• Title/Summary/Keyword: principal components analysis

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Algorithm for Finding the Best Principal Component Regression Models for Quantitative Analysis using NIR Spectra (근적외 스펙트럼을 이용한 정량분석용 최적 주성분회귀모델을 얻기 위한 알고리듬)

  • Cho, Jung-Hwan
    • Journal of Pharmaceutical Investigation
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    • v.37 no.6
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    • pp.377-395
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    • 2007
  • Near infrared(NIR) spectral data have been used for the noninvasive analysis of various biological samples. Nonetheless, absorption bands of NIR region are overlapped extensively. It is very difficult to select the proper wavelengths of spectral data, which give the best PCR(principal component regression) models for the analysis of constituents of biological samples. The NIR data were used after polynomial smoothing and differentiation of 1st order, using Savitzky-Golay filters. To find the best PCR models, all-possible combinations of available principal components from the given NIR spectral data were derived by in-house programs written in MATLAB codes. All of the extensively generated PCR models were compared in terms of SEC(standard error of calibration), $R^2$, SEP(standard error of prediction) and SECP(standard error of calibration and prediction) to find the best combination of principal components of the initial PCR models. The initial PCR models were found by SEC or Malinowski's indicator function and a priori selection of spectral points were examined in terms of correlation coefficients between NIR data at each wavelength and corresponding concentrations. For the test of the developed program, aqueous solutions of BSA(bovine serum albumin) and glucose were prepared and analyzed. As a result, the best PCR models were found using a priori selection of spectral points and the final model selection by SEP or SECP.

Abnormality Detection to Non-linear Multivariate Process Using Supervised Learning Methods (지도학습기법을 이용한 비선형 다변량 공정의 비정상 상태 탐지)

  • Son, Young-Tae;Yun, Deok-Kyun
    • IE interfaces
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    • v.24 no.1
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    • pp.8-14
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    • 2011
  • Principal Component Analysis (PCA) reduces the dimensionality of the process by creating a new set of variables, Principal components (PCs), which attempt to reflect the true underlying process dimension. However, for highly nonlinear processes, this form of monitoring may not be efficient since the process dimensionality can't be represented by a small number of PCs. Examples include the process of semiconductors, pharmaceuticals and chemicals. Nonlinear correlated process variables can be reduced to a set of nonlinear principal components, through the application of Kernel Principal Component Analysis (KPCA). Support Vector Data Description (SVDD) which has roots in a supervised learning theory is a training algorithm based on structural risk minimization. Its control limit does not depend on the distribution, but adapts to the real data. So, in this paper proposes a non-linear process monitoring technique based on supervised learning methods and KPCA. Through simulated examples, it has been shown that the proposed monitoring chart is more effective than $T^2$ chart for nonlinear processes.

Combination rules and critical seismic response of steel buildings modeled as complex MDOF systems

  • Reyes-Salazar, Alfredo;Valenzuela-Beltran, Federico;de Leon-Escobedo, David;Bojorquez-Mora, Eden;Barraza, Arturo Lopez
    • Earthquakes and Structures
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    • v.10 no.1
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    • pp.211-238
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    • 2016
  • The Maximum seismic responses of steel buildings with perimeter moment resisting frames (MRF), modeled as complex MDOF systems, are estimated for several incidence angles of the horizontal components and the critical one is identified. The accuracy of the existing rules to combine the effects of the individual components is also studied. Two and three components are considered. The critical response does not occur for principal components and the corresponding incidence angle varies from one earthquake to another. The critical response can be estimated as 1.40 and 1.10 times that of the principal components, for axial load and interstory shears, respectively. The rules underestimate the axial load but reasonably overestimate the shears. The rules are not always inaccurate in the estimation of the combined response for correlated components. On the other hand, totally uncorrelated (principal) components are not always related to an accurate estimation. The correlation of the individual effects (${\rho}$) may be significant, even for principal components. The rules are not always associated to an inaccurate estimation for large values of ${\rho}$, and small values of ${\rho}$ are not always related to an accurate estimation. Only for perfectly uncorrelated harmonic excitations and elastic analysis of SDOF systems, the individual effects of the components are uncorrelated and the rules accurately estimate the combined response. The degree of correlation of the components, the type of structural system, the response parameter under consideration, the location of the structural member and the level of structural deformation must be considered while estimating the level of underestimation or overestimation.

INTERIOR ROAD NOISE ANALYSIS WITH PRINCIPAL COMPONENTS

  • Vandenbroeck, D.;Hendricx, W.
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.854-859
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    • 1994
  • As powertrain noise is better and better controlled, road noise inputs become more important. The interior road noise of a car is mainly induced by the wheels rolling over the road surface. Each of the four wheels act as an independent and uncorrelated excitation input. To rank the energy transfer form each input to the interior, a Transfer Path Analysis (TPA) needs to be made-which requires operational vibration measurements. However due to the multiple uncorrelated inputs, phase relations vary continuously. It is therefore necessary to separate the operational data into set of "independent phenomena" by means of a Principal Component Analysis (PCA). A TPA can then be carried out for each independent phenomenon. Operational deflection shapes referenced to these principal components share the physical phenomena. The details of the methodology are discussed and a discussion of the results on a car shows that the method gives accurate results for full vehicle testing.e testing.

