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1,822 Results Found

  • Article
  • Open Access
83 Citations
9,147 Views
21 Pages

26 June 2019

There has been a growing interest in expressivity of deep neural networks. However, most of the existing work about this topic focuses only on the specific activation function such as ReLU or sigmoid. In this paper, we investigate the approximation a...

(This article belongs to the Special Issue Information Theoretic Learning and Kernel Methods)
  • Article
  • Open Access
2 Citations
1,377 Views
27 Pages

23 November 2024

In this paper, we create a family of neural network (NN) operators employing a parametrized and deformed half-hyperbolic tangent function as an activation function and a density function produced by the same activation function. Moreover, we consider...

(This article belongs to the Special Issue Functional Analysis, Fractional Operators and Symmetry/Asymmetry: Second Edition)
  • Article
  • Open Access
24 Citations
5,547 Views
18 Pages

An Efficient Asymmetric Nonlinear Activation Function for Deep Neural Networks

  • Enhui Chai,
  • Wei Yu,
  • Tianxiang Cui,
  • Jianfeng Ren and
  • Shusheng Ding

17 May 2022

As a key step to endow the neural network with nonlinear factors, the activation function is crucial to the performance of the network. This paper proposes an Efficient Asymmetric Nonlinear Activation Function (EANAF) for deep neural networks. Compar...

(This article belongs to the Special Issue Symmetry in Pattern Recognition)
  • Article
  • Open Access
16 Citations
5,904 Views
17 Pages

13 March 2024

The implementation of neural networks (NNs) on edge devices enables local processing of wireless data, but faces challenges such as high computational complexity and memory requirements when deep neural networks (DNNs) are used. Shallow neural networ...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
307 Citations
21,186 Views
20 Pages

10 March 2020

The convolutional neural network (CNN) has been widely used in image recognition field due to its good performance. This paper proposes a facial expression recognition method based on the CNN model. Regarding the complexity of the hierarchic structur...

  • Article
  • Open Access
19 Citations
2,974 Views
16 Pages

Flatness Prediction of Cold Rolled Strip Based on Deep Neural Network with Improved Activation Function

  • Jingyi Liu,
  • Shuni Song,
  • Jiayi Wang,
  • Maimutimin Balaiti and ,
  • Nina Song and
  • Sen Li
  • + 1 author+ 0 author

15 January 2022

With the improvement of industrial requirements for the quality of cold rolled strips, flatness has become one of the most important indicators for measuring the quality of cold rolled strips. In this paper, the strip production data of a 1250 mm tan...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
10 Citations
5,871 Views
27 Pages

A Comprehensive Survey on Nanophotonic Neural Networks: Architectures, Training Methods, Optimization, and Activations Functions

  • Konstantinos Demertzis,
  • Georgios D. Papadopoulos,
  • Lazaros Iliadis and
  • Lykourgos Magafas

18 January 2022

In the last years, materializations of neuromorphic circuits based on nanophotonic arrangements have been proposed, which contain complete optical circuits, laser, photodetectors, photonic crystals, optical fibers, flat waveguides and other passive o...

(This article belongs to the Collection Machine Learning and AI for Sensors)
  • Article
  • Open Access
1,313 Views
21 Pages

This study generalizes and further develops methods for efficiently implementing artificial neural networks (ANNs) in the onboard computers of mobile robotic systems with limited resources, including unmanned aerial vehicles (UAVs). The neural networ...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
563 Views
17 Pages

A Novel Adaptive Activation Function for Convolutional Neural Networks: The Parametric Arctangent Unit (PATU)

  • Xuanzhi Liao,
  • Shahnorbanun Sahran,
  • Azizi Abdullah,
  • Syaimak Abdul Shukor and
  • Mohamed Deriche

4 June 2026

The activation function is a critical component in convolutional neural networks that perform nonlinear mappings between inputs and outputs. The rectified linear unit (ReLU) function is currently the baseline activation function in the deep learning...

(This article belongs to the Special Issue Asymmetry and Symmetry in Computer Vision and Pattern Recognition)
  • Article
  • Open Access
15 Citations
7,028 Views
15 Pages

Hardware-Based Activation Function-Core for Neural Network Implementations

  • Griselda González-Díaz_Conti,
  • Javier Vázquez-Castillo,
  • Omar Longoria-Gandara,
  • Alejandro Castillo-Atoche and ,
  • Roberto Carrasco-Alvarez,
  • Adolfo Espinoza-Ruiz and
  • Erica Ruiz-Ibarra
  • + 2 authors+ 0 author

Today, embedded systems (ES) tend towards miniaturization and the carrying out of complex tasks in applications such as the Internet of Things, medical systems, telecommunications, among others. Currently, ES structures based on artificial intelligen...

