# A Survey on Activation Functions and their relation with Xavier and He Normal Initialization

arXiv: https://arxiv.org/abs/2004.06632 · HTML: https://mlsanity.com/paper/2004.06632/

## Key facts

- Cited by 13 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 18 Mar 2020.

## Built on by (most cited first, 13 of 13)

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- [Evaluating CNN with Oscillatory Activation Function](https://mlsanity.com/paper/2211.06878/) (2022)
- [Extending Neural Network Verification to a Larger Family of Piece-wise Linear Activation Functions](https://mlsanity.com/paper/2311.10780/) (2023)
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- [Exploring the Feasibility of Deep Learning Techniques for Accurate Gender Classification from Eye Images](https://mlsanity.com/paper/2508.00135/) (2025)
- [Physics-Embedded Neural ODEs for Sim2Real Edge Digital Twins of Hybrid Power Electronics Systems](https://mlsanity.com/paper/2508.02887/) (2025)
- [Developing Training Procedures for Piecewise-linear Spline Activation Functions in Neural Networks](https://mlsanity.com/paper/2509.18161/) (2025)
- [Towards Investigating Residual Hearing Loss: Quantification of Fibrosis in a Novel Cochlear OCT Dataset](https://mlsanity.com/paper/2608.21189/) (2026)

## Abstract (arXiv)

In artificial neural network, the activation function and the weight initialization method play important roles in training and performance of a neural network. The question arises is what properties of a function are important/necessary for being a well-performing activation function. Also, the most widely used weight initialization methods - Xavier and He normal initialization have fundamental connection with activation function. This survey discusses the important/necessary properties of activation function and the most widely used activation functions (sigmoid, tanh, ReLU, LReLU and PReLU). This survey also explores the relationship between these activation functions and the two weight initialization methods - Xavier and He normal initialization.
