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The improved Hagedorn wavepacket method for semiclassical Schrödