• 제목/요약/키워드: Principal component

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Box-Cox 대비변환을 이용한 구성비율자료의 주성분분석 (Principal Component Analysis of Compositional Data using Box-Cox Contrast Transformation)

  • 최병진;김기영
    • 응용통계연구
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    • 제14권1호
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    • pp.137-148
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    • 2001
  • 비율을 나타내는 요소들로 이루어진 구성비율자료는 각 행들의 합이 1이 되는 제약을 가지고 있어 통계적으로 다루기가 쉽지 않다. 더구나 자료의 구조가 선형적인 형태를 보이지 않는 특성을 가지기 때문에 주성분분석과 같은 선형적인 다변량기법들을 구성비율자료에 적용을 할 때 잘못된 해석과 추론이 이루어질 가능성이 있다. 본 논문에서는 구성비율자료의 주성분분석에서 기존의 방법들이 가지는 문제점을 해결하기 위해 Box-Cox 대비변환(Box-Cox contrast transformation)을 이용한 새로운 형태의 분석방법을 제시한다. 그리고 실제자료의 분석과 모의실험을 통해서 Aitchison(1983)이 제시한 방법과 수행능력을 비교하고자 한다.

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분산주성분 분석을 이용한 실내환경 중 PM-10 오염의 패턴분류 (Pattern Classification of PM -10 in the Indoor Environment Using Disjoint Principal Component Analysis)

  • 남보현;황인조;김동술
    • 한국대기환경학회지
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    • 제18권1호
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    • pp.25-37
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    • 2002
  • The purpose of the study was to survey the distribution patterns of inorganic elements of PM-10 in the various indoor environments and analyze the pollution patterns of aerosol in various places of indoor environment using a pattern recognition method based on cluster analysis and disjoint principal component analysis. A total of 40 samples in the indoor had been collected using mini-vol portable samplers. These samples were analyzed for their 19 bulk inorganic compounds such as B, Na, Mg, Al, K, Ca, Ti, V, Cr, Fe, Ni, Cu, Zn, As, Se, Cd, Ba, Ce, and Pb by using an ICP-MS. By applying a disjoint principal component analysis, four patterns of the indoor air pollutions were distinguished. The first pattern was identified as a group with high concentrations of PM-10, Na, Mg, and Ca. The second pattern was identified as a group with high concentrations B, Mg, At, Ca, Fe, Cu, and Ba. The third pattern was a group of sites with high concentrations of K, Zn. Cd. The fourth pattern was a group with low concentrations PM-10 and all inorganic elements. This methodology was found to be helpful enough to set the criteria standard of indoor air quality, corresponding pollutants, and classification of indoor environment categories when making an indoor air quality law.

An eigenspace projection clustering method for structural damage detection

  • Zhu, Jun-Hua;Yu, Ling;Yu, Li-Li
    • Structural Engineering and Mechanics
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    • 제44권2호
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    • pp.179-196
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    • 2012
  • An eigenspace projection clustering method is proposed for structural damage detection by combining projection algorithm and fuzzy clustering technique. The integrated procedure includes data selection, data normalization, projection, damage feature extraction, and clustering algorithm to structural damage assessment. The frequency response functions (FRFs) of the healthy and the damaged structure are used as initial data, median values of the projections are considered as damage features, and the fuzzy c-means (FCM) algorithm are used to categorize these features. The performance of the proposed method has been validated using a three-story frame structure built and tested by Los Alamos National Laboratory, USA. Two projection algorithms, namely principal component analysis (PCA) and kernel principal component analysis (KPCA), are compared for better extraction of damage features, further six kinds of distances adopted in FCM process are studied and discussed. The illustrated results reveal that the distance selection depends on the distribution of features. For the optimal choice of projections, it is recommended that the Cosine distance is used for the PCA while the Seuclidean distance and the Cityblock distance suitably used for the KPCA. The PCA method is recommended when a large amount of data need to be processed due to its higher correct decisions and less computational costs.

