$β$-DARTS: Beta-Decay Regularization for Differentiable Architecture Search

3 Mar 2022  ·  Peng Ye, Baopu Li, Yikang Li, Tao Chen, Jiayuan Fan, Wanli Ouyang ·

Neural Architecture Search~(NAS) has attracted increasingly more attention in recent years because of its capability to design deep neural networks automatically. Among them, differential NAS approaches such as DARTS, have gained popularity for the search efficiency. However, they suffer from two main issues, the weak robustness to the performance collapse and the poor generalization ability of the searched architectures. To solve these two problems, a simple-but-efficient regularization method, termed as Beta-Decay, is proposed to regularize the DARTS-based NAS searching process. Specifically, Beta-Decay regularization can impose constraints to keep the value and variance of activated architecture parameters from too large. Furthermore, we provide in-depth theoretical analysis on how it works and why it works. Experimental results on NAS-Bench-201 show that our proposed method can help to stabilize the searching process and makes the searched network more transferable across different datasets. In addition, our search scheme shows an outstanding property of being less dependent on training time and data. Comprehensive experiments on a variety of search spaces and datasets validate the effectiveness of the proposed method.

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Task Dataset Model Metric Name Metric Value Global Rank Result Benchmark
Neural Architecture Search CIFAR-10 β-DARTS Top-1 Error Rate 2.53% # 22
Neural Architecture Search CIFAR-100 β-DARTS Percentage Error 16.52 # 8
Neural Architecture Search ImageNet b-DARTS (CIFAR-10) Top-1 Error Rate 23.9 # 91
Neural Architecture Search NAS-Bench-201, CIFAR-10 β-DARTS Accuracy (Test) 94.36 # 4
Accuracy (Val) 91.55 # 4
Neural Architecture Search NAS-Bench-201, CIFAR-100 β-DARTS Accuracy (Test) 73.51 # 1
Accuracy (Val) 73.49 # 1
Neural Architecture Search NAS-Bench-201, ImageNet-16-120 β-DARTS Accuracy (Test) 46.34 # 11
Accuracy (Val) 46.37 # 7
Neural Architecture Search NAS-Bench-201, ImageNet-16-120 β-RDARTS-L2 Accuracy (Test) 46.71 # 3
Neural Architecture Search NAS-Bench-201, ImageNet-16-120 β-SDARTS-RS Accuracy (Test) 46.71 # 3

Methods