Scattered Data Processing Approach Based on Optical Facial Motion Capture by Qiang Zhang, Xiaoying Liang, Xiaopeng Wei

“…To recover missing data, given the nonlinear relationships among neighbors with the current missing marker, we propose an improved version of a previous method, where we use the motion of three muscles rather than one to recover the missing data. …”
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Synthesis, Structural, Spectroscopic, and Hirshfeld Surface Analysis, and DFT Investigation of Benzaldehyde Semicarbazone by N. Sudha, S. Anbuselvi, Sudhakar Jyothula, A. Thiruppathi, B. Vijayakumar, Kartikeya Parmar, G. Puthilibai, Leevesh Kumar

“…By using single-crystal XRD, the nonlinear characteristics of the material were studied. …”
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Using Electrocardiogram Signal Features and Heart Rate Variability to Predict Epileptic Attacks by Ying Jiang, Yuan Feng, Danni Lu, Lin Yang, Qun Zhang, Haiyan Yang, Ning Li

“…In the proposed method, 12 features are extracted from the heart rate variability signal in time, frequency, time-frequency, and nonlinear domains to predict epileptic seizures. We used a multivariate statistical process control algorithm for abnormality detection. …”
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Experimental Research on Internal Behaviors of Caved Rocks under the Uniaxial Confined Compression by Yu-jiang Zhang, Guo-rui Feng, Ting-ye Qi

“…A stratification phenomenon of breakage was discovered, which presents breakage concentration in the middle of the sample. The nonlinear movement and shear dislocation induced by shifts among caved rocks are the reason of the breakage stratification phenomenon. …”
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Shear Behavior of RC Beams Strengthened by External Vertical Prestressing Rebar by Ying Li, Meizhong Wu, Weiqi Wang, Xingwei Xue

“…The objectives of this study are to simulate EVPR strengthening of concrete beams using a nonlinear three-dimensional finite element model and to explore its shear enhancement features under different EVPR stirrup ratios, vertical compressive stress degrees, and optimal arrangements of EVPRs. …”
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Translation Invariance-Based Deep Learning for Rotating Machinery Diagnosis by Wenliao Du, Shuangyuan Wang, Xiaoyun Gong, Hongchao Wang, Xingyan Yao, Michael Pecht

“…Although deep learning algorithms can automatically learn a good set of features without manual intervention, the lack of domain knowledge greatly limits the performance improvement, especially for nonstationary and nonlinear signals. This paper develops a multiscale information fusion-based stacked sparse autoencoder fault diagnosis method. …”
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A Review of Optical Interferometry for High-Precision Length Measurement by Guangyao Huang, Can Cui, Xiaoyang Lei, Qixue Li, Shuhua Yan, Xinghui Li, Guochao Wang

“…With regard to discussion on enhancement of measurement precision, special attention is given to periodic nonlinear errors and phase demodulation methods. This review offers insights into current challenges and potential future directions for improving interferometric measurement systems, and also emphasizes the role of innovative technologies in advancing precision metrology technology.…”
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Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation by Sohel Rana, Jeevan Kanesan, Ahmed Wasif Reza, Harikrishnan Ramiah

“…The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without the loss of initial nonlinear/high frequency response. To reduce the increased computational time by Tikhonov WCAWE using ML (TWCAWE-ML), another well-conditioned scheme, called mass effect (ME) T-WCAWE, is introduced. …”
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Novel Adaptive Bacteria Foraging Algorithms for Global Optimization by Ahmad N. K. Nasir, M. O. Tokhi, N. Maniha Abd. Ghani

“…In order to overcome such problems, novel linear and nonlinear mathematical relationships based on the index of iteration, index of bacteria, and fitness cost are adopted which can dynamically vary the step size of bacteria movement. …”
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Suspended Load Path Tracking Control Strategy Using a Tilt-Rotor UAV by M. A. Santos, B. S. Rego, G. V. Raffo, A. Ferramosca