주성분 분석을 이용한 기울어진 얼굴에서의 눈동자 검출 (Eye detection on Rotated face using Principal Component Analysis)

  • 최연석;문원호;차의영
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2011년도 춘계학술대회
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    • pp.61-64
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    • 2011
  • 컴퓨터 비전을 이용한 눈동자 추적 기술은 Human-Computer Interface(HCI)의 중요성이 높아짐에 따라 많이 연구되고 있다. 본 논문에서는 HCI 장치를 위한 눈동자 검출 방법을 제안한다. 제안하는 방법은 기울어진 얼굴에서도 눈동자를 검출하기 위해 Principal Component Analysis(PCA) 방법을 이용하여 얼굴의 기울어진 정도를 검출하고 기울어진 정도를 이용하여 눈동자 영역의 위치를 계산한다. 최종적으로 눈 위치의 검출을 위해 눈동자 영역의 밝기 정보를 사용한다. FERET DB의 얼굴영상을 사용하여 실험한 결과, 기울어진 얼굴에서도 눈동자를 효과적으로 검출 할 수 있음을 확인하였다.

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유묘 뿌리썩음병 진전에 따른 이산재배 토양의 유별 (Grouping the Ginseng Field Soil Based on the Development of Root Rot of Ginseng Seedlings)

  • 박규진;박은우;정후섭
    • 한국식물병리학회지
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    • 제13권1호
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    • pp.37-45
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    • 1997
  • Disease incidence (DI), pre-emergence damping-off (PDO), days until the first symptom appeared (DUS), disease progress curve (DPC), and area under disease progress curve (AUDPC) were investigated in vivo after sowing ginseng seeds in each of 37 ginseng-cultivated soils which were sampled from 4 regions in Korea. Non linear fitting parameters, A, B, K and M, were estimated from the Richards' function, one of the disease progress models, by using the DI at each day from the bioassay. Inter- and intra-relationships between disease variables and stand-missing rate (SMR) in fields were investigated by using the simple correlation analysis. Disease variables of the root rot were divided into two groups: variables related to disease incidence, e.g., DI, AUDPC and A parameter, and variables related to disease progress, e.g., B, K and M parameters. DI, AUDPC, and DUS had significant correlations with SMR in ginseng fields, and then it showed that the disease development in vivo corresponded with that in fields. Soil samples could be separated into 3 and 4 groups, respectively, on the basis of the principal component 1 (PC1) and the principal component 2 (PC2), which were derived from the principal component analysis (PCA) of Richards' parameters, A, B, K and M. PC1 accounted for B, K and M parameters, and PC2 accounted for A parameter.

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Probabilistic penalized principal component analysis

  • Park, Chongsun;Wang, Morgan C.;Mo, Eun Bi
    • Communications for Statistical Applications and Methods
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    • 제24권2호
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    • pp.143-154
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    • 2017
  • A variable selection method based on probabilistic principal component analysis (PCA) using penalized likelihood method is proposed. The proposed method is a two-step variable reduction method. The first step is based on the probabilistic principal component idea to identify principle components. The penalty function is used to identify important variables in each component. We then build a model on the original data space instead of building on the rotated data space through latent variables (principal components) because the proposed method achieves the goal of dimension reduction through identifying important observed variables. Consequently, the proposed method is of more practical use. The proposed estimators perform as the oracle procedure and are root-n consistent with a proper choice of regularization parameters. The proposed method can be successfully applied to high-dimensional PCA problems with a relatively large portion of irrelevant variables included in the data set. It is straightforward to extend our likelihood method in handling problems with missing observations using EM algorithms. Further, it could be effectively applied in cases where some data vectors exhibit one or more missing values at random.

주성분 분석과 다중회귀모형을 사용한 자동차 건조 공정의 히트펌프 건조기 소모 전력 분석 (Analyses of Power Consumption of the Heat Pump Dryer in the Automobile Drying Process by using the Principal Component Analysis and Multiple Regression)

  • 이창용;송근수;김진호
    • 산업경영시스템학회지
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    • 제38권1호
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    • pp.143-151
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    • 2015
  • In this paper, we investigate how the power consumption of a heat pump dryer depends on various factors in the drying process by analyzing variables that affect the power consumption. Since there are in general many variables that affect the power consumption, for a feasible analysis, we utilize the principal component analysis to reduce the number of variables (or dimensionality) to two or three. We find that the first component is correlated positively to the entrance temperature of various devices such as compressor, expander, evaporator, and the second, negatively to condenser. We then model the power consumption as a multiple regression with two and/or three transformed variables of the selected principal components. We find that fitted value from the multiple regression explains 80~90% of the observed value of the power consumption. This results can be applied to a more elaborate control of the power consumption in the heat pump dryer.

