In this webinar, graduate student Edwin Caballero offers an introduction to one of the most used algorithms for analyzing data.
Principal component analysis is an algorithm that reduces the dimensionality of your data. Used a lot for analysis that involved more than 3 variables (multivariate) and recently essential for machine learning.
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CHAPTERS
00:00 Intro
04:13 Applications
05:31 A bit of the Math
11:09 Residuals and Principal Component
14:00 What does Scores and Loadings Show
17:10 How Does it Work?
19:23 Inputs & Outputs
20:26 PCA Inputs
31:20 PCA Outputs
39:43 Where Can You Use PCA?
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Principal Component Analysis (PCA) is a statistical method that is used to reduce the dimensionality of data. PCA is a type of linear transformation that projects the data onto a lower-dimensional space, such that the maximum amount of variance is preserved. This can be useful for visualizing the data, for removing noise and outliers, and for reducing the computational complexity of data analysis.
PCA is commonly used in a variety of fields, including machine learning, computer vision, and chemometrics. In chemometrics, PCA is often used to analyze spectral data, such as infrared or Raman spectra. PCA can help researchers to identify the most important features in the data, to remove noise and outliers, and to visualize the data in a more meaningful way. It can also be used to reduce the dimensionality of the data, which can improve the performance of other data analysis methods, such as clustering or classification.
Overall, PCA is a powerful and versatile tool for data analysis, and can be useful for researchers in a wide range of fields. It can help to simplify complex data sets, to identify important features, and to improve the accuracy and interpretability of data analysis.
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