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Unleashing the Power of Gradient Signal-to-Noise Ratio for Zero-Shot NAS

Neural Architecture Search (NAS) aims to automatically find optimal neural network architectures in an efficient way. Zero-Shot NAS is a promising technique that leverages proxies to predict the accuracy of candidate architectures without any training. However, we have observed that most existing proxies do not consistently perform well across different search spaces, and are less concerned with generalization. Recently, the gradient signal-to-noise ratio (GSNR) was shown to be correlated with neural network generalization performance. In this paper, we not only explicitly give the probability that larger GSNR at network initialization can ensure better generalization, but also theoretically prove that GSNR can ensure better convergence. Then we design the Xi-based gradient signal-to-noise ratio (Xi-GSNR) as a Zero-Shot NAS proxy to predict the network accuracy at initialization. Extensive experiments in different search spaces demonstrate that Xi-GSNR provides superior ranking consistency compared to previous proxies. Moreover, Xi-GSNR-based Zero-Shot NAS also achieves outstanding performance when directly searching for the optimal architecture in various search spaces and datasets. The source code is available at https://github.com/Sunzh1996/Xi-GSNR.

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