Skip to Content

3,149 Results Found

  • Article
  • Open Access
13 Citations
3,418 Views
14 Pages

A Linear Interpolation and Curvature-Controlled Gradient Optimization Strategy Based on Adam

  • Haijing Sun,
  • Wen Zhou,
  • Yichuan Shao,
  • Jiaqi Cui and ,
  • Lei Xing,
  • Qian Zhao and
  • Le Zhang
  • + 2 authors+ 0 author

29 April 2024

The Adam algorithm is a widely used optimizer for neural network training due to efficient convergence speed. The algorithm is prone to unstable learning rate and performance degradation on some models. To solve these problems, in this paper, an impr...

  • Article
  • Open Access
5 Citations
3,769 Views
21 Pages

13 August 2020

Background and Objectives: Cardiovascular and cerebrovascular diseases caused by arterial stenosis and sclerosis are the main causes of human death. Although there are mature diagnostic techniques in clinical practice, they are not suitable for early...

(This article belongs to the Special Issue Electromagnetic Sensors for Biomedical Applications)
  • Article
  • Open Access
6 Citations
4,166 Views
10 Pages

Bioassay-Guided Separation of Centipeda minima Using Comprehensive Linear Gradient Centrifugal Partition Chromatography

  • Ji Hoon Kim,
  • Eun Ju Jung,
  • Yun Jung Lee,
  • En Mei Gao and ,
  • Ahmed Shah Syed and
  • Chul Young Kim
  • + 1 author+ 0 author

A comprehensive linear gradient solvent system for centrifugal partition chromatography (CPC) was developed for the bioassay-guided isolation of natural compounds. The gradient solvent system consisted of three different ternary biphasic solvents typ...

(This article belongs to the Special Issue Analytical and Preparative Hyphenation of Countercurrent Chromatography (CCC/CPC) to Structure Elucidation Methods in the Field of Natural Product Recovery and Identification)
  • Article
  • Open Access
15 Citations
3,846 Views
13 Pages

2 April 2024

The practical application of flexible pressure sensors, including electronic skins, wearable devices, human–machine interaction, etc., has attracted widespread attention. However, the linear response range of pressure sensors remains an issue....

(This article belongs to the Special Issue Polymer-Based Flexible Materials)
  • Article
  • Open Access
1,816 Views
17 Pages

1 December 2024

Multi-buoy sonar systems achieve target localization by receiving broadband Linear Frequency Modulation signals emitted from the transmitter. Accurate estimations of the parameters of Linear Frequency Modulation signals significantly enhance the loca...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
630 Views
25 Pages

8 July 2026

Bilevel optimization is a fundamental framework for hierarchical decision-making, but its solution is challenging due to the implicit and typically set-valued nature of the lower-level optimality condition. In this paper, we study bilevel optimizatio...

(This article belongs to the Special Issue Recent Advances in Mathematical Optimization and Its Applications)
  • Article
  • Open Access
3 Citations
2,529 Views
9 Pages

10 February 2022

To solve the L2-gradient flow-based phase-field crystal equation accurately and efficiently, we present a linear, second-order, and unconditionally energy-stable method. We first truncate the quartic function in the Swift–Hohenberg energy funct...

  • Article
  • Open Access
1,237 Views
18 Pages

Assessment of Non-Linear Lag Effects of Drought on Sectoral Stock Returns Using a Histogram Gradient Boosting Autoregressive Approach

  • Abhiram S. P. Pamula,
  • Negin Zamani,
  • Isael E. Gonzalez,
  • Kalyani Reddy Mallepally and ,
  • Sevda Akbari and
  • Mohammad Hadi Bazrkar
  • + 1 author+ 0 author

14 February 2026

Drought is a slow-onset hazard whose economic impacts can propagate across sectors with multi-year delays. This study develops a non-linear autoregressive model with exogenous drought inputs (ARX) to assess whether U.S. drought severity, measured by...

(This article belongs to the Special Issue Climate Change Adaptation Costs and Finance)
  • Article
  • Open Access
10 Citations
3,515 Views
10 Pages

2 October 2021

Toddalia asiatica (L.) Lam. (Rutaceae) has shown a broad spectrum of biological properties, such as anti-inflammatory, antioxidant, antimicrobial, anti-HIV, and anticancer properties. The present study is concerned with the separation of the main com...

