡한 다변량 분석 결과를 보다 쉽게 파악할 수 있는 장점이 있다. 특히 주성분인자 행렬도(principal component factor biplot; PCFB)는 인자분석을 통해서 변수들 간의 상호의존 구조를 탐색하기 위한 시각적 도구이다. 자료에 따라 잠재된 변수들이 독립(independent)이고 비가우시안(non-Gaussian) 분포를 가진다는 사전 정보가 있을 때, Jutten과 Herault (1991)가 제안한 독립성분분석(independent component analysis)을 이용한다. 이 경우 주성분법을 이용한 인자분석을 적용하면 원래 변수들의 상호 관계를 잘못 해석할 수도 있다. 따라서 본 논문에서는 자료에 따라 잠재된 변수들이 독립이고 비가우시안 분포를 가진다는 사전 정보가 있을 때, 독립성분분석을 응용하여 원래 변수들 간의 상호 관계를 기하학적으로 살펴볼 수 있는 시각적 도구인 독립성분 행렬도(independent component biplot; ICB)를 제안하려 한다.

어육장과 시판 소스의 휘발성 향기 성분 비교 (Comparison of Volatile Components in $\hat{O}yuk-jang$ and Commercial Sauce)

  • 임채란;이종미;김지원;유민정;김영석;노봉수
    • 한국식생활문화학회지
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    • 제22권4호
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    • pp.462-467
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    • 2007
  • 어육장과 시중 판매되는 소스의 휘발성 향기 성분들을 GC-SAW 전자코를 이용하여 분석하였다. 어육장은 담그고 1년 동안 발효${\cdot}$숙성 하면서 2개월 간격으로 액체부분만 취해서 분석하였고 숙성 1년이 지난 후에는 가열을 하였다. 소스는 주 원료가 다른 6종을 구입하여 시료로 이용하였다. 발효${\cdot}$숙성이 진행됨에 따라 어육장의 휘발성 향기 성분은 감소하였으며 숙성 후 가열 처리 한 결과 초기 머무름 시간에서 새로운 peak가 여러 개 생성 또는 증가함을 보였다. 쇠고기 추출물, 가쓰오부시, 멸치액젓이 주원료인 소스는 전자코 분석 결과 주 원료에 따라 peak의 분포와 면적의 크기가 서로 다른 패턴을 보였으며, 이는 어육장의 최종 시료와도 달랐다. 어육장과 소스의 향기 성분을 머무름 시간에 따라 주성분 분석을 하여 원료에 따른 향기 패턴에 차이가 있음을 나타내었으며 어육장은 제조 시 사용된 재료로 인하여 쇠고기와 멸치액젓이 주 원료인 소스 사이에 제 1주성분값이 나타났다. 이는 식품의 복잡하고 미묘한 향만을 객관적으로 관찰 한 것으로 향후 맛의 차이에 대한 연구도 병행되어야 할 듯 하다.