(This article belongs to the Special Issue Approximate Computing: Design, Acceleration, Validation and Testing of Circuits, Architectures and Algorithms in Future Systems)
  • Article
  • Open Access
34 Citations
5,049 Views
12 Pages

30 April 2020

The study has modeled shoreline changes by using a multilayer perceptron (MLP) neural network with the data collected from five beaches in southern Taiwan. The data included aerial survey maps of the Forestry Bureau for years 1982, 2002, and 2006, wh...

(This article belongs to the Special Issue Water Resources Management: Advances in Machine Learning Approaches)
  • Article
  • Open Access
1 Citations
2,136 Views
16 Pages

In this work, we perform univariate approximation with rates, basic and fractional, of continuous functions that take values into an arbitrary Banach space with domain on a closed interval or all reals, by quasi-interpolation neural network operators...

(This article belongs to the Special Issue Discrete Fractional Calculus, Local Fractional Inequalities, and Applications)
  • Article
  • Open Access
7 Citations
4,362 Views
15 Pages

Prediction of Protein Function from Tertiary Structure of the Active Site in Heme Proteins by Convolutional Neural Network

  • Hiroko X. Kondo,
  • Hiroyuki Iizuka,
  • Gen Masumoto,
  • Yuichi Kabaya and ,
  • Yusuke Kanematsu and
  • Yu Takano
  • + 1 author+ 0 author

9 January 2023

Structure–function relationships in proteins have been one of the crucial scientific topics in recent research. Heme proteins have diverse and pivotal biological functions. Therefore, clarifying their structure–function correlation is sig...

(This article belongs to the Collection Feature Papers in Molecular Structure and Dynamics)
  • Article
  • Open Access
15 Citations
4,639 Views
16 Pages

8 March 2020

Over the past few years, the Internet of Things (IoT) has been greatly developed with one instance being smart home devices gradually entering into people’s lives. To maximize the impact of such deployments, home-based activity recognition is r...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
1 Citations
579 Views
17 Pages

This study explores finite-time synchronization (FTS) in fractional-order quaternion-valued neural networks (FQVNNs) characterized by discontinuous activation functions and uncertainties in parameters. Initially, leveraging the properties of the Mitt...

(This article belongs to the Special Issue Advances in Fractional-Order Chaotic and Complex Systems)
  • Article
  • Open Access
32 Citations
7,226 Views
18 Pages

Fast Approximations of Activation Functions in Deep Neural Networks when using Posit Arithmetic

  • Marco Cococcioni,
  • Federico Rossi,
  • Emanuele Ruffaldi and
  • Sergio Saponara

10 March 2020

With increasing real-time constraints being put on the use of Deep Neural Networks (DNNs) by real-time scenarios, there is the need to review information representation. A very challenging path is to employ an encoding that allows a fast processing a...

(This article belongs to the Special Issue Applications in Electronics Pervading Industry, Environment and Society – Sensing Systems and Pervasive Intelligence)
  • Article
  • Open Access
3 Citations
1,997 Views
16 Pages

The Profile of Network Spontaneous Activity and Functional Organization Interplay in Hierarchically Connected Modular Neural Networks In Vitro

  • Yana Pigareva,
  • Arseniy Gladkov,
  • Vladimir Kolpakov,
  • Victor B. Kazantsev and ,
  • Irina Mukhina and
  • Alexey Pimashkin
  • + 1 author+ 0 author

Modern microtechnology methods are widely used to create neural networks on a chip with a connection architecture demonstrating properties of modularity and hierarchy similar to brain networks. Such in vitro networks serve as a valuable model for stu...

(This article belongs to the Section B: Biology and Biomedicine)
  • Article
  • Open Access
11 Citations
2,804 Views
13 Pages

Identification of Chaotic Dynamics in Jerky-Based Systems by Recurrent Wavelet First-Order Neural Networks with a Morlet Wavelet Activation Function

  • Daniel Alejandro Magallón-García,
  • Luis Javier Ontanon-Garcia,
  • Juan Hugo García-López,
  • Guillermo Huerta-Cuéllar and
  • Carlos Soubervielle-Montalvo

14 February 2023

Considering that chaotic systems are immersed in multiple areas of science and nature and that their dynamics are governed by a great sensitivity to the initial conditions and variations in their parameters, it is of great interest for the scientific...

