摘要：
This paper studies an inverse coefficient problem of a parabolic equation where the final observation is given, the unknown coefficient depends on both the space variable x and the time variable t. Based on the optimal control framework, the inverse problem is transformed into an optimization problem and a new cost functional is constructed in the paper. The existence of the minimizer of the cost functional is proved, and the necessary conditions which must be satisfied by the minimizer are also given.
摘要：
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
期刊：
Journal of Convergence Information Technology,2011年6(5):339-346 ISSN：1975-9320
通讯作者：
Qin, J.(qinjiaohua@163.com)
作者机构：
[Qin, Jiaohua] College of Computer Science and Information Technology, Central South University of Forestry and Technology, Changsha, China;[Qin, Jiaohua] Department of Mathematics and computer, Hunan City University, Yiyang, 413000, China
摘要：
This paper revisits the steganalysis method involving a stochastic approach estimator (SAE) for estimating the number of embedding changes for non-adaptive ±k embedding in digital images. It suggests new estimators, upgrading the method's three components: cover image estimation, stego message estimation, and stego message length estimation. Wide-ranging experimental results show that the new method is efficient to detect and estimate the embedding changes for non-adaptive ±k steganography, and produces greatly improved accuracy. Furthermore, it is shown that for images with a low level noise this approach can detect and estimate the number of embedding changes even for small values of k.
期刊：
World Academy of Science, Engineering and Technology,2011年51:1025-1030 ISSN：2010-376X
通讯作者：
Zhang, Q.(zqianhong68@163.com)
作者机构：
[Zhang, Qianhong] Guizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, China;[Liao, Daixi] Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, China;[Yang, Lihui] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
摘要：
In this paper, by employing a new Lyapunov functional and an elementary inequality analysis technique, some sufficient conditions are derived to ensure the existence and uniqueness of periodic oscillatory solution for fuzzy bi-directional memory (BAM) neural networks with time-varying delays, and all other solutions of the fuzzy BAM neural networks converge the uniqueness periodic solution. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of neural networks. Moreover an example is given to illustrate the effectiveness and feasible of results obtained.
期刊：
Journal of Computational and Theoretical Nanoscience,2011年8(4):656-658 ISSN：1546-1955
通讯作者：
Chen, Shubo
作者机构：
[Chen, Shubo] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构：
[Chen, Shubo] H;Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
关键词：
DENDRIMER;HOSOYA INDEX;MATCHING;NANOSTARS
摘要：
A dendrimer nanostar is a tree-like highly branched polymer molecule. Dendrimer nanostars are synthesized from monomers with new branches added in discrete steps to form a tree-like architecture. They have some proven applications, and numerous potential applications. Let G is a connected graph with vertex set V and edge set E, the Hosoya index of a graph is defined as the total number of its matchings. We obtain exact formulas for calculating the Hosoya index of dendrimer nanostars.
期刊：
Journal of Applied Mathematics and Computing,2011年37(1-2):459-471 ISSN：1598-5865
通讯作者：
Zhang, Q.(zqianhong68@163.com.cn)
作者机构：
[Zhang, Qianhong] Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, China;[Zhang, Qianhong; Luo, Wei] Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, China;[Yang, Lihui] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Qianhong Zhang] G;Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, P.R. China<&wdkj&>Basic Science Department, Hunan Institute of Technology, Hengyang, P.R. China
期刊：
WSEAS Transactions on Mathematics,2011年10(12):490-499 ISSN：1109-2769
通讯作者：
Zhang, Q.(zqianhong68@163.com)
作者机构：
[Zhang, Qianhong] Guizhou College of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guiyang, Guizhou 550004, China;[Yang, Lihui] Hunan City University, Department of Mathematics, Yiyang, Hunan 413000, China
通讯机构：
Guizhou College of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, China
摘要：
This paper deals with an impulsive stochastic fuzzy cellular neural networks with both time-varying and infinite distributed delays. Based on M-matrix theory and stochastic analysis technique, a sufficient condition is obtained to ensure the existence, uniqueness, and global exponential p-stability of the equilibrium point for the addressed impulsive stochastic fuzzy cellular neural network with mixed delays. Moreover a numerical example is given to illustrate the effectiveness of stability results.
期刊：
World Academy of Science, Engineering and Technology,2011年51:1031-1036 ISSN：2010-376X
通讯作者：
Zhang, Q.(zqianhong68@163.com)
作者机构：
[Zhang, Qianhong] Guizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, China;[Liao, Daixi] Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, China;[Yang, Lihui] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
摘要：
In this paper, we study the existence, the boundedness and the asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equations where (xn) is a sequence of positive fuzzy numbers, A,Bi and the initial values x-k, x-k+1, · · ·, x0 are positive fuzzy numbers. k ∈{0, 1, 2, · · ·}.
期刊：
Journal of Applied Mathematics and Computing,2011年36(1-2):489-505 ISSN：1598-5865
通讯作者：
Deng, Y.(dengyijun_001@163.com)
作者机构：
[Xiao, Cuie] Department of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China;[Deng, Youjun; Xiao, Cuie] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China
通讯机构：
[Youjun Deng] S;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, P.R. China
摘要：
In this paper, we propose a new Newton-Landweber iteration for nonlinear inverse problems. We show the convergence of this method without any convergence rate under a weak nonlinearity condition. Also, this iteration will converge and inherit a certain monotonicity of the iteration error like Landweber iteration, if we restrict our inner iteration steps. Furthermore, we obtain optimal convergence rate of the new Newton-Landweber iteration under stronger nonlinearity conditions and parameter choice rules. Numerical experiments have shown some attractive results.
