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Math & Optimization · intermediate · concept 60 of 311 · Updated Nov 4, 2026

Dimensionality Reduction

Reducing the number of features while preserving important information. PCA, t-SNE, and UMAP are the main techniques, essential for visualization and fighting the curse of dimensionality. LDA is the supervised counterpart: it projects using class labels, where PCA ignores them.

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Key terms

PCAt-SNEUMAPCurse of dimensionalityFeature compressionLDA (Linear Discriminant Analysis)

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▶ UMAP Dimension Reduction, Main Ideas!!! ↗

StatQuest with Josh Starmer · YouTube

▶ StatQuest: PCA main ideas in only 5 minutes!!! ↗

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