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Research map / Learning theory and algorithms / Sample complexity

Phase Transitions in the Detection of Correlated Databases

ICML 2023 · Learning theory and algorithms › Sample complexity · approach: Learning under log-concave distributions · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Impose rho^2 d -> 0 (weak correlation in high dimension) and use thresholding of sum of X^T Y entries as the testGaussian correlated databases detection · d -> infinityweak detection feasibilityNo clear effect
Replace sum test with counting test over normalized pairwise correlations exceeding rhoGaussian correlated databases detection · d fixed, n -> infinitystrong detection feasibilityHelped
Analysis of the counting test restricted to d=1phi_count · d=1strong detection feasibilityNo clear effect

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