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Research map / Learning theory and algorithms / Matrix and tensor methods

Principal Component Projection Without Principal Component Analysis

ICML 2016 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse and robust PCA · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase number of iterations of PC-PROJ (sharpening polynomial) on synthetic dataPC-PROJ · Synthetic data, gaps γ=.1, .02, .01projection errorHelped
Smaller spectral gap γPC-PROJ · Synthetic dataprojection errorHurt
Projection replaced by PCR via RIDGE-PCR iterationsRIDGE-PCR · MNIST regressionrelative regression errorHelped
Projection with ridge-regression-based sharpening, 20 iterationsPC-PROJ · MNIST regressionrelative projection error: 0.01 relative error at 20 iterationsHelped

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