Association between the atherogenic index of plasma and long-term risk of type 2 diabetes: a 12-year cohort study based on the Japanese population by Qianxing Zhou, Yamei Wu, Mingkang Li

“…Cox proportional hazard regression models were employed to assess the association between AIP and T2D risk. The nonlinear association was examined using a restricted cubic spline (RCS) model. …”
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Correlation between neutrophil percentage-to-albumin ratio and all-cause and cerebrovascular mortality among hypertension patients by You Li, Cheng Yu

“…RCS regression analysis found a positive nonlinear correlation between NPAR and all-cause and cerebrovascular mortality of hypertension patients. …”
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Modeling of two-dimensional MoxW_1−xS_2ySe_2(1−y) alloy band structure by N. Yu. Pimenov, S. D. Lavrov, A. V. Kudryavtsev, A. Yu. Avdizhiyan

“…However, since the band gap in such structures is highly nonlinear as far as their chemical composition is concerned, it can be challenging to select the required concentration in order to achieve uniform absorption. …”
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Influence of Infill Wall Configuration on Failure Modes of RC Frames by Xiaojie Zhou, Xiaoyuan Kou, Quanmin Peng, Jintao Cui

“…Based on the experiment, nonlinear finite element simulation and analysis were conducted to study the effects of the infill walls and connections. …”
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Robust and Sparse Kernel-Free Quadratic Surface LSR via L_2,p-Norm With Feature Selection for Multi-Class Image Classification by Yongqi Zhu, Zhixia Yang, Junyou Ye, Yongxing Hu

“…In this study, a framework approach is introduced for the multi-classification problem based on the <inline-formula> <tex-math notation="LaTeX">$L_{2,p}$ </tex-math></inline-formula>-norm, utilizing more general loss functions and regularization terms, which is a robust sparse kernel-free quadratic surface least squares regression (RSQSLSR). The nonlinear relationship between features is addressed using a quadratic kernel-free technique combined with <inline-formula> <tex-math notation="LaTeX">$\epsilon $ </tex-math></inline-formula>-dragging technology and manifold regularization to learn soft labels, which can achieve the goal of feature selection and classification, simultaneously. …”
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A Novel LQI-Based Speed Control of Switched Reluctance Motors for High Performance Applications by Paulo M. Robson Costa, Marcelo Vinicius De Paula, Pedro J. Dos Santos Neto, Tarcio Andre Dos Santos Barros

“…However, controlling SRMs remains inherently complex due to their nonlinear characteristics and parameter variations at different operating points. …”
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Overall Stability Analysis of Xiluodu High Arch Dam Based on Fine Three-Dimension Numerical Modeling by Tianhui Ma, Zhiqiang Feng, Chun'an Tang, Peng Lin, Kedar Prasad Yadav

“…The simulation results show that, under normal load conditions, the dam foundation surface after comprehensive reinforcement has better overall stability, the stress and deformation of the dam body have good symmetry, and the overload factor of crack initiation under overload calculation K1 = 2P0 (P0 is normal water load), the nonlinear deformation overload factor K2 = 3.5–4P0, and the limit load factor K3 = 7.5–8.0P0, dam safety can be satisfied. …”
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The weight-adjusted-waist index predicts all-cause and cardiovascular mortality in hypertension by Yu Zheng, Zixing Nie, Yifan Zhang, Tao Sun

“…The relationship between WWI and mortality was assessed using a weighted Cox proportional risk model; the nonlinear relationship was explored using restricted cubic splines. …”
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Inversion for Geofluid Discrimination Based on Poroelasticity and AVO Inversion by Lingqian Wang, Hui Zhou, Bo Yu, Yanxin Zhou, Wenling Liu, Yukun Tian

“…In terms of the new linearized equation of the fluid modulus, we derive a novel linearized amplitude variation with offset (AVO) approximation to avoid the complicated nonlinear relationship between the fluid modulus and the reflectivity series. …”
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Reconstruction of the Radiation Belts for Solar Cycles 17–24 (1933–2017) by A. A. Saikin, Y. Y. Shprits, A. Y. Drozdov, D. A. Landis, I. S. Zhelavskaya, S. Cervantes

“…., 1933) to model the evolution radiation belt dynamics between L* = 1–6.6. A nonlinear auto regressive network with exogenous inputs (NARX) neural network was trained off GOES 15 measurements (January 2011–March 2014) and used to supply the upper boundary condition (L* = 6.6) over the course of solar cycles 17–24 (i.e., 1933–2017). …”
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Prediction of BlastInduced Ground Vibration (BIGV) of Metro Construction Using Difference Evolution AlgorithmOptimized Gaussian Process (DE-GP) by Tengfei Jiang, Annan Jiang, Shuai Zheng, Mengfei Xu

