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SSRN 2024年

作者： Shen, Ruigang Yang, Ying Wang, Qin Lu, Benzhuo Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Guilin University of Electronic Technology Guangxi Guilin541004 China LSEC Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing100190 China School of Mathematical Sciences University of Chinese Academy of Sciences Beijing100049 China

In this work, a new mixed finite element method with exponential coefficients is produced for solving the Poisson-Nernst-Planck (PNP) equations. Based on the exponential properties of the PNP equation, the current (flux) density function is directly introduced through the Slotboom transformation to transform the original PNP equation into a new PNP system with exponential coefficients. The BDM mixed finite element method is used to discretize the Nernst-Planck (NP) equation based on the new variables. The electrostatic potential Poisson equation is still discretized using the standard finite element method. The well-posedness and error estimates of the new mixed finite element solutions are derived. Numerical experiments are presented to verify the optimal order estimation, fluxes conservation, and the effectiveness and reliability of the algorithm for hybrid discrete systems. © 2024, The Authors. All rights reserved.

关键词： Poisson equation

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SERDA: Secure Enhanced and Robust data Aggregation Scheme for Smart Grid

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Journal of Computers (Taiwan) 2024年第5期35卷 73-90页

作者： Chen, Yiming Duan, Hongjun Wang, Dong Liu, Yining Chang, Chin-Chen School of Computer Science and Information Security Guilin University of Electronic Technology Guilin541004 China Zhengzhou Art Infant Normal School Zhengzhou450000 China School of Mathematics and Computational Science Guilin University of Electronic Technology Guilin541004 China School of Data Science and Artificial Intelligence Wenzhou University of Technology Wenzhou325027 China Department of Information Engineering and Computer Science Feng Chia University Taichung40724 Taiwan Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Guilin541004 China

data aggregation is considered a viable security and privacy solution for smart grid as it allows to obtain the total electricity consumption within a region without disclosing individual data. However, existing data aggregation schemes give little consideration in their threat models to use cases where devices operate in untrustworthy environments and adversaries have physical system access, which is common in the smart grid. They cannot support authentication and resist physical attacks while maintaining data privacy and supporting fault tolerance for smart meter (SM) failures. Motivated by this, a secure enhanced and robust data aggregation (SERDA) scheme for smart grid is introduced in this article. The SERDA scheme provides enhanced security for key storage and updates based on physically unclonable function (PUF), while supporting data privacy protection and fault tolerance for SM failures without reliance on a trusted third party (TTP). Security analysis and performance evaluation demonstrate that SERDA meets the excepted goals and is efficient compared with related work. © 2024 Codon Publications. All rights reserved.

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Precompactness in bivariate metric semigroup-valued bounded variation spaces

arXiv

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arXiv 2025年

作者： Niu, Yinglian Xu, Jingshi School of Mathematics and Computing Science Guilin University of Electronic Technology 1 Jinjilu Guangxi Guilin541004 China Center for Applied Mathematics of Guangxi Guilin University of Electronic Technology 1 Jinjilu Guangxi Guilin541004 China Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Guilin University of Electronic Technology 1 Jinjilu Guangxi Guilin541004 China

In this paper, we show that if a set in bivariate metric semigroups-valued bounded variation spaces is pointwise totally bounded and joint equivariated then it is precompact. These spaces include bounded Jordan variation spaces, bounded Wiener variation spaces, bounded Waterman variation spaces, bounded Riesz variation spaces and bounded Korenblum variation spaces. To do so, we introduce the concept of equimetric *** Codes 26A45, 54E50 Copyright © 2025, The Authors. All rights reserved.

