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SQ Lower Bounds for Non-Gaussian Component Analysis with Weaker Assumptions

NeurIPS 2023 · Learning theory and algorithms › Sample complexity · approach: Statistical-query lower bounds · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Drop the finite chi-squared-distance assumption and retain moment matchingNGCA SQ-hardness analysis · NGCASQ lower-bound strengthHelped
Use the moment-matching-only NGCA lower boundList-decodable Gaussian mean estimation · List-decodable Gaussian mean estimationSQ query tolerance lower boundHelped
Use the moment-matching-only NGCA lower boundAnti-concentration detection · Anti-concentration detectionSQ query tolerance lower boundHelped
Use the moment-matching-only NGCA lower boundPeriodic-function learning · Learning periodic functionsSQ query tolerance lower boundHelped

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