Harmonic Bernoulli strings and random permutations by Eugenius Manstavičius

“… We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. …”
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A Labeled Multi-Bernoulli Filter Based on Maximum Likelihood Recursive Updating by Yuhan Song, Han Shen-Tu, Junhao Lin, Yizhen Wei, Yunfei Guo

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Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The Kuralay-II system (K-IIS) plays a pivotal role in modeling sophisticated nonlinear wave processes, particularly in the field of optics. This study introduces novel soliton solutions for the K-IIS, derived using the Riccati–Bernoulli sub-ODE method combined with Bäcklund transformation and conformable fractional derivatives. …”
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Improved SMC cardinality-balanced multi-Bernoulli forwardbackward smoothing track-before-detect algorithm by Jiazheng PEI, Yong HUANG, Yunlong DONG, Xiaolong CHEN

“…For the tracking problem of multiple maneuvering targets in radar observation,the sequential Monte-Carlo cardinality-balanced multi-Bernoulli track-before-detect (SMC-CBMeMBer-TBD) algorithm is inaccurate in the estimation of the number of targets and the precision of state estimation.An improved algorithm based on SMC-CBMeMBer forward backward smoothing track-before-detect algorithm was proposed.In the algorithm,the multi target particle swarm optimization (MOPSO) was added between the process of prediction and update,and the fitness function was set up based on the observation value to make the particle set move to the position of the larger posterior probability density distribution,and solve the particle poverty in the heavy sampling process.In the update step,the algorithm was used.Then the smoothing recursive method was added,and the arithmetic operation time was prolonged,but the number and the state estimation precision were improved.The simulation results show that compared with the CBMeMBer-TBD method,the proposed algorithm improves the accuracy of the estimation of the number of maneuvering targets and the accuracy of the target state estimation.…”
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Asymptotic behavior of the empirical checkerboard copula process for binary data: An educational presentation by Christian Genest, Johanna G. Nešlehová

“…The purpose of this note is to provide a detailed description of this asymptotic result and to derive an expression for the limit of the process in the simplest possible case in which the data form a random sample of pairs of Bernoulli random variables. …”
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Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process by Cheng Zhang, Jianrun Zhang

“…The bending vibration of tensioned ball screw under nonuniform stress in the cutting process is analyzed in this paper. Differential equation of a beam under nonuniform prestress is derived according to Euler–Bernoulli beam theory. …”
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Mathematical model of working processes of piston hybrid power machine of volumetric action with reduced fluctuations of gas pressure in discharge line by V. E. Scherba, A. V. Grigor’ev, A. V. Zanin

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Storm-based distributed sampling system for multi-source stream environment by Wonhyeong Cho, Myeong-Seon Gil, Mi-Jung Choi, Yang-Sae Moon

“…In this article, we propose a novel distributed processing model of binary Bernoulli sampling to solve these coordinator bottleneck and communication overhead problems. …”
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Analytical equation for the mesopore size distribution function of open cylindrical capillaries by VV Kutarov, E Schieferstein

“…Because of a lack of strictly theoretically based equations for the adsorption process by capillary condensation, a mathematical adaptation to measured data is done by the Bernoulli equation. …”
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Fourier Descriptor Pada Klasifikasi Daun Herbal Menggunakan Support Vector Machine Dan Naive Bayes by Mutmainnah Samir, Purnawansyah, Herdianti Darwis, Fitriyani Umar

“…Adapun hasil dari metode Naive bayes dengan ekstraksi FD pada kernel multinomial menghasilkan akurasi tertinggi sebesar 83% pada terang, sedangkan kernel Bernoulli memberikan akurasi terendah sebesar 46% pada skenario gelap dan terang. …”
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Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout by Wen-Min Zhou, Jiang-Wen Xiao

“…The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus protocol with weighted graph is proposed to address the packet dropout phenomenon. …”
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Finite-Horizon Robust Kalman Filter for Uncertain Attitude Estimation System with Star Sensor Measurement Delays by Hua-Ming Qian, Wei Huang, Biao Liu

