The “Projection-by-Projection” (PbP) criterion for multiaxial random fatigue loadings by Denis Benasciutti, Davide Zanellati, Alessandro Cristofori

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Numerical Study of Random Periodic Lipschitz Shadowing of Stochastic Differential Equations by Qingyi Zhan, Xiangdong Xie

“…The numerical implementation approaches to the shadowing distance by the random Romberg algorithm are presented, and the convergence of this method is also proved to be mean-square. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. …”
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Random Characteristics of Hydraulic Gradient through Three-Dimensional Multilayer Embankment by Xiaoming Zhao, Yulong Niu, Dongbin Cui, Mingming Hu

“…Based on Local Average Subdivision technique, a three-dimensional multilayer random field of embankment hydraulic conductivity was generated. …”
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Dynamic Response of Asymmetric and Nonlinear Packaging System under Random Excitation by Song-Ping Yang, Zhi-Wei Wang

“…This paper focuses on the dynamic response of three asymmetric and nonlinear packaging systems (ANPSs) of practical transport package under random excitation. Next to presenting the displacement probability density functions (PDFs) of ANPSs derived through FPK equations, the influences of the excitation grades and the characteristic parameters (such as the damping, the nonlinear stiffness, and the strain) of packaging cushion materials on the response are discussed in detail. …”
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Improving prediction of solar radiation using Cheetah Optimizer and Random Forest. by Ibrahim Al-Shourbaji, Pramod H Kachare, Abdoh Jabbari, Raimund Kirner, Digambar Puri, Mostafa Mehanawi, Abdalla Alameen

“…Consequently, this paper introduces an innovative SR prediction model, denoted as the Cheetah Optimizer-Random Forest (CO-RF) model. The CO component plays a pivotal role in selecting the most informative features for hourly SR forecasting, subsequently serving as inputs to the RF model. …”
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Large deviation theorems for weighted summation of Gamma-distribution random variables by Leonas Saulis

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Integrated photonic programmable random matrix generator with minimal active components by Kevin Zelaya, Mostafa Honari-Latifpour, Mohammad-Ali Miri

“…In manipulating classical light, random operations are utilized for random projections and dimensionality reduction, which are important for analog signal processing, computing, and imaging. …”
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On the Discrete-Time Geo/G/1 Queue with Vacations in Random Environment by Jianjun Li, Liwei Liu

“…A discrete-time Geo/G/1 queue with vacations in random environment is analyzed. Using the method of supplementary variable, we give the probability generating function (PGF) of the stationary queue length distribution at arbitrary epoch. …”
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. …”
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Unbiased Feature Selection in Learning Random Forests for High-Dimensional Data by Thanh-Tung Nguyen, Joshua Zhexue Huang, Thuy Thi Nguyen

“…Random forests (RFs) have been widely used as a powerful classification method. …”
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Random fixed point theorems for asymptotic 1-set contraction operators by P. Vijayaraju

“…Random fixed point theorems for condensing, 1-set contraction selfless are known. …”
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The Largest Component of Near-Critical Random Intersection Graph with Tunable Clustering by Shiying Huang, Bin Wang

“…In this paper, we study the largest component of the near-critical random intersection graph Gn,m,p with n nodes and m elements, where m=Θn which leads to the fact that the clustering is tunable. …”
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Cancelable Biometric Template Generation Using Random Feature Vector Transformations by Ragendhu S P, Tony Thomas, Sabu Emmanuel

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Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables by Dianliang Deng

“…Let {X,Xn¯;n¯∈Z+d} be a sequence of i.i.d. real-valued random variables, and Sn¯=∑k¯≤n¯Xk¯, n¯∈Z+d. Convergence rates of moderate deviations are derived; that is, the rates of convergence to zero of certain tail probabilities of the partial sums are determined. …”
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Research on Random Access of Satellite Internet of Things Based on Load Prediction by Xiwen MAO, Haitao WANG, Gengxin ZHANG

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On-Line Selection of c-Alternating Subsequences from a Random Sample by Robert W. Chen, Larry A. Shepp, Justín Ju-Chen Yang

“…In this paper, we present an optimal on-line procedure to select a -alternating subsequence from a symmetric distributed random sample. We also give the optimal selection rate when the sample size goes to infinity.…”
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Construction and Analysis of Hepatocellular Carcinoma Prognostic Model Based on Random Forest by Yikai Wang, Le Ma, Pengjun Xue, Bianni Qin, Ting Wang, Bo Li, Lina Wu, Liyan Zhao, Xiongtao Liu

“…Screen important genes based on the random forest method, combined with differential expression genes (DEGs) to screen out important DEGs. …”
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping by Hongwen Guo, Dihe Hu

“…We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals.…”
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Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices by Junshan Xie

“…This paper considers the precise asymptotics of the spectral statistics of random matrices. Following the ideas of Gut and Spătaru (2000) and Liu and Lin (2006) on the precise asymptotics of i.i.d. random variables in the context of the complete convergence and the second-order moment convergence, respectively, we will establish the precise second-order moment convergence rates of a type of series constructed by the spectral statistics of Wigner matrices or sample covariance matrices.…”
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