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Dynamic Multi-Graph Spatio-Temporal Graph Traffic Flow Prediction in Bangkok:An Application of a Continuous Convolutional Neural Network

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Computer Modeling in Engineering & sciences 2025年第1期142卷 579-607页

作者： Pongsakon Promsawat Weerapan Sae-dan Marisa Kaewsuwan Weerawat Sudsutad Aphirak Aphithana Department of Civil Engineering Faculty of EngineeringRamkhamkaeng UniversityBangkok10240Thailand Department of Computer Engineering Faculty of EngineeringRamkhamkaeng UniversityBangkok10240Thailand Department of statistics Faculty of ScienceRamkhamkaeng UniversityBangkok10240Thailand

The ability to accurately predict urban traffic flows is crucial for optimising city ***,various methods for forecasting urban traffic have been developed,focusing on analysing historical data to understand complex mobility *** learning techniques,such as graph neural networks(GNNs),are popular for their ability to capture spatio-temporal ***,these models often become overly complex due to the large number of hyper-parameters *** this study,we introduce Dynamic Multi-Graph Spatial-Temporal Graph Neural Ordinary Differential Equation Networks(DMST-GNODE),a framework based on ordinary differential equations(ODEs)that autonomously discovers effective spatial-temporal graph neural network(STGNN)architectures for traffic prediction *** comparative analysis of DMST-GNODE and baseline models indicates that DMST-GNODE model demonstrates superior performance across multiple datasets,consistently achieving the lowest Root Mean Square Error(RMSE)and Mean Absolute Error(MAE)values,alongside the highest *** the BKK(Bangkok)dataset,it outperformed other models with an RMSE of 3.3165 and an accuracy of 0.9367 for a 20-min interval,maintaining this trend across 40 and 60 ***,on the PeMS08 dataset,DMST-GNODE achieved the best performance with an RMSE of 19.4863 and an accuracy of 0.9377 at 20 min,demonstrating its effectiveness over longer *** Los_Loop dataset results further emphasise this model’s advantage,with an RMSE of 3.3422 and an accuracy of 0.7643 at 20 min,consistently maintaining superiority across all time *** numerical highlights indicate that DMST-GNODE not only outperforms baseline models but also achieves higher accuracy and lower errors across different time intervals and datasets.

关键词： Graph neural networks convolutional neural network deep learning dynamic multi-graph spatio-temporal

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Tracking Interval to Select an Optimal Model Among Non-nested Copula Functions

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Communications in Mathematics and statistics 2022年第1期10卷 85-99页

作者： Parisa Torkaman Department of statistics Faculty of Mathematical Sciences and StatisticsMalayer UniversityMalayerIran

One of the important issues in order to survey multivariate distribution or model dependency structure between interested variables is finding the proper copula *** studies have been done based on Akaike information criterion(AIC),copula information criterion(CIC),and pseudo-likelihood ratio and fitness test of the copula *** previous methods of selecting copula functions when the sample size is too small are not ***,our method in this paper is based on tracking interval for the parametric copula function which is obtained using expected Kullback–Leibler risk between the two proposed non-nested parametric *** can be find that optimal parametric copula between proposed copula functions in a good level of ***,efficiency and capability of our method using simulation and applied example have been shown.

关键词： Copula Tracking interval Expected Kullback-Leibler risk

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Parameters estimation of HIV infection model of CD4＋ T-cells by applying orthonormal Bernstein collocation method

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International Journal of Biomathematics 2018年第2期11卷 115-133页

作者： Farshid Mirzaee Nasrin Samadyar faculty of mathematical sciences and statistics malayer university Malayer 65719-95863 Iran

The HIV infection model of CD4＋ T-cells corresponds to a class of nonlinear ordinary differential equation systems. In this study, we provide the approximate solution of this model by using orthonormal Bernstein polynomials （OBPs）. By applying the proposed method, the nonlinear system of ordinary differential equations reduces to a nonlinear system of algebraic equations which can be solved by using a suitable numerical method such as Newton＇s method. We prove some useful theorems concerning the convergence and error estimate associated to the present method. Finally, we apply the proposed method to get the numerical solution of this model with the arbitrary initial conditions and values. Furthermore, the numerical results obtained by the suggested method are compared with the results achieved by other previous methods. These results indicate that this method agrees with other previous methods.