(This article belongs to the Section Mathematical Physics)
  • Article
  • Open Access
23 Citations
4,092 Views
17 Pages

Pneumonia remains a significant cause of morbidity and mortality among pediatric patients worldwide. Accurate and timely diagnosis is crucial for effective treatment and improved patient outcomes. Traditionally, pneumonia diagnosis has relied on a co...

(This article belongs to the Topic Applied Computing and Machine Intelligence (ACMI))
  • Article
  • Open Access
27 Citations
4,588 Views
21 Pages

2 July 2021

Software estimation involves meeting a huge number of different requirements, such as resource allocation, cost estimation, effort estimation, time estimation, and the changing demands of software product customers. Numerous estimation models try to...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
85 Citations
6,499 Views
28 Pages

8 April 2020

Landslide susceptibility mapping is well recognized as an essential element in supporting decision-making activities for preventing and mitigating landslide hazards as it provides information regarding locations where landslides are most likely to oc...

(This article belongs to the Section Remote Sensing in Geology, Geomorphology and Hydrology)
  • Article
  • Open Access
3 Citations
1,357 Views
16 Pages

23 June 2025

Flight behavior in pigeons is governed by intricate neural mechanisms that regulate movement patterns and flight dynamics. Among various kinematic parameters, flight acceleration provides critical information for the brain to modulate movement intens...

(This article belongs to the Section Birds)
  • Article
  • Open Access
6 Citations
2,041 Views
15 Pages

Inkjet-printed circuits on flexible substrates are rapidly emerging as a key technology in flexible electronics, driven by their minimal fabrication process, cost-effectiveness, and environmental sustainability. Recent advancements in inkjet-printed...

  • Article
  • Open Access
14 Citations
4,535 Views
12 Pages

14 March 2019

It is well known that feed-forward neural networks can be used for approximation to functions based on an appropriate activation function. In this paper, employing a new sigmoidal function with a parameter for an activation function, we consider a co...

  • Article
  • Open Access
9 Citations
4,055 Views
22 Pages

This paper delves into the realm of human activity recognition (HAR) by leveraging the capabilities of Siamese neural networks (SNNs), focusing on the comparative effectiveness of contrastive and triplet learning approaches. Against the backdrop of H...

(This article belongs to the Special Issue Recent Advances in Wireless Ad Hoc and Sensor Networks)
  • Article
  • Open Access
18 Citations
4,349 Views
13 Pages

Enhanced Millimeter-Wave 3-D Imaging via Complex-Valued Fully Convolutional Neural Network

  • Handan Jing,
  • Shiyong Li,
  • Ke Miao,
  • Shuoguang Wang and ,
  • Xiaoxi Cui,
  • Guoqiang Zhao and
  • Houjun Sun
  • + 2 authors+ 0 author

To solve the problems of high computational complexity and unstable image quality inherent in the compressive sensing (CS) method, we propose a complex-valued fully convolutional neural network (CVFCNN)-based method for near-field enhanced millimeter...

(This article belongs to the Section Microwave and Wireless Communications)
  • Article
  • Open Access
43 Citations
8,083 Views
17 Pages

Effects of Nonlinearity and Network Architecture on the Performance of Supervised Neural Networks

  • Nalinda Kulathunga,
  • Nishath Rajiv Ranasinghe,
  • Daniel Vrinceanu,
  • Zackary Kinsman and ,
  • Lei Huang and
  • Yunjiao Wang
  • + 1 author+ 0 author

5 February 2021

The nonlinearity of activation functions used in deep learning models is crucial for the success of predictive models. Several simple nonlinear functions, including Rectified Linear Unit (ReLU) and Leaky-ReLU (L-ReLU) are commonly used in neural netw...

(This article belongs to the Special Issue Supervised and Unsupervised Classification Algorithms)
  • Article
  • Open Access
5 Citations
3,214 Views
16 Pages

We propose a neural-network-based watermarking method that introduces the quantized activation function that approximates the quantization of JPEG compression. Many neural-network-based watermarking methods have been proposed. Conventional methods ha...

