Predicting Geostationary (GOES) 4.1–30 keV Electron Flux Over All MLT Using LEEMYR Regression Models by L. E. Simms, N. Y. Ganushkina, M. van deKamp, M. W. Liemohn

“…Multiplicative interaction and polynomial terms describe synergistic and nonlinear effects. We reduce predictors to an optimal set using stepwise regression, resulting in models with validation comparable to a neural network. …”
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Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation by Xiaoqin Li

“…This paper uses partial differential equation image processing techniques to establish image texture analysis models based on nonlinear anisotropic diffusion equations for image denoising, image segmentation, and image decomposition. …”
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STUDY ON THE ANTI-COLLISION CHARACTERISTICS OF ALUMINUM FOAM SANDWICH PLATE PROTECTION DEVICE IN OFFSHORE WIND TURBINE by ZHAO XinLei, LI Chun, HAN ZhiWei

“…The vigorous development of offshore wind energy and dense routes have increased the probability of collision between ships and wind turbines. Based on the nonlinear dynamics theory,the conceptual design of the foam aluminum sandwich structure protection device is proposed. …”
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A machine learning model the prediction of athlete engagement based on cohesion, passion and mental toughness by Xin Zhang, Zhikang Lin, Song Gu

“…This advantage is mainly attributed to its strong generalization ability, nonlinear processing ability, and the ability to optimize and adapt to the feature space. …”
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Artificial Neural Network Modeling of Abrasion Loss and Surface Roughness of Crab Carapace Impregnated Coir Vinyl Ester Composites by S. Rajamuneeswaran, S. Jayabal, N. Nagaprasad, G. Veerappan, Leta Tesfaye Jule, Ramaswamy Krishnaraj

“…Low velocity integrated wear loss tests on composite samples were carried out, and also the average surface roughness is measured in the fabricated composites. Nonlinear regression equations were developed to study the correlation between tribological behaviors and fabrication parameters. …”
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Sulfhydryl Functionalized Magnetic Chitosan as an Efficient Adsorbent for High-Performance Removal of Cd(II) from Water: Adsorption Isotherms, Kinetic, and Reusability Studies by Jari S. Algethami, Ayoub Abdullah Alqadami, Saad Melhi, Mohsen A. M. Alhamami, Ahmed M. Fallatah, Moustafa A. Rizk

“…The adsorption was analyzed using nonlinear isotherm and kinetic models. The outcomes revealed that the adsorption process obeyed the Langmuir and the pseudo-first-order models. …”
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Prediction Model for Spontaneous Combustion of Coal around Boreholes Using Bedding Gas Drainage by Youxin Zhao, Qingjie Qi, Xinlei Jia

“…The results showed a nonlinear regression relationship between the sealing hole length, sealing hole depth, negative pressure, and coal seam depth and the spontaneous combustion of the coal around the gas drainage borehole; the prediction regression model is significant. …”
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A Review on Machine Learning Application in Biodiesel Production Studies by Yuanzhi Xing, Zile Zheng, Yike Sun, Masoome Agha Alikhani

“…Biodiesel production is an intricate process that requires identifying unknown nonlinear relationships between the system input and output data; therefore, accurate and swift modeling instruments like machine learning (ML) or artificial intelligence (AI) are necessary to design, handle, control, optimize, and monitor the system. …”
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A New Empirical Correlation for Estimation of EBF Steel Frame Behavior Factor under Near-Fault Earthquakes Using the Genetic Algorithm by Seyed Abdonnabi Razavi, Navid Siahpolo, Mehdi Mahdavi Adeli

“…To establish different geometrical properties of models, 3−, 6−, 9−, 12−, 15, and 20− story steel EBF frames were considered with 3 different types of link beam, 3 different types of column stiffness, and 3 different types of brace slenderness. Using nonlinear time history under 20 near-fault earthquake, all models were analyzed to reach 4 different performance levels. 6769 data were used as GA training data. …”
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Predictive Analysis of Economic Chaotic Time Series Based on Chaotic Genetics Combined with Fuzzy Decision Algorithm by Xiuge Tan

