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What is Principal Component Analysis

Handbook of Research on Text and Web Mining Technologies
Rearrangement of the data matrix in new orthogonal transformed variables ordered in decreasing order of variance.
Published in Chapter:
Multitarget Classifiers for Mining in Bioinformatics
Diego Liberati (Istituto di Elettronica e Ingegneria dell’Informazione e delle Telecomunicazioni Consiglio Nazionale delle Ricerche Politecnico di Milano, Italy)
Copyright: © 2009 |Pages: 10
DOI: 10.4018/978-1-59904-990-8.ch038
Abstract
Building effective multitarget classifiers is still an on-going research issue: this chapter proposes the use of the knowledge gleaned from a human expert as a practical way for decomposing and extend the proposed binary strategy. The core is a greedy feature selection approach that can be used in conjunction with different classification algorithms, leading to a feature selection process working independently from any classifier that could then be used. The procedure takes advantage from the Minimum Description Length principle for selecting features and promoting accuracy of multitarget classifiers. Its effectiveness is asserted by experiments, with different state-of-the-art classification algorithms such as Bayesian and Support Vector Machine classifiers, over dataset publicly available on the Web: gene expression data from DNA micro-arrays are selected as a paradigmatic example, containing a lot of redundant features due to the large number of monitored genes and the small cardinality of samples. Therefore, in analysing these data, like in text mining, a major challenge is the definition of a feature selection procedure that highlights the most relevant genes in order to improve automatic diagnostic classification.
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System Theory: From Classical State Space to Variable Selection and Model Identification
Rearrangement of the data matrix in new orthogonal transformed variables ordered in decreasing order of variance.
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Cloud Security Using Ear Biometrics
It is unsupervised dimension reduction approach for large database size. It is used to find the Eigen values for face recognition.
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Machine Learning Through Data Mining
Rearrangement of the data matrix in new orthogonal transformed variables ordered in decreasing order of variance.
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Youth Aspirations Towards Industry 4.0 Job Requirements: The Example of the Serbian Labor Market
– one of the techniques used within factor analysis approach. It reduces the number of variables making them easier for interpretation and visualization. As not requiring strong assumptions with regards to data, it could be useful tool for data exploration and analysis.
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A Metaheuristic Algorithm for OCR Baseline Detection of Arabic Languages
A statistical procedure that uses orthogonal transformation to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components. The number of principal components is less than or equal to the number of original variables. This transformation is defined in such a way that the first principal component has the largest possible variance (that is, accounts for as much of the variability in the data as possible), and each succeeding component in turn has the highest variance possible under the constraint that it is orthogonal to (i.e., uncorrelated with) the preceding components.
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Swarm Intelligence for Biometric Feature Optimization
It is unsupervised dimension reduction approach for large database size. It is used to find the eigen values for face recognition.
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Multivariate Time Series Forecasting of Rainfall Using Machine Learning
When the dataset contains many features, a technique that returns the most important set of features without much loss of information contained in the dataset, is called principal component analysis.
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Hybrid Ensemble Learning Methods for Classification of Microarray Data: RotBagg Ensemble Based Classification
It’s a method of analysis which involves finding the linear combination of a set of variables that has maximum variance and removing its effect and repeating this successively.
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Online Educational Video Recommendation System Analysis
A method often used to reduce the dimensions of a large dataset.
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Information Culture and Effective Use of Information Tools at Work: Conceptualizing and Measuring Group Adoption
A statistical procedure that is used to identify which items in a questionnaire are highly correlated with each other. Clusters of correlated items indicate the presence of an underlying, independent construct or ‘factor’. This procedure can be used to verify expected constructs in a questionnaire, or to discover new ones.
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Neural Networks on Handwritten Signature Verification
A technique used to reduce multidimensional data sets to lower dimensions for analysis. PCA involves the computation of the eigenvalue decomposition of a data set, usually after mean centering the data for each attribute.
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The Influence of Risks Associated With Organizational Factors on Women's Professional Growth During COVID-19 in the UAE
Principal component analysis, or PCA, is a statistical procedure that allows you to summarize the information in large data tables employing a smaller set of “summary indices” that can be more easily visualized and analyzed. In addition, it is a statistical process that transforms the observations of correlated features into a set of linearly uncorrelated components with the help of orthogonal transformation.
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Digital Video Tampering Detection Techniques
( PCA): Used to find global feature from image /frame.
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Reevaluating Factor Models: Feature Extraction of the Factor Zoo
Principal component analysis is a dimensionality reduction technique that reduces multiple (correlated) random variables into smaller number of (uncorrelated and orthogonal) random variables such the explained variance is maximized.
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Hybridization of Biogeography-Based Optimization and Gravitational Search Algorithm for Efficient Face Recognition
Principal component analysis is a statistical procedure that uses an orthogonal transformation to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components.
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Measuring the Effects of Data Mining on Inference
A procedure that uses an orthogonal transform to convert a set of observations of correlated variables into a set of values of linearly uncorrelated variables called principal components.
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Development of Class Attendance System Using Face Recognition for Faculty of Mechanical and Manufacturing Engineering, Universiti Tun Hussein Onn Malaysia
Principal component analysis is a statistical approach that transforms a set of observations of possibly correlated variables into a set of linearly uncorrelated principal components using orthogonal transformation.
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Visualization Tools for Big Data Analytics in Quantitative Chemical Analysis: A Tutorial in Chemometrics
Is a statistical procedure that uses an orthogonal transformation to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components.
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Component Analysis in Artificial Vision
Feature extraction technique in which the variance of the data is maximized. It provides a new feature space in which the dimensions are ordered by sample correlation. Thus, a subset of these dimensions can be chosen in which samples are minimally correlated.
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Design and Managing of Distributed Virtual Organizations
Rearrangement of the data matrix in new orthogonal transformed variables ordered in decreasing order of variance.
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A Pharmaco-Cybernetics Approach to Patient Safety: Identifying Adverse Drug Reactions through Unsupervised Machine Learning
A multivariate projection technique within unsupervised machine learning that can investigate relationships among multiple variables and explain the causes of variance in a data set. This technique linearly transforms an original set of variables into a substantially smaller set of uncorrelated variables called principal components, which represent most of the information in the original data set.
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Statistical Techniques for Research
Multivariate data analysis technique that allows to reduce the dimensionality of a high set of interrelated variables through linear combinations ordered from greater to lesser explanatory capacity of the total variance of the set, and independent of each other.
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