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A Study on the Face Ratio of Mammals Based on Principal Components Analysis (PCA) - Focus on 20 Species of Animals and Humans (주성분분석(PCA)기반 포유류의 얼굴 비율 연구 - 인간과 동물 20종을 중심으로)

  • Lee, Young-suk;Ki, Dae Wook
    • Journal of Korea Multimedia Society
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    • v.23 no.12
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    • pp.1586-1593
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    • 2020
  • This study was conducted on the face ratio of mammals. It can also be applied to character automation by checking factors about the difference between animal and human face shapes. This paper used the face and face area data generated for Deep Learning learning. In detail, the proportion factors of the area comprising the faces of 20 species of animals and humans were defined and the average ratio was calculated. Next, the proportion of each animal was analyzed using the Principal Component Analysis (PCA). Through this, we would like to propose the golden ratio of mammals.

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.

Study of Nonlinear Feature Extraction for Faults Diagnosis of Rotating Machinery (회전기계의 결함진단을 위한 비선형 특징 추출 방법의 연구)

  • Widodo, Achmad;Yang, Bo-Suk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.127-130
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    • 2005
  • There are many methods in feature extraction have been developed. Recently, principal components analysis (PCA) and independent components analysis (ICA) is introduced for doing feature extraction. PCA and ICA linearly transform the original input into new uncorrelated and independent features space respectively In this paper, the feasibility of using nonlinear feature extraction will be studied. This method will employ the PCA and ICA procedure and adopt the kernel trick to nonlinearly map the data into a feature space. The goal of this study is to seek effectively useful feature for faults classification.

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Improving the Subject Independent Classification of Implicit Intention By Generating Additional Training Data with PCA and ICA

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • v.14 no.4
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    • pp.24-29
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    • 2018
  • EEG-based brain-computer interfaces has focused on explicitly expressed intentions to assist physically impaired patients. For EEG-based-computer interfaces to function effectively, it should be able to understand users' implicit information. Since it is hard to gather EEG signals of human brains, we do not have enough training data which are essential for proper classification performance of implicit intention. In this paper, we improve the subject independent classification of implicit intention through the generation of additional training data. In the first stage, we perform the PCA (principal component analysis) of training data in a bid to remove redundant components in the components within the input data. After the dimension reduction by PCA, we train ICA (independent component analysis) network whose outputs are statistically independent. We can get additional training data by adding Gaussian noises to ICA outputs and projecting them to input data domain. Through simulations with EEG data provided by CNSL, KAIST, we improve the classification performance from 65.05% to 66.69% with Gamma components. The proposed sample generation method can be applied to any machine learning problem with fewer samples.

Face recognition by PLS

  • Baek, Jang-Sun
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.69-72
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    • 2003
  • The paper considers partial least squares (PLS) as a new dimension reduction technique for the feature vector to overcome the small sample size problem in face recognition. Principal component analysis (PCA), a conventional dimension reduction method, selects the components with maximum variability, irrespective of the class information. So PCA does not necessarily extract features that are important for the discrimination of classes. PLS, on the other hand, constructs the components so that the correlation between the class variable and themselves is maximized. Therefore PLS components are more predictive than PCA components in classification. The experimental results on Manchester and ORL databases show that PLS is to be preferred over PCA when classification is the goal and dimension reduction is needed.

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The Facebook page communication strategy of high-end fashion department stores in the United States (미국 고급 패션백화점의 페이스북 페이지 커뮤니케이션 전략)

  • Kim, Sunghee
    • Journal of Fashion Business
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    • v.17 no.4
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    • pp.177-190
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    • 2013
  • The purpose of this study is 1) to investigate the types of upscale fashion department stores' Facebook page contents, 2) to compare the types of Facebook page contents with the department stores, and 3) to explore the dimensions of the Facebook page components and their relations. For the study, three preeminent department stores in social media marketing were chosen: Bergdorf Goodman, Barneys New York, and Saks Fifth Avenue. Three hundred sixty five contents of these department stores' pages were investigated, which were uploaded from February 1st to March 31st of 2013. Content analysis, correspondence analysis, and categorical principal component analysis were used for the research. The result showed that there are four important types of contents in pages: product-related contents, fashion-related contents, department stores-related contents, and the contents of communicating with users. And these components of contents were related with department stores distinctively. The two dimensions of the page components were revealed: the basic components (contents, 'like', 'share', and 'comments') and the additional components (links and photos). Among contents, the introduction of products was appealed but news and events were not liked by users; the contents without a photo were not linked to additional information either.