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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…

计算机视觉与模式识别 · 计算机科学 2021-04-19 Ningning Ma , Xiangyu Zhang , Ming Liu , Jian Sun

We propose a novel extension to symmetrized neural network operators by incorporating fractional and mixed activation functions. This study addresses the limitations of existing models in approximating higher-order smooth functions,…

Recently proposed neural network activation functions such as rectified linear, maxout, and local winner-take-all have allowed for faster and more effective training of deep neural architectures on large and complex datasets. The common…

神经与进化计算 · 计算机科学 2015-04-13 Rupesh Kumar Srivastava , Jonathan Masci , Faustino Gomez , Jürgen Schmidhuber

Dynamic adaptation in single-neuron response plays a fundamental role in neural coding in biological neural networks. Yet, most neural activation functions used in artificial networks are fixed and mostly considered as an inconsequential…

机器学习 · 计算机科学 2020-06-23 Victor Geadah , Giancarlo Kerg , Stefan Horoi , Guy Wolf , Guillaume Lajoie

Graph neural networks (GNNs) have been shown to replicate convolutional neural networks' (CNNs) superior performance in many problems involving graphs. By replacing regular convolutions with linear shift-invariant graph filters (LSI-GFs),…

机器学习 · 计算机科学 2019-02-12 Luana Ruiz , Fernando Gama , Antonio G. Marques , Alejandro Ribeiro

It is well-known that overparametrized neural networks trained using gradient-based methods quickly achieve small training error with appropriate hyperparameter settings. Recent papers have proved this statement theoretically for highly…

机器学习 · 计算机科学 2020-04-13 Abhishek Panigrahi , Abhishek Shetty , Navin Goyal

Neural Networks (NNs) are the method of choice for building learning algorithms. Their popularity stems from their empirical success on several challenging learning problems. However, most scholars agree that a convincing theoretical…

数值分析 · 数学 2021-01-01 Ronald DeVore , Boris Hanin , Guergana Petrova

Spiking Neural Networks (SNNs) have emerged as an attractive spatio-temporal computing paradigm for complex vision tasks. However, most existing works yield models that require many time steps and do not leverage the inherent temporal…

神经与进化计算 · 计算机科学 2022-10-25 Gourav Datta , Haoqin Deng , Robert Aviles , Peter A. Beerel

Activation functions play a critical role in the performance and behaviour of neural networks, significantly impacting their ability to learn and generalise. Traditional activation functions, such as ReLU, sigmoid, and tanh, have been…

神经与进化计算 · 计算机科学 2025-03-27 Benjamin David Winter , William John Teahan

We introduce stochastic activations. This novel strategy randomly selects between several non-linear functions in the feed-forward layer of a large language model. In particular, we choose between SILU or RELU depending on a Bernoulli draw.…

We introduce a similarity function on formulae of signal temporal logic (STL). It comes in the form of a kernel function, well known in machine learning as a conceptually and computationally efficient tool. The corresponding kernel trick…

计算机科学中的逻辑 · 计算机科学 2022-01-26 Luca Bortolussi , Giuseppe Maria Gallo , Jan Křetínský , Laura Nenzi

We place ourselves in a functional regression setting and propose a novel methodology for regressing a real output on vector-valued functional covariates. This methodology is based on the notion of signature, which is a representation of a…

统计方法学 · 统计学 2022-06-17 Adeline Fermanian

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

This work presents an adaptive activation method for neural networks that exploits the interdependency of features. Each pixel, node, and layer is assigned with a polynomial activation function, whose coefficients are provided by an…

计算机视觉与模式识别 · 计算机科学 2018-11-22 Jinhyeok Jang , Jaehong Kim , Jaeyeon Lee , Seungjoon Yang

This paper contributes to the challenge of learning a function on streamed multimodal data through evaluation. The core of the result of our paper is the combination of two quite different approaches to this problem. One comes from the…

机器学习 · 计算机科学 2019-09-24 Shujian Liao , Terry Lyons , Weixin Yang , Hao Ni

The article is devoted to the study of neural networks with one hidden layer and a modified activation function for solving physical problems. A rectified sigmoid activation function has been proposed to solve physical problems described by…

数值分析 · 数学 2024-12-31 Vasiliy A. Es'kin , Alexey O. Malkhanov , Mikhail E. Smorkalov

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

To enhance the nonlinearity of neural networks and increase their mapping abilities between the inputs and response variables, activation functions play a crucial role to model more complex relationships and patterns in the data. In this…

计算机视觉与模式识别 · 计算机科学 2021-12-20 Haigen Hu , Aizhu Liu , Qiu Guan , Xiaoxin Li , Shengyong Chen , Qianwei Zhou

Automated machine learning (AutoML) methods improve upon existing models by optimizing various aspects of their design. While present methods focus on hyperparameters and neural network topologies, other aspects of neural network design can…

机器学习 · 计算机科学 2023-04-10 Garrett Bingham

Different activation functions work best for different deep learning models. To exploit this, we leverage recent advancements in gradient-based search techniques for neural architectures to efficiently identify high-performing activation…

机器学习 · 计算机科学 2024-08-14 Lukas Strack , Mahmoud Safari , Frank Hutter