Principal Components Regression, Pt. The need for pruning. The purpose of this article is to set the stage for presenting dimensionality reduction techniques appropriate for predictive modeling, such as y-aware principal components analysis, variable pruning, L2-regularized regression, supervised PCR, or partial least squares.
sklearn pca eigenvaluesLet's quickly find out the amount of information or variance the principal components hold. Remember that there is some semantic class overlap in this dataset which means that a frog can have a slightly similar shape of a cat or a deer with a dog; especially when projected in a two-dimensional space. The differences between them might not be captured that well. The points belonging to the same class are close to each other, and the points or images that are very different semantically are further away from each other. Note. To learn basic terminologies that will be used in this section, please feel free to check out this tutorial.
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Comments I've always been fascinated by the concept of PCA. Considering its wide range of applications and how inherently mathematical the idea is, I feel PCA is one of the pillars of the intersection between Pure Mathematics and Real-world analytics. Besides, the fact that you could think about real data as just raw numbers and then transform it down to something you can visualize and relate to, is extremely powerful and essential in any learning process. Just in case you're wondering, Principle Component Analysis PCA simply put is a dimensionality reduction technique that can find the combinations of variables that explain the most variance.
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