On weight initialization in deep neural networks
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Abstract (arXiv)
A proper initialization of the weights in a neural network is critical to its convergence. Current insights into weight initialization come primarily from linear activation functions. In this paper, I develop a theory for weight initializations with non-linear activations. First, I derive a general weight initialization strategy for any neural network using activation functions differentiable at 0. Next, I derive the weight initialization strategy for the Rectified Linear Unit (RELU), and provide theoretical insights into why the Xavier initialization is a poor choice with RELU activations. My analysis provides a clear demonstration of the role of non-linearities in determining the proper weight initializations.
Key facts. Cited by 67 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Apr 2017.
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Citing papers per year: 2021: 12; 2022: 8; 2023: 15; 2024: 11; 2025: 14; 2026: 7.
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