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The PCA

2023-03-19 00:32:57

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Applications for PCA include simplifying data for compression, learning and visualization. Knowledge of the domain is very important when choosing whether to continue using PCA. It does not apply to noisy data (all PCA components have very large variations). PCA is actually a simple application of SVD. In computer vision, the first face recognition algorithm uses PCA and SVD to express a linear combination of faces as a "feature face", perform a dimension reduction, and then check the face and identity in a simple way . It is far more complicated, yet many people rely on similar technology

In order to achieve these goals, PCA calculates a new variable called PCA. This is obtained as a linear combination of the original variables. (Zou et al., 2006) published a paper on sparse principal component analysis (PCA). PCA is widely used for data processing and dimension reduction. The high dimensional space shows an incredibly intuitive geometry, which greatly affects the performance of data analysis tools. (Freitas 2003) announces a study of evolutionary algorithms for data mining and knowledge discovery

Carl Pearson invented PCA in 1901. It is currently used as a tool for creating predictive models and exploratory data analysis. PCA is used for singular value decomposition of data matrix or decomposition calculation of data covariance matrix. It is usually used after averaging the data of each attribute. Discovery of PCA is usually described in terms of component scores and loads. PCA is simple and accurate multivariate analysis based on feature vectors. You can use that operation for the internal structure of the data to best explain the distribution of the data. If the multivariate dataset is visualized as a set of coordinates in the high dimensional data space (one axis per variable), the PCA will convert the low dimensional image whose "shadow" is used for most information views to the user .