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Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

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Advances in Applied Mathematics and Mechanics 2018年第6期10卷 1440-1458页

作者： Xingfa Yang Yin Yang Yanping Chen Jie Liu State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan UniversityChangsha 410082HunanChina Hunan Key Laboratory for Computation and Simulation in Science and Engineering Key Laboratory of Intelligent Computing&Information Processing of Ministry of EducationSchool of Mathematics and Computational ScienceXiangtan UniversityXiangtan 411105HunanChina School of Mathematical Sciences South China Normal UniversityGuangzhou 510631GuangdongChina Center for Research on Leading Technology of Special Equipment School of Mechanical and Electric EngineeringGuangzhou UniversityGuangzhou 510006GuangdongChina

In this paper,we study a class of nonlinear fractional integro-differential equations,the fractional derivative is described in the Caputo *** the properties of the Caputo derivative,we convert the fractional integro-differential equations into equivalent integral-differential equations of Volterra type with singular kernel,then we propose and analyze a spectral Jacobi-collocation approximation for nonlinear integro-differential equations of Volterra *** provide a rigorous error analysis for the spectral methods,which shows that both the errors of approximate solutions and the errors of approximate fractional derivatives of the solutions decay exponentially in L^(∞)-norm and weighted L^(2)-norm.

关键词： Spectral method nonlinear fractional derivative Volterra integro-differential equations Caputo derivative

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A Pilot Allocation Scheme for TDD Massive MIMO System Enabled Het Net 9

A Pilot Allocation Scheme for TDD Massive MIMO System Enable...

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2017 9th IEEE International Conference on Communication Software and Networks (ICCSN 2017)

作者： Hui Zhi Quan Yuan Jun Zhu Yanjun Hu Key Lab of Intelligent Computing and Signal Processing (Anhui University) Ministry of Education School of Electronics and Information Engineering Anhui University

ISBN: (纸本)9781509038237;9781509038220

A pilot allocation(PA) scheme is propose to reduce pilot contamination for time division duplex(TDD) massive multiple-input multiple-output(MIMO) system enabled twotier heterogeneous cellular network(Het Net). In order to reduce inter-tier interference during channel estimation, proposed scheme assigns mutually orthogonal pilots between macro-cells and small-cells, and pilots are reused among macro-cells with different pilot reuse factors. Comprehensive analyses and simulations of uplink average signal to interference plus noise ratio(SINR) and average achievable ergodic rate for the proposed scheme are developed. Simulation results show that the proposed PA scheme can reduce pilot contamination and improve the SINR and ergodic rate at base stations(BSs). In addition, the average SINR increases when pilot reuse factor grows, which shows the benefit of the proposed scheme. The average ergodic rate first becomes larger and then becomes smaller when pilot reuse factor becomes larger, which means the large number of pilot symbols limits the increase of ergodic rate.

关键词： massive MIMO HetNet pilot allocation scheme SINR ergodic rate

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Towards Privacy-preserving Incentive for Mobile Crowdsensing Under An Untrusted Platform

Towards Privacy-preserving Incentive for Mobile Crowdsensing...

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IEEE Annual Joint Conference: INFOCOM, IEEE Computer and Communications Societies

作者： Zhibo Wang Jingxin Li Jiahui Hu Ju Ren Zhetao Li Yanjun Li State Key Laboratory for Novel Software Technology Nanjing University P. R. China Key Laboratory of Aerospace Information Security and Trusted Computing Ministry of Education School of Cyber Science and Engineering Wuhan University P. R. China School of Information Science and Engineering Central South University P. R. China Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education College of Information Engineering Xiangtan University P. R. China School of Computer Science and Technology Zhejiang University of Technology P. R. China