“…Combined with the misalignment errors and scale factor errors of gyros in the process model and the misalignment errors of star sensors in the measurement model, the uncertain attitude estimation model can be established, which indicates that uncertainties not only appear in the state and output matrices but also affect the statistic of the process noise. …”
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ANALYSIS OF VIBRATION CHARACTERISTICS OF THE PROJECTILE-BARREL COUPLING SYSTEM CONSIDERING THE INITIAL DEFLECTION OF THE BARREL by DI ChangChun, QIN JunQi, FANG Yu, YANG YuLiang

“…In order to study the vibration characteristics of gun barrel under the action of moving projectile in gun launching process, taking an artillery gun for example, based on the Euler-Bernoulli beam theory, the coupled equations of vibration of a moving projectile elastic tube coupled with the initial deflection of the tube body are established. …”
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Vibration Suppression Method of a Hydraulic Flexible Manipulator based on the System of Piezoelectric Feedback Driven by Luo Tianhong, Miao Changbin, Xu Xiangyang, Ma Xiangyu, Li Fuying

“…In order to suppress the vibration in the end of large double-link hydraulic flexible manipulator,taking the heavy load hydraulic flexible mechanical arm as the study object and aiming at the end of arm movement in the process of vibration phenomenon,by the servo-hydraulic system-Euler Bernoulli model,Lagrange equation and Jacobian matrix,a piezoelectric feedback driven system control method is designed,through the end of the robot arm equipped with sensitive piezoelectric transmitter,piezoelectric actuators and inversion control design methods,the movement of servo hydraulic cylinder vibration,the hydraulic cylinder with manipulator friction and manipulator rod elastic vibration influence of the hydraulic flexible manipulator end vibration are studied. …”
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VB-Based Gaussian Sum Cubature Kalman Filter for Adaptive Estimation of Unknown Delay and Loss Probability by Ruipeng Wang, Xiaogang Wang, Haojie Zhang

“…First, the measurement model with MRMDL is modified by Bernoulli random variables. Then, the expression of the likelihood function is reformulated as a mixture of multiple Gaussian distributions, and the cubature rule is used to improve the estimation accuracy under the framework of Gaussian sum filter in the process of time update. …”
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Longitudinal Deformation Model and Parameter Analysis of Canal Lining under Nonuniform Frost Heave by Pengfei He, Jianhua Dong, Xin Ren, Xiaolei Wu

“…Therefore, during the frost heaving process, the internal force of lining is coupled with these two elements. …”
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Random sums of random vectors and multitype families of productive individuals by I. Rahimov, H. Muttlak

“…We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in n-type indecomposable critical branching stochastic processes with types of individuals T1,…,Tn.…”
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Facilitating automated fact-checking: a machine learning based weighted ensemble technique for claim detection by Md. Rashadur Rahman, Rezaul Karim, Mohammad Shamsul Arefin, Pranab Kumar Dhar, Gahangir Hossain, Tetsuya Shimamura

“…This paper proposes a novel ensemble machine learning framework for the effective detection of claims in a low-resource language like Bangla, a critical initial step in the automated fact-checking process. The proposed weighted ensemble technique combines Support Vector Machines, Bernoulli Naive Bayes, and Decision Trees as base classifiers to effectively detect claims. …”
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RadiomixNet: Integrating Radiomics and Feature Extraction for Advanced Pneumonia Diagnosis by Rahul Gowtham Poola, Siva Sankar Yellampalli

“…The dataset, consisting of chest X-ray images, was pre-processed using techniques such as denoising, resizing, and enhancement to ensure uniformity and high image quality. …”
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Theoretical analysis of bearing mechanism and engineering application of pipe roof in a highway tunnel by Jian Zhang, Weiyu Sun, Songhong Yan, Yonggang Wang, Hui Zhu, Wen Wang

“…Abstract Establishing a reasonable and precise theoretical model for pipe roof is crucial for advancing pre-support technology in tunnel construction. By considering the processes of tunnel excavation and support, as well as the reduced constraint reaction force on the pipe roof in unexcavated section due to the disturbance at the tunnel face, this paper establishes a load-structure model for pipe roof based on the Euler-Bernoulli beam theory. …”
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