English

Orthogonal-Pad\'e Activation Functions: Trainable Activation functions for smooth and faster convergence in deep networks

Neural and Evolutionary Computing 2021-06-18 v1 Artificial Intelligence Computer Vision and Pattern Recognition Machine Learning

Abstract

We have proposed orthogonal-Pad\'e activation functions, which are trainable activation functions and show that they have faster learning capability and improves the accuracy in standard deep learning datasets and models. Based on our experiments, we have found two best candidates out of six orthogonal-Pad\'e activations, which we call safe Hermite-Pade (HP) activation functions, namely HP-1 and HP-2. When compared to ReLU, HP-1 and HP-2 has an increment in top-1 accuracy by 5.06% and 4.63% respectively in PreActResNet-34, by 3.02% and 2.75% respectively in MobileNet V2 model on CIFAR100 dataset while on CIFAR10 dataset top-1 accuracy increases by 2.02% and 1.78% respectively in PreActResNet-34, by 2.24% and 2.06% respectively in LeNet, by 2.15% and 2.03% respectively in Efficientnet B0.

Cite

@article{arxiv.2106.09693,
  title  = {Orthogonal-Pad\'e Activation Functions: Trainable Activation functions for smooth and faster convergence in deep networks},
  author = {Koushik Biswas and Shilpak Banerjee and Ashish Kumar Pandey},
  journal= {arXiv preprint arXiv:2106.09693},
  year   = {2021}
}

Comments

11 pages

R2 v1 2026-06-24T03:19:44.681Z