• 제목/요약/키워드: canonical corresponding analysis

검색결과 19건 처리시간 0.029초

Selection of Canonical Factors in Second Order Response Surface Models

  • Park, Sung H.;Seong K. Han
    • Journal of the Korean Statistical Society
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    • 제30권4호
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    • pp.585-595
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    • 2001
  • A second-order response surface model is often used to approximate the relationship between a response factor and a set of explanatory factors. In this article, we deal with canonical analysis in response surface models. For the interpretation of the geometry of second-order response surface model, standard errors and confidence intervals for the eigenvalues of the second-order coefficient matrix play an important role. If the confidence interval for some eigenvalue includes 0 or the estimate of some eigenvalue is very small (near to 0) with respect to other eigenvalues, then we are able to delete the corresponding canonical factor. We propose a formulation of criterion which can be used to select canonical factors. This criterion is based on the IMSE(=Integrated Mean Squared Error). As a result of this method, we may approximately write the canonical factors as a set of some important explanatory factors.

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Quantification Plots for Several Sets of Variables

  • Park, Mira;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • 제25권4호
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    • pp.589-601
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    • 1996
  • Geometric approach to extend the classical two-set theory of canonical correlation analysis to three or more sets is considered. It provides statistical graphs to represent the data in a low dimensional space. Procedures are developed for computing the canonical variables and the corresponding properties are investigated. The solution is equivalent to that of the usual problem in the case of two sets. Goodness-of-fit of the proposed plots is studied and a numerical example is included.

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Canonical correlation analysis based fault diagnosis method for structural monitoring sensor networks

  • Huang, Hai-Bin;Yi, Ting-Hua;Li, Hong-Nan
    • Smart Structures and Systems
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    • 제17권6호
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    • pp.1031-1053
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    • 2016
  • The health conditions of in-service civil infrastructures can be evaluated by employing structural health monitoring technology. A reliable health evaluation result depends heavily on the quality of the data collected from the structural monitoring sensor network. Hence, the problem of sensor fault diagnosis has gained considerable attention in recent years. In this paper, an innovative sensor fault diagnosis method that focuses on fault detection and isolation stages has been proposed. The dynamic or auto-regressive characteristic is firstly utilized to build a multivariable statistical model that measures the correlations of the currently collected structural responses and the future possible ones in combination with the canonical correlation analysis. Two different fault detection statistics are then defined based on the above multivariable statistical model for deciding whether a fault or failure occurred in the sensor network. After that, two corresponding fault isolation indices are deduced through the contribution analysis methodology to identify the faulty sensor. Case studies, using a benchmark structure developed for bridge health monitoring, are considered in the research and demonstrate the superiority of the new proposed sensor fault diagnosis method over the traditional principal component analysis-based and the dynamic principal component analysis-based methods.

로그-합 규준화와 정준형 상관 분석을 이용한 시간 지연 추정에 관한 연구 (A time delay estimation method using canonical correlation analysis and log-sum regularization)

  • 임준석;편용국;이석진;정명준
    • 한국음향학회지
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    • 제36권4호
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    • pp.279-284
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    • 2017
  • 음원 위치 추정은 여러 방면에서 쓰임이 있는 응용 기술이다. 음원의 위치를 추정하기 위한 기본 기법 중에는 시간 지연 추정 기법이 있다. 이 기법에선 음원의 위치를 추정하기 위해서 두 개 또는 그 이상의 수신기에 들어오는 신호간의 상대적 시간 지연을 알아내야 한다. 시간 지연 추정 기법에는 일반화 된 상호 상관(Generalized Cross-Correlation, GCC) 대표적이지만, 정준형 상관 분석(Canonical Correlation Analysis, CCA)을 이용한 방법도 있다. 본 논문에서는 시간 지연 추정용 정준형 상관 분석의 고유벡터의 희소성을 이용하기 위해 새로운 알고리즘을 제안한다. 이를 위해서 로그-합(log-sum) 정규화를 이용한다. 본 논문에서는 서로 다른 여러 신호 대 잡음비 환경 하에서 비교 모의실험을 하였고, 이 비교 실험을 통하여 얻는 데이터를 통해서 제안한 새 정준형 상관 분석 기반 알고리즘이 이전의 정준형 상관분석 기반 알고리즘이나 기존 GCC보다 더 우수하다는 것을 보인다.