“…In view of the fact that traditional blasting peak particle velocity (PPV) empirical formulas cannot be accurately predicted, this study selected 88 sets of blasting monitoring data, based on distance from the blast-face, maximum charge per delay, total charge, hole depth, spacing, burden, stemming length, and powder factor being used as input variables and PPV being used as output variable to characterize BIGV. First, a nonlinear mapping relationship between input variables and output variable is established through the Gaussian process (GP). …”
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Investigation of a transformer-based hybrid artificial neural networks for climate data prediction and analysis by Shangke Liu, Ke Liu, Zheng Wang, Yuanyuan Liu, Bin Bai, Rui Zhao

“…While they have achieved some success, these models still face issues such as complexity, high computational cost, and insufficient handling of multivariable nonlinear relationships.MethodsIn light of this, this paper proposes a hybrid deep learning model based on Transformer-Convolutional Neural Network (CNN)-Long Short-Term Memory (LSTM) to improve the accuracy of climate predictions. …”
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Predefined-Time <italic>H</italic> _&#x221E; Cooperative Control for Multi-Robot Systems Based on Adjustable Prescribed Performance Control and Adaptive Command Filter by Haitao Liu, Weichen Li, Xin Huang, Xuehong Tian, Qingqun Mai

“…Third, the predefined-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> control theory is developed to guarantee that the nonlinear system has global predefined-time stabilization and that the <inline-formula> <tex-math notation="LaTeX">$L_{2}$ </tex-math></inline-formula> gain is less than <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>. …”
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Kinetic and isotherm studies of nickel and cadmium ions adsorption onto Clay-Chitosan composite by Rachid Et-Tanteny, Ibrahim Allaoui, Imad Manssouri, Bouchta El Amrani, Khalid Draoui

“…The obtained results revealed that the maximum adsorbed quantities obtained were 153.086 mg/g for Ni (II) and 61.093 mg/g for Cd (II), demonstrating the excellent performance of the composite. Nonlinear modeling of the kinetic and isotherm data demonstrated that the pseudo second order kinetic model best describes the adsorption kinetics of R2 = 0.994 for Cd (II) and R2 = 0.999 for Ni (II), with a rapid equilibrium time reached in 60 min. …”
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Cascaded neural network surrogate modeling for real-time decision-making in long-distance water supply distribution by Lin Shi, Jian Zhang, Sheng Chen, Yi Liu, Wenlong Zhao

“…In the proposed CNN model, the classification component identifies the number of pumps needed to meet system flow demands, while the regression component predicts target values for pump speeds and valve openings. Considering the nonlinear relationship between flow rate and regulating elements, flow error was introduced as an evaluation metric via Orthogonal-Triangular (QR) decomposition. …”
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Exponential Growth and Properties of Solutions for a Forced System of Incompressible Navier–Stokes Equations in Sobolev–Gevrey Spaces by José Luis Díaz Palencia

“…Utilizing the Banach fixed-point theorem, we demonstrate that the nonlinear operator associated with the Navier–Stokes equations is locally Lipschitz continuous in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>H</mi><mrow><mi>a</mi><mo>,</mo><mi>σ</mi></mrow><mn>1</mn></msubsup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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Fabrication of a poly(m‑aminophenol)/3-aminopropyl triethoxysilane/graphene oxide ternary nanocomposite for removal of Cu(II) from aqueous solution by Abeer S. Elsherbiny, Mohamed E. Elhalwagy, Ali H. Gemeay

“…Furthermore, the isotherm data of the uptake of Cu(II) on PmAP/APTES/GO(6.6) were found to agree with the Freundlich and Langmuir model’s linear and nonlinear forms. Chemosorption was suggested by the Dubinin-Radushkevich (D-R) isotherm model as the calculated mean sorption energy exceeds 16 kJ/mol. …”
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A Diagnostic Method for a Multi-Connected PEM-type Electrolysis System by Current Sweeping by Jiachen GE, Shinji FUJITA, Akira GUNJI, Motoyuki HIROOKA, Masatoshi SUGIMASA, Hiromu KAKUYA

“…Then, swept current and response voltage measurements are collected and subjected to linear and nonlinear regression based on an equivalent circuit, -R0-(R1, C1)-, to obtain its circuit parameters. …”
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Micromechanical modeling and evaluation of CNTs reinforced magnesium matrix composites based on stress softening modified constitutive model by Mingjie Shen, Baojian Han, Tao Ying, Jingya Wang, Liping Zhou, Xiangzhen Xue, Yang Gao, Zongyang Yang

“…Heterogeneous composites have strong anisotropy and are prone to dynamic recrystallization during hot compression, making the mechanical response highly nonlinear. Therefore, it is a very challenging task to intellectually judge the thermal deformation characteristics of magnesium matrix composites (MgMCs). …”
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Advances in Deep Brain Imaging with Quantum Dots: Structural, Functional, and Disease-Specific Roles by Tenesha Connor, Hemal Weerasinghe, Justin Lathia, Clemens Burda, Murat Yildirim

“…MPM, which relies on nonlinear photon absorption, enables fluorescence imaging within defined volumes, effectively reducing background noise and photobleaching. …”
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