关键词： HIV infection of CD4+ T-cells nonlinear system of differential equations Bernstein polynomials convergence analysis.

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Exit options sustain altruistic punishment and decrease the second-order free-riders, but it is not a panacea

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Science China(Information sciences) 2025年第1期68卷 278-291页

作者： Chen SHEN Zhao SONG Lei SHI Jun TANIMOTO Zhen WANG faculty of Engineering sciences Kyushu University School of statistics and Mathematics Yunnan University of Finance and Economics School of Computing Engineering and Digital Technologies Teesside University School of Artificial Intelligence OPtics and Electro Nics (iOPEN) Northwestern Polytechnical University

Why do humans punish free riders at their own expense? This behavior represents an evolutionary puzzle in human societies. This study explores the role of exit strategies in fostering altruistic punishment within evolutionary game theory. We extend the traditional prisoner's dilemma model by incorporating exiters, players who opt out for a small payoff while nullifying their opponent's payoff, and altruistic punishers who cooperate and punish non-cooperators. Our findings indicate that in well-mixed populations, exiters destabilize defection but do not promote altruistic punishment. In social networks, however,exiters enable altruistic punishment via cyclic dominance among altruistic punishers, defectors, and exiters. Notably, this cyclic dominance is sensitive to exit payoffs; adjustments can lead to cyclic dominance of non-punishing cooperators, defectors, and exiters, or to a bi-stable state between these two types of cyclic dominance. These results highlight the nuanced impact of exiters on altruistic punishment, emphasizing the need for careful incentivization of exit behavior. While exiters can support altruistic punishment in networked populations, their effectiveness is not a panacea and is highly sensitive to exit payoffs, indicating limits to the voluntary participation mechanism.

关键词： evolutionary game theory altruistic punishment coexistence cyclic dominance bi-stable

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A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

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Numerical Mathematics(Theory,Methods and Applications) 2024年第1期17卷 37-68页

作者： Raziyeh Erfanifar Masoud Hajarian Khosro Sayevand Department of Applied Mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityTehranIran faculty of Mathematics and statistics Malayer UniversityMalayerIran

In this study,based on an iterative method to solve nonlinear equations,a third-order convergent iterative method to compute the Moore-Penrose inverse of a tensor with the Einstein product is presented and *** compar-isons of the proposed method with other methods show that the average number of iterations,number of the Einstein products,and CPU time of our method are considerably less than other *** some applications,partial and fractional differential equations that lead to sparse matrices are considered as *** use the iterates obtained by the method as a preconditioner,based on tensor form to solve the multilinear system A∗N X=***,several practical numerical examples are also given to display the accuracy and efﬁciency of the new *** presented results show that the proposed method is very robust for obtaining the Moore-Penrose inverse of tensors.

关键词： Tensor iterative methods Moore-Penrose inverse Einstein product

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On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

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Numerical Mathematics(Theory,Methods and Applications) 2024年第1期17卷 69-92页

This study aims to investigate the polar decomposition of tensors with the Einstein product for theﬁrst *** polar decomposition of tensors can be computed using the singular value decomposition of the tensors with the Einstein *** the following,some iterative methods forﬁnding the polar decomposi-tion of matrices have been developed into iterative methods to compute the polar decomposition of ***,we propose a novel parametric iterative method toﬁnd the polar decomposition of *** the obtained conditions,we prove that the proposed parametric method has the order of convergence *** every iteration of the proposed method,only four Einstein products are required,while other iterative methods need to calculate multiple Einstein products and one tensor inversion in each ***,the new method is superior in terms of efﬁciency ***,the numerical comparisons performed among several well-known methods,show that the proposed method is remarkably efﬁcient and accurate.