계절변동의 함수적 예측 (Functional Forecasting of Seasonality)

  • 이긍희
    • 응용통계연구
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    • 제28권5호
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    • pp.885-893
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    • 2015
  • 통계청과 한국은행 등 통계작성기관에서 이용되고 있는 계절조정은 연간 경제통계 작성시 시계열을 예측한 후 계절조정방법을 적용하여 1년 후 계절변동을 예측하고 원통계 작성시 원통계에서 이를 제거하여 계절조정계열을 작성하고 있다. 이 경우 계절변동을 효과적으로 예측하는 것이 계절조정계열의 품질 향상을 위해 무엇보다 중요하다. 계절변동은 1년 단위로 비슷한 함수적 형태를 지니면서 변하므로 계절변동은 일종의 함수적 시계열이다. 함수적 시계열은 함수적 주성분분석을 바탕으로 한 함수적 시계열모형으로 예측할 수 있다. 본 연구에서는 함수적 시계열 모형을 이용하여 향후 1년간 계절변동을 예측하는 방안을 마련하고 X-11 방식 등 기존의 예측방법과 비교하여 유용성을 파악하였다.

Sensor array optimization techniques for exhaled breath analysis to discriminate diabetics using an electronic nose

  • Jeon, Jin-Young;Choi, Jang-Sik;Yu, Joon-Boo;Lee, Hae-Ryong;Jang, Byoung Kuk;Byun, Hyung-Gi
    • ETRI Journal
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    • 제40권6호
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    • pp.802-812
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    • 2018
  • Disease discrimination using an electronic nose is achieved by measuring the presence of a specific gas contained in the exhaled breath of patients. Many studies have reported the presence of acetone in the breath of diabetic patients. These studies suggest that acetone can be used as a biomarker of diabetes, enabling diagnoses to be made by measuring acetone levels in exhaled breath. In this study, we perform a chemical sensor array optimization to improve the performance of an electronic nose system using Wilks' lambda, sensor selection based on a principal component (B4), and a stepwise elimination (SE) technique to detect the presence of acetone gas in human breath. By applying five different temperatures to four sensors fabricated from different synthetic materials, a total of 20 sensing combinations are created, and three sensing combinations are selected for the sensor array using optimization techniques. The measurements and analyses of the exhaled breath using the electronic nose system together with the optimized sensor array show that diabetic patients and control groups can be easily differentiated. The results are confirmed using principal component analysis (PCA).

의복원형설계를 위한 성인여성 두.견부의 형태분류 -20대 여성을 중심으로- (A Study on the Shapes of the Neck and the Shoulder in Dressmaking; young wonen age group)

  • 김희숙
    • 대한가정학회지
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    • 제36권12호
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    • pp.43-54
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    • 1998
  • From the viewpoint of clothing construction, it is necessary to grasp exactly the shapes of the neck and the shouder, such as the line of the neck base, the neck gradient, the shoulder gradient, the shape of the scapular, and the shape of the breast. In this report, factor analysis was applied to 39 items of neck & shoulder level measurements, including stature, weight, but grith, waist girth, to demonstrate the most relevant measurements for collar and bodice pattern designing, and to classify the neck and shoulder level shapes. The subjects investigated were 126 women of the age 20-29. The main results are follows : 1. For factors of body form were extracted by the factor analysis. The 1st principal component can be interpreted as "size" component, the 2nd-3th principal component is "shape" component relating to neck and shoulder level, and the 4th principal component is "shoulder shape" component. 2. With regard to factor loadings, we were able to extract the most relevant measurements for collar and bodice pattern designing. M16, M22, S26, S30, S34, S35, S36, C37, C38, C39.

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