The first principal component captures the most variation in the data, but the second principal component captures the maximum variance that is orthogonal to the first principal component, and so on.The total variance captured by all the principal components is equal to the total variance in the original dataset. The principal components are linear combinations of the original variables in the dataset and are ordered in decreasing order of importance. Principal Component Analysis (PCA) is a technique for dimensionality reduction that identifies a set of orthogonal axes, called principal components, that capture the maximum variance in the data.Principal Component Analysis (PCA) is used to reduce the dimensionality of a data set by finding a new set of variables, smaller than the original set of variables, retaining most of the sample’s information, and useful for the regression and classification of data. The main goal of Principal Component Analysis (PCA) is to reduce the dimensionality of a dataset while preserving the most important patterns or relationships between the variables without any prior knowledge of the target variables.It is also known as a general factor analysis where regression determines a line of best fit. Principal Component Analysis (PCA) is an unsupervised learning algorithm technique used to examine the interrelations among a set of variables.Principal Component Analysis (PCA) is a statistical procedure that uses an orthogonal transformation that converts a set of correlated variables to a set of uncorrelated variables.PCA is the most widely used tool in exploratory data analysis and in machine learning for predictive models.It works on the condition that while the data in a higher dimensional space is mapped to data in a lower dimension space, the variance of the data in the lower dimensional space should be maximum. Principal Component Analysis (PCA) technique was introduced by the mathematician Karl Pearson in 1901. What is Principal Component Analysis(PCA)? ISRO CS Syllabus for Scientist/Engineer Exam. ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Top 100 DSA Interview Questions Topic-wise.
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