What FID Hides: Detecting, Ranking, and Diagnosing Deviations in Generative Evaluation
- URL: http://arxiv.org/abs/2608.24881v1
- Date: Tue, 25 Aug 2026 17:58:46 GMT
- Title: What FID Hides: Detecting, Ranking, and Diagnosing Deviations in Generative Evaluation
- Abstract summary: Generative models are commonly ranked by Fréchet Inception Distance (FID) and Kernel Inception Distance (KID)<n>ZID detects a broad range of departures, and its score tracks increasing severity along the corresponding sweeps.
- Score: 6.078726431806193
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Generative models are commonly ranked by Fréchet Inception Distance (FID) and Kernel Inception Distance (KID), yet FID's first-two-moment summary can miss distributional differences, and a reported scalar gap alone is not a calibrated test against sampling variation. FID's moment restriction has concrete consequences: on ImageNet, visually unrecognizable images optimized only to match the reference Inception mean and covariance obtain FID $24.7$ versus $58.6$ for held-out real images (lower is better). Moreover, FID and KID are scalar discrepancies that are unchanged when the two samples are exchanged and therefore do not encode the direction of a dispersion change: under-dispersion, as can occur in mode collapse, versus over-dispersion. We introduce \textbf{ZID} (\emph{Z-resolved Integrated Diagnostic}), which combines six standardized location- and dispersion-sensitive arms from a rank graph (RISE) and Gaussian kernels (GPK at two bandwidths). Rather than asking one scalar to serve incompatible roles, ZID reports three linked outputs: an index for ranking departure magnitude, a permutation $p$-value for testing distributional equality, and a signed dispersion readout for diagnosis. In controlled experiments, ZID detects a broad range of departures, and its score tracks increasing severity along the corresponding sweeps, including cases in which FID is flat or reversed. On DiT-XL/2 and SiT-XL/2 guidance sweeps, ZID detects departure from real data, and its signed readout labels the high-guidance diversity collapse as under-dispersion.
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