Recently, many studies have highlighted that training data-efficient generative adversarial networks (DE-GANs) suffers from the overfitting of the discriminator ($D$) problem. However, how this issue theoretically influences the training of the generator ($G$) remains unclear. In this paper, we unveil a novel insight in DE-GANs training, regarding the significance of useful gradients of $G$. Notably, the useful gradients of $G$ are those computed on generated samples closer to the real data distribution, which helps the generator to better learn the real data distribution. As the overfitting degree of $D$ increases, the gradients of the $G$ become progressively less useful, which hinders DE-GANs training. Based on this novel insight, we propose adaptive Top-k (ATop-k), a novel adaptive sample selection strategy for DE-GANs to provide more useful gradients for $G$ by selecting fake samples to update $G$ during training. Concretely, only the Top-k high-score fake samples are used to update $G$, where the value of k is controlled by the overfitting degree of $D$ adaptively. Extensive experiments on several datasets demonstrate that ATop-k can effectively achieve better performance across different DE-GANs and deliver state-of-the-art performance compared with other GANs and diffusion models.
