A Penalization-Gradient Algorithm for Variational Inequalities by Abdellatif Moudafi, Eman Al-Shemas

“…Given Ψ:H→R  ∪  {+∞} which acts as a penalization function with respect to the constraint x̅∈C, and a penalization parameter βk, we consider an algorithm which alternates a proximal step with respect to ∂Ψ and a gradient step with respect to A and reads as xk=(I+λkβk∂Ψ)-1(xk-1-λkAxk-1). …”
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ESTIMATION OF THE CONCRETE PAVEMENT TEMPERATURE FIELDS AND THEIR GRADIENTS by M. K. Pshembaev, Ya. N. Kovalev, V. D. Akelyev

“…The paper presents the evaluation results in form of graphical curves of the temperature allocation along the surfacing thickness as function of its initial temperature and thermophysical characteristics of the concrete.…”
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Edge-preserving filter with adaptive gradient optimization by Wanshu Fan, Zhixun Su, Hongyan Wang, Nannan Li, Xuan Wang

“…The newly proposed adaptive function is feature-driven and makes the utmost of the image gradient, enabling the filter to remove low-amplitude structures and preserve key edges. …”
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A comparative machine learning study of schizophrenia biomarkers derived from functional connectivity by Victoria Shevchenko, R. Austin Benn, Robert Scholz, Wei Wei, Carla Pallavicini, Ulysse Klatzmann, Francesco Alberti, Theodore D. Satterthwaite, Demian Wassermann, Pierre-Louis Bazin, Daniel S. Margulies

“…Our study evaluates which connectome features derived from resting state functional MRI — functional connectivity, gradients, or gradient dispersion — best identify schizophrenia. …”
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MAL-Net: Model-Adaptive Learned Network for Slow-Time Ambiguity Function Shaping by Jun Wang, Xiangqing Xiao, Jinfeng Hu, Ziwei Zhao, Kai Zhong, Chaohai Li

“…Designing waveforms with a Constant Modulus Constraint (CMC) to achieve desirable Slow-Time Ambiguity Function (STAF) characteristics is significantly important in radar technology. …”
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An interior proximal gradient method for nonconvex optimization by De Marchi, Alberto, Themelis, Andreas

“…We consider structured minimization problems subject to smooth inequality constraints and present a flexible algorithm that combines interior point (IP) and proximal gradient schemes. While traditional IP methods cannot cope with nonsmooth objective functions and proximal algorithms cannot handle complicated constraints, their combined usage is shown to successfully compensate the respective shortcomings. …”
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Phase and amplitude gradient waveguide coupled metasurfaces by Yasaman Tanhayivash, Hadi Soofi, Saeid Nikmehr

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A New Approach to Topology Optimization with Genetic Algorithm and Parameterization Level Set Function by Igor Pehnec, Damir Sedlar, Ivo Marinic-Kragic, Damir Vučina

“…In this paper, a new approach to topology optimization using the parameterized level set function and genetic algorithm optimization methods is presented. …”
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Small- to Large-Scale Electron Beam Powder Bed Fusion of Functionally Graded Steels by Carlos Botero, William Sjöström, Emilio Jimenez-Pique, Andrey Koptyug, Lars-Erik Rännar

“…The present investigation explored the various methods used to adapt the PBF-EB process for the production of functionally graded materials (FGMs). In this way, two pre-alloyed powders—a stainless steel (SS) powder and a highly alloyed cold work tool steel (TS) powder—were combined during processing in an S20 Arcam machine. …”
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Electroencephalographic criteria of the functional outcome prognosis in the acute period of spontaneous supratentorial intracerebral hemorrhage by O. А. Koziolkin, A. A. Kuznietsov

“…Independent association with the risk of unfavorable functional outcome of SSICH in the acute period was proved for the following indexes of the spectral analysis of EEG pattern in the first 2 days from the onset of the disease: the relative delta band spectral power in the affected hemisphere (OR (95 % CI) = 1.18 (1.11–1.25), P ˂ 0.0001) and the fronto-occipital rhythm gradient of beta band in the affected hemisphere (OR (95 % CI) = 0.0007 (0.0001–0.0293), P = 0.0001). …”
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Functionally graded materials of SS316L and IN625 manufactured by direct metal deposition by Dev Singh D., Arjula Suresh, Raji Reddy A.

“…Direct metal deposition (DMD) is a layer-by-layer material addition process. Partial functionally graded material (FGM) blocks of size 26 mm wide × 34 mm thick × 32 mm height were 3D printed based on Taguchi’s L9 approach using a commercial DMD machine equipped with a diode laser. …”
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ECGNet: High-Precision ECG Classification Using Deep Learning and Advanced Activation Functions by Muhammad Abubakar, Ahsan Raza, Arfan Ali Nagra, Anas Bilal, Ahmad Alshammari, Monir Abdullah, Sahraoui Dhelim

“…The proposed AELU (Advanced Exponential Linear Unit) activation, with a learning rate of 0.001, addresses the vanishing gradient issues in ReLU and Sigmoid function, allowing the absolute values of the small negative gradient to be preserved, thereby introducing higher nonlinearity in the output and higher model flexibility. …”
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Fault diagnosis of nonlinear analog circuits using generalized frequency response function and LSSVM. by Jialiang Zhang, Yaowang Yang

“…A fault diagnosis method of nonlinear analog circuits is proposed that combines the generalized frequency response function (GFRF) and the simplified least squares support vector machine (LSSVM). …”
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Multiphysical contact of functionally graded magneto-electro-elastic material with imperfect bonding interface by Yijin Sui, Haibo Zhang, Jieliang Zhao, Wenzhong Wang

“…Abstract Three-dimensional (3D) frictional contact model of functionally graded magneto-electro-elastic (FGMEE) material with a conducting spherical punch under electromagnetic fields is presented. …”
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Optimization Design on Functionally Graded Cem for Trains Based on LPM Model with Calibrated Parameters by Ruixian Qin, Bingzhi Chen

“…Subsequently, a novel crash energy management (CEM) mode with functionally graded energy (FGE) configuration is introduced to the train crash model for improving crashworthiness performance. …”
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Investigation of influence of objective function valley ratio on the determination error of its minimum coordinates by A. V. Smirnov

“…By additionally taking into account the Euclidian norm of the objective function gradient in the termination point, R2 can be augmented to ~0.95. …”
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Plant functional traits related to aboveground tree biomass in cloud forests of southeastern Mexico by Noé Velázquez-Rosas, Elizabeth Fuentes Romero, Betsabé Ruiz-Guerra, Hugo López Rosas, Norma Eugenia García Calderón

“…In this study, we analyzed the relationship of functional responses (foliar and wood density) with aboveground tree biomass in cloud forest communities, with the purpose of identifying the causal factors determining the structural variation of these communities along an altitudinal gradient. …”
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Developing Geometry Based Criterion Function Method for Predicting Porosity in LM6 Castings by A. Sata, N. Maheta, H. Khandelwal, S.K. Gautam

“…Predictive method is crucial to solving this problem. Criterion function is a noteworthy empirical model that has been extensively studied in the literature. …”
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Changes in physico-chemical and functional properties of liquid egg white by ohmic heating process by M. Balakrishnan, A. Lilly Prasanna, A. Ramalakshmi, V. Vishnu Priya, P. Preetha, K. Thangavel

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P-GELU: A Novel Activation Function to Optimize Whisper for Darija Speech Translation by Maria Labied, Abdessamad Belangour, Mouad Banane

“…Activation functions play a critical role in optimizing deep learning models, directly influencing gradient flow, convergence stability, and overall translation accuracy. …”
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