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Hanxu Zhou

3 accepted papers

2022

Empirical Phase Diagram for Three-layer Neural Networks with Infinite Width

NeurIPS 2022accept

Substantial work indicates that the dynamics of neural networks (NNs) is closely related to their initialization of parameters. Inspired by the phase diagram for two-layer ReLU NNs with infinite width (Luo et al., 2021), we make a step towards drawing a phase diagram for three-layer ReLU NNs with in…

Cited by 29SourcePDFScholar
2022

Towards Understanding the Condensation of Neural Networks at Initial Training

NeurIPS 2022accept

Empirical works show that for ReLU neural networks (NNs) with small initialization, input weights of hidden neurons (the input weight of a hidden neuron consists of the weight from its input layer to the hidden neuron and its bias term) condense onto isolated orientations. The condensation dynamics…

Cited by 32SourcePDFScholar
2021

Deep Frequency Principle Towards Understanding Why Deeper Learning Is Faster

AAAI 2021technical

Understanding the effect of depth in deep learning is a critical problem. In this work, we utilize the Fourier analysis to empirically provide a promising mechanism to understand why feedforward deeper learning is faster. To this end, we separate a deep neural network, trained by normal stochastic…