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Sample-Optimal Estimation of the Fréchet Inception Distance
computer-vision-and-pattern-recognitiondata-structures-and-algorithmsmachine-learningstatistics-theory
The Fréchet Inception Distance (FID) is widely used to evaluate generative models, but its empirical plug-in estimator suffers from finite-sample bias [BSAG18, CF20]. We study the sample complexity $n$ of estimating FID to error $ε$ between $d$-dimensional Gaussians with bounded mean distance and co
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