摘要：
We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is quasistatic, the material is assumed to be viscoelastic with long memory and the frictional contact is modelled with subdifferential boundary conditions. The mechanical damage of the material is described by the damage function, which is modelled by a nonlinear partial differential equation. We derive the variational formulation of the problem, which is a coupled system of a hemivariational inequality and a parabolic equation. Then we prove the existence of a unique weak solution to the model. The proof is based on arguments of abstract stationary inclusion and a fixed point theorem.
期刊：
Information Technology Journal,2010年9(2):274-281 ISSN：1812-5638
通讯作者：
Xiang, X.
作者机构：
[Zhang, Dafan] School of Computer and Communication, Hunan University, No. 252, Lushan South Road, Yuelu District, Changsha, 410082, China;Department of Mathematics and Computer, Hunan City University, Yiyang, 413000, China;[Qin, Jiaohua; Fu, Yuanyuan; Xiang, Xuyu] School of Computer and Communication, Hunan University, No. 252, Lushan South Road, Yuelu District, Changsha, 410082, China, Department of Mathematics and Computer, Hunan City University, Yiyang, 413000, China
通讯机构：
[Xiang, X.] S;School of Computer and Communication, No. 252, Lushan South Road, Yuelu District, Changsha, 410082, China
关键词：
Ant colony algorithm;Genetic algorithm;Local search;Multidimensional graph;Multiple Sequence Alignment;Planar graph
关键词：
data compression;discrete cosine transforms;image coding;steganography;support vector machines
摘要：
A JPEG image steganalysis scheme based on joint discrete cosine transform (DCT) domain features is proposed. Intrinsic characteristics of DCT coefficients, such as histogram, intrablock correlation, and interblock correlation, are exploited to construct three feature sets. Support vector machine is utilized to learn and discriminate the difference of features between cover and stego images. First, the three feature sets are investigated separately to reveal their individual capability of attacking steganographic methods. Second, the feature sets are combined to form a joint feature set with better performance. Experimental results demonstrate that all three feature sets individually succeed in attacking the four typical steganographic tools to some extent, with the intrablock feature set performing the best. Furthermore, the comparison experiments show that the jointed feature set not only outperforms the three individual feature sets but also proves to be better than a previous state-of-the-art steganalysis method.
期刊：
Information Technology Journal,2010年9(8):1725-1738 ISSN：1812-5638
通讯作者：
Qin, J.
作者机构：
[Qin, Jiaohua] School of Computer and Information Engineering, Central South University of Forestry and Technology, Changsha, 410004, China;[Xiang, Xuyu; Xian Wang, Meng] Department of Mathematics and Computer, Hunan City University, Yiyang, 413000, China
通讯机构：
[Qin, J.] S;School of Computer and Information Engineering, Central South University of Forestry and Technology, China
期刊：
Information Technology Journal,2009年8(8):1281-1286 ISSN：1812-5638
通讯作者：
Qin, J.
作者机构：
[Xia, Zhihua; Xiang, Xuyu; Sun, Xingming; Qin, Jiaohua] School of Computer and Communication, Hunan University, No. 252, Lushan South Road, Yuelu District, Changsha, 410082, China;[Xiang, Xuyu; Qin, Jiaohua] Department of Mathematics and Computer, Hunan City University, Yiyang, 413000, China
通讯机构：
[Qin, J.] S;School of Computer and Communication, No. 252, Lushan South Road, Yuelu District, Changsha, 410082, China
期刊：
Information Technology Journal,2009年8(6):811-820 ISSN：1812-5638
通讯作者：
Sun, X.
作者机构：
[Niu, Changming; Qin, Jiaohua; Sun, Xingming; Xia, Zhihua] School of Computer and Communication, Hunan University, Changsha, 410082, China;[Sun, Xingming] YueluMountain, Changsha, Hunan, 410082, China;[Qin, Jiaohua] Department of Mathematics and Computer, Hunan City University, Yiyang, 413000, China
通讯机构：
[Sun, X.] Y;YueluMountain, Changsha, Hunan, 410082, China
关键词：
Feature selection;Information security;Local convergence;Similarity among individuals;Transformation of generations
作者机构：
[Qi, Liqun] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China.;[Wang, Fei] Hunan City Univ, Dept Math, Yiyang, Hunan, Peoples R China.;[Wang, Yiju] Qufu Normal Univ, Sch Operat Res & Management Sci, Rizhao 276800, Shandong, Peoples R China.
通讯机构：
[Qi, Liqun] H;Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China.
摘要：
As a global polynomial optimization problem, the best rank-one approximation to higher order tensors has extensive engineering and statistical applications. Different from traditional optimization solution methods, in this paper, we propose some Z-eigenvalue methods for solving this problem. We first propose a direct Z-eigenvalue method for this problem when the dimension is two. In multidimensional case, by a conventional descent optimization method, we may find a local minimizer of this problem. Then, by using orthogonal transformations, we convert the underlying supersymmetric tensor to a pseudo-canonical form, which has the same E-eigenvalues and some zero entries. Based upon these, we propose a direct orthogonal transformation Z-eigenvalue method for this problem in the case of order three and dimension three. In the case of order three and higher dimension, we propose a heuristic orthogonal transformation Z-eigenvalue method by improving the local minimum with the lower-dimensional Z-eigenvalue methods, and a heuristic cross-hill Z-eigenvalue method by using the two-dimensional Z-eigenvalue method to find more local minimizers. Numerical experiments show that our methods are efficient and promising.