(This article belongs to the Section Natural Products Chemistry)
  • Article
  • Open Access
7 Citations
2,746 Views
19 Pages

21 November 2023

Powered parafoils, known for their impressive load-bearing capacity and extended endurance, have garnered significant interest. However, the parafoil system is a highly complex nonlinear system. It primarily relies on the steering gear to change flig...

(This article belongs to the Special Issue Disruptive Trends in Automation Technology)
  • Article
  • Open Access
516 Views
24 Pages

10 September 2026

This paper presents the design, development, and evaluation of a machine-learning system built to forecast agricultural crop yields across Indian states between 2000 and 2026, together with a complementary, national-scale verification of predicted cr...

(This article belongs to the Special Issue Remote Sensing and Associated Artificial Intelligence in Agricultural Applications (2nd Edition))
  • Article
  • Open Access
7 Citations
4,858 Views
23 Pages

16 June 2017

The existing literature predominantly concentrates on the utilization of the gradient descent algorithm for control systems’ design in power systems for stability enhancement. In this paper, various flavors of the Conjugate Gradient (CG) algorithm ha...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
2,010 Views
14 Pages

27 September 2020

We consider the existence and uniqueness of the saturated classical solutions and the positive classical solutions to initial boundary value problems of semi-linear sub-diffusion with gradient terms. Applying this to the fractional power of the secto...

  • Article
  • Open Access
5 Citations
2,489 Views
35 Pages

28 April 2023

In this paper, a two-point step-size gradient technique is proposed by which the approximate solutions of a non-linear system are found. The two-point step-size includes two types of parameters deterministic and random. A new adaptive backtracking li...

(This article belongs to the Special Issue Numerical Analysis and Optimization: Methods and Applications)
  • Article
  • Open Access
1 Citations
2,696 Views
11 Pages

Non-Monotone Projected Gradient Method in Linear Elasticity Contact Problems with Given Friction

  • Lukáš Pospíšil,
  • Martin Čermák,
  • David Horák and
  • Jakub Kružík

19 October 2020

We are focusing on the algorithms for solving the large-scale convex optimization problem in linear elasticity contact problems discretized by Finite Element method (FEM). The unknowns of the problem are the displacements of the FEM nodes, the corres...

(This article belongs to the Special Issue Civil Engineering as a Tool for Developing a Sustainable Society)
  • Article
  • Open Access
29 Citations
4,884 Views
18 Pages

Gradient Boosting and Linear Regression for Estimating Coastal Bathymetry Based on Sentinel-2 Images

  • Fahim Abdul Gafoor,
  • Maryam R. Al-Shehhi,
  • Chung-Suk Cho and
  • Hosni Ghedira

9 October 2022

Thousands of vessels travel around the world every day, making the safety, efficiency, and optimization of marine transportation essential. Therefore, the knowledge of bathymetry is crucial for a variety of maritime applications, such as shipping and...

(This article belongs to the Section Environmental Remote Sensing)
  • Article
  • Open Access
3 Citations
4,019 Views
29 Pages

6 March 2025

In the wave of digital transformation and Industry 4.0, accurate time series forecasting has become critical across industries such as manufacturing, energy, and finance. However, while deep learning models offer high predictive accuracy, their lack...

(This article belongs to the Special Issue Applications of Cloud Computing, Big Data, and Data Dissemination in Information Engineering)
  • Article
  • Open Access
12 Citations
8,057 Views
33 Pages

30 January 2024

The study compares model approaches in predictive modeling for claim frequency and severity within the cross-border cargo insurance domain. The aim is to identify the optimal model approach between generalized linear models (GLMs) and advanced machin...

(This article belongs to the Special Issue Machine Learning and Artificial Intelligence in Non-life Insurance: Theory, Methods and Applications)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,708 Views
13 Pages

Locally Exact Integrators for the Duffing Equation

  • Jan L. Cieśliński and
  • Artur Kobus

10 February 2020

A numerical scheme is said to be locally exact if after linearization (around any point) it becomes exact. In this paper, we begin with a short review on exact and locally exact integrators for ordinary differential equations. Then, we extend our app...

(This article belongs to the Special Issue Geometric Numerical Integration)
  • Article
  • Open Access
2 Citations
3,145 Views
13 Pages

18 July 2019

In this paper, we propose the simultaneous sub-gradient projection algorithm with the dynamic step size (SSPA for short) for solving the multiple-sets split feasibility problem (MSSFP for short) and investigate its linear convergence. We involve a no...

