The Prediction of Metro Shield Construction Cost Based on a Backpropagation Neural Network Improved by Quantum Particle Swarm Optimization by Lanjun Liu, Denghui Liu, Han Wu, Xinyu Wang

“…The model accounts for the complexity of metro shield construction and the nonlinear relationship between the construction cost factors. …”
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Air Pollution Forecasting Using Artificial and Wavelet Neural Networks with Meteorological Conditions by Qingchun Guo, Zhenfang He, Shanshan Li, Xinzhou Li, Jingjing Meng, Zhanfang Hou, Jiazhen Liu, Yongjin Chen

“…In this study, we used correlation analysis and artificial neural networks (ANNs; including wavelet ANNs [WANNs]) to identify the linear and nonlinear associations, respectively, between the air pollution index (API) and meteorological variables in Xi’an and Lanzhou. …”
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A new continuous optimization method of standardized cubic permanent magnets for stellarators by Xiangyu Zhang, Dehong Chen, Guosheng Xu, Zhiyuan Lu, Caoxiang Zhu, Liang Chen, Minyou Ye, Baonian Wan

“…This paper introduces a novel method that converts the discrete optimization problem into a continuous nonlinear optimization problem, enabling the direct application of well-established nonlinear optimization algorithms. …”
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Investigating the compressive behavior of zeolite-based porous mechanical metamaterials by Dosung Lee, JunHo Song, Kyoungmin Min, Namjung Kim

“…Notably, the nonlinear group exhibited a higher average Young’s modulus (0.403 MPa), compressive stress (0.780 MPa), and energy absorption (139,498 J/m3) than other groups, while the linear group exhibited an average Young’s modulus per volume fraction 9.52 % higher than other groups. …”
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Spontaneous Overgrowth of Jointing in the Working Chambers of Power Gas-Liquid Thermal Installations – Diffusion Dynamic Processes by T. V. Ryzhova, D. N. Bukharov, M. M. Arakelian, S. M. Arakelian

“…The issues of the formation of inhomogeneities and cracks as well as the effects of their spontaneous healing are considered on the well-known principles and concepts of nonlinear dynamics and quantum technologies in order to fully describe the picture of possible processes of the genesis of heterogeneities and their self-organization. …”
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Analysis of water based Casson hybrid nanofluid (NiZnFe2O4+MnZnFe2O4) flow over an electromagnetic actuator with Cattaneo–Christov heat-mass flux: A modified Buongiorno model by S. Baskaran, R. Sowrirajan, S. Divya, S. Eswaramoorthi, K. Loganathan

“…Using suitable variables, the governing coupled nonlinear partial differential equations are transformed into ordinary differential equations, which are solved using MATLABs bvp4c solver. …”
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Association of serum calcium level with periodontitis: a cross-sectional study from NHANES 2009–2014 by Hongliang Cao, Min Wang, Mengna Duan, Song Wang, Haiyang Zhang

“…Smoothing curve fitting indicated a nonlinear negative correlation between calcium levels and periodontitis, though without a significant inflection point at 2.48 mmol/L (p = 0.094).ConclusionElevated serum calcium levels appear to be associated with a lower risk of periodontitis in adults. …”
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Improving a Low Axial Resolution Due to Improper Wavelength Calibration in Spectral-Domain Optical Coherence Tomography by Mengsi Zhang, Songjie Luo, Osami Sasaki, Ziyang Chen, Jixiong Pu

“…In experiment, a sample of reflecting mirror was used to obtain the nonlinear phase and the optimized coefficient for correcting the spectral-resolved interference signals of tapes and chicken breast. …”
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Robust <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> Fault-Tolerant Observer-Based PID Path Tracking Control of Autonomous Ground Vehicle With C... by Bor-Sen Chen, Hao-Ting Liu, Ruei-Syuan Wu

“…To simplify the design procedure, a novel path reference-based feedforward linearization scheme is proposed to transform nonlinear dynamic AGV system to an equivalent linear tracking error system with nonlinear actuator signal. …”
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Exploring the relationship between the uric acid to high-density lipoprotein cholesterol ratio and depression: a cross-sectional study from NHANES by Jiawen Liu, Xiaobing Zhang, Tianwei Meng, Xingyi Wang, Long Wang

