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1,809 Results Found

  • Article
  • Open Access
16 Citations
3,730 Views
17 Pages

8 September 2022

In this paper, a novel fault-tolerant control tactic for robot manipulator systems using only position measurements is proposed. The proposed algorithm is constructed based on a combination of a nonsingular fast terminal sliding mode control (NFTSMC)...

(This article belongs to the Special Issue 10th Anniversary of Actuators)
  • Article
  • Open Access
28 Citations
9,593 Views
31 Pages

Advanced Optimization Techniques for Federated Learning on Non-IID Data

  • Filippos Efthymiadis,
  • Aristeidis Karras,
  • Christos Karras and
  • Spyros Sioutas

13 October 2024

Federated learning enables model training on multiple clients locally, without the need to transfer their data to a central server, thus ensuring data privacy. In this paper, we investigate the impact of Non-Independent and Identically Distributed (n...

(This article belongs to the Section Big Data and Augmented Intelligence)
  • Article
  • Open Access
1 Citations
3,007 Views
15 Pages

4 February 2020

This paper describes a robust feedback technique involving novel fixed-time-convergent sliding mode technology (NFTCSMT) using improved quantum particle swarm optimization (QPSO) to obtain high-performance renewable energy inverters. Customary SMT en...

(This article belongs to the Special Issue Photovoltaic Power)
  • Article
  • Open Access
39 Citations
7,681 Views
22 Pages

25 February 2022

Federated learning promises an elegant solution for learning global models across distributed and privacy-protected datasets. However, challenges related to skewed data distribution, limited computational and communication resources, data poisoning,...

(This article belongs to the Section AI Systems: Theory and Applications)
  • Article
  • Open Access
3 Citations
1,290 Views
11 Pages

27 July 2025

In this paper, we introduce a new sequence, which approximates the Euler–Mascheroni constant γ and converges faster to its limit, with the convergence rate n−5. Also, for this constant, new inequalities are established. Our result,...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
2,990 Views
23 Pages

20 September 2024

In the rapidly evolving field of biometric authentication, deep learning has become a cornerstone technology for face detection and recognition tasks. However, traditional optimizers often struggle with challenges such as overfitting, slow convergenc...

  • Article
  • Open Access
6 Citations
2,926 Views
20 Pages

22 November 2019

In this study, a new optimal control law associated with the sliding mode control is developed for the linear time-varying system based on the Bolza-Meyer criterion. The salient characteristic of the controller proposed in this work is to have adjust...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
1,867 Views
19 Pages

Newton-like Normal S-iteration under Weak Conditions

  • Manoj K. Singh,
  • Ioannis K. Argyros and
  • Arvind K. Singh

8 March 2023

In the present paper, we introduced a quadratically convergent Newton-like normal S-iteration method free from the second derivative for the solution of nonlinear equations permitting f′(x)=0 at some points in the neighborhood of the root. Our...

(This article belongs to the Special Issue Mathematical Analysis Is the Theoretical Basis of a Number of Mathematical Disciplines)
  • Article
  • Open Access
32 Citations
5,057 Views
28 Pages

27 May 2020

Cooperative standoff tracking of moving targets is an important application of fixed-wing unmanned aerial vehicles (UAVs). To cope with the problem of long convergence time and unstable tracking in cooperative target tracking, traditional Lyapunov ve...

(This article belongs to the Section Robotics and Automation)
  • Article
  • Open Access
10 Citations
5,781 Views
20 Pages

Hybrid Second-Order Iterative Algorithm for Orthogonal Projection onto a Parametric Surface

  • Xiaowu Li,
  • Lin Wang,
  • Zhinan Wu,
  • Linke Hou and ,
  • Juan Liang and
  • Qiaoyang Li
  • + 1 author+ 0 author

5 August 2017

To compute the minimum distance between a point and a parametric surface, three well-known first-order algorithms have been proposed by Hartmann (1999), Hoschek, et al. (1993) and Hu, et al. (2000) (hereafter, the First-Order method). In this paper,...

