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Asymptotic normality of error density estimator in stationary and explosive autoregressive models

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Applied Mathematics(A Journal of Chinese Universities) 2024年第1期39卷 140-158页

作者： WU Shi-peng YANG Wen-zhi GAO Min HU Shu-he school of Mathematical Sciences&school of big data and Statistics Anhui UniversityHefei 230601China school of Statistics Shanxi University of Finance and EconomicsTaiyuan030006China

In this paper,we consider the limit distribution of the error density function estima-tor in the rst-order autoregressive models with negatively associated and positively associated random *** mild regularity assumptions,some asymptotic normality results of the residual density estimator are obtained when the autoregressive models are stationary process and explosive *** order to illustrate these results,some simulations such as con dence intervals and mean integrated square errors are provided in this *** shows that the residual density estimator can replace the density\estimator"which contains errors.

关键词： explosive autoregressive models residual density estimator asymptotic distribution association sequence

Industrial Carbon Emission Distribution and Regional Joint Emission Reduction:A Case Study of Cities in the Pearl River Basin,China

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Chinese Geographical Science 2024年第2期34卷 210-229页

作者： JIANG Hongtao YIN Jian ZHANG Bin WEI Danqi LUO Xinyuan DING Yi XIA Ruici Center for Western China Modernization Guizhou University of Finance and EconomicsGuiyang 550025China College of big data application and Economic Guizhou University of Finance and EconomicsGuiyang 550025China Key Laboratory of Green Fintech Guizhou University of Finance and EconomicsGuiyang 550025China

China’s low-carbon development path will make significant contributions to achieving global sustainable development *** to the diverse natural and economic conditions across different regions in China,there exists an imbalance in the distribution of car-bon ***,regional cooperation serves as an effective means to attain low-carbon *** study examined the pattern of carbon emissions and proposed a potential joint emission reduction strategy by utilizing the industrial carbon emission intens-ity(ICEI)as a crucial *** utilized social network analysis and Local Indicators of Spatial Association(LISA)space-time trans-ition matrix to investigate the spatiotemporal connections and discrepancies of ICEI in the cities of the Pearl River Basin(PRB),China from 2010 to *** primary drivers of the ICEI were determined through geographical detectors and multi-scale geographically weighted *** results were as follows:1)the overall ICEI in the Pearl River Basin is showing a downward trend,and there is a significant spatial imbalance.2)There are numerous network connections between cities regarding the ICEI,but the network structure is relatively fragile and unstable.3)Economically developed cities such as Guangzhou,Foshan,and Dongguan are in the center of the network while playing an intermediary role.4)Energy consumption,industrialization,per capita GDP,urbanization,science and techno-logy,and productivity are found to be the most influential variables in the spatial differentiation of ICEI,and their combination in-creased the explanatory power of the geographic variation of ***,through the analysis of differences and connections in urban carbon emissions under different economic levels and ICEI,the study suggests joint carbon reduction strategies,which are centered on carbon transfer,financial support,and technological assistance among cities.

关键词： industrial carbon emission intensity carbon emission social network analysis Location Indicators of Spatial Association(LISA) geographical detector multi-scale geographically weighted regression Pearl River Basin(PRB),China

On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras

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Applied Mathematics(A Journal of Chinese Universities) 2023年第2期38卷 274-292页

作者： ZHU Hua ZHAO Jian-bin school of Mathematics and Statistics Zhengzhou UniversityZhengzhou 450001China Henan Academy of big data Zhengzhou UniversityZhengzhou 450001China Henan Key Laboratory of Financial Engineering Zhengzhou 450001China Key Laboratory of big data Analysis and application Zhengzhou 450001China

A 2-dimension linguistic lattice implication algebra(2DL-LIA)can build a bridge between logical algebra and 2-dimension fuzzy linguistic *** this paper,the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are *** derivations on 2DL-LIAs are introduced and the related properties of derivations are ***,it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements.