关键词： Vector spaces

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Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

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Advances in Applied Mathematics and Mechanics 2020年第6期12卷 1353-1383页

作者： Ruigang Shen Shi Shu Ying Yang Mingjuan Fang School of Mathematics and Computational Science Hunan Key Laboratory for Computation and Simulation in Science and EngineeringXiangtan UniversityXiangtanHunan 411105China School of Mathematics and Computational Science Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic TechnologyGuilinGuangxi 541004China School of Mathematics and Computational Science Guilin University of Electronic TechnologyGuilinGuangxi 541004China

In this article,we derive the a posteriori error estimators for a class of steadystate Poisson-Nernst-Planck *** the gradient recovery operator,the upper and lower bounds of the a posteriori error estimators are established both for the electrostatic potential and *** is shown by theory and numerical experiments that the error estimators are reliable and the associated adaptive computation is efficient for the steady-state PNP systems.

关键词： Poisson-Nernst-Planck equations gradient recovery a posteriori error estimate

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Passenger Volume Interval Prediction based on MTIGM(1,1) and BP Neural Network

Passenger Volume Interval Prediction based on MTIGM(1,1) and...

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第33届中国控制与决策会议

作者： Lv Shaomei Zeng Xiangyan Huang Long Wu Lan Jiang Wei School of Mathematics and Computing Science Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuangxi Key Laboratory of Cryptography and Information SecurityGuilin University of Electronic Technology

The ternary interval number contains more comprehensive information than the exact number,and the prediction of the ternary interval number is more conducive to intelligent *** order to reduce the overfitting problem of the neural network model,a combination prediction method of the BP neural network and the matrix GM(1,1) model for the ternary interval number sequence is proposed in the paper,and based on the proposed method to predict the passenger *** matrix grey model for the ternary interval number sequence(MTIGM(1,1)) can stably predict the overall development trend of a time *** the integrity of interval numbers,the BP neural network model is established by combining the lower,middle and upper boundary points of the ternary interval *** combined weights of MTIGM(1,1) and the BP neural network are determined based on the grey relational *** combined method is used to predict the total passenger volume and railway passenger volume of China,and the prediction effect is better than MTIGM(1,1) and BP neural network.

关键词： Ternary interval number MTIGM(1,1) BP neural network Grey relational degree Passenger volume

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Prediction Regions for Multivariate Response Pls Models with Applications to Nir datasets

SSRN

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SSRN 2023年

作者： Lin, Youwu Xu, Congcong Ma, Shengqing Wang, Zhen Wang, Pei School of Mathematics and Computing Science Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Guilin University of Electronic Technology Guilin541002 China Guilin541002 China School of Economics and Management Qinghai Normal University Qinghai Xining810000 China School of Business Guangdong University of Foreign Studies Guangzhou510006 China

Multi-response partial least squares regression (PLS2) is commonly used in analyzing high-dimensional multi-response data, particularly in estimating prediction regions. Calculating the prediction region using local linearization methods under the assumption of normality will obtain a high coverage level. It has been shown that methods without distribution assumption outperform local linearization methods for constructing prediction intervals. Hence, several new methods are proposed in this work to build distribution-free prediction regions of PLS2 models. The resulting prediction regions do not rely on trivial assumptions and have relatively lower computational cost. Analyses of simulation and real NIR datasets show that the proposed methods have higher predictive coverage guarantees and shorter running times than the local linearization method. © 2023, The Authors. All rights reserved.

关键词： Forecasting

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A Class of Smoothing-regularization Methods to Mathematical Programs with Vanishing Constraints

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数学进展 2024年第5期53卷 953-973页

作者： HU Qingjie MA Lili CHEN Yu School of Mathematics and Computing Science Guangci Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic TechnologyGuilinGuangci541002P.R.China Center for Applied Mathematics of Guangri(GUET) GuilinGuangri541002P.R.China College of General Education Guangdong University of Science and TechnologyDongguanGuangdong523668P.R.China School of Mathematics and Statistics Guangri Normal UniversityGuilinGuangci541004P.R.China

this paper,we propose a class of smoothing-regularization methods for solving the mathematical programming with vanishing *** methods include the smoothing-regularization method proposed by Kanzow et ***[***.,2013,55(3):733-767]as a special *** the weaker conditions than the ones that have been used by Kanzow et *** 2013,we prove that the Mangasarian-Fromovitz constraint qualification holds at the feasible points of smoothing-regularization *** also analyze that the convergence behavior of the proposed smoothing-regularization method under mild conditions,i.e.,any accumulation point of the stationary point sequence for the smoothing-regularization problem is a strong stationary ***,numerical experiments are given to show the efficiency of the proposed methods.