(This article belongs to the Special Issue Advances in Computer Graphics, Geometric Modeling, and Virtual and Augmented Reality)
  • Article
  • Open Access
52 Citations
4,795 Views
23 Pages

25 December 2018

Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
14 Citations
4,218 Views
33 Pages

GOHBA: Improved Honey Badger Algorithm for Global Optimization

  • Yourui Huang,
  • Sen Lu,
  • Quanzeng Liu,
  • Tao Han and
  • Tingting Li

Aiming at the problem that the honey badger algorithm easily falls into local convergence, insufficient global search ability, and low convergence speed, this paper proposes a global optimization honey badger algorithm (Global Optimization HBA) (GOHB...

(This article belongs to the Special Issue Bio-Inspired Optimization Algorithms and Designs for Engineering Applications: 3rd Edition)
  • Article
  • Open Access
9 Citations
1,376 Views
16 Pages

11 March 2026

This paper examines income convergence in Europe by jointly analyzing European Union member states and Western Balkan economies over the period 2004–2023. While classical growth theory predicts that poorer economies should grow faster than rich...

(This article belongs to the Section Social Economics)
  • Article
  • Open Access
15 Citations
5,345 Views
16 Pages

17 June 2017

Initial alignment of the strapdown inertial navigation system (SINS) is intended to determine the initial attitude matrix in a short time with certain accuracy. The alignment accuracy of the quaternion filter algorithm is remarkable, but the converge...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
22 Citations
4,279 Views
20 Pages

16 January 2022

The aim of this paper is to propose a new faster iterative scheme (called AA-iteration) to approximate the fixed point of (b,η)-enriched contraction mapping in the framework of Banach spaces. It is also proved that our iteration is stable and con...

(This article belongs to the Special Issue New Progress in General Topology and Its Applications)
  • Article
  • Open Access
2,186 Views
8 Pages

18 March 2021

In this paper, we obtain the convergence rate for the high-dimensional sample quantiles with the φ-mixing dependent sequence. The resulting convergence rate is shown to be faster than that obtained by the Hoeffding-type inequalities. Moreover, the co...

  • Article
  • Open Access
16 Citations
5,023 Views
22 Pages

24 January 2024

5G cellular networks are already more than six times faster than 4G networks, and their packet loss rate, especially in the Internet of Vehicles (IoV), can reach 0.5% in many cases, such as when there is high-speed movement or obstacles nearby. In su...

(This article belongs to the Section Communications)
  • Article
  • Open Access
3 Citations
3,716 Views
22 Pages

11 July 2023

In this study, we developed a new faster iterative scheme for approximate fixed points. This technique was applied to discuss some convergence and stability results for almost contraction mapping in a Banach space and for Suzuki generalized nonexpans...

(This article belongs to the Special Issue Symmetry in Fixed Point Approaches and Nonlinear Functional Mathematical Equations)
  • Article
  • Open Access
9 Citations
3,031 Views
19 Pages

Based on the neoclassical framework, we propose the convergence hypothesis of carbon productivity under sustainable growth and prove the different effects of knowledge spillover and technology diffusion on convergence. The convergence hypothesis is t...

(This article belongs to the Special Issue Green Plan and Environmental Policy)
  • Article
  • Open Access
6 Citations
1,384 Views
26 Pages

21 February 2025

In this paper, a High-Efficiency Variable Parameter Double Integration Zeroing Neural Network (HEVPDIZNN) model combining variable parameter function and double integration is proposed to solve the time-varying Sylvester matrix equations, using the d...

  • Article
  • Open Access
1 Citations
1,210 Views
17 Pages

This study examines income convergence among EU NUTS-2 regions from 2000 to 2023 using a combination of Phillips-Sul (PS) club convergence methodology, β-convergence, and spatial econometric models. The results reveal that regional convergence i...

