The rapid advancement of Generative Adversarial Networks (GANs) necessitates the need to robustly evaluate these models. Among the established evaluation criteria, the Fr\'{e}chet Inception Distance (FID) has been widely adopted due to its conceptual simplicity, fast computation time, and strong correlation with human perception. However, FID has inherent limitations, mainly stemming from its assumption that feature embeddings follow a Gaussian distribution, and therefore can be defined by their first two moments. As this does not hold in practice, in this paper we explore the importance of third-moments in image feature data and use this information to define a new measure, which we call the Skew Inception Distance (SID). We prove that SID is a pseudometric on probability distributions, show how it extends FID, and present a practical method for its computation. Our numerical experiments support that SID either tracks with FID or, in some cases, aligns more closely with human perception when evaluating image features of ImageNet data.

探索了基于图像特征数据的高斯分布的假设并通过定义新的测量方法，即偏度内插距离（SID），来扩展既定评估标准Fréchet Inception Distance（FID）。数值实验结果表明，SID在评估ImageNet数据的图像特征时要么与FID保持一致，要么更贴近人类感知。

使用高阶矩来评估GAN生成的图像特征质量