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Recently, much attention has been devoted to finding highly efficient and powerful activation functions for CNN layers. Because activation functions inject different nonlinearities between layers that affect performance, varying them is one…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Loris Nanni , Gianluca Maguolo , Sheryl Brahnam , Michelangelo Paci

Deep representation learning has gained significant momentum in advancing text-dependent speaker verification (TD-SV) systems. When designing deep neural networks (DNN) for extracting bottleneck features, key considerations include training…

Sound · Computer Science 2022-01-19 Achintya kr. Sarkar , Zheng-Hua Tan

Sparse Neural Networks (SNNs) can potentially demonstrate similar performance to their dense counterparts while saving significant energy and memory at inference. However, the accuracy drop incurred by SNNs, especially at high pruning…

Machine Learning · Computer Science 2023-06-06 Mohammad Loni , Aditya Mohan , Mehdi Asadi , Marius Lindauer

The activation function is at the heart of a deep neural networks nonlinearity; the choice of the function has great impact on the success of training. Currently, many practitioners prefer the Rectified Linear Unit (ReLU) due to its…

Machine Learning · Computer Science 2021-08-24 Jordan Inturrisi , Sui Yang Khoo , Abbas Kouzani , Riccardo Pagliarella

From fully connected neural networks to convolutional neural networks, the learned parameters within a neural network have been primarily relegated to the linear parameters (e.g., convolutional filters). The non-linear functions (e.g.,…

Neural and Evolutionary Computing · Computer Science 2019-11-22 Andrew Hryniowski , Alexander Wong

We present a simple, effective, and general activation function we term ACON which learns to activate the neurons or not. Interestingly, we find Swish, the recent popular NAS-searched activation, can be interpreted as a smooth approximation…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Ningning Ma , Xiangyu Zhang , Ming Liu , Jian Sun

Activation functions have been shown to affect the performance of deep neural networks significantly. While the Rectified Linear Unit (ReLU) remains the dominant choice in practice, the optimal activation function for deep neural networks…

Machine Learning · Computer Science 2025-07-29 John Chidiac , Danielle Azar

It has been demonstrated that very simple attacks can fool highly-sophisticated neural network architectures. In particular, so-called adversarial examples, constructed from perturbations of input data that are small or imperceptible to…

Cryptography and Security · Computer Science 2019-04-09 N. Benjamin Erichson , Zhewei Yao , Michael W. Mahoney

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…

Neural and Evolutionary Computing · Computer Science 2020-04-15 Leonid Datta

Artificial neural networks usually consist of successive linear multiply-accumulate operations and nonlinear activation functions. However, most optical neural networks only achieve the linear operation in the optical domain, while the…

Optics · Physics 2023-11-03 Guanting Liu , Yiwei Shen , Ruiqian Li , Jingyi Yu , Xuming He , Cheng Wang

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

Machine Learning · Statistics 2018-10-09 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

In this paper we investigate the performance of different types of rectified activation functions in convolutional neural network: standard rectified linear unit (ReLU), leaky rectified linear unit (Leaky ReLU), parametric rectified linear…

Machine Learning · Computer Science 2015-11-30 Bing Xu , Naiyan Wang , Tianqi Chen , Mu Li

We propose reproducing activation functions (RAFs) to improve deep learning accuracy for various applications ranging from computer vision to scientific computing. The idea is to employ several basic functions and their learnable linear…

Machine Learning · Computer Science 2021-02-23 Senwei Liang , Liyao Lyu , Chunmei Wang , Haizhao Yang

Inducing and leveraging sparse activations during training and inference is a promising avenue for improving the computational efficiency of deep networks, which is increasingly important as network sizes continue to grow and their…

Machine Learning · Computer Science 2024-02-27 Ilan Price , Nicholas Daultry Ball , Samuel C. H. Lam , Adam C. Jones , Jared Tanner

The success of deep networks has been attributed in part to their expressivity: per parameter, deep networks can approximate a richer class of functions than shallow networks. In ReLU networks, the number of activation patterns is one…

Machine Learning · Statistics 2019-10-22 Boris Hanin , David Rolnick

Deep Neural Networks have been shown to be beneficial for a variety of tasks, in particular allowing for end-to-end learning and reducing the requirement for manual design decisions. However, still many parameters have to be chosen in…

Neural and Evolutionary Computing · Computer Science 2018-08-03 Mina Basirat , Peter M. Roth

Motivated by the growing theoretical understanding of neural networks that employ the Rectified Linear Unit (ReLU) as their activation function, we revisit the use of ReLU activation functions for learning implicit neural representations…

Image and Video Processing · Electrical Eng. & Systems 2024-08-05 Joseph Shenouda , Yamin Zhou , Robert D. Nowak

The simulation of human neurons and neurotransmission mechanisms has been realized in deep neural networks based on the theoretical implementations of activation functions. However, recent studies have reported that the threshold potential…

Machine Learning · Computer Science 2023-05-11 Kyungsu Lee , Jaeseung Yang , Haeyun Lee , Jae Youn Hwang

Activation functions are key to effective backpropagation and expressiveness in deep neural networks. This work introduces Tangma, a new activation function that combines the smooth shape of the hyperbolic tangent with two learnable…

Neural and Evolutionary Computing · Computer Science 2025-07-16 Shreel Golwala

The rectified linear unit (ReLU) is a highly successful activation function in neural networks as it allows networks to easily obtain sparse representations, which reduces overfitting in overparameterized networks. However, in network…

Machine Learning · Computer Science 2022-12-14 Shiyu Liu , Rohan Ghosh , Dylan Tan , Mehul Motani