Correlation Analysis between Regulatory Sequence Motifs and Expression Profiles by Kernel CCA

  • Rhee, Je-Keun;Joung, Je-Gun;Chang, Jeong-Ho;Zhang, Byoung-Tak
    • 한국생물정보학회:학술대회논문집
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    • 한국생물정보시스템생물학회 2005년도 BIOINFO 2005
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    • pp.63-68
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    • 2005
  • Transcription factors regulate gene expression by binding to gene upstream region. Each transcription factor has the specific binding site in promoter region. So the analysis of gene upstream sequence is necessary for understanding regulatory mechanism of genes, under a plausible idea that assumption that DNA sequence motif profiles are closely related to gene expression behaviors of the corresponding genes. Here, we present an effective approach to the analysis of the relation between gene expression profiles and gene upstream sequences on the basis of kernel canonical correlation analysis (kernel CCA). Kernel CCA is a useful method for finding relationships underlying between two different data sets. In the application to a yeast cell cycle data set, it is shown that gene upstream sequence profile is closely related to gene expression patterns in terms of canonical correlation scores. By the further analysis of the contributing values or weights of sequence motifs in the construction of a pair of sequence motif profiles and expression profiles, we show that the proposed method can identify significant DNA sequence motifs involved with some specific gene expression patterns, including some well known motifs and those putative, in the process of the yeast cell cycle.

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여름철 남해도 연안 식물플랑크톤 군집 구조의 단기 변화 (Short-term Changes of Community Structure of Phytoplankton in Summer Around Namhae Island of Korea)

  • 임월애;강창근;김숙양;이삼근;김학균;정익교
    • ALGAE
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    • 제18권1호
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    • pp.49-58
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    • 2003
  • The short-term dynamics of the summer phytoplankton community structure were investigated in coastal waters around Namhae Island, the Southern Sea of Korea. The study was based on a comprehensive survey constituting 39 collections from 13 stations on July 18-22, August 1-2, 14-16 and 27-30, respectively. The community structure was analysed using cluster analysis and important environmental correlates of the assemblage structure were identified with canonical correspondence analysis (CCA). Water temperature, salinity, NO₂, NO₃, NH₄, PO₄, chlorophyll a and transparency were measured as physico-chemical environmental factors which may be associated with the phytoplankton community structure. Variations of salinity and concentrations of NO₃ and chlorophyll a were not significant. In addition to warmer water temperature, concentrations of NO₂, NO₄and PO₄ decreased at the beginning of August. And transparency was deeper and water column became very unstable after the middle of August. A wide taxonomic diversity was encountered during the survey, including a total of 121 taxa which was composed of 72 diatoms, 48 dinoflagellates and 1 euglenoid species. Cluster analysis showed that the Phytoplankton community could be divided into 4 distinct groups, indicating rapid changes of the community in the short course of this survey. These phytoplankton groups also showed distinctive dispersion patterns in 2-dimensional canonical space, indicating distinct groupings for stations at each survey. Dominant taxa of diatoms (Chaetoceros curvisetus, Chaetoceros spp., Leptocylindrus danicus, Leptocylindrus mediteraneus, Skeletonema costanum, and Pseudo-nitzschia pungen) clustered in region of CCA space corresponding to stations surveyed at the middle of July. Dominant taxa of dinoflagellates were tightly associated with stations surveyed at the middle (Karenia breve) and end (Cochlodinium polykrikoides and Polykrikos schwartzii) of August. The CCA also showed that the phytoplankton community compositions were highly associated with water temperature, transparency, NO₂, NH₄ and PO₄, suggesting that gradients in physical and nutrient conditions affect short-term changes in phytoplankton composition.

함수 근사 모멘트 기법을 활용한 치수 분포에 따른 MEMS 구조물의 통계적 특성치 변화에 관한 연구 (Change of stochastic properties of MEMS structure in terms of dimensional variations using function approximation moment method)

  • 허재성;곽병만
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.602-606
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    • 2005
  • A systematic procedure of probability analysis for general distributions is developed based on the first four moments estimated from polynomial interpolation of the system response function and the Pearson system. The function approximation is based on a specially selected experimental region for accuracy and the number of function evaluations is taken equal to that of the unknown coefficient for efficiency. For this purpose, three error-minimizing conditions are proposed and corresponding canonical experimental regions are formed for popular probability. This approach is applied to study the stochastic properties of the performance functions of a MEMS structure, which has quite large fabrication errors compared to other structures. Especially, the vibratory micro-gyroscope is studied using the statistical moments and probability density function (PDF) of the performance function to be the difference between resonant frequencies corresponding to sensing and driving mode. The results show that it is very sensitive to the fabrication errors and that the types of PDF of each variable also affect the stochastic properties of the performance function although they have same the mean and variance.

