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Residual-Based Sampling for Online Outlier-Robust PCA

ICML 2022 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse and robust PCA

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add an outlier threshold ξ/z to residual-based adaptive sampling so outliers are marked and removed onlineonline PCA with outliers · theoretical guarantee vs. Bhaskara et al. (2019)error bound and embedding dimensionHelped
Two-pass combination with additive approximation algorithm (Algorithm 2) instead of single passonline ORPCA · theoretical guaranteeapproximation errorHelped
Remove the need to know ξ by doubling it when too many phases occuronline ORPCA (Algorithm 3) · theoretical guaranteeembedding dimension and marked outliersMixed

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