Research map / Learning theory and algorithms / Sample complexity
SQ Lower Bounds for Non-Gaussian Component Analysis with Weaker Assumptions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Drop the finite chi-squared-distance assumption and retain moment matching | NGCA SQ-hardness analysis · NGCA | SQ lower-bound strength | Helped |
| Use the moment-matching-only NGCA lower bound | List-decodable Gaussian mean estimation · List-decodable Gaussian mean estimation | SQ query tolerance lower bound | Helped |
| Use the moment-matching-only NGCA lower bound | Anti-concentration detection · Anti-concentration detection | SQ query tolerance lower bound | Helped |
| Use the moment-matching-only NGCA lower bound | Periodic-function learning · Learning periodic functions | SQ query tolerance lower bound | Helped |
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