540 citations · 841 across the 27 of their papers we have counts for
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Theory of the Frequency Principle for General Deep Neural Networks
Tao Luo, Zheng Ma, Zhi-Qin John Xu +1
Along with fruitful applications of Deep Neural Networks (DNNs) to realistic problems, recently, some empirical studies of DNNs reported a universal phenomenon of Frequency Princip…
Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks
Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo +1
It remains a puzzle that why deep neural networks (DNNs), with more parameters than samples, often generalize well. An attempt of understanding this puzzle is to discover implicit…
A type of generalization error induced by initialization in deep neural networks
Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo +1
How initialization and loss function affect the learning of a deep neural network (DNN), specifically its generalization error, is an important problem in practice. In this work, b…
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo +2
We study the training process of Deep Neural Networks (DNNs) from the Fourier analysis perspective. We demonstrate a very universal Frequency Principle (F-Principle) -- DNNs often…