关键词： Iterative methods Einstein product polar decomposition of a tensor polar factor order of convergence

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ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

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Acta Mathematica Scientia 2020年第4期40卷 1105-1115页

作者： Hamid KHODAEI Iz-iddine EL-FASSI Bahman HAYAT faculty of mathematical sciences and statistics Malayer UniversityP.O.Bor 65719-95863MalayerIran Department of Mathematics Faculty of Sciences and TechniquesSidi Mohamed ben Abdellah UniversityB.P.2202FezMoroccc.

We discuss the set-valued dynamics related to the theory of functional *** look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange *** improve and extend upon some of the results in[13,... 详细信息

关键词： set-valued dynamics Euler-Lagrange inclusion composite operator selection

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Flexible Factor Model for Handling Missing Data in Supervised Learning

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Communications in Mathematics and statistics 2023年第2期11卷 477-501页

作者： Andriette Bekker Farzane Hashemi Mohammad Arashi Department of statistics Faculty of Natural and Agricultural SciencesUniversity of PretoriaPretoriaSouth Africa Department of statistics Faculty of Mathematical SciencesUniversity of KashanKashanIran Department of statistics Faculty of Mathematical SciencesFerdowsi University of MashhadMashhadIran

This paper presents an extension of the factor analysis model based on the normal mean-variance mixture of the Birnbaum-Saunders in the presence of nonresponses and missing *** model can be used as a powerful tool to model non-normal features observed from data such as strongly skewed and heavy-tailed *** data may occur due to operator error or incomplete data capturing therefore cannot be ignored in factor analysis *** implement an EM-type algorithm for maximum likelihood estimation and propose single imputation of possible missing values under a missing at random *** potential and applicability of our proposed method are illustrated through analyzing both simulated and real datasets.

关键词： Automobile dataset Asymmetry ECME algorithm Factor analysis model Heavy tails Incomplete data Liver disorders dataset

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On the rate of complete convergence for weighted sums of NSD random variables and an application

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Applied Mathematics(A Journal of Chinese Universities) 2017年第3期32卷 270-280页

作者： NADERI Habib AMINI Mohammad BOZORGNIA Abolghasem Department of statistics Faculty of Mathematical Sciences Ferdowsi University of Mashhad MashhadIran Department of statistics Faculty of Mathematical Sciences University of Sistan and BaluchestanZahedan Iran Department of statistics Khayyam University Mashhad Iran

In this paper, the complete convergence is established for the weighted sums of negatively superadditive-dependent random variables. As an application, the Marcinkiewicz-Zygmund strong law of large numbers for the random weighted average is also achieved, and a simulation study is done for the asymptotic behaviour of random weighting estimator.

关键词： complete convergence negatively superadditive-dependent random weighted estimate

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The Odd Log-Logistic Generalized Gompertz Distribution:Properties,Applications and Different Methods of Estimation

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Communications in Mathematics and statistics 2020年第3期8卷 295-317页

作者： Morad Alizadeh Lazhar Benkhelifa Mahdi Rasekhi Bistoon Hosseini Department of statistics Persian Gulf UniversityBushehrIran Department of Mathematics and Informatics Larbi Ben M’Hidi UniversityOum El BouaghiAlgeria Department of statistics Faculty of Mathematical Sciences and StatisticsMalayer UniversityMalayerIran Kermanshah Province Electricity Distribution Company KermanshahIran

We introduce a four-parameter lifetime distribution called the odd log-logistic generalized Gompertz model to generalize the exponential,generalized exponential and generalized Gompertz distributions,among *** obtain explicit expressions for themoments,moment-generating function,asymptotic distribution,quantile function,mean deviations and distribution of order *** method of maximum likelihood estimation of parameters is compared by six different methods of estimations with simulation *** applicability of the new model is illustrated by means of a real data set.

关键词： Odd log-logistic family of distribution Maximum likelihood estimators Least squares estimators Weighted least squares estimators Method of maximum product spacing Percentile estimators

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