“…An unscented Kalman filter (UKF) is designed for nonlinear state estimation of all the system states, assuming that available information is provided by noisy sensors with different sampling rates that do not directly measure the load’s attitude. …”
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Distributed Analytical Formation Control and Cooperative Guidance for Gliding Vehicles by Shengwei Jia, Xiao Wang, Fugui Li, Yulin Wang

“…The proposed method takes full consideration of the characteristics of hypersonic gliding vehicle, such as complex nonlinear dynamics, no thrust, and quasi-equilibrium gliding condition, and no online numerical iteration is needed, which is well applicable for hypersonic gliding vehicles. …”
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Influence of Body Mass Index on Inflammatory Profile at Admission in Critically Ill Septic Patients by Fernando G. Zampieri, Vanessa Jacob, Hermes V. Barbeiro, Fabiano Pinheiro da Silva, Heraldo P. de Souza

“…We found that levels of epidermal growth factor, vascular endothelial growth factor, and interleukins 4, 5, and 13 were associated with BMI in a complex, nonlinear way, independently of illness severity. Higher BMI was associated with higher levels of anti-inflammatory interleukins. …”
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Faults Detection Using Sliding Mode Observer and Its Application on Elevating Servo Systems by Lingfei Tian, Linfang Qian, Miao Li, Jiawei Fu

“…In practice, model uncertainty, nonlinearities, unknown disturbance, and output noise present enormous challenges to conduct fault detection of the system. …”
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Forecasting Daily Precipitation Using Hybrid Model of Wavelet-Artificial Neural Network and Comparison with Adaptive Neurofuzzy Inference System (Case Study: Verayneh Station, Naha... by Abazar Solgi, Vahid Nourani, Amir Pourhaghi

“…Recently artificial neural network (ANN) as a nonlinear interextrapolator is extensively used by hydrologists for precipitation modeling as well as other fields of hydrology. …”
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Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations by Yasir Arif, Rashid Mahmood, Mehdi Tlija, Afraz Hussain Majeed, Kamran Usman, Ehab Seif Ghith

“…This approach enables us to address the nonlinearities at each time step and apply direct, steady techniques. …”
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Extraction of Weak Scatterer Features Based on Multipath Exploitation in Radar Imagery by Muhannad Almutiry, Lorenzo Lo Monte, Michael C. Wicks

“…Modeling reflections from one target towards another as a transmitting dipole will add the multiple scattering effects to the scattering field and permit us to solve a linear inverse problem without sophisticated solutions of a nonlinear matrix in the forward model. Simulation results are presented to validate the concept.…”
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Image Super-Resolution Using Lightweight Multiscale Residual Dense Network by Shilin Li, Ming Zhao, Zhengyun Fang, Yafei Zhang, Hongjie Li

“…This method can not only reduce the redundancy of network parameters but also enhance the nonlinear mapping ability of the network at different scales. …”
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RESEARCH ON THE OPTIMAL SYNTHESIS OF A MULTI-CONTOUR MECHANISM by Dorin Bădoiu

“…The synthesis of mechanisms is a complex field of study that includes, in addition to the knowledge necessary for the correct configuration of working mechanisms and those necessary for their analysis, knowledge from the field of nonlinear programming that involves the calculation of the extrema of an objective function, possibly subject to some constraints. …”
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Modeling and Dynamic Analysis of Spherical Roller Bearing with Localized Defects: Analytical Formulation to Calculate Defect Depth and Stiffness by Behnam Ghalamchi, Jussi Sopanen, Aki Mikkola

“…The new dynamic model describes the contact forces between bearing rolling elements and race surfaces as nonlinear Hertzian contact deformations, taking radial clearance into account. …”
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Multimodal Green Logistics Network Design of Urban Agglomeration with Stochastic Demand by Jiehui Jiang, Dezhi Zhang, Shuangyan Li, Yajie Liu

“…To describe the game behaviors of logistics authorities in urban agglomeration, the problem is formulated as two nonlinear bilevel programming models, namely, independent and centralized decision models. …”
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