(This article belongs to the Section Economic Development)
  • Article
  • Open Access
15 Citations
4,758 Views
11 Pages

Cross-City Convergence in Urban Green Space Coverage in China

  • Yueju Wang,
  • Xingpeng Chen,
  • Zilong Zhang,
  • Bing Xue and
  • Chenyu Lu

29 August 2019

Cross-city convergence in green space coverage could contribute to our understanding of the law of motion of distribution dynamics of environmental sustainability across cities and provide crucial information for designing policies regarding complex...

(This article belongs to the Section Sustainable Urban and Rural Development)
  • Article
  • Open Access
18 Citations
4,667 Views
13 Pages

29 July 2021

Lipreading aims to recognize sentences being spoken by a talking face. In recent years, the lipreading method has achieved a high level of accuracy on large datasets and made breakthrough progress. However, lipreading is still far from being solved,...

(This article belongs to the Topic Applied Computer Vision and Pattern Recognition)
  • Article
  • Open Access
13 Citations
4,845 Views
18 Pages

16 January 2018

In this paper, we proposed a coarse-alignment method for strapdown inertial navigation systems based on attitude determination. The observation vectors, which can be obtained by inertial sensors, usually contain various types of noise, which affects...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
6 Citations
7,629 Views
9 Pages

A Geometric Orthogonal Projection Strategy for Computing the Minimum Distance Between a Point and a Spatial Parametric Curve

  • Xiaowu Li,
  • Zhinan Wu,
  • Linke Hou,
  • Lin Wang and ,
  • Chunguang Yue and
  • Qiao Xin
  • + 1 author+ 0 author

6 February 2016

A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton’s method, and it is insensitive to...

(This article belongs to the Special Issue Numerical Algorithms for Solving Nonlinear Equations and Systems)
  • Article
  • Open Access
3 Citations
1,739 Views
10 Pages

1 August 2004

Here we use a more convenient technique to generate a faster convergent Green's function needed for solving Laplace's equation in two cases: the first domain is bounded by two parallel planes; and the second is an infinite open rectangular prism. Gre...

  • Article
  • Open Access
1 Citations
1,477 Views
21 Pages

11 November 2025

This paper proposes an efficient iteration method for fixed-point approximation in Banach spaces. The method accelerates convergence by incorporating a squared operator term within the iteration process. Analytical proofs verify its convergence and s...

(This article belongs to the Special Issue Special Functions and Related Topics, 2nd Edition)
  • Article
  • Open Access
3,696 Views
13 Pages

4 June 2020

To solve a system of equations that needs few updates, such as sparse systems, the leading dichotomous coordinate descent (DCD) algorithm is better than the cyclic DCD algorithm because of its fast speed of convergence. In the case of sparse systems...

  • Article
  • Open Access
1,984 Views
13 Pages

13 April 2023

In this paper, we propose an alternated inertial projection algorithm for solving multi-valued variational inequality problem and fixed point problem of demi-contractive mapping. On one hand, this algorithm only requires the mapping is pseudo-monoton...

(This article belongs to the Special Issue Advances on Nonlinear Functional Analysis)
  • Article
  • Open Access
860 Views
15 Pages

A Principal Component Estimation Algorithm with Adaptive Learning Rate and Its Convergence Analysis

  • Yingbin Gao,
  • Haidi Dong,
  • Yuan Zhou,
  • Zhongying Xu and ,
  • Jing Li and
  • Kai Jin
  • + 1 author+ 0 author

6 November 2025

The deterministic discrete-time method is a dominant approach for analyzing neural network algorithms. To address the issue where conventional convergence conditions impose stringent restrictions on the range of learning factors, this paper proposes...

(This article belongs to the Special Issue Research and Application of Neural Networks)
  • Article
  • Open Access
1 Citations
907 Views
21 Pages

Two Modifications of MinSum Algorithm for Efficient System-Optimal Traffic Assignment

  • Nikica Hlupić,
  • Danko Basch,
  • Edouard Ivanjko and
  • Martin Gregurić

29 September 2025

Traffic assignment in large urban areas is an old but increasingly important problem because of the rapid growth of the world population and traffic demands. Many algorithms have been developed but their convergence rates and complexities are still p...

