• 제목/요약/키워드: Principal components analysis (PCA)

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주성분 분석법을 이용한 머리전달함수 모형화 기법의 성능 비교 (Comparison of head-related transfer function models based on principal components analysis)

  • 황성목;박영진;박윤식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.920-927
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    • 2008
  • This study deals with modeling of Head-Related Transfer Functions (HRTFs) using Principal Components Analysis (PCA) in the time and frequency domains. Four PCA models based on Head-Related Impulse Responses (HRIRs), complex-valued HRTFs, augmented HRTFs, and log-magnitudes of HRTFs are investigated. The objective of this study is to compare modeling performances of the PCA models in the least-squares sense and to show the theoretical relationship between the PCA models. In terms of the number of principal components needed for modeling, the PCA model based on HRIR or augmented HRTFs showed more efficient modeling performance than the PCA model based on complex-valued HRTFs. The PCA model based on HRIRs in the time domain and that based on augmented HRTFs in the frequency domain are shown to be theoretically equivalent. Modeling performance of the PCA model based on log-magnitudes of HRTFs cannot be compared with that of other PCA models because the PCA model deals with log-scaled magnitude components only, whereas the other PCA models consider both magnitude and phase components in linear scale.

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Principal Component Analysis Based Two-Dimensional (PCA-2D) Correlation Spectroscopy: PCA Denoising for 2D Correlation Spectroscopy

  • Jung, Young-Mee
    • Bulletin of the Korean Chemical Society
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    • 제24권9호
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    • pp.1345-1350
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    • 2003
  • Principal component analysis based two-dimensional (PCA-2D) correlation analysis is applied to FTIR spectra of polystyrene/methyl ethyl ketone/toluene solution mixture during the solvent evaporation. Substantial amount of artificial noise were added to the experimental data to demonstrate the practical noise-suppressing benefit of PCA-2D technique. 2D correlation analysis of the reconstructed data matrix from PCA loading vectors and scores successfully extracted only the most important features of synchronicity and asynchronicity without interference from noise or insignificant minor components. 2D correlation spectra constructed with only one principal component yield strictly synchronous response with no discernible a asynchronous features, while those involving at least two or more principal components generated meaningful asynchronous 2D correlation spectra. Deliberate manipulation of the rank of the reconstructed data matrix, by choosing the appropriate number and type of PCs, yields potentially more refined 2D correlation spectra.

잡음 민감성이 개선된 퍼지 주성분 분석 (An Improved Robust Fuzzy Principal Component Analysis)

  • 허경용;우영운;김성훈
    • 한국정보통신학회논문지
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    • 제14권5호
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    • pp.1093-1102
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    • 2010
  • 주성분 분석(PCA)은 데이터의 차원을 줄이면서 최대의 데이터 변이를 보존하는 기법으로 차원 축소나 피처 추출을 위해 널리 사용되고 있다. 하지만 PCA는 잡음에 민감한 단점이 있으며, 이러한 잡음 민감성을 해결하기 위해 여러 가지 PCA 변형이 제안되었다. 그 중 robust fuzzy PCA(RF-PCA)는 퍼지 소속도를 사용하여 잡음의 영향을 효과적으로 줄일 수 있음이 입증되었다. 하지만 RF-PCA 역시 몇 가지 문제점이 있고, 수렴성이 그 중 하나이다. RF-PCA는 소속도와 주성분을 갱신할 때 서로 다른 목적 함수를 사용하므로 수렴 속도가 느리고 구해지는 해가 국부 최적 해임을 보장하지 않는다. 이 논문에서는 RF-PCA의 문제점을 해결하기 위해 하나의 목적 함수를 이용해 소속도와 주성분을 갱신할 수 있는 방법을 제안한다. 제안한 방법, RF-PCA2는 반복 최적화를 이용함으로써 국부 최적해에 수렴함을 보장하며, RF-PCA에 비해 빠른 수렴 속도를 가지고, 잡음 민감성이 줄어든다. 이러한 사실들은 실험 결과를 통해 확인할 수 있다.

주성분 분석을 위한 새로운 EM 알고리듬 (New EM algorithm for Principal Component Analysis)

  • 안종훈;오종훈
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2001년도 봄 학술발표논문집 Vol.28 No.1 (B)
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    • pp.529-531
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    • 2001
  • We present an expectation-maximization algorithm for principal component analysis via orthogonalization. The algorithm finds actual principal components, whereas previously proposed EM algorithms can only find principal subspace. New algorithm is simple and more efficient thant probabilistic PCA specially in noiseless cases. Conventional PCA needs computation of inverse of the covariance matrices, which makes the algorithm prohibitively expensive when the dimensions of data space is large. This EM algorithm is very powerful for high dimensional data when only a few principal components are needed.