(This article belongs to the Special Issue Robust Deep Learning Techniques for Multimedia Forensics and Security)
  • Article
  • Open Access
6 Citations
3,345 Views
22 Pages

A Periodic Mapping Activation Function: Mathematical Properties and Application in Convolutional Neural Networks

  • Xu Chen,
  • Yinlei Cheng,
  • Siqin Wang,
  • Guangliang Sang and ,
  • Ken Nah and
  • Jianmin Wang
  • + 1 author+ 0 author

3 September 2025

Activation functions play a crucial role in ensuring training stability, convergence speed, and overall performance in both convolutional and attention-based networks. In this study, we introduce two novel activation functions, each incorporating a s...

(This article belongs to the Special Issue Advances in Artificial Intelligence, Machine Learning and Optimization)
  • Proceeding Paper
  • Open Access
5 Citations
4,185 Views
10 Pages

I illustrate an approach that can be exploited for constructing neural networks that a priori obey physical laws. We start with a simple single-layer neural network (NN) but refrain from choosing the activation functions yet. Under certain conditions...

(This article belongs to the Proceedings of The 41st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering)
  • Article
  • Open Access
8 Citations
5,679 Views
16 Pages

An Optimized Convolutional Neural Network for the 3D Point-Cloud Compression

  • Guoliang Luo,
  • Bingqin He,
  • Yanbo Xiong,
  • Luqi Wang and ,
  • Hui Wang,
  • Zhiliang Zhu and
  • Xiangren Shi
  • + 2 authors+ 0 author

16 February 2023

Due to the tremendous volume taken by the 3D point-cloud models, knowing how to achieve the balance between a high compression ratio, a low distortion rate, and computing cost in point-cloud compression is a significant issue in the field of virtual...

(This article belongs to the Special Issue Multi-Unmanned Aerial Vehicle (Multi-UAV) for Autonomous Transportation)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,920 Views
10 Pages

3 October 2025

This work takes up the task of the determination of the rate of pointwise and uniform convergences to the unit operator of the “normalized cusp neural network operators”. The cusp is a compact support activation function, which is the com...

(This article belongs to the Special Issue Special Functions with Applications)
  • Article
  • Open Access
18 Citations
4,054 Views
17 Pages

24 November 2023

Suspension systems are critical parts of modern cars. In this study, a radial basis function neural networks-based adaptive PID optimal method is presented for vehicle suspension systems. To avoid the shortcoming that the parameters of PID control ar...

(This article belongs to the Special Issue Actuators and Dampers for Vibration Control: Damping and Isolation Applications - Volume II)
  • Feature Paper
  • Article
  • Open Access
3 Citations
1,028 Views
25 Pages

29 November 2024

In this article, we study the multivariate quantitative smooth approximation under differentiation of functions. The approximators here are multivariate neural network operators activated by the symmetrized and perturbed hyperbolic tangent activation...

  • Article
  • Open Access
1,545 Views
29 Pages

Study on Fast Temporal Prediction Method of Flame Propagation Velocity in Methane Gas Deflagration Experiment Based on Neural Network

  • Xueqi Wang,
  • Boqiao Wang,
  • Kuai Yu,
  • Wenbin Zhu and ,
  • Jinnan Zhang and
  • Bin Zhang
  • + 1 author+ 0 author

23 September 2024

To address the challenges of high experimental costs, complexity, and time consumption associated with pre-mixed combustible gas deflagration experiments under semi-open space obstacle conditions, a rapid temporal prediction method for flame propagat...

(This article belongs to the Section I2: Energy and Combustion Science)
  • Article
  • Open Access
32 Citations
5,915 Views
19 Pages

10 February 2023

The Squeeze-and-Excitation (SE) structure has been designed to enhance the neural network performance by allowing it to execute positive channel-wise feature recalibration and suppress less useful features. SE structures are generally adopted in a pl...

  • Article
  • Open Access
1 Citations
1,034 Views
18 Pages

13 May 2025

Essential neural-network operators are interpreted as positive linear operators, and the related general theory applies to them. These operators are induced by a symmetrized density function deriving from the parametrized and deformed A-generalized l...

(This article belongs to the Special Issue Symmetry and Asymmetry in Nonlinear Partial Differential Equations)
  • Article
  • Open Access
2 Citations
1,081 Views
16 Pages

Hypergeometric Functions as Activation Functions: The Particular Case of Bessel-Type Functions

  • Nelson Vieira,
  • Felipe Freitas,
  • Roberto Figueiredo and
  • Petia Georgieva

9 July 2025

The choice of the activation functions in neural networks (NN) are of paramount importance in the training process and the performance of NNs. Therefore, the machine learning community has directed its attention to the development of computationally...

