The Fréchet transform by Piotor Mikusiński, Morgan Phillips, Howard Sherwood, Michael D. Taylor

“…Let F1,…,FN be 1-dimensional probability distribution functions and C be an N-copula. Define an N-dimensional probability distribution function G by G(x1,…,xN)=C(F1(x1),…,FN(xN)). …”
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STRUCTURAL RELIABILITY OPTIMIZATION DESIGN OF REINFORCED SHELL STRUCTURE BASED ON ADAPTIVE SURROGATE MODEL by LIU Yuzhuo, CAO Lixiong, WU Jianguo, LI Haibo

“…Reinforced shell structure is widely used in aerospace load-bearing structures because its high specific stiffness and specific strength.By considering the uncertainty and risk factors in the structural parameters, the reliability-based design optimization (RBDO) can avoid the overly conservative design of the structure and ensure its reliability and safety.An efficient RBDO method based on adaptive surrogate model was proposed to solve the problem of lightweight design of reinforced shell structure under buckling reliability constraints.The adaptive addition of sample points was implemented through the expected feasibility function criterion, and the discrete variables was continued by constructing piecewise functions.This increases optimization efficiency while ensuring the reliability of design results.Finally, the effectiveness of the proposed method is verified by comparing the RBDO results with the deterministic optimization results.…”
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Development and validation of a nomogram for predicting cough variant asthma diagnosis by Jiao Min, Xiaomiao Tang, Di Zhang, Jin Yang, Fei Li, Wei Lei

“…Univariate and multivariate logistic regression analyses were employed to construct the model, and the accuracy and consistency of the prediction model were subsequently validated. …”
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MULTI-OBJECTIVE OPTIMIZATION OF VEHICLE/TRACK PARAMETERS BASED ON RBF NEURAL NETWORK SURROGATE MODEL by XIAO Qian, LUO Chao, OUYANG ZhiXu, CHANG Chao, LUO JiaWen

“…The RBF（ Radial Basis Function） neural network surrogate model that employed to explore the multi-objective optimization problems of vehicle and track parameters is to improve the dynamic performance of vehicles. …”
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Simulating Ising-Like Models on Quantum Computer by Andrey Andreev, Pavel Khrapov

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Fuzzy Comprehensive Evaluation of Aging State of Silicone Rubber Sheds of Composite Insulators by Sihua WANG, Long CHEN, Junjun WANG, Lei ZHAO

“…The membership of each index is obtained by constructing the membership function of the evaluation indexes, and the weight of each index is given with the combined weight method of improved analytic hierarchy process (AHP) and entropy weight method. …”
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A Data-Driven Iterative Feedforward Tuning Strategy with a Variable-Gain Feedback Controller for Linear Servo Systems by Jiaqian Fu, Shanhu Li

“…This strategy makes the dynamic tracking error due to Coulomb friction behave as a continuous and easy-to-construct window function, which makes the feedforward basis function vector consistent with the dimensionality of the dynamic tracking error. …”
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Towards Nonlinearity: The <i>p</i>-Regularity Theory by Ewa Bednarczuk, Olga Brezhneva, Krzysztof Leśniewski, Agnieszka Prusińska, Alexey A. Tret’yakov

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H_&#x221E; Dynamic Output Feedback Control for Asynchronously Switched Systems: Dwell Time Dependent Control Method by Fugui Deng, Haoxu Wang, Jiandong Guo, Boyu Wang, Yongqing Fu, Weizhong Chen

“…Firstly, grounded in the constructed Lyapunov function, a stability and <inline-formula> <tex-math notation="LaTeX">$\mathcal {L}_{2}$ </tex-math></inline-formula>-gain criterion is presented for the considered system. …”
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A generalization of Gauss principle to the space spanned by arbitrary-order derivative of acceleration and its application to nonholonomic mechanics by Yi Zhang

“…Secondly, three kinds of arbitrary-order Gauss principles in generalized coordinates are derived. Thirdly, by constructing the generalized compulsion function of nonholonomic systems, the arbitrary-order Gauss principles are extended to nonholonomic systems, and Appell equations, Lagrange equations and Nielsen equations are derived.…”
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Enhanced Video Anomaly Detection Through Dual Triplet Contrastive Loss for Hard Sample Discrimination by Chunxiang Niu, Siyu Meng, Rong Wang

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Short-Term Power Load Forecasting Based on DPSO-LSSVM Model by Shujun Ji, Linhao Zhang, Jinteng Wang, Tao Wei, Jiadong Li, Bu Ling, Jinglong Xu, Zuoping Wu

“…A short-term load forecasting model based on least squares support vector machine is constructed, and the optimal parameters of the model are established. …”
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A Non-Rigid Three-Dimensional Image Reconstruction Algorithm Based on Deformable Shape Reliability by Haiying Chen, Syed Atif Moqurrab

“…Our algorithm models the dynamic non-rigid shape basis as a low-rank matrix composed of image points and depth factors, improving the restoration of non-rigid shape base changes and providing accurate parameters for constructing objective functions. By leveraging manifold alignment and physical continuity constraints, our method optimizes the function structures. …”
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Sustainable Gift Packaging Design Based on KANO-AHP-QFD by Jiajia Fan, Wei Wang

“…The resulting sustainable gift-packaging solution not only met users’ functional and aesthetic demands but also significantly elevated their environmental awareness. …”
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Influence of particle size and dielectric environment on radiative lifetimes of colloidal cadmium selenide single photon emitters by V. Manojkumar, Geetha K. Varier, Radhika Vathsan, P. Nandakumar

“…Detailed analysis of the second-order correlation function ( $$g^{(2)}(\tau )$$ ) of single-photon emission from cadmium selenide quantum dots reveals the particle-size dependence of emission lifetimes. …”
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SAC-Based Intelligent Load Relief Attitude Control Method for Launch Vehicles by Shou Zhou, Hao Yang, Shifeng Zhang, Xibin Bai, Feng Wang

“…The reward function dynamically switches between stages using a time factor. …”
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Credit Default Risk Measurement and Statistical Analysis Based on Improved GRU Model by Zhifei Yi

“…Therefore, the management of credit default risk has become particularly important. This study constructs a new credit default risk assessment model by improving the gated recurrent unit algorithm and introducing Focal Loss function and fuzzy clustering algorithm. …”
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Day-Ahead Planning and Scheduling of Wind/Storage Systems Based on Multi-Scenario Generation and Conditional Value-at-Risk by Jianhong Zhu, Shaoxuan Chen, Caoyang Ji

“…An objective function is subsequently formulated, incorporating electricity sales revenue, energy storage operation and maintenance cost, initial state-of-charge (<i>SOC</i>) cost, peak–valley arbitrage income, and penalties for schedule deviations. …”
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Acute kidney disease in hospitalized pediatric patients: risk prediction based on an artificial intelligence approach by Lingyu Xu, Siqi Jiang, Chenyu Li, Xue Gao, Chen Guan, Tianyang Li, Ningxin Zhang, Shuang Gao, Xinyuan Wang, Yanfei Wang, Lin Che, Yan Xu

“…Predictive models were constructed using eight machine learning algorithms and two ensemble algorithms, with the optimal model identified through AUROC. …”
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A preliminary study on regulation of macrophages phenotype and anti-tumor effects by PRTN3 by GUO Anjing, CHEN Chong, LUO Yunping

“…Objective To investigate the effect of knockdown PRTN3 on polarization phenotype and anti-tumor function of macrophages in breast cancer. Methods A mouse monocyte/macrophage cell line(RAW264.7) with knockdown of PRTN3 was constructed. …”
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