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

  • 이영숙;기대욱
    • 한국멀티미디어학회논문지
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    • 제23권12호
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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.

Face recognition by PLS

  • Baek, Jang-Sun
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 추계 학술발표회 논문집
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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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주성분 보유수에 따른 중요 용어 추출의 비교 (Comparison of Significant Term Extraction Based on the Number of Selected Principal Components)

  • 이창범;옥철영;박혁로
    • 정보처리학회논문지B
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    • 제13B권3호
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    • pp.329-336
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    • 2006
  • 문서를 구성하는 단어들은 서로 연관이 있다는 정보를 충분히 이용할 수 있는 다변량 분석 방법 중, 주성분분석(Principal Component Analysis)을 이용하여 중요 용어를 추출하고자 한다. 본 논문에서는 주성분분석의 분석 대상을 용어 사이의 공분산행렬이 아닌 상관행렬을 이용한다. 그리고, 중요 용어를 추출하기 위해서, 보유해야 할 주성분 개수와 주성분과 용어 사이의 상관계수에 대한 최적의 임계치를 찾고자 한다. 283건의 신문기사를 대상으로, 추출된 용어에 기반한 문장 추출 실험 결과, 첫 6개까지의 주성분과 상관계수 |0.4|라는 조건에서 가장 좋은 성능을 보였다.

Utilizing Principal Component Analysis in Unsupervised Classification Based on Remote Sensing Data

  • Lee, Byung-Gul;Kang, In-Joan
    • 한국환경과학회:학술대회논문집
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    • 한국환경과학회 2003년도 International Symposium on Clean Environment
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    • pp.33-36
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    • 2003
  • Principal component analysis (PCA) was used to improve image classification by the unsupervised classification techniques, the K-means. To do this, I selected a Landsat TM scene of Jeju Island, Korea and proposed two methods for PCA: unstandardized PCA (UPCA) and standardized PCA (SPCA). The estimated accuracy of the image classification of Jeju area was computed by error matrix. The error matrix was derived from three unsupervised classification methods. Error matrices indicated that classifications done on the first three principal components for UPCA and SPCA of the scene were more accurate than those done on the seven bands of TM data and that also the results of UPCA and SPCA were better than those of the raw Landsat TM data. The classification of TM data by the K-means algorithm was particularly poor at distinguishing different land covers on the island. From the classification results, we also found that the principal component based classifications had characteristics independent of the unsupervised techniques (numerical algorithms) while the TM data based classifications were very dependent upon the techniques. This means that PCA data has uniform characteristics for image classification that are less affected by choice of classification scheme. In the results, we also found that UPCA results are better than SPCA since UPCA has wider range of digital number of an image.

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식생이 무성한 지역에서의 Principal Component Analysis 에 의한 Landsat TM 자료의 광역지질도 작성 (Regional Geological Mapping by Principal Component Analysis of the Landsat TM Data in a Heavily Vegetated Area)

  • 朴鍾南;徐延熙
    • 대한원격탐사학회지
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    • 제4권1호
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    • pp.49-60
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    • 1988
  • Principal Component Analysis (PCA) was applied for regional geological mapping to a multivariate data set of the Landsat TM data in the heavily vegetated and topographically rugged Chungju area. The multivariate data set selection was made by statistical analysis based on the magnitude of regression of squares in multiple regression, and it includes R1/2/R3/4, R2/3, R5/7/R4/3, R1/2, R3/4. R4/3. AND R4/5. As a result of application of PCA, some of later principal components (in this study PC 3 and PC 5) are geologically more significant than earlier major components, PC 1 and PC 2 herein. The earlier two major components which comprise 96% of the total information of the data set, mainly represent reflectance of vegetation and topographic effects, while though the rest represent 3% of the total information which statistically indicates the information unstable, geological significance of PC3 and PC5 in the study implies that application of the technique in more favorable areas should lead to much better results.

A Hilbert-Huang Transform Approach Combined with PCA for Predicting a Time Series

  • Park, Min-Jeong
    • 응용통계연구
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    • 제24권6호
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    • pp.995-1006
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    • 2011
  • A time series can be decomposed into simple components with a multiscale method. Empirical mode decomposition(EMD) is a recently invented multiscale method in Huang et al. (1998). It is natural to apply a classical prediction method such a vector autoregressive(AR) model to the obtained simple components instead of the original time series; in addition, a prediction procedure combining a classical prediction model to EMD and Hilbert spectrum is proposed in Kim et al. (2008). In this paper, we suggest to adopt principal component analysis(PCA) to the prediction procedure that enables the efficient selection of input variables among obtained components by EMD. We discuss the utility of adopting PCA in the prediction procedure based on EMD and Hilbert spectrum and analyze the daily worm account data by the proposed PCA adopted prediction method.