“…Smooth curve fitting and threshold effect analyses were used to evaluate the nonlinear relationship and effect size between UHR and depression. …”
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Optimization problems in liquefied natural gas transport and storage for multimodal transport companies by Hongyu Zhang, Yiwei Wu, Lu Zhen, Yong Jin, Shuaian Wang

“…Therefore, this study formulates a nonlinear mixed-integer programming model for a multimodal transport and storage problem to optimize LNG carrier allocation, LNG storage planning, and LNG transport planning, aiming to minimize the total cost of multimodal transport, minus the rewards offered by ports. …”
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Exact controllability for systems describing plate vibrations. A perturbation approach by Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius

“…We also discuss the possible application of the methods in this paper to systems described by Schrödinger type equations on manifolds or by the related Berger’s nonlinear plate equation.…”
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Association between the systemic immunity-inflammation index and stroke: a population-based study from NHANES (2015–2020) by Rui Shi, Ye Tian, Junbiao Tian, Qiming Liu, Jiayun Zhang, Zhe Zhang, Yaping Sun, Zhanwei Xie

“…Moreover, we found an nonlinear relationship between SII and stroke with an inflection point of 740 (1,000 cells /µl) by using a two-segment linear regression model. …”
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Protecting digital assets using an ontology based cyber situational awareness system by Tariq Ammar Almoabady, Yasser Mohammad Alblawi, Ahmad Emad Albalawi, Majed M. Aborokbah, S. Manimurugan, Ahmed Aljuhani, Hussain Aldawood, P. Karthikeyan

“…The Isolation Forest algorithm excels in anomaly detection in high-dimensional datasets, while autoencoders provide nonlinear detection capabilities and adaptive feature learning. …”
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Mathematical model for droplet size prediction of gas-water nozzle based on orthogonal experiment by Xin WANG, Wenpu LI, He SHAO, Yiyi ZHENG, Yurong GAO, Xi CHEN

“…The calculated values of the multivariate nonlinear prediction model are consistent with the experimental results, and the average relative error is 8.0%, which can be used to predict the droplet size of air atomization nozzle.…”
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A New Mathematical Model for Cell Layout Problem considering Rotation of Unequal Dimensions of Cells and Machines by Raheleh Alamiparvin, Esmaeil Mehdizadeh, Hamed Soleimani

“…For this purpose, a mixed nonlinear programming model was developed to solve the CLP with the minimum cost of intracellular and intercellular material flows. …”
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Effect of the Preexisting Fissure with Different Fillings in PMMA on Blast-Induced Crack Propagation by Xin Yang, Xiangguo Zeng, Chuanjin Pu, Dingjun Xiao

“…The experiment of explosive loading was carried out by a single detonator, and the dynamic crack propagation process of the experimental specimens was simulated by nonlinear dynamics software AUTODYN. The results show that the blast-induced cracks are the most favorable and unfavorable to propagate when θ = 0° and θ = 45°, respectively. …”
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Triglyceride-glucose index in predicting the risk of new-onset diabetes in the general population aged 45 years and older: a national prospective cohort study by Yingqi Shan, Qingyang Liu, Tianshu Gao

“…In addition, there was a nonlinear relationship between TyG index and diabetes. …”
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Comparative Analysis of Re-Identification Methods of Multi-Criteria Decision Analysis Models by Bartlomiej Kizielewicz, Jakub Wieckowski, Bogdan Franczyk, Jaroslaw WaTrobski, Wojciech Salabun

“…Addressing the challenge of re-identifying decision models brings up issues related to updating the last version of models to preserve their effectiveness, particularly in nonlinear decision scenarios. Common MCDA methods, which are based on linearity assumptions, encounter difficulties when dealing with nonlinearity, making it necessary to investigate practical methods for re-identifying nonlinear models. …”
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The heart rate on admission was associated with the mortality in elderly patients with hip fractures: a retrospective cohort study from a trauma centre in northwestern China by Zhi Yang, Wei-Song Zhang, Shao-Hua Chen, Bin-Fei Zhang

“…However, the linear association was unstable, and we found a nonlinear one. In the nonlinear association, the inflection point was 84 beats per minute. …”
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