“…The irreversibility in time, the multicausality on lines, and the uncertainty of feedbacks make economic systems and the predictions of economic chaotic time series possess the characteristics of high dimensionalities, multiconstraints, and complex nonlinearities. Based on genetic algorithm and fuzzy rules, the chaotic genetics combined with fuzzy decision-making can use simple, fast, and flexible means to complete the goals of automation and intelligence that are difficult to traditional predicting algorithms. …”
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A Real-Time Embedded Control System for Electro-Fused Magnesia Furnace by Fang Zheng, Yang Jie, Tao Shifei, Wu Zhiwei, Chai Tianyou

“…Since smelting process of electro-fused magnesia furnace is a complicated process which has characteristics like complex operation conditions, strong nonlinearities, and strong couplings, traditional linear controller cannot control it very well. …”
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Research on Bridge Structure Reliability Evaluation due to Vessels Collison Based on a Statistical Moment Method by Tao Fu, Yang Liu, Zhixin Zhu

“…This paper combines the moment method theory of structural reliability with finite element analysis and proposes a statistical moment method based on finite element analysis for the calculation of vessel-bridge collision reliability, which solves the structural reliability problem with a nonlinear implicit performance function. According to the probability model based on current velocity, vessel velocity, and vessel collision tonnage, the estimate points in the standard normal space are converted into estimate points in the original state space through the Rosenblatt reverse transform. …”
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Physical Simulation of the Water-Conducting Fracture Zone of Weak Roofs in Shallow Seam Mining Based on a Self-Designed Hydromechanical Coupling Experiment System by Hao Zha, Weiqun Liu, Qinghong Liu

“…The relationship between fracture depth and coal-seam excavation distance is obviously nonlinear. The leakage velocity of surface water remains stable in the early stage of excavation and increases when the fracture develops through the main aquifuge. …”
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ON STABILITY OF THE OIL DISPLACEMENT FRONT UNDER CONDITIONS OF THERMOGAS IMPACT ON THE OIL BEARING LAYER by K. V. Dobrego

“…Further research into methods and mechanisms of the displacement front perturbation compensation, including the front dynamics at nonlinear stage, might be conducted via detailed 2D and 3D numerical simulation of the system.…”
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A Risk Assessment Algorithm for College Student Entrepreneurship Based on Big Data Analysis by Chengjun Zhou, DuanXu Wang

“…The changes in risk assessment for college student entrepreneurship are also dynamic and nonlinear and are affected by many factors, which make the risk assessment process for college student entrepreneurship quite complicated. …”
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Closed-Form Models of Accuracy Loss due to Subsampling in SVD Collaborative Filtering by Samin Poudel, Marwan Bikdash

“…We postulate and analyze a nonlinear subsampling accuracy loss (SSAL) model based on the root mean square error (RMSE) and two SSAL models based on the mean square error (MSE), suggested by extensive preliminary simulations. …”
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Dynamical system analysis for extended f(P) gravity coupled with scalar field by Ratul Mandal, Ujjal Debnath, Anirudh Pradhan

“…After presenting the field equation for the corresponding cosmological setup, we introduce some dimensionless variables and formulate a nonlinear autonomous system. For the different interaction scenarios, we have investigated the phase space and their physical characteristics and the dynamics of the cosmological solution associated with each critical point. …”
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Power flow analysis and volt/var control strategy of the active distribution network based on data-driven method by Chen Hui, Zhu Weiping, Liu Liguo, Shi Mingming, Xie Wenqiang, Zhang Chenyu

“…Firstly, the CatBoost machine learning model for the distribution network power flow analysis is proposed, and the nonlinear mapping relationship between the distribution network state and power flow results is described from the data-driven perspective. …”
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Detection of Cracks in Rotating Shafts by Using the Combination Resonances Approach and the Approximated Entropy Algorithm by Rodrigo Nicoletti, Aldemir A. Cavalini, Valder Steffen

“…However, these techniques fail for the cases in which incipient cracks are concerned. Recently, a nonlinear approach to detect cracks in rotating shafts was presented. …”
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Association between cardiometabolic index and hypertension among US adults from NHANES 1999–2020 by Tuo Guo, Yang Zhou, Guifang Yang, Lijuan Sheng, Xiangping Chai

“…Findings confirmed that hypertensive participants exhibited significantly higher CMI levels (median 0.46 vs. 0.73), with adjusted logistic regression showing a notable association between increased CMI and hypertension prevalence (OR 1.30, 95% CI 1.25–1.35, P < 0.01), characterized by a nonlinear L-shaped curve with a critical threshold identified at a CMI value of 1.37. …”
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