• Title/Summary/Keyword: 주성분 분석법

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Indian Buffet Process Inspired Component Analysis for fMRI Data (fMRI 데이터에 적용한 인디언 뷔페 프로세스 닮은 성분 분석법)

  • Kim, Joon-Shik;Kim, Eun-Sol;Lim, Byoung-Kwon;Lee, Chung-Yeon;Zhang, Byoung-Tak
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06c
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    • pp.191-194
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    • 2011
  • 문서를 이루는 단어들의 빈도수가 지수법칙(power law)를 따른다는 지프의 법칩(Zipf's law)이 있다. 이러한 단어분포를 고려하여 문서의 토픽을 찾아내는 기계학습법이 디리쉴레 프로세스(Dirichlet process) 이다. 이를 발전시켜서 데이터의 잠재 요인(latent factor)들을 베이즈 확률모델에 기반한 샘플링 바탕으로 찾는 방법이 인디언 뷔페 과정(Indian buffet process) 이다. 우리는 25가지의 특징(feature)들에 대한 점수(rating)들이 볼드(blood oxygen dependent level) 신호와 함께 주어지는 PBAIC 2007 데이터에 주성분 분석법(principal component analysis)를 적용했다. PBAIC 2007 데이터는 비디오 게임을 수행하며 기능적뇌영상(functional magnetic resonance imaging, fMRI) 촬영을 하여 얻어진 공개데이터이다. 우리의 연구에서는 주성분 분석법을 이용하여 10개의 독립 성분(independent component)들을 찾았다. 그리고 1.75초 마다 촬영된 BOLD 신호와 10개의 고유벡터(eigenvector)들간의 내적을 취하여 가중치(weight)를 구하였다. 성분들의 가중치를 낮은 순서로 정렬함으로써 각 시간마다 주도적으로 영향을 미치는 성분들을 알아낼 수 있었다.

Classification of Korean Ancient Glass Pieces by Pattern Recognition Method (패턴인지법에 의한 한국산 고대 유리제품의 분류)

  • Lee Chul;Czae Myung-Zoon;Kim Seungwon;Kang Hyung Tae;Lee Jong Du
    • Journal of the Korean Chemical Society
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    • v.36 no.1
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    • pp.113-124
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    • 1992
  • The pattern recognition methods of chemometrics have been applied to multivariate data, for which ninety four Korean ancient glass pieces have been determined for 12 elements by neutron activation analysis. For the purpose, principal component analysis and non-linear mapping have been used as the unsupervised learning methods. As the result, the glass samples have been classified into 6 classes. The SIMCA (statistical isolinear multiple component analysis), adopted as a supervised learning method, has been applied to the 6 training set and the test set. The results of the 6 training set were in accord with the results by principal component analysis and non-linear mapping. For test set, 17 of 33 samples were each allocated to one of the 6 training set.

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

  • Kim, Sang-Min;Oh, Kwang-Sik;Park, Hee-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.1
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    • pp.113-118
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    • 1996
  • Principal component analysis(PCA) is an essential technique for data compression and feature extraction, and has been widely used in statistical data analysis, communication theory, pattern recognition, and image processing. Oja(1992) found that a linear neuron with constrained Hebbian learning rule can extract the principal component by using stochastic gradient ascent method. In practice real data often contain some outliers. These outliers will significantly deteriorate the performances of the PCA algorithms. In order to make PCA robust, Xu & Yuille(1995) applied statistical physics to the problem of robust principal component analysis(RPCA). Devlin et.al(1981) obtained principal components by using techniques such as M-estimation. The propose of this paper is to investigate from the statistical point of view how Xu & Yuille's(1995) RPCA works under the same simulation condition as in Devlin et.al(1981).

