Publication record · 18.cifr/2016.jolliffe.pca-review
18.cifr/2016.jolliffe.pca-reviewLarge datasets are increasingly common and are often difficult to interpret. Principal component analysis (PCA) is a technique for reducing the dimensionality of such datasets, increasing interpretability but at the same time minimizing information loss. It does so by creating new uncorrelated variables that successively maximize variance.
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Sparse PCA algorithms with better theoretical guarantees are flagged as an open area. Extensions to tensor data and streaming/online PCA remain active. Robust PCA variants that handle heavy-tailed outliers more gracefully are identified as important next steps.