• Title/Summary/Keyword: 정준분석

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A Note on Generalized Canonical Correlation Analysis Via an Extended Redundancy Analysis (중복분석의 확장과 이를 이용한 일반화 정준상관분석)

  • 강현철;김기영
    • The Korean Journal of Applied Statistics
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    • v.13 no.1
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    • pp.105-113
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    • 2000
  • Wollenberg(1977)의 중복분석(redundancy analysis)을 두 개 이상의 변수집단이 주어져 있는 경우로 확장하고, 확장된 중복분석과 일반화 정준상관분석의 관계를 논의하며, 이 관계를 이용하여 새로운 형태의 일반화 정준상관분석을 제안한다.

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Equivalence study of canonical correspondence analysis by weighted principal component analysis and canonical correspondence analysis by Gaussian response model (가중주성분분석을 활용한 정준대응분석과 가우시안 반응 모형에 의한 정준대응분석의 동일성 연구)

  • Jeong, Hyeong Chul
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.945-956
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    • 2021
  • In this study, we considered the algorithm of Legendre and Legendre (2012), which derives canonical correspondence analysis from weighted principal component analysis. And, it was proved that the canonical correspondence analysis based on the weighted principal component analysis is exactly the same as Ter Braak's (1986) canonical correspondence analysis based on the Gaussian response model. Ter Braak (1986)'s canonical correspondence analysis derived from a Gaussian response curve that can explain the abundance of species in ecology well uses the basic assumption of the species packing model and then conducts generalized linear model and canonical correlation analysis. It is derived by way of binding. However, the algorithm of Legendre and Legendre (2012) is calculated in a method quite similar to Benzecri's correspondence analysis without such assumptions. Therefore, if canonical correspondence analysis based on weighted principal component analysis is used, it is possible to have some flexibility in using the results. In conclusion, this study shows that the two methods starting from different models have the same site scores, species scores, and species-environment correlations.

Multivariate Volatility Analysis via Canonical Correlations for Financial Time Series (정준상관분석을 통한 다변량 금융시계열의 변동성 분석)

  • Lee, Seung Yeon;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.27 no.7
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    • pp.1139-1149
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    • 2014
  • Multivariate volatility is summarized through canonical correlation analysis (CCA). Along with the standard CCA, non-negative and sparse canonical correlation analysis (NSCCA) is introduced to make sure that volatility coefficients are non-negative and the number of coefficients in the volatility CCA is as small as possible. Various multivariate financial time series are analyzed to illustrate the main contribution of the paper.

A Study on the Relationship between Physique, Physical Fitness and Basic Skill Factors of Tennis Players in the Korea Tennis Association Using the Generalized Canonical Correlation Biplot and Procrustes Analysis (일반화 정준상관 행렬도와 프로크러스티즈 분석을 응용한 대한테니스협회 등록 선수의 체격요인, 체력요인 및 기초기술요인에 대한 분석연구)

  • Choi, Tae-Hoon;Choi, Yong-Seok
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.917-925
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    • 2010
  • The canonical correlation biplot is a 2-dimensional plot for graphically investigating the relationship between two sets of variables and the relationship between observations and variables in the canonical correlation analysis. Recently, Choi and Choi (2008) suggested a method for investigating the relationship between skill and competition score factors of KLPGA players using this biplot. Choi et al. (2010) used this biplot to analyze the player characteristic factors and competitive factors of tennis Grand Slam competition. Moreover, Huh (1999) provided a generalized canonical correlation analysis and biplot for more than three sets of variables. A Procrustes analysis is a useful tool for comparing shapes between configurations. This study will provide a method to investigate the relationship between physique, physical fitness and basic skill factors of tennis players in the Korea Tennis Association using a generalized canonical correlation biplot and Procrustes analysis.

Segaration of Corrupted Speech Signals using Canonical Correlation Analysis (정준 상관 분석을 이용한 잡음 섞인 음성 신호의 분리)

  • Kim, Seon-Il
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.164-167
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    • 2012
  • The technology which is used for segregating voices signals from exhaust noise signals of a car is very practical one to realize the interfaces between men and machines using voices. The voice signals contaminated by exhaust noise signal of a car was separated by canonical correlation ananysis(CCA) in an environment which does not guarantee the independence between signals and have prior informations. Rearrangement for the input signals is important in CCA. CCA was studied and segragation between source signals were performed by CCA through rearrangements of each of signals. It is possible to apply the technique to various signals since it is also possible to use CCA to the signals which are not independent.