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
9 Citations
3,891 Views
17 Pages

31 May 2019

A novel transfer bees optimizer for reactive power optimization in a high-power system was developed in this paper. Q-learning was adopted to construct the learning mode of bees, improving the intelligence of bees through task division and cooperatio...

(This article belongs to the Special Issue Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes)
  • Article
  • Open Access
30 Citations
11,358 Views
16 Pages

Solow (1956) has made an essential contribution to the Neo-classical growth approach through the economic convergence hypothesis. It assumes that poorer countries’ or regions’ per capita incomes tend to grow at faster rates than the richer ones. Conv...

  • Article
  • Open Access
6 Citations
2,520 Views
19 Pages

2 February 2023

In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida vari...

(This article belongs to the Special Issue Applied Functional Analysis and Applications)
  • Article
  • Open Access
13 Citations
1,910 Views
20 Pages

15 August 2023

This paper introduces a novel two-step inertial algorithm for locating a common fixed point of a countable family of nonexpansive mappings. We establish strong convergence properties of the proposed method under mild conditions and employ it to solve...

(This article belongs to the Special Issue Advances in Fixed Point Theory and Its Applications)
  • Article
  • Open Access
6 Citations
2,366 Views
30 Pages

A New Robust Iterative Scheme Applied in Solving a Fractional Diffusion Model for Oxygen Delivery via a Capillary of Tissues

  • Godwin Amechi Okeke,
  • Akanimo Victor Udo,
  • Nadiyah Hussain Alharthi and
  • Rubayyi T. Alqahtani

28 April 2024

In this paper, we constructed a new and robust fixed point iterative scheme called the UO iterative scheme for the approximation of a contraction mapping. The scheme converges strongly to the fixed point of a contraction mapping. A rate of convergenc...

(This article belongs to the Special Issue Variational Inequality and Mathematical Analysis)
  • Article
  • Open Access
2 Citations
1,790 Views
13 Pages

Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application

  • Felix D. Ajibade,
  • Francis Monday Nkwuda,
  • Hussaini Joshua,
  • Taiwo P. Fajusigbe and
  • Kayode Oshinubi

8 November 2023

In the context of uniformly convex Banach space, this paper focuses on examining the strong convergence of the F* iterative algorithm to the fixed point of a strongly pseudocontractive mapping. Furthermore, we demonstrate through numerical methods th...

(This article belongs to the Special Issue Advanced Approximation Techniques and Their Applications)
  • Article
  • Open Access
1 Citations
334 Views
22 Pages

1 September 2026

This paper explores whether the adoption of renewable energy has accelerated income catch-up in Central and Eastern Europe. The analysis is based on the conditional beta convergence theory, which posits that, after controlling for steady-state differ...

  • Article
  • Open Access
14 Citations
4,699 Views
15 Pages

9 December 2021

In the aim of improving the positioning accuracy of the monocular visual-inertial simultaneous localization and mapping (VI-SLAM) system, an improved initialization method with faster convergence is proposed. This approach is classified into three pa...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
16 Citations
7,739 Views
16 Pages

Overrelaxed Sinkhorn–Knopp Algorithm for Regularized Optimal Transport

  • Alexis Thibault,
  • Lénaïc Chizat,
  • Charles Dossal and
  • Nicolas Papadakis

30 April 2021

This article describes a set of methods for quickly computing the solution to the regularized optimal transport problem. It generalizes and improves upon the widely used iterative Bregman projections algorithm (or Sinkhorn–Knopp algorithm). We first...

(This article belongs to the Section Evolutionary Algorithms and Machine Learning)
  • Article
  • Open Access
2 Citations
1,690 Views
19 Pages

9 August 2024

The Time-Varying Matrix Inversion (TVMI) problem is integral to various fields in science and engineering. Countless studies have highlighted the effectiveness of Zeroing Neural Networks (ZNNs) as a dependable approach for addressing this challenge....

