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Neural networks have proven to be a highly effective tool for solving complex problems in many areas of life. Recently, their importance and practical usability have further been reinforced with the advent of deep learning. One of the…

机器学习 · 计算机科学 2024-02-15 Vladimír Kunc , Jiří Kléma

Large Language Models (LLMs) with billions of parameters have drastically transformed AI applications. However, their demanding computation during inference has raised significant challenges for deployment on resource-constrained devices.…

The design of activation functions remains a pivotal component in optimizing deep neural networks. While prevailing choices like Swish and GELU demonstrate considerable efficacy, they often exhibit domain-specific optima. This work…

机器学习 · 计算机科学 2025-06-02 Gaurav Sarkar , Jay Gala , Subarna Tripathi

In the last decade, an active area of research has been devoted to design novel activation functions that are able to help deep neural networks to converge, obtaining better performance. The training procedure of these architectures usually…

机器学习 · 计算机科学 2019-04-26 Franco Manessi , Alessandro Rozza

In recent years, deep neural networks (DNNs) achieved unprecedented performance in many low-level vision tasks. However, state-of-the-art results are typically achieved by very deep networks, which can reach tens of layers with tens of…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Idan Kligvasser , Tamar Rott Shaham , Tomer Michaeli

ReLU is widely seen as the default choice for activation functions in neural networks. However, there are cases where more complicated functions are required. In particular, recurrent neural networks (such as LSTMs) make extensive use of…

机器学习 · 计算机科学 2020-01-20 Nicholas Gerard Timmons , Andrew Rice

Well-known activation functions like ReLU or Leaky ReLU are non-differentiable at the origin. Over the years, many smooth approximations of ReLU have been proposed using various smoothing techniques. We propose new smooth approximations of…

机器学习 · 计算机科学 2021-09-28 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

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…

机器学习 · 计算机科学 2023-05-11 Kyungsu Lee , Jaeseung Yang , Haeyun Lee , Jae Youn Hwang

Artificial neural networks (ANN), typically referred to as neural networks, are a class of Machine Learning algorithms and have achieved widespread success, having been inspired by the biological structure of the human brain. Neural…

机器学习 · 计算机科学 2022-04-08 Murilo Gustineli

Activation functions are critical to the performance of deep neural networks, particularly in domains such as functional near-infrared spectroscopy (fNIRS), where nonlinearity, low signal-to-noise ratio (SNR), and signal variability poses…

机器学习 · 计算机科学 2025-07-16 Behtom Adeli , John McLinden , Pankaj Pandey , Ming Shao , Yalda Shahriari

We propose $\textit{Mish}$, a novel self-regularized non-monotonic activation function which can be mathematically defined as: $f(x)=x\tanh(softplus(x))$. As activation functions play a crucial role in the performance and training dynamics…

机器学习 · 计算机科学 2020-08-14 Diganta Misra

Deep neural networks, as a powerful system to represent high dimensional complex functions, play a key role in deep learning. Convergence of deep neural networks is a fundamental issue in building the mathematical foundation for deep…

机器学习 · 计算机科学 2022-10-04 Wentao Huang , Yuesheng Xu , Haizhang Zhang

Activation functions govern the expressivity and stability of neural networks, yet existing comparisons remain largely heuristic. We propose a rigorous framework for their classification via a nine-dimensional integral signature…

机器学习 · 计算机科学 2025-10-10 Ankur Mali , Lawrence Hall , Jake Williams , Gordon Richards

An artificial neuron is modelled as a weighted summation followed by an activation function which determines its output. A wide variety of activation functions such as rectified linear units (ReLU), leaky-ReLU, Swish, MISH, etc. have been…

机器学习 · 计算机科学 2019-12-30 Fayyaz ul Amir Afsar Minhas , Amina Asif

Non-linear activation functions, e.g., Sigmoid, ReLU, and Tanh, have achieved great success in neural networks (NNs). Due to the complex non-linear characteristic of samples, the objective of those activation functions is to project samples…

机器学习 · 计算机科学 2022-03-23 Tiantian He , Zhibin Li , Yongshun Gong , Yazhou Yao , Xiushan Nie , Yilong Yin

Nonlinear activation functions are widely recognized for enhancing the expressivity of neural networks, which is the primary reason for their widespread implementation. In this work, we focus on ReLU activation and reveal a novel and…

机器学习 · 计算机科学 2025-10-22 Chaoyue Liu , Han Bi , Like Hui , Xiao Liu

Deep neural networks have been successfully used in diverse emerging domains to solve real world complex problems with may more deep learning(DL) architectures, being developed to date. To achieve these state-of-the-art performances, the DL…

机器学习 · 计算机科学 2018-11-09 Chigozie Nwankpa , Winifred Ijomah , Anthony Gachagan , Stephen Marshall

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…

机器学习 · 计算机科学 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

We study neural networks with trainable low-degree rational activation functions and show that they are more expressive and parameter-efficient than modern piecewise-linear and smooth activations such as ELU, LeakyReLU, LogSigmoid, PReLU,…

机器学习 · 计算机科学 2026-02-16 Maosen Tang , Alex Townsend

An activation function has crucial role in a deep neural network. A simple rectified linear unit (ReLU) are widely used for the activation function. In this paper, a weighted sigmoid gate unit (WiG) is proposed as the activation function.…

计算机视觉与模式识别 · 计算机科学 2018-10-04 Masayuki Tanaka