关键词： mathematical programs with vanishing constraints smoothing-regularization method VC-MFCQ strong stationary point

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Error analysis of Virtual Element Methods for the Time-dependent Poisson-Nernst-Planck Equations

arXiv

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arXiv 2022年

作者： Yang, Ying Liu, Ya Shu, Shi School of Mathematics and Computational Science Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education Guilin University of Electronic Technology Guangxi Guilin541004 China School of Mathematics and Computational Science Guilin University of Electronic Technology Guangxi Guilin541004 China School of Mathematics and Computational Science Xiangtan University Xiangtan411105 China

We discuss and analyze the virtual element method on general polygonal meshes for the time-dependent Poisson-Nernst-Planck equations, which are a nonlinear coupled system widely used in semiconductors and ion channels. The spatial discretization is based on the elliptic projection and the L2 projection operator, and for the temporal discretization, the backward Euler scheme is employed. After presenting the semi and fully discrete schemes, we derive the a priori error estimates in the L2 and H1 norms. Finally, a numerical experiment verifies the theoretical convergence results. Copyright © 2022, The Authors. All rights reserved.

关键词： Nonlinear equations

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A Generic Voltage-Controlled Discrete Memristor Model and its Application in Chaotic Map

SSRN

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SSRN 2022年

作者： Zhong, Huiyan Li, Guodong Xu, Xiangliang School of Mathematics and Computational Science Guilin University of Electronic Technology Guangxi Guilin541004 China School of Information and Software Engineering University of Electronic Science and Technology of China Chengdu610054 China Guangxi Colleges Universities Key Laboratory of Data Analysis and Computation Guilin University of Electronic Technology Guilin541004 China

The discrete memristor has aroused increasing interest due to its application prospects. The theory of discrete memory resistors is gradually being refined. In this paper, through theoretical derivation, the new generic voltage-controlled discrete memristor model is proposed based on the definition and characteristics of the generalized memristor and the sampling memristor-capacitor circuit. And the Simulink model of the discrete memristor model was constructed to implement the simulation. The model allows the creation of new types of discrete memristors by defining the constitutive relation according to different requirements, which has wider applications in digital circuits and discrete systems. Nine discrete memristors are proposed and shown to meet the definition of the memristor. As an application, this paper proposes three discrete memristor-based maps, builds their Simulink model and analyzes their dynamic behavior relying on the parameters and initials of the system and memristor through the bifurcation diagram, Lyapunov exponent and spectral entropy complexity. The numerical simulation results show that the three discrete memristor-based maps are better than that of the original ones in chaotic properties, such as sequence complexity, the chaos range and LE. © 2022, The Authors. All rights reserved.

关键词： Lyapunov methods

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Low-overhead pieceable fault-tolerant construction of logical controlled-phase circuit for degenerate quantum code*

Low-overhead pieceable fault-tolerant construction of logica...

引用

2020 IEEE International Conference on Artificial Intelligence and Computer Applications, ICAICA 2020

作者： Lin, Chen Yang, Guowu Wu, Jinzhao Big Data Research Center School of Computer Science and Engineering University of Electronic Science and Technology of China Chengdu611731 China Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis Guangxi University for Nationalities Nanning530006 China

ISBN: (纸本)9781728170046

We propose a non-transversal but pieceable fault-tolerant conversion circuit that is used to convert encoded information between five-qubit code and seven-qubit CSS code. Since a syndrome extraction circuit requiring fewer ancillary qubit resources would facilitate the realization of large-scale quantum computations, we further adapt a flag-assisted fault-tolerant syndrome measurement scheme to reduce the cost of ancillary preparation. Numerical simulations are also performed to further analyze the performance of our conversion method. © 2020 IEEE.

关键词： Timing circuits

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