Research on coal mine robot positioning algorithm based on integration of ORB-SLAM3 vision and inertial navigation by Wei CHEN, Shuaida WU, Zijian TIAN, Fan ZHANG, Yi LIU

“…According to the principle of tight coupling of visual inertial navigation, the residual function of the whole positioning system is constructed by fusing visual residual error and IMU residual error, and the sliding window BA algorithm based on nonlinear optimization is used to iteratively optimize the residual function to obtain accurate pose estimation of the mobile robot. …”
Get full text

Lulu Filterized Lin’s correlative Theil-Sen regression-based fully connected deep multilayer perceptive neural network for eye gaze pattern recognition by Rathi K., Srinivasan K.

“…In input layer, number of gaze images is collected. Then using Lulu nonlinear smoothing filtering method is applied in initial hidden layer for removing noise as well as enhancing image quality. …”
Get full text

Exploring chaos and sensitivity in the Ivancevic option pricing model through perturbation analysis. by Adil Jhangeer, Ali R Ansari, Ariana Abdul Rahimzai, Beenish, Abdul Qadeer Khan

“…This study explores the Ivancevic Option Pricing Model, a nonlinear wave-based alternative to the Black-Scholes model, using adaptive nonlinear Schrödingerr equations to describe the option-pricing wave function influenced by stock price and time. …”
Get full text

Estimating Fixed Points via New Iterative Scheme with an Application by Mohd Jubair, Javid Ali, Santosh Kumar

“…For supporting the main results, we give a couple of nontrivial numerical examples, and the visualization is shown by using the Matlab program. Finally, the solution of a nonlinear fractional differential equation is approximated by operating the main result of the paper.…”
Get full text

Cloud Service for Interactive Simulation of Interregional Trade by A. S. Velichko, V. V. Gribova, L. A. Fedorishchev

“…The mathematical formulation of the problem belongs to the class of convex mathematical programming problems and assumes the numerical solution of nonlinear optimization problem with linear constraints. …”
Get full text

An epidemical model with nonlocal spatial infections by Su Yang, Weiqi Chu, Panayotis Kevrekidis

“…Finally, we propose a data-driven methodology based on the sparse identification of nonlinear dynamics (SINDy) to identify approximate closed-form dynamical equations for such quantities. …”
Get full text

CBMAP: Clustering-Based Manifold Approximation and Projection for Dimensionality Reduction by Berat Dogan

“…Dimensionality reduction methods are employed to decrease data dimensionality, either to enhance machine learning performance or to facilitate data visualization in two or three-dimensional spaces. Among these, popular nonlinear methods such as t-SNE, UMAP, TriMap, and PaCMAP excel in capturing local relationships and nonlinear structures. …”
Get full text

Dependence modeling in general insurance using local Gaussian correlations and hidden Markov models by Afazali Zabibu, Gundersen Kristian, Kasozi Juma, Omala Saint Kizito, Støve Bård

“…This article introduces a hybrid framework that combines local Gaussian correlation (LGC) with hidden Markov models (HMMs) to model dynamic and nonlinear dependencies in general insurance claims, thereby addressing the limitations of static copula methods. …”
Get full text

ADAPTIVE COMPRESSING OF THE HIGH DYNAMIC RANGE OF DIGITAL RADAR SATELLITE IMAGES by V. V. Starovoitov

“…To solve the problem, it is proposed to use a nonlinear logarithmic transformation with a parameter calculated from the original images. …”
Get full text

RecNet: Reinforcement Common Feature Mapping Network for Fast Template Matching in Visible-LWIR Images by Donyung Kim, Seungeon Lee, Inho Park, Geonjong Kim, Sungho Kim

“…We present RecNet, a novel end-to-end CNN approach for fast template matching in cross-spectral images, addressing nonlinear intensity disparities and appearance differences in ground-level imagery through a simple yet effective design. …”
Get full text

Slim multi-scale convolutional autoencoder-based reduced-order models for interpretable features of a complex dynamical system by Philipp Teutsch, Philipp Pfeffer, Mohammad Sharifi Ghazijahani, Christian Cierpka, Jörg Schumacher, Patrick Mäder

Get full text

Large-scale-aware data augmentation for reduced-order models of high-dimensional flows by Philipp Teutsch, Mohammad Sharifi Ghazijahani, Florian Heyder, Christian Cierpka, Jörg Schumacher, Patrick Mäder

Get full text

Comprehensive review of dimensionality reduction algorithms: challenges, limitations, and innovative solutions by Aasim Ayaz Wani

“…This review introduces a unified classification—linear, nonlinear, hybrid, and ensemble approaches—and assesses them against eight core challenges: dimensionality selection, overfitting, instability, noise sensitivity, bias, scalability, privacy risks, and ethical compliance. …”
Get full text

Mineral-Pore Integration: A new perspective by Shuheng Du

Get full text

Bifurcation, chaotic behavior, and traveling wave solutions for the fractional (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili model by Li Zhao, Jiang Yueyong

“…In order to illustrate the propagation of these solutions in the field of nonlinear optics and water wave models, some three-dimensional, two-dimensional, and contour maps are drawn. …”
Get full text

On the study of multiple wave profiles and hybrid phenomena to the newly developed multi-component Gross-Pitaevskii system and stability analysis by Muhammad Bilal, Shafqat Ur Rehman, Yazen M. Alawaideh, Ioan-Lucian Popa, Bashar M. Al-khamiseh

“…The aforementioned techniques provide a robust foundation for examining the nonlinear phenomena encountered in numerous physical domains. …”
Get full text

Research on a fast solution method of levitation electromagnetic fields based on the calculus of variations by LIU Shuai, DENG Chuyan

“…The advantages of data visualization and accessibility during the calculation process enhance flexibility in the post-processing of results. …”
Get full text

Exploring the diagnostic potential: magnetic particle imaging for brain diseases by Li-Shuang Guo, Yu An, Ze-Yu Zhang, Chen-Bin Ma, Jia-Qian Li, Zhen Dong, Jie Tian, Zhen-Yu Liu, Jian-Gang Liu

“…Magnetic particle imaging (MPI) is a novel imaging technique with high sensitivity, high temporal resolution, and no ionizing radiation. It relies on the nonlinear magnetization response of superparamagnetic iron oxide nanoparticles (SPIONs), allowing visualization of the spatial concentration distribution of SPIONs in biological tissues. …”
Get full text

Stability analysis and numerical simulations of a discrete-time epidemic model by Iqbal M. Batiha, Mohammad S. Hijazi, Amel Hioual, Adel Ouannas, Mohammad Odeh, Shaher Momani

Get full text

Risk Assessment for Water Disaster of Karst Tunnel Based on the Weighting of Reliability Measurement and Improved Extension Cloud Model by Yingli Jiang, Jie Cui, Hao Liu, Yanlong Zhang

“…Risk assessment of water disaster in karst tunnels is a nonlinear, complex, and uncertain system problem. Based on the reliability measurement method and extension cloud theory, the reliability measurement weighting and improved extension cloud model are established for the risk assessment of water disaster in karst tunnels. …”
Get full text