关键词： derivation Boolean element Lattice implication algebra(LIA) 2-dimension linguistic lattice implication algebra(2DL-LIA) 2-dimension fuzzy linguistic information

Order Timing for Manufacturers with Spot Purchasing Price Uncertainty and Demand Information Updating

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Journal of Systems Science and Systems Engineering 2020年第6期29卷 631-654页

作者： Mengchu Wu Lijun Ma Weili Xue school of economics and Management Southeast UniversityNanjing 211189China College of Management and Institute of big data Intelligent Management and DecisionShenzhen UniversityShenzhen 518060China

In this paper we study the competitive order timing decisions of two manufacturers with demand forecasting updating and uncertain raw material *** can order the raw materials early when the market is highly uncertain with a fixed wholesale price(Contract procurement)or late when the market is less uncertain with an uncertain raw material price(Spot trading).Different from most existing literature,we assume the spot price and the market demand is *** find that in the monopoly setting the manufacturer prefers the contract procurement to the spot trading when the unit wholesale price for the contract procurement is not greater than the expected unit spot price of the raw *** the duopoly setting,we characterize the equilibria of a strategic order timing game in which manufacturers choose when to buy the raw *** find that when the demand during the contract procurement stage and the spot price uncertainty is small both manufacturers prefer the contract procurement strategy and when the demand during the contract procurement stage and the spot price uncertainty is large both manufacturers prefer the spot *** the demand during the contract procurement stage and the spot price uncertainty is high and purchase costs do not decline too severely over time,the unique equilibrium of this game is that one manufacturer chooses contract procurement to order early and the other chooses spot trading to order ***,we find that the correlation of spot purchasing price and the market demand signal during the contract procurement stage will weaken the advantages of spot trading *** the spot purchasing price and the market demand signal during the contract procurement stage are not correlated,manufacturers prefer spot trading under the highly volatile spot trading price,fluctuating demand,and high information precision.

关键词： Procurement order timing competition uncertainty game theory

Multi-Attention Fusion Modeling for Sentiment Analysis of Educational big data

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big data Mining and Analytics 2020年第4期3卷 311-319页

作者： Guanlin Zhai Yan Yang Heng Wang Shengdong Du the school of Information Science and Technology National Engineering Laboratory of Integrated Transportation Big Data Application TechnologySouthwest Jiaotong UniversityChengdu 611756China

As an important branch of natural language processing,sentiment analysis has received increasing *** teaching evaluation,sentiment analysis can help educators discover the true feelings of students about the course in a timely manner and adjust the teaching plan accurately and timely to improve the quality of education and *** at the inefficiency and heavy workload of college curriculum evaluation methods,a Multi-Attention Fusion Modeling(Multi-AFM)is proposed,which integrates global attention and local attention through gating unit control to generate a reasonable contextual representation and achieve improved classification *** results show that the Multi-AFM model performs better than the existing methods in the application of education and other fields.

关键词： educational big data sentiment analysis aspect-level attention

A federated learning scheme meets dynamic differential privacy

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CAAI Transactions on Intelligence Technology 2023年第3期8卷 1087-1100页

作者： Shengnan Guo Xibin Wang Shigong Long Hai Liu Liu Hai Toong Hai Sam State Key Laboratory of Public big data College of Computer Science and TechnologyGuizhou UniversityGuiyangChina school of big data Key Laboratory of Electric Power Big Data of Guizhou ProvinceGuizhou Institute of TechnologyGuiyangChina school of Information Guizhou University of Finance and EconomicsGuiyangChina Faculty of Business and Communication INTI International UniversityNilaiMalaysia

Federated learning is a widely used distributed learning approach in recent years,however,despite model training from collecting data become to gathering parameters,privacy violations may occur when publishing and sharing models.A dynamic approach is pro-posed to add Gaussian noise more effectively and apply differential privacy to federal deep ***,it is abandoning the traditional way of equally distributing the privacy budget e and adjusting the privacy budget to accommodate gradient descent federation learning dynamically,where the parameters depend on computation derived to avoid the impact on the algorithm that hyperparameters are created *** also incorporates adaptive threshold cropping to control the sensitivity,and finally,moments accountant is used to counting the∈consumed on the privacy‐preserving,and learning is stopped only if the∈_(total)by clients setting is reached,this allows the privacy budget to be adequately explored for model *** experimental results on real datasets show that the method training has almost the same effect as the model learning of non‐privacy,which is significantly better than the differential privacy method used by TensorFlow.

