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CountSketches, Feature Hashing and the Median of Three

ICML 2021 · Learning theory and algorithms › Sample complexity · approach: Optimal mean estimation and subsampling · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the median of 3 rows instead of 1 (ablation)CountSketch frequency estimation · Kosarakvariance: 1.25 \times 10^{-5} -> 1.42 \times 10^{-7}Helped
Use the median of 3 rows instead of 1 (ablation)CountSketch frequency estimation · Sentiment140variance: 5.94 \times 10^{-6} -> 2.13 \times 10^{-7}Helped
Use the median of 3 rows instead of 1 (ablation)CountSketch frequency estimation · Zipfian α=0.8variance: 9.56 \times 10^{-6} -> 2.09 \times 10^{-7}Helped
Use the median of 3 rows instead of 1 (ablation)CountSketch frequency estimation · Zipfian α=1.2variance: 6.94 \times 10^{-5} -> 3.99 \times 10^{-7}Helped
Use the median of 3 rows rather than a single row (ablation)CountSketch frequency estimation · General vectors, for sufficiently large svariance: 3 \|v\|_1^2/s^2 versus \|v\|_1^2/sHelped
Use the median of 3 rows rather than a single row (ablation)CountSketch inner product estimation · General vector pairs, for sufficiently large svariance: 3 \|v\|_1^2\|w\|_1^2/s^2 versus \|v\|_1^2\|w\|_1^2/sHelped

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