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Robust Primary-ambient Signal Decomposition Method using Principal Component Analysis with Phase Alignment (위상 정렬을 이용한 주성분 분석법의 강인한 스테레오 음원 분리 성능유지 기법)

  • Baek, Yong-Hyun;Hyun, Dong-Il;Park, Young-Cheol
    • Journal of Broadcast Engineering
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    • v.19 no.1
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    • pp.64-74
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    • 2014
  • The primary and ambient signal decomposition of a stereo sound is a key step to the stereo upmix. The principal component analysis (PCA) is one of the most widely used methods of primary-ambient signal decomposition. However, previous PCA-based decomposition algorithms assume that stereo sound sources are only amplitude-panned without any consideration of phase difference. So it occurs some performance degradation in case of live recorded stereo sound. In this paper, we propose a new PCA-based stereo decomposition algorithm that can consider the phase difference between the channel signals. The proposed algorithm overcomes limitation of conventional signal model using PCA with phase alignment. The phase alignment is realized by using inter-channel phase difference (IPD) which is widely used in parametric stereo coding. Moreover, Enhanced Modified PCA(EMPCA) is combined to solve the problem of conventional PCA caused by Primary to Ambient energy Ratio(PAR) and panning angle dependency. The simulation results are presented to show the improvements of the proposed algorithm.

Principal Component Analysis of Higher-Order Hyperedges in EEG Data (EEG 데이터의 고차원 하이퍼에지에서의 주성분 분석)

  • Kim, Joon-Shik;Lee, Chung-Yeon;Zhang, Byoung-Tak
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06b
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    • pp.414-416
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    • 2012
  • 고차 주성분 방법으로는 텐서 분석이 있었다. Electroencephalography(EEG) 데이터나 Social Network 데이터에 텐서 분석이 적용되어 주요한 성분들을 찾는 연구들이 있었다. 그러나 텐서 분석은 직관적으로 이해하기에 어려움이 있으며 중요한 노드를 찾는데에는 다소 어려움이 있다. 본 논문에서는 고차 하이퍼에지로 이차원 행렬을 만들고 주성분분석법을 이용하여 중요한 노드를 찾는 새로운 방법론을 제시한다. 데이터로는 Multimodal Memory Game(MMG) 수행시 촬영한 EEG 데이터를 사용하였다. MMG는 TV 드라마 기반의 기억인출게임이다. 베타파의 Power Spectrum Density(PSD)는 각 위치의 채널들의 활성도를 나타내는 지표이다. 우리는 Random Sampling을 바탕으로 PSD 상위 50%의 채널들간의 전이행렬을 구하였다. 그 후 고유치와 고유벡터를 구하였다. 가장 큰 고유치의 고유벡터는 주성분을 나타내며 고유벡터의 각 원소들은 중요도를 나타내는 centrality 이다. 세 명의 피험자에 대한 centrality 상위 30개의 중요한 채널들을 구하였고 세명에 공통적으로 포함되는 채널을 확인하였다.

Emotion Recognition and Expression using Facial Expression (얼굴표정을 이용한 감정인식 및 표현 기법)

  • Ju, Jong-Tae;Park, Gyeong-Jin;Go, Gwang-Eun;Yang, Hyeon-Chang;Sim, Gwi-Bo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.295-298
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    • 2007
  • 본 논문에서는 사람의 얼굴표정을 통해 4개의 기본감정(기쁨, 슬픔, 화남, 놀람)에 대한 특징을 추출하고 인식하여 그 결과를 이용하여 감정표현 시스템을 구현한다. 먼저 주성분 분석(Principal Component Analysis)법을 이용하여 고차원의 영상 특징 데이터를 저차원 특징 데이터로 변환한 후 이를 선형 판별 분석(Linear Discriminant Analysis)법에 적용시켜 좀 더 효율적인 특징벡터를 추출한 다음 감정을 인식하고, 인식된 결과를 얼굴 표현 시스템에 적용시켜 감정을 표현한다.

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Landmine Recognition System using principal component analysis (주성분 분석법을 이용한 지뢰인식 시스템)

  • Yi, Doe-Heon;Shin, Young-Suk
    • Proceedings of the Korean Information Science Society Conference
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    • 2007.06c
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    • pp.427-431
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    • 2007
  • 차세대 지뢰탐지 기술로는 NQR(Nuclear Quadrupole Resonance, 핵4중극자공명), GPR(Ground Penetrating Radar, 지상 침투 레이더)등 이 연구 및 개발 중 이다. 현재 우리나라에서도 이중 GPR을 차세대 지뢰탐지 기술로 연구중에 있다. 그렇지만 지금까지 개발된 GPR 기술을 적용한 지뢰탐지기는 얻어진 2차원 영상에 대해서 육안에 의한 식별만이 가능하여 지뢰 식별이 장시간 소요된다는 단점을 가지고 있다. 이에 본 논문에서는 그러한 문제를 해결하기 위해 주성분 분석법을 적용하여 해결하고, 제안된 시스템이 가능한지 확인하기 위해 유사한 실험 환경을 구성하고, 얻어진 영상을 학습시켜 실제로 얻어진 영상에 대한 분류가 가능한지를 확인하였다.