Reverse auction-based incentive mechanisms have been commonly proposed to stimulate mobile users to participate in crowdsensing, where users submit bids to the platform to compete for tasks. Recent works pointed out that bid is a private information which can reveal sensitive information of users (e.g., location privacy), and proposed bid-preserving mechanisms with differential privacy against inference attack. However, all these mechanisms rely on a trusted platform, and would fail in bid protection completely when the platform is untrusted (e.g., honest-but-curious). In this paper, we focus on the bid protection problem in mobile crowdsensing with an untrusted platform, and propose a novel privacy-preserving incentive mechanism to protect users' true bids against the honest-but-curious platform while minimizing the social cost of winner selection. To this end, instead of uploading the true bid to the platform, a differentially private bid obfuscation function is designed with the exponential mechanism, which helps each user to obfuscate bids locally and submit obfuscated task-bid pairs to the platform. The winner selection problem with the obfuscated task-bid pairs is formulated as an integer linear programming problem and proved to be NP-hard. We consider the optimization problem at two different scenarios, and propose a solution based on Hungarian method for single measurement and a greedy solution for multiple measurements, respectively. The proposed incentive mechanism is proved to satisfy ε-differential privacy, individual rationality and γ-truthfulness. The extensive experiments on a real-world data set demonstrate the effectiveness of the proposed mechanism against the untrusted platform.

关键词： Task analysis Privacy Differential privacy Sensors Mobile handsets Cryptography Integer linear programming

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Construction of One-Lee Weight and Two-Lee Weight Codes over IF_p+vIF_p

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Journal of Systems Science & Complexity 2017年第2期30卷 484-493页

作者： SHI Minjia LUO Yong SOLE Patrick Key Laboratory of Intelligent Computing&Signal Processing Ministry of EducationAnhui UniversityHefei 230039China School of Mathematical Sciences Anhui UniversityHefei 230601China National Mobile Communications Research Laboratory Southeast UniversityNanjing 210096China Telecom Paris Tech ParisFrance

This paper is devoted to the construction of one-Lee weight codes and two-Lee weight codes over IF_p+vIF_p(v^2=v) with type p^(2 k_1)p^(k2)p^(k3) based on two different distance-preserving Gray maps from((IF_p+vIF_p)~n, Lee weight) to(IF_p^(2 n), Hamming weight), where p is a prime. Moreover, the authors prove that the obtained two-Lee weight codes are projective only when p=2.

关键词： Generator matrix Gray map linear code one-Lee weight code two-Lee weight code

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Discovering Temporal User Interest on Twitter by Using Semantic Based Dynamic Interest Finding Model(TUT) 2nd

Discovering Temporal User Interest on Twitter by Using Seman...

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2017 IEEE 2nd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC 2017)

作者： Rashid Abbasi Gohar Rehman Jia lee Farhad Muhammad Riaz Bin Luo School of Computer Science and Technology Anhui University College of Computer Science Chongqing University Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University

ISBN: (纸本)9781509064151;9781509064144

Social media systems are very popular in today's dynamic web. One of the famous social media systems is Twitter, in which peoples used to share their personal ideas about current issues with their friends. This work focuses on the problem of discovering a user's interest over time on twitter. Previous approaches have used to model the user topic of interest on twitter by building the profile of the users, that contain the words which can be used the user in his or her conversions with other users, but on twitter users used the noisy words which does not represent the correct topics or topic related to interest. This model has extended by a novel framework by using twitter user model. This model uses the latent topic variable to indicate the relatedness of the topic with any user. In this work, we propose a Temporal User Topic(TUT) approach which can consider the text of tweet by any user and time of the tweet. The proposed approach is used to discover topically related Users for different time periods. We also show how the interests and relationships of these users are changeovers a time period.

关键词： Topic Model User Interest Twitter Twitter-User Model Social Network Time Topic Modeling

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Skew Cyclic Codes over a Non-chain Ring

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Chinese Journal of Electronics 2017年第3期26卷 544-547页

作者： SHI Minjia YAO Ting SOL Patrick Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education Anhui University National Mobile Communications Research Laboratory Southeast University School of Mathematical Sciences of Anhui University CNRS/LAGA University of Paris 82 rue de la Libert93 526 Saint-Denis France

We study skew cyclic codes over a nonchain ring,which generalizes our previous results in IEICE *** Fundamentals of Electronic Communications and Computer Sciences,*** describe generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over the ring by a decomposition *** generator polynomial of the dual code of a skew cyclic code are ***,the idempotent generators of skew cyclic codes are *** examples are also presented to illustrate the discussed results.