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고강도 콘크리트 내화성능 보강인자의 최적반응조건 도출을 위한 정준분석 모델 기준 (Fire Resistance of High Strength Concrete Canonical Analysis Standard for Optimal Response Condition)

  • 김영훈;이문환;이세현;유종수;전준영;류득현
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2009년도 춘계 학술대회 제21권1호
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    • pp.227-228
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    • 2009
  • 본 연구는 80MPa급 고강도콘크리트를 적용한 건축물의 화재시 성능확보를 위한 보강인자 배합사용에 있어 효율적인 내화성능 및 시공성을 확보하기 위한 최적배합비를 도출하고자 하였다. 이를 위한 분석 방법인 반응표면분석을 이용한 과정을 통하여 내화보강인자간의 최적공정조건 도출시 각 물성의 한계 값 설정에 따른 최적배합의 타당성을 검토하고자 하였다.

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Timing analysis for the magnetar-like pulsar, PSR J1119-6127

  • Lin, Chun-Che Lupin;Hui, C.Y.
    • 천문학회보
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    • 제43권1호
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    • pp.55.1-55.1
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    • 2018
  • Studies on rotation-powered pulsars with strong surface magnetic field may help us clarify the unclear link between magnetars and canonical radio pulsars because the magnetar-like emission is expected to be observed. PSR J1119-6127 associated with SNR G292.2-0.5 has a high magnetic field of $4.1{\times}1013$ gauss, and a young characteristic age of ~1700 years can be served as the good candidate to compare with magnetars and rotation-powered pulsars. The glitch accompanied by the radiative changes detected in 2007 is the first case we observed for a rotationally powered radio pulsar. This pulsar experienced magnetar-like outbursts in mid. 2016, similar to the 2006 transition occurred on the other radio-quiet rotation-powered pulsar with strong surface magnetic field, PSR J1846-0258. In this talk, I'll report the investigation with X-ray and gamma-ray data of this magnetar-like pulsar. A sudden decrease in the gamma-ray emission at the GeV band was detected immediately after the X-ray outburst. Accompanying with the disappearance of the radio pulsation, the gamma-ray pulsation cannot be resolved as well after the outburst. We tried to derive the timing behavior and some intriguing features of this pulsar in this work corresponding to the outburst using the Swift data, NuSTAR and XMM observations.

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정준형 상관 분석을 이용한 적응 시간 지연 추정에 관한 연구 (An Adaptive Time Delay Estimation Method Based on Canonical Correlation Analysis)

  • 임준석;홍우영
    • 한국음향학회지
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    • 제32권6호
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    • pp.548-555
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    • 2013
  • 음원 위치 추정은 여러 방면에서 쓰임이 있는 응용 기술이다. 음원의 위치를 추정하기 위한 기본 기법 중에는 시간 지연 추정 기법이 있다. 이 기법에선 음원의 위치를 추정하기 위해서 두 개 또는 그 이상의 수신기에 들어오는 신호간의 상대적 시간 지연을 알아내야 한다. 시간 지연 추정 기법에는 GCC (Generalized Cross-Correlation) 대표적이지만, 최소 고유치에 대응하는 고유 벡터를 이용하는 방법도 많이 쓰인다. 이 방법은 최소 고유치에 해당하는 고유벡터를 이용한다. 최소 고유치에 대응하는 고유 벡터를 이용하는 방법은 낮은 신호 대 잡음비 환경에서나 상관도가 있는 잡음환경에서, 최소 고유치에 해당하는 고유 벡터를 추정하는데 어려움이 있어서, 성능이 떨어진다. 본 논문에서는 정준형 상관 분석 (CCA)를 이용한 새 기법을 제안한다. 이 방법은 일반 고유치 분해 중에서 최대 고유치에 대응하는 고유벡터를 사용한다. 따라서 추정에 사용하는 고유벡터는 시간 지연 추정에 필요한 정보가 충분히 들어있다. 본 논문에서는 여러 서로 다른 신호 대 잡음비 환경 하에서 상관도가 없는 경우와 상관도가 있는 경우의 잡음 에 대해 비교 모의실험을 하였고, 이 비교 실험을 통하여 얻는 데이터를 통해서 제안한 CCA 기반 알고리즘이 기존 최소 고유치에 해당하는 고유벡터를 사용하는 시간 지연 추정법의 성능보다 더 우수하다는 것을 보인다.