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Forensic Classification of Latent Fingerprints Applying Laser-induced Plasma Spectroscopy Combined with Chemometric Methods (케모메트릭 방법과 결합된 레이저 유도 플라즈마 분광법을 적용한 유류 지문의 법의학적 분류 연구)

  • Yang, Jun-Ho;Yoh, Jai-Ick
    • Korean Journal of Optics and Photonics
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    • v.31 no.3
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    • pp.125-133
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    • 2020
  • An innovative method for separating overlapping latent fingerprints, using laser-induced plasma spectroscopy (LIPS) combined with multivariate analysis, is reported in the current study. LIPS provides the capabilities of real-time analysis and high-speed scanning, as well as data regarding the chemical components of overlapping fingerprints. These spectra provide valuable chemical information for the forensic classification and reconstruction of overlapping latent fingerprints, by applying appropriate multivariate analysis. This study utilizes principal-component analysis (PCA) and partial-least-squares (PLS) techniques for the basis classification of four types of fingerprints from the LIPS spectra. The proposed method is successfully demonstrated through a classification example of four distinct latent fingerprints, using discrimination such as soft independent modeling of class analogy (SIMCA) and partial-least-squares discriminant analysis (PLS-DA). This demonstration develops an accuracy of more than 85% and is proven to be sufficiently robust. In addition, by laser-scanning analysis at a spatial interval of 125 ㎛, the overlapping fingerprints were separated as two-dimensional forms.

Missing Value Estimation and Sensor Fault Identification using Multivariate Statistical Analysis (다변량 통계 분석을 이용한 결측 데이터의 예측과 센서이상 확인)

  • Lee, Changkyu;Lee, In-Beum
    • Korean Chemical Engineering Research
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    • v.45 no.1
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    • pp.87-92
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    • 2007
  • Recently, developments of process monitoring system in order to detect and diagnose process abnormalities has got the spotlight in process systems engineering. Normal data obtained from processes provide available information of process characteristics to be used for modeling, monitoring, and control. Since modern chemical and environmental processes have high dimensionality, strong correlation, severe dynamics and nonlinearity, it is not easy to analyze a process through model-based approach. To overcome limitations of model-based approach, lots of system engineers and academic researchers have focused on statistical approach combined with multivariable analysis such as principal component analysis (PCA), partial least squares (PLS), and so on. Several multivariate analysis methods have been modified to apply it to a chemical process with specific characteristics such as dynamics, nonlinearity, and so on.This paper discusses about missing value estimation and sensor fault identification based on process variable reconstruction using dynamic PCA and canonical variate analysis.

RPCA-GMM for Speaker Identification (화자식별을 위한 강인한 주성분 분석 가우시안 혼합 모델)

  • 이윤정;서창우;강상기;이기용
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.7
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    • pp.519-527
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    • 2003
  • Speech is much influenced by the existence of outliers which are introduced by such an unexpected happenings as additive background noise, change of speaker's utterance pattern and voice detection errors. These kinds of outliers may result in severe degradation of speaker recognition performance. In this paper, we proposed the GMM based on robust principal component analysis (RPCA-GMM) using M-estimation to solve the problems of both ouliers and high dimensionality of training feature vectors in speaker identification. Firstly, a new feature vector with reduced dimension is obtained by robust PCA obtained from M-estimation. The robust PCA transforms the original dimensional feature vector onto the reduced dimensional linear subspace that is spanned by the leading eigenvectors of the covariance matrix of feature vector. Secondly, the GMM with diagonal covariance matrix is obtained from these transformed feature vectors. We peformed speaker identification experiments to show the effectiveness of the proposed method. We compared the proposed method (RPCA-GMM) with transformed feature vectors to the PCA and the conventional GMM with diagonal matrix. Whenever the portion of outliers increases by every 2%, the proposed method maintains almost same speaker identification rate with 0.03% of little degradation, while the conventional GMM and the PCA shows much degradation of that by 0.65% and 0.55%, respectively This means that our method is more robust to the existence of outlier.