  • Article
  • Open Access
248 Views
29 Pages

21 September 2026

The choice of activation functions and weight initialization strategies plays a critical role in the trainability and performance of deep neural networks. In deep architectures, improper weight initialization can lead to vanishing or exploding signal...

  • Article
  • Open Access
1 Citations
2,064 Views
37 Pages

13 September 2023

With high dimensionality and dependence in spatial data, traditional parametric methods suffer from the curse of dimensionality problem. The theoretical properties of deep neural network estimation methods for high-dimensional spatial models with dep...

  • Feature Paper
  • Article
  • Open Access
306 Views
26 Pages

13 July 2026

Basic fuzzy multicomposite neural network operators are interpreted as fuzzy positive linear operators, and the related general fuzzy theory is applied. These fuzzy operators are defined by the composition of seven well-known activation functions. We...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
2 Citations
1,338 Views
21 Pages

10 August 2024

In this article we present the Lp, p≥1, approximation properties of activated singular integral operators over the real line. We establish their approximation to the unit operator with rates. The kernels here come from neural network activation fu...

(This article belongs to the Special Issue Nonlinear Analysis and Its Applications in Symmetry II)
  • Article
  • Open Access
16 Citations
5,553 Views
16 Pages

30 August 2024

The physics-informed neural network (PINN) is an effective alternative method for solving differential equations that do not require grid partitioning, making it easy to implement. In this study, using automatic differentiation techniques, the PINN m...

(This article belongs to the Special Issue The Applications and Technologies of Structural Health Monitoring in Civil Structures)
  • Feature Paper
  • Article
  • Open Access
4 Citations
1,627 Views
19 Pages

9 July 2024

In this article, we study the approximation properties of activated singular integral operators over the real line. We establish their convergence to the unit operator with rates. The kernels here derive from neural network activation functions and t...

(This article belongs to the Special Issue Approximation Theory and Applications)
  • Article
  • Open Access
2 Citations
2,219 Views
16 Pages

In this work, three types of photopolymer printing plates for packaging printing were subjected to varied UV (ultraviolet radiation) post-treatments, and their surface free energy (SFE) components were calculated. SFE of the photopolymer printing pla...

(This article belongs to the Section Automation and Control Systems)
  • Review
  • Open Access
10 Citations
3,014 Views
25 Pages

28 May 2025

Zeroing Neural Networks (ZNNs), an ODE-based neural dynamics framework, has become a pivotal approach for solving time-varying problems in dynamic systems. This paper systematically reviews recent advances in improving the convergence of ZNN models,...

(This article belongs to the Special Issue Dynamical System and Stochastic Analysis, 2nd Edition)
  • Article
  • Open Access
32 Citations
8,250 Views
23 Pages

16 August 2022

CNNs and other deep learners are now state-of-the-art in medical imaging research. However, the small sample size of many medical data sets dampens performance and results in overfitting. In some medical areas, it is simply too labor-intensive and ex...

(This article belongs to the Collection Medical Image Classification)
  • Article
  • Open Access
11 Citations
2,905 Views
25 Pages

ReLU, Sparseness, and the Encoding of Optic Flow in Neural Networks

  • Oliver W. Layton,
  • Siyuan Peng and
  • Scott T. Steinmetz

22 November 2024

Accurate self-motion estimation is critical for various navigational tasks in mobile robotics. Optic flow provides a means to estimate self-motion using a camera sensor and is particularly valuable in GPS- and radio-denied environments. The present s...

(This article belongs to the Section Navigation and Positioning)
  • Article
  • Open Access
14 Citations
4,261 Views
13 Pages

4 June 2021

Deep learning models are based on a combination of neural network architectures, optimization parameters and activation functions. All of them provide exponential combinations whose computational fitness is difficult to pinpoint. The intricate resemb...

(This article belongs to the Special Issue Applications of Geometric Morphometrics and Computational Imaging)
  • Article
  • Open Access
16 Citations
3,874 Views
18 Pages

12 March 2024

Generative Adversarial Networks (GANs) have surfaced as a transformative approach in the domain of cryptography, introducing a novel paradigm where two neural networks, the generator (akin to Alice) and the discriminator (akin to Bob), are pitted aga...

(This article belongs to the Section Electrical, Electronics and Communications Engineering)

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