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A Study on the Relationship between Player Characteristic Factors and Competitive Factors of Tennis Grand Slams Competition Using Canonical Correlation Biplot and Procrustes Analysis (테니스 그랜드슬램대회의 선수특성요인과 경기요인에 대한 분석연구 -정준상관 행렬도와 프로크러스티즈 분석의 응용-)

  • Choi, Tae-Hoon;Choi, Yong-Seok;Shin, Sang-Min
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.855-864
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    • 2009
  • Canonical correlation biplot is 2-dimensional plot for investigating the relationship between two sets of variables and the relationship between observations and variables in canonical correlation analysis graphically. Recently, Choi and Choi (2008) suggested a method for investigating the relationship between skill and competition score factors of KLPGA players using canonical correlation biplot and cluster analysis. analysis. Procrustes analysis is very useful tool for comparing shape between configurations. Therefore, in this study, we will provide a method for investigating the relationship between player characteristic factors and competitive factors of tennis grand slams competition using Canonical correlation biplot and Procrustes analysis.

A Study on the Relationship between Skill and Competition Score Factors of KLPGA Players Using Canonical Correlation Biplot and Cluster Analysis (정준상관 행렬도와 군집분석을 응용한 KLPGA 선수의 기술과 경기성적요인에 대한 연관성 분석)

  • Choi, Tae-Hoon;Choi, Yong-Seok
    • The Korean Journal of Applied Statistics
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    • v.21 no.3
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    • pp.429-439
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    • 2008
  • Canonical correlation biplot is 2-dimensional plot for investigating the relationship between two sets of variables and the relationship between observations and variables in canonical correlation analysis graphically. In general, biplot is useful for giving a graphical description of the data. However, this general biplot and also canonical correlation biplot do not give some concise interpretations between variables and observations when the number of observations are large. Recently, for overcoming this problem, Choi and Kim (2008) suggested a method to interpret the biplot analysis by applying the K-means clustering analysis. Therefore, in this study, we will apply their method for investigating the relationship between skill and competition score factors of KLPGA players using canonical correlation biplot and cluster analysis.

A comparison study of canonical methods: Application to -Omics data (오믹스 자료를 이용한 정준방법 비교)

  • Seungsoo Lee;Eun Jeong Min
    • The Korean Journal of Applied Statistics
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    • v.37 no.2
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    • pp.157-176
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    • 2024
  • Integrative analysis for better understanding of complex biological systems gains more attention. Observing subjects from various perspectives and conducting integrative analysis of those multiple datasets enables a deeper understanding of the subject. In this paper, we compared two methods that simultaneously consider two datasets gathered from the same objects, canonical correlation analysis (CCA) and co-inertia analysis (CIA). Since CCA cannot handle the case when the data exhibit high-dimensionality, two strategies were considered instead: Utilization of a ridge constant (CCA-ridge) and substitution of covariance matrices of each data to identity matrix and then applying penalized singular value decomposition (CCA-PMD). To illustrate CIA and CCA, both extensions of CCA and CIA were applied to NCI60 cell line data. It is shown that both methods yield biologically meaningful and significant results by identifying important genes that enhance our comprehension of the data. Their results shows some dissimilarities arisen from the different criteria used to measure the relationship between two sets of data in each method. Additionally, CIA exhibits variations dependent on the weight matrices employed.

Development of Classification Method for the Remote Sensing Digital Image Using Canonical Correlation Analysis (정준상관분석을 이용한 원격탐사 수치화상 분류기법의 개발 : 무감독분류기법과 정준상관분석의 통합 알고리즘)

  • Kim, Yong-Il;Kim, Dong-Hyun;Park, Min-Ho
    • Journal of Korean Society for Geospatial Information Science
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    • v.4 no.2 s.8
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    • pp.181-193
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    • 1996
  • A new technique for land cover classification which applies digital image pre-classified by unsupervised classification technique, clustering, to Canonical Correlation Analysis(CCA) was proposed in this paper. Compared with maximum likelihood classification, the proposed technique had a good flexibility in selecting training areas. This implies that any selected position of training areas has few effects on classification results. Land cover of each cluster designated by CCA after clustering is able to be used as prior information for maximum likelihood classification. In case that the same training areas are used, accuracy of classification using Canonical Correlation Analysis after cluster analysis is better than that of maximum likelihood classification. Therefore, a new technique proposed in this study will be able to be put to practical use. Moreover this will play an important role in the construction of GIS database

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