关键词： data privacy machine learning security of data

Soliton molecules for combined mKdV-type bilinear equation

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Communications in Theoretical Physics 2023年第10期75卷 1-9页

作者： Zhang-Xuan Zhao Lu-Wei Zhang Wei Yang Xue-Ping Cheng school of Information Engineering Zhejiang Ocean UniversityZhoushan 316022China Key Laboratory of Oceanographic big data Mining&application of Zhejiang Province Zhoushan 316022China

Starting from the multi-soliton solutions obtained by the Hirota bilinear method,the soli ton molecule structures for the combined mKdV-type bilinear equation(Dt+∑n=1NαnDx2n+1)f*·f=0 are investigated using the velocity resonance *** two-soliton molecules of the mKdV-35 equation and the three-soliton molecules of the mKdV-357 equation are specifically demonstrated in this *** particular selections of the involved arbitrary parameters,especially the wave numbers,it is confirmed that,besides the usual multi-bright soliton molecules,the multi-dark soliton molecules and the mixed multibright-dark soliton molecules can also be *** addition,we discuss the existence of the multi-soliton molecules for the combined mKdV-type bilinear equation with more higher order nonlinear terms and *** results demonstrate that when N≥4,the combined mKdVtype bilinear equation no longer admits soliton molecules comprising more than four solitons.

关键词： soliton molecule combined mKdV-type bilinear equation Hirota bilinear method velocity resonance mechanism

The A Priori and A Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

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Communications in Computational Physics 2023年第7期34卷 503-529页

作者： Yanjun Li Yidu Yang Hai Bi school of Mathematical Sciences Guizhou Normal UniversityGuiyangGuizhou 550001China school of big data applications and economics Guizhou University of Finance and EconomicsGuiyangGuizhou 550025China

In this paper,we discuss the conforming finite element method for a modified interior transmission eigenvalues *** present a complete theoretical analysis for the method,including the a priori and a posteriori error *** theoretical analysis is conducted under the assumption of low regularity on the *** prove the reliability and efficiency of the a posteriori error estimators for eigenfunctions up to higher order terms,and we also analyze the reliability of estimators for ***,we report numerical experiments to show that our posteriori error estimator is effective and the approximations can reach the optimal convergence *** numerical results also indicate that the conforming finite element eigenvalues approximate the exact ones from below,and there exists a monotonic relationship between the conforming finite element eigenvalues and the refractive index through numerical experiments.

关键词： Modified interior transmission eigenvalues a priori error estimates a posteriori error estimates adaptive algorithm

Measuring Financial Systemic Risk:Net Liability Clearing Mechanism and Contagion Effect

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Journal of Systems Science & Complexity 2024年第3期37卷 1114-1146页

作者： MA Jiali ZHU Shushang LI Duan College of big data Statistics Guizhou University of Finance and EconomicsGuiyang 550025China school of Business Sun Yat-Sen UniversityGuangzhou 510275China school of data Science City University of Hong KongHong Kong 999077China

Following the framework of E-N model(Eisenberg and Noe,2001),the authors consider a new clearing mechanism based on net liabilities among financial institutions since the liabilities between the counterparties should be deducted accordingly when clearing in *** the basis for systemic risk measurement,similar to the original E-N model,the authors first establish some good properties for the clearing payment vector according to a more general ***,the authors investigate how risk spreads among institutions through the liability network forming the risk contagion ***,the authors illustrate with a specific example that the original E-N clearing mechanism may misidentify the systemic important institutions,and theoretically show that it may also overestimate the risk compared with the netting clearing mechanism.

关键词： Clearing mechanism contagion net liability network systemic risk