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Learning automatically the best activation function for the task is an active topic in neural network research. At the moment, despite promising results, it is still difficult to determine a method for learning an activation function that…

机器学习 · 计算机科学 2019-10-29 Andrea Apicella , Francesco Isgrò , Roberto Prevete

While neural networks are used for classification tasks across domains, a long-standing open problem in machine learning is determining whether neural networks trained using standard procedures are optimal for classification, i.e., whether…

机器学习 · 计算机科学 2023-05-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Background: Deep neural networks have proven to be powerful computational tools for modeling, prediction, and generation. However, the workings of these models have generally been opaque. Recent work has shown that the performance of some…

人工智能 · 计算机科学 2023-11-21 Andrew S. Nencka , L. Tugan Muftuler , Peter LaViolette , Kevin M. Koch

The scope of research in the domain of activation functions remains limited and centered around improving the ease of optimization or generalization quality of neural networks (NNs). However, to develop a deeper understanding of deep…

机器学习 · 计算机科学 2020-12-10 Mohit Goyal , Rajan Goyal , Brejesh Lall

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

机器学习 · 统计学 2020-10-19 Rahul Parhi , Robert D. Nowak

In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new layers between existing ones and/or the increase of neurons in a…

数值分析 · 数学 2025-05-07 Sergio López-Ureña

Activation functions have come up as one of the essential components of neural networks. The choice of adequate activation function can impact the accuracy of these methods. In this study, we experiment for finding an optimal activation…

机器学习 · 计算机科学 2022-02-25 Vipul Bansal

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

机器学习 · 计算机科学 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

We study the complexity of functions computable by deep feedforward neural networks with piecewise linear activations in terms of the symmetries and the number of linear regions that they have. Deep networks are able to sequentially map…

机器学习 · 统计学 2014-06-10 Guido Montúfar , Razvan Pascanu , Kyunghyun Cho , Yoshua Bengio

The primary neural networks decision-making units are activation functions. Moreover, they evaluate the output of networks neural node; thus, they are essential for the performance of the whole network. Hence, it is critical to choose the…

机器学习 · 计算机科学 2020-10-20 Tomasz Szandała

Deep learning, a branch of artificial intelligence, is a data-driven method that uses multiple layers of interconnected units or neurons to learn intricate patterns and representations directly from raw input data. Empowered by this…

机器学习 · 计算机科学 2025-07-28 Mohd Halim Mohd Noor , Ayokunle Olalekan Ige

Active perception has been employed in many domains, particularly in the field of robotics. The idea of active perception is to utilize the input data to predict the next action that can help robots to improve their performance. The main…

机器人学 · 计算机科学 2021-09-08 Elijah S. Lee

The activation function deployed in a deep neural network has great influence on the performance of the network at initialisation, which in turn has implications for training. In this paper we study how to avoid two problems at…

机器学习 · 计算机科学 2021-05-18 Michael Murray , Vinayak Abrol , Jared Tanner

Activation functions are crucial for deep neural networks. This novel work frames the problem of training neural network with learnable polynomial activation functions as a polynomial optimization problem, which is solvable by the…

最优化与控制 · 数学 2025-10-07 Linghao Zhang , Jiawang Nie , Tingting Tang

Neural networks have shown great success in many machine learning related tasks, due to their ability to act as general function approximators. Recent work has demonstrated the effectiveness of neural networks in control systems (known as…

系统与控制 · 电气工程与系统科学 2023-07-13 Matthew Newton , Antonis Papachristodoulou

Activation functions play an essential role in neural networks. They provide the non-linearity for the networks. Therefore, their properties are important for neural networks' accuracy and running performance. In this paper, we present a…

机器学习 · 计算机科学 2023-08-01 Yuanhao Gong

Despite broad interest in applying deep learning techniques to scientific discovery, learning interpretable formulas that accurately describe scientific data is very challenging because of the vast landscape of possible functions and the…

机器学习 · 计算机科学 2021-02-17 Fuchang Gao , Boyu Zhang

Artificial neural networks typically have a fixed, non-linear activation function at each neuron. We have designed a novel form of piecewise linear activation function that is learned independently for each neuron using gradient descent.…

神经与进化计算 · 计算机科学 2015-04-22 Forest Agostinelli , Matthew Hoffman , Peter Sadowski , Pierre Baldi

The choice of activation function can significantly influence the performance of neural networks. The lack of guiding principles for the selection of activation function is lamentable. We try to address this issue by introducing our…

机器学习 · 计算机科学 2018-10-16 Yiwei Li , Enzhi Li

The training process of neural networks usually optimize weights and bias parameters of linear transformations, while nonlinear activation functions are pre-specified and fixed. This work develops a systematic approach to constructing…

机器学习 · 计算机科学 2024-10-29 Zhengqi Liu , Shuhao Cao , Yuwen Li , Ludmil Zikatanov