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Deep learning researchers have a keen interest in proposing two new novel activation functions which can boost network performance. A good choice of activation function can have significant consequences in improving network performance. A…

Machine Learning · Computer Science 2022-04-12 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

Deep networks are gradually penetrating almost every domain in our lives due to their amazing success. However, with substantive performance accuracy improvements comes the price of \emph{irreproducibility}. Two identical models, trained on…

Machine Learning · Computer Science 2020-12-02 Gil I. Shamir , Dong Lin , Lorenzo Coviello

Activation Functions introduce non-linearity in the deep neural networks. This nonlinearity helps the neural networks learn faster and efficiently from the dataset. In deep learning, many activation functions are developed and used based on…

Machine Learning · Computer Science 2025-09-29 Ravin Kumar

This paper proposes $\mathrm{dynActivation}$, a per-layer trainable activation defined as $f_i(x) = \mathrm{BaseAct}(x)(\alpha_i - \beta_i) + \beta_i x$, where $\alpha_i$ and $\beta_i$ are lightweight learned scalars that interpolate…

Machine Learning · Computer Science 2026-03-24 Alois Bachmann

Adversarial training (AT) is one of the most effective ways for improving the robustness of deep convolution neural networks (CNNs). Just like common network training, the effectiveness of AT relies on the design of basic network…

Machine Learning · Computer Science 2022-12-06 Qing Guo , Felix Juefei-Xu , Changqing Zhou , Wei Feng , Yang Liu , Song Wang

The most widely used activation functions in current deep feed-forward neural networks are rectified linear units (ReLU), and many alternatives have been successfully applied, as well. However, none of the alternatives have managed to…

Machine Learning · Computer Science 2018-06-27 Leon René Sütfeld , Flemming Brieger , Holger Finger , Sonja Füllhase , Gordon Pipa

In the field of pattern recognition, achieving high accuracy is essential. While training a model to recognize different complex images, it is vital to fine-tune the model to achieve the highest accuracy possible. One strategy for…

Activation functions play a critical role in deep neural networks by shaping gradient flow, optimization stability, and generalization. While ReLU remains widely used due to its simplicity, it suffers from gradient sparsity and dead-neuron…

Machine Learning · Computer Science 2025-12-03 Ashkan Shakarami , Yousef Yeganeh , Azade Farshad , Lorenzo Nicolè , Stefano Ghidoni , Nassir Navab

The performance of deep network learning strongly depends on the choice of the non-linear activation function associated with each neuron. However, deciding on the best activation is non-trivial, and the choice depends on the architecture,…

Machine Learning · Computer Science 2020-02-05 Alejandro Molina , Patrick Schramowski , Kristian Kersting

Adversarial attacks add perturbations to the input features with the intent of changing the classification produced by a machine learning system. Small perturbations can yield adversarial examples which are misclassified despite being…

Machine Learning · Computer Science 2019-02-05 Rakshit Agrawal , Luca de Alfaro , David Helmbold

While deep neural networks have been achieving state-of-the-art performance across a wide variety of applications, their vulnerability to adversarial attacks limits their widespread deployment for safety-critical applications. Alongside…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Ahmadreza Jeddi , Mohammad Javad Shafiee , Michelle Karg , Christian Scharfenberger , Alexander Wong

We introduce the "exponential linear unit" (ELU) which speeds up learning in deep neural networks and leads to higher classification accuracies. Like rectified linear units (ReLUs), leaky ReLUs (LReLUs) and parametrized ReLUs (PReLUs), ELUs…

Machine Learning · Computer Science 2016-02-23 Djork-Arné Clevert , Thomas Unterthiner , Sepp Hochreiter

Adversarial training is an effective method to improve the machine learning (ML) model robustness. Most existing studies typically consider the Rectified linear unit (ReLU) activation function and centralized training environments. In this…

Machine Learning · Computer Science 2025-12-05 Long Dang , Thushari Hapuarachchi , Kaiqi Xiong , Jing Lin

Though Convolutional Neural Networks (CNNs) have surpassed human-level performance on tasks such as object classification and face verification, they can easily be fooled by adversarial attacks. These attacks add a small perturbation to the…

Machine Learning · Computer Science 2018-03-26 Rajeev Ranjan , Swami Sankaranarayanan , Carlos D. Castillo , Rama Chellappa

Rectified linear unit (ReLU) is a widely used activation function for deep convolutional neural networks. However, because of the zero-hard rectification, ReLU networks miss the benefits from negative values. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Suo Qiu , Xiangmin Xu , Bolun Cai

Recent work has developed methods for learning deep network classifiers that are provably robust to norm-bounded adversarial perturbation; however, these methods are currently only possible for relatively small feedforward networks. In this…

Machine Learning · Computer Science 2018-11-26 Eric Wong , Frank R. Schmidt , Jan Hendrik Metzen , J. Zico Kolter

Activation functions are essential to deep learning networks. Popular and versatile activation functions are mostly monotonic functions, some non-monotonic activation functions are being explored and show promising performance. But by…

Neural and Evolutionary Computing · Computer Science 2023-05-26 Junjia Chen , Zhibin Pan

As deep learning systems are widely adopted in safety- and security-critical applications, such as autonomous vehicles, banking systems, etc., malicious faults and attacks become a tremendous concern, which potentially could lead to…

Cryptography and Security · Computer Science 2018-10-02 Jakub Breier , Xiaolu Hou , Dirmanto Jap , Lei Ma , Shivam Bhasin , Yang Liu

Activation function is a pivotal component of deep learning, facilitating the extraction of intricate data patterns. While classical activation functions like ReLU and its variants are extensively utilized, their static nature and…

Machine Learning · Computer Science 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

Progress in making neural networks more robust against adversarial attacks is mostly marginal, despite the great efforts of the research community. Moreover, the robustness evaluation is often imprecise, making it difficult to identify…

Machine Learning · Computer Science 2021-05-26 Leo Schwinn , René Raab , An Nguyen , Dario Zanca , Bjoern Eskofier