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We prove a large deviation principle for deep neural networks with Gaussian weights and at most linearly growing activation functions, such as ReLU. This generalises earlier work, in which bounded and continuous activation functions were…

机器学习 · 统计学 2026-02-10 Quirin Vogel

Understanding the role of (stochastic) gradient descent (SGD) in the training and generalisation of deep neural networks (DNNs) with ReLU activation has been the object study in the recent past. In this paper, we make use of deep gated…

机器学习 · 计算机科学 2020-03-03 Chandrashekar Lakshminarayanan , Amit Vikram Singh

This paper explores the expressive power of deep neural networks for a diverse range of activation functions. An activation function set $\mathscr{A}$ is defined to encompass the majority of commonly used activation functions, such as…

机器学习 · 计算机科学 2024-02-28 Shijun Zhang , Jianfeng Lu , Hongkai Zhao

Activation functions influence behavior and performance of DNNs. Nonlinear activation functions, like Rectified Linear Units (ReLU), Exponential Linear Units (ELU) and Scaled Exponential Linear Units (SELU), outperform the linear…

神经与进化计算 · 计算机科学 2019-02-05 Alberto Marchisio , Muhammad Abdullah Hanif , Semeen Rehman , Maurizio Martina , Muhammad Shafique

In neural networks, non-linearity is introduced by activation functions. One commonly used activation function is Rectified Linear Unit (ReLU). ReLU has been a popular choice as an activation but has flaws. State-of-the-art functions like…

机器学习 · 计算机科学 2021-12-23 Advait Vagerwal

Activation function is crucial to the recent successes of deep neural networks. In this paper, we first propose a new activation function, Multiple Parametric Exponential Linear Units (MPELU), aiming to generalize and unify the rectified…

计算机视觉与模式识别 · 计算机科学 2017-01-18 Yang Li , Chunxiao Fan , Yong Li , Qiong Wu , Yue Ming

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.…

Activation function is a key component in deep learning that performs non-linear mappings between the inputs and outputs. Rectified Linear Unit (ReLU) has been the most popular activation function across the deep learning community.…

机器学习 · 计算机科学 2022-03-01 Hock Hung Chieng , Noorhaniza Wahid , Pauline Ong

Successive linear transforms followed by nonlinear "activation" functions can approximate nonlinear functions to arbitrary precision given sufficient layers. The number of necessary layers is dependent on, in part, by the nature of the…

神经与进化计算 · 计算机科学 2018-09-26 Andrei Nicolae

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…

机器学习 · 计算机科学 2021-08-24 Jordan Inturrisi , Sui Yang Khoo , Abbas Kouzani , Riccardo Pagliarella

Recent studies have shown that the choice of activation function can significantly affect the performance of deep learning networks. However, the benefits of novel activation functions have been inconsistent and task dependent, and…

机器学习 · 计算机科学 2022-01-25 Garrett Bingham , Risto Miikkulainen

Convolutional neural networks have been successful in solving many socially important and economically significant problems. This ability to learn complex high-dimensional functions hierarchically can be attributed to the use of nonlinear…

机器学习 · 计算机科学 2025-04-15 Mathew Mithra Noel , Arunkumar L , Advait Trivedi , Praneet Dutta

Activation functions are critical components in deep neural networks, directly influencing gradient flow, training stability, and model performance. Traditional functions like ReLU suffer from dead neuron problems, while sigmoid and tanh…

机器学习 · 计算机科学 2025-07-31 Sergii Kavun

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…

机器学习 · 计算机科学 2025-07-29 John Chidiac , Danielle Azar

The widely used ReLU is favored for its hardware efficiency, {as the implementation at inference is a one bit sign case,} yet suffers from issues such as the ``dying ReLU'' problem, where during training, neurons fail to activate and…

机器学习 · 计算机科学 2025-10-31 Moshe Kimhi , Idan Kashani , Avi Mendelson , Chaim Baskin

The nonlinearity of activation functions used in deep learning models are crucial for the success of predictive models. There are several commonly used simple nonlinear functions, including Rectified Linear Unit (ReLU) and Leaky-ReLU…

Gated Linear Units (GLUs) have become essential components in the feed-forward networks of state-of-the-art Large Language Models (LLMs). However, they require twice as many memory reads compared to feed-forward layers without gating, due…

机器学习 · 计算机科学 2025-07-01 Yukito Tajima , Nakamasa Inoue , Yusuke Sekikawa , Ikuro Sato , Rio Yokota

Activation functions play a pivotal role in the function learning using neural networks. The non-linearity in the learned function is achieved by repeated use of the activation function. Over the years, numerous activation functions have…

机器学习 · 计算机科学 2020-10-13 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

This study introduces a novel activation function, characterized by a dynamic slope that adjusts throughout the training process, aimed at enhancing adaptability and performance in deep neural networks for computer vision tasks. The…

计算机视觉与模式识别 · 计算机科学 2024-08-20 Archisman Chakraborti , Bidyut B Chaudhuri

In contemporary large language models (LLMs), the swish-gated linear unit (SwiGLU) activation function is widely adopted to regulate the information flow and introduce non-linearity. For large positive inputs, SwiGLU approximates the…

计算与语言 · 计算机科学 2026-05-26 Peijie Jiang , Yuqi Feng , Cunyin Peng , Qian Zhao , Jia Liu , KunLong Chen , Zhiqiang Zhang , Jun Zhou