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Nowadays, the metric used to calculate the statistic distance between different pictures is the FID (Fréchet Inception Distance): it uses a pretrained inception network and the W2 divergence to approach the distance between them. We assume that the latent representation of each dataset has a Gaussian distribution. We also assume that the Gaussian distribution is not degenerate: we assume that the covariance matrix is a positive definite matrix: all the principal components are not zeros. To these assumptions, we can add the numerical instability and the impossibility to score a single image.
The limits of this method had woke up in us the will to look for a new metric. Can we find a new solution that won’t need those assumptions and with whom we can score a single image while maintaining numerical stability?

Please, see project report.

Please, see final presentation.