  • Article
  • Open Access
29 Citations
4,214 Views
14 Pages

An Improved Medical Image Classification Algorithm Based on Adam Optimizer

  • Haijing Sun,
  • Wen Zhou,
  • Jiapeng Yang,
  • Yichuan Shao and ,
  • Lei Xing,
  • Qian Zhao and
  • Le Zhang
  • + 2 authors+ 0 author

14 August 2024

Due to the complexity and illegibility of medical images, it brings inconvenience and difficulty to the diagnosis of medical personnel. To address these issues, an optimization algorithm called GSL(Gradient sine linear) based on Adam algorithm improv...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
8 Citations
3,253 Views
17 Pages

19 December 2022

Due to the time delay and some unavoidable noise factors, obtaining a real-time solution of dynamic time-varying linear matrix equation (LME) problems is of great importance in the scientific and engineering fields. In this paper, based on the philos...

(This article belongs to the Special Issue AI Algorithm Design and Application)
  • Article
  • Open Access
339 Views
17 Pages

30 August 2026

Active waveguide Bragg gratings (AWBGs) combine the narrowband reflectivity of Bragg gratings with the optical gain of rare-earth-doped media, representing a versatile platform for monolithic lasers and amplifying reflectors. The lasing regime in the...

(This article belongs to the Special Issue Advanced Sensing Technologies in Thermal Measurements)
  • Article
  • Open Access
29 Citations
4,617 Views
16 Pages

Modern machine learning methods, such as tree ensembles, have recently become extremely popular due to their versatility and scalability in handling heterogeneous data and have been successfully applied across a wide range of domains. In this study,...

(This article belongs to the Special Issue Urban Geotechnical Engineering)
  • Article
  • Open Access
3,018 Views
16 Pages

20 September 2021

As a special class of non-negative matrix factorization, symmetric non-negative matrix factorization (SymNMF) has been widely used in the machine learning field to mine the hidden non-linear structure of data. Due to the non-negative constraint and n...

(This article belongs to the Special Issue Mathematical Modeling and Computational Methods in Science and Engineering III)
  • Article
  • Open Access
355 Views
17 Pages

21 July 2026

Optimal tracking control aims to steer a dynamical system along a desired reference trajectory while minimizing a prescribed performance cost. This problem becomes substantially more difficult when both the controlled system dynamics and the target d...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
6 Citations
1,195 Views
21 Pages

30 December 2025

This study presents a wide-linear-range flexible pressure sensor based on a gradient non-uniform porous structure. Through co-optimization of material composition and structural parameters, the sensor integrates high sensitivity, a broad linear respo...

(This article belongs to the Section Sensor Materials)
  • Article
  • Open Access
14 Citations
3,554 Views
18 Pages

Predicting Energy-Based CO2 Emissions in the United States Using Machine Learning: A Path Toward Mitigating Climate Change

  • Longfei Tian,
  • Zhen Zhang,
  • Zhiru He,
  • Chen Yuan and ,
  • Yinghui Xie,
  • Kun Zhang and
  • Ran Jing
  • + 2 authors+ 0 author

23 March 2025

Climate change is one of the most pressing global challenges that could potentially threaten ecosystems, human populations, and weather patterns over time. Impacts including rising sea levels and soil salinization are caused by climate change, primar...

  • Feature Paper
  • Article
  • Open Access
13 Citations
3,265 Views
24 Pages

Offset-Free Economic MPC Based on Modifier Adaptation: Investigation of Several Gradient-Estimation Techniques

  • Marco Vaccari,
  • Dominique Bonvin,
  • Federico Pelagagge and
  • Gabriele Pannocchia

20 May 2021

Various offset-free economic model predictive control schemes that include a disturbance model and the modifier-adaptation principle have been proposed in recent years. These schemes are able to reach plant optimality asymptotically even in the prese...