关键词： Linear codes Gray map Dual codes Skew cyclic codes Generator polynomial

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The number of the non-full-rank Steiner triple systems

arXiv

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arXiv 2018年

作者： Shi, Minjia Xu, Li Krotov, Denis S. Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education School of Mathematics Anhui Universit Hefei Anhui230601 China Sobolev Institute of Mathematics pr. Akademika Koptyuga 4 Novosibirsk630090 Russia

The p-rank of a Steiner triple system B is the dimension of the linear span of the set of characteristic vectors of blocks of B, over GF(p). We derive a formula for the number of different Steiner triple systems of order u and given 2-rank r2, r2 3, r3 MSC Codes 51E10 Copyright © 2018, The Authors. All rights reserved.

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Anti-rotation Binary Descriptor for Circular Image Recognition

Anti-rotation Binary Descriptor for Circular Image Recogniti...

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Chinese Automation Congress

作者： Honglei Chen Dongbo Zhang Liangling Yi Hongzhong Tang Haixia Xu The College of Information Engineering Xiangtan University Xiangtan China The College of Information Engineering Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education Xiangtan China

Based on pairs of spatial symmetric patches, a novel efficient and distinctive binary descriptor was proposed in this paper. To achieve rotation invariance during feature computation, a local coordinate system was found with radial transform technology. On the basis of that, local binary patterns against rotation could be extracted. Meanwhile, the circular image was divided into a set of overlapped annular regions, and pairs of patch description were constructed with histogram within the ring. Finally the rotation invariant image description could be obtained by concatenating the ring features from inner to outer. The performance of proposed method was tested with 3 data sets. The test results showed that its recognition accuracy reached 100%, 100% and 97.07% respectively, which were superior to the results of traditional methods based on LBP feature. Moreover, the algorithm was efficient, as single point feature computation needed only 0.045ms.

关键词： Linage descriptor Local binary patterns Image recognition Rotation invariance

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TransmiΒion characteristics of optical pulse in the one-dimensional photonic crystals 2

TransmiΒion characteristics of optical pulse in the one-dim...

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2nd International Conference on Communication and Information Systems, ICCIS 2017

作者： Yan, Ao-Lin Wang, Li-Hua Wu, Bo Key Laboratory of Intelligent Computing and Signal ProceΒing Ministry of Education Anhui University Anhui Hefei230601 China

ISBN: (纸本)9781450353489

Considering the photonic crystal structure is critical to the future development of communication, the enthusiasm for the research of photonic crystal is always high. In this paper, the nonlinear finite-difference time-domain method is used to analyze the transmiΒion characteristics of one-dimensional photonic crystal structure. As the center frequency of the optical pulse approaches is closed to the photonic band gap, the group velocity dispersion of the light pulse increases. In addition, soliton waves can be generated in the structure with the introduction of Kerr nonlinear. And soliton waves can make outstanding contributions to the accurate transmiΒion of information. © 2017 AΒociation for computing Machinery.

关键词： Energy gap

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Bernstein Bezout matrix with applications to polynomial stability 32

Bernstein Bezout matrix with applications to polynomial stab...

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32nd Youth Academic Annual Conference of Chinese Association of Automation, YAC 2017

作者： Huazhang, Wu Jiajia, Ding Tingting, Zheng Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University Hefei230039 China School of Mathematical Sciences Anhui University Hefei230601 China

ISBN: (纸本)9781538629017

The Bernstein Bezoutian with respect to the Bernstein polynomials basis is investigated. A general linear control system under the Bernstein polynomials basis is established from the classical one, and a kind of generalized controllability/observability matrices are constructed. Connections between Bernstein Bezoutian and generalized controllability/observability matrices are discussed. Some results for polynomial stability in terms of the Bernstein Bezoutian are obtained, which generalize the corresponding classical Fujiwara-Hermite and Routh-Hurwitz criteria. © 2017 IEEE.

关键词： Linear control systems

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