(This article belongs to the Special Issue Differential Equations and Inverse Problems)
  • Article
  • Open Access
24 Citations
7,578 Views
25 Pages

Fractional Newton–Raphson Method Accelerated with Aitken’s Method

  • A. Torres-Hernandez,
  • F. Brambila-Paz,
  • U. Iturrarán-Viveros and
  • R. Caballero-Cruz

31 March 2021

In the following paper, we present a way to accelerate the speed of convergence of the fractional Newton–Raphson (F N–R) method, which seems to have an order of convergence at least linearly for the case in which the order α of the derivative is diff...

  • Article
  • Open Access
17 Citations
3,241 Views
15 Pages

23 December 2022

Regularization techniques are critical in the development of machine learning models. Complex models, such as neural networks, are particularly prone to overfitting and to performing poorly on the training data. L1 regularization is the most extreme...

  • Article
  • Open Access
4 Citations
2,400 Views
22 Pages

Analyzing the spatial difference and convergence of ecological common prosperity (ECP) in the Yellow River Basin (YRB) will be beneficial for the environmental governance and multi-regional economic coordination. Based on the panel data of 97 cities...

(This article belongs to the Special Issue Advances in Addressing Climate Change and the Low-Carbon Economy: Toward Sustainable Development)
  • Article
  • Open Access
17 Citations
3,160 Views
25 Pages

31 December 2024

Manipulator systems are increasingly deployed across various industries to perform complex, repetitive, and hazardous tasks, necessitating high-precision control for optimal performance. However, the design of effective control algorithms is challeng...

(This article belongs to the Special Issue Advancements in Nonlinear Control Strategies)
  • Article
  • Open Access
1 Citations
2,628 Views
19 Pages

This paper analyses the condition necessary to guarantee no divergence for Caputo’s fractional order gradient descent (C-FOG) algorithm on multivariate functions. C-FOG is self-organizing, computationally efficient, simple, and understandable....

(This article belongs to the Section Engineering)
  • Article
  • Open Access
13 Citations
2,690 Views
18 Pages

We have developed a Jungck version of the DK iterative scheme called the Jungck–DK iterative scheme. Our analysis focuses on the convergence and stability of the Jungck–DK scheme for a pair of non-self-mappings using the more general contractive cond...

  • Article
  • Open Access
1,388 Views
19 Pages

A New Fixed Point Iterative Scheme Applied to the Dynamics of an Ebola Delayed Epidemic Model

  • Godwin Amechi Okeke,
  • Rubayyi T. Alqahtani and
  • Ebube Henry Anozie

26 May 2025

In this paper, we introduce a fast iterative scheme and establish its convergence under a contractive condition. This new scheme can be viewed as an extension and generalization of existing iterative schemes such as Picard–Noor and UO iterative schem...

(This article belongs to the Special Issue Advanced Theories and Novel Methods for Nonlinear Analysis, Optimization and Applications)
  • Article
  • Open Access
2 Citations
1,620 Views
12 Pages

Fixed-Point Approximation of Operators Satisfying (RCSC)—Condition in CAT(0) Spaces

  • Naeem Saleem,
  • Kifayat Ullah,
  • Hossam A. Nabwey,
  • Hazrat Bilal and ,
  • Sharif Ullah and
  • Reny George
  • + 1 author+ 0 author

16 November 2023

In this research article, we have proved strong and Δ-convergence results for mapping satisfying (RCSC) condition via M-iteration process in CAT(0) spaces. Numerical examples are provided to show the superiority of our results over other existi...

(This article belongs to the Special Issue Fixed Point Theory and Its Applications in Nonlinear Analysis and Optimization)
  • Communication
  • Open Access
8 Citations
3,534 Views
12 Pages

A Novel NLMS Algorithm for System Identification

  • Jinwoo Yoo,
  • Bum Yong Park,
  • Won Il Lee and
  • JaeWook Shin

In this paper, we propose a novel normalized least mean squares (NLMS) algorithm for system identification applications. Our approach involves analyzing the mean squared deviation performance of the NLMS algorithm using a random walk model to select...

(This article belongs to the Special Issue Intelligence Control and Applications of Intelligence Robotics)

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