(This article belongs to the Section Process Control, Modeling and Optimization)
  • Article
  • Open Access
2 Citations
2,823 Views
17 Pages

The Gradient of Spontaneous Oscillations Across Cortical Hierarchies Measured by Wearable Magnetoencephalography

  • Xiaoyu Liang,
  • Yuyu Ma,
  • Huanqi Wu,
  • Ruilin Wang and ,
  • Ruonan Wang,
  • Changzeng Liu,
  • Yang Gao and
  • Xiaolin Ning
  • + 3 authors+ 0 author

The spontaneous oscillations within the brain are intimately linked to the hierarchical structures of the cortex, as evidenced by the cross-cortical gradient between parametrized spontaneous oscillations and cortical locations. Despite the significan...

(This article belongs to the Special Issue Technological Advances in Science, Medicine, and Engineering 2024)
  • Article
  • Open Access
1 Citations
2,213 Views
17 Pages

2 May 2024

Large-scale symmetric and asymmetric matrices have emerged in predicting the relationship between genes and diseases. The emergence of large-scale matrices increases the computational complexity of the problem. Therefore, using low-rank matrices inst...

(This article belongs to the Special Issue Nonlinear Science and Numerical Simulation with Symmetry)
  • Article
  • Open Access
310 Views
47 Pages

8 September 2026

In distributed optimization, communication bottlenecks and computational heterogeneity are two critical challenges that undermine system scalability and efficiency. To address these issues, we propose a synchronous algorithm, CC-GT (Conjugate Compres...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
3 Citations
3,350 Views
20 Pages

16 January 2025

In automotive millimeter-wave (MMW) radar systems, achieving high-precision direction of arrival (DOA) estimation with a limited number of array elements is a crucial research focus. Compressive sensing (CS) techniques have been demonstrated to offer...

  • Article
  • Open Access
45 Citations
5,533 Views
12 Pages

Image Watermarking Scheme Using LSB and Image Gradient

  • Zaid Bin Faheem,
  • Mubashir Ali,
  • Muhammad Ahsan Raza,
  • Farrukh Arslan and ,
  • Jehad Ali,
  • Mehedi Masud and
  • Mohammad Shorfuzzaman
  • + 2 authors+ 0 author

21 April 2022

In the modern age, watermarking techniques are mandatory to secure digital communication over the internet. For an optimal technique, a high signal-to-noise ratio and normalized correctional is required. In this paper, a digital watermarking techniqu...

  • Article
  • Open Access
28 Citations
7,271 Views
36 Pages

Devising Hourly Forecasting Solutions Regarding Electricity Consumption in the Case of Commercial Center Type Consumers

  • Alexandru Pîrjan,
  • Simona-Vasilica Oprea,
  • George Căruțașu,
  • Dana-Mihaela Petroșanu and ,
  • Adela Bâra and
  • Cristina Coculescu
  • + 1 author+ 0 author

27 October 2017

This paper focuses on an important issue regarding the forecasting of the hourly energy consumption in the case of large electricity non-household consumers that account for a significant percentage of the whole electricity consumption, the accurate...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
21 Citations
4,111 Views
15 Pages

30 April 2020

In this paper, a gradient descent algorithm is proposed for the parameter estimation of multi-input and multi-output (MIMO) total non-linear dynamic models. Firstly, the MIMO total non-linear model is mapped to a non-completely connected feedforward...

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II)
  • Article
  • Open Access
463 Views
20 Pages

14 July 2026

In this paper, we study the nonconvex quadratic programming over the intersection of two balls in n-dimensional complex space, which is called the uniform CDT subproblem and is significant in both optimization theory and applications. We first prove...

  • Article
  • Open Access
2 Citations
1,438 Views
17 Pages

Channel Estimation Using Linear Regression with Bernoulli–Gaussian Noise

  • Prerna Chaudhary,
  • B. R. Manoj,
  • Isha Chauhan and
  • Manav Bhatnagar

30 September 2025

This study introduces a novel mathematical framework for a machine learning algorithm tailored to address linear regression problems in the presence of non-Gaussian estimation noise. In particular, we focus on Bernoulli–Gaussian noise, which fr...

  • Article
  • Open Access
1 Citations
2,245 Views
18 Pages

This study introduces a fragmentation-based linear-scaling method for strongly correlated systems, specifically the divide-and-conquer Hartree–Fock–Bogoliubov (DC-HFB) approach. Two energy gradient formulations of the DC-HFB method are de...

(This article belongs to the Special Issue Open-Shell Systems—a Memorial Issue Dedicated to Professor Masayoshi Nakano)
  • Article
  • Open Access
641 Views
17 Pages

8 April 2026

Coal-mining subsidence lakes are an expanding artificial wetland type in China, yet the relationships between waterbird diversity components and water-quality and landscape gradients remain unclear. We conducted monthly point-count surveys from Janua...

(This article belongs to the Section Biodiversity Conservation)
  • Article
  • Open Access
39 Citations
5,493 Views
14 Pages

Deep Reinforcement Learning for Integrated Non-Linear Control of Autonomous UAVs

  • Adnan Fayyaz ud Din,
  • Imran Mir,
  • Faiza Gul,
  • Suleman Mir and ,
  • Nasir Saeed,
  • Turke Althobaiti,
  • Syed Manzar Abbas and
  • Laith Abualigah
  • + 3 authors+ 0 author

1 July 2022

In this research, an intelligent control architecture for an experimental Unmanned Aerial Vehicle (UAV) bearing unconventional inverted V-tail design, is presented. To handle UAV’s inherent control complexities, while keeping them computational...

(This article belongs to the Section Process Control, Modeling and Optimization)
  • Article
  • Open Access
7 Citations
4,778 Views
21 Pages

29 August 2019

The Lagrangian meshfree particle-based method has advantages in solving fluid dynamics problems with complex or time-evolving boundaries for a single phase or multiple phases. A pure Lagrangian meshfree particle method based on a generalized finite d...

(This article belongs to the Special Issue Symmetry and Fluid Mechanics)
  • Article
  • Open Access
1 Citations
1,581 Views
12 Pages

5 March 2025

In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered. The finite-difference technique is considered...

  • Article
  • Open Access
1,168 Views
31 Pages

Application of a Linear Hash Function in Adaptive Image Steganography

  • Elmira Daiyrbayeva,
  • Ekaterina Merzlyakova,
  • Aigerim Yerimbetova,
  • Lyailya Cherikbayeva and ,
  • Bekturgan Akhmetov,
  • Nurzhigit Smailov and
  • Gulmira Shangytbayeva
  • + 2 authors+ 0 author

This paper discusses an adaptive method of image steganography issues based on the application of a linear hash function over the GF (2) field to control the embedding process. The method uses staggered splitting of an image into 8 × 8-pixel bl...

  • Article
  • Open Access
2 Citations
1,944 Views
20 Pages

A Modified Iteration-Free SPGA Based on Removing the Linear Phase

  • Yi Xie,
  • Yuchen Luan,
  • Longyong Chen and
  • Xin Zhang

28 November 2023

In traditional Stripmap SAR imaging, the platform motion error will bring the phase error in the azimuthal direction to the image, which will have a series of effects on the imaging quality. The traditional autofocus algorithm—Stripmap Phase Gr...

(This article belongs to the Special Issue Advances in Synthetic Aperture Radar Data Processing and Application)
  • Article
  • Open Access
4 Citations
2,153 Views
27 Pages

17 April 2025

Remotely operated vehicles (ROVs) face challenges in achieving optimal trajectory tracking performance during underwater movement due to external disturbances and parameter uncertainties. To address this issue, this paper proposes a position and atti...

  • Article
  • Open Access
17 Citations
6,683 Views
17 Pages

9 March 2023

The current research has aimed to investigate and develop machine-learning approaches by using the data in the dataset to be applied to classify location-based social network data and predict user activities based on the nature of various locations (...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
2 Citations
1,582 Views
18 Pages

In the field of video image processing, high definition is one of the main directions for future development. Faced with the curse of dimensionality caused by the increasingly large amount of ultra-high-definition video data, effective dimensionality...

  • Article
  • Open Access
2,933 Views
15 Pages

18 January 2023

The proposal of local differential privacy solves the problem that the data collector must be trusted in centralized differential privacy models. The statistical analysis of numerical data under local differential privacy has been widely studied by m...

(This article belongs to the Section Intelligent Sensors)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,102 Views
11 Pages

Novel Deposition Technique for Fabricating Films with Customized Thickness Profiles

  • Chi-Yung Hsieh,
  • Yu-Chi Lin,
  • Xuan-Shan Huang,
  • Jing-Ting Lin and
  • Cheng-Sheng Huang

23 November 2024

This study introduces a novel deposition technique capable of depositing thin films with any arbitrary thickness profile. The apparatus consists of a fixed shadow mask and a rotating sample carrier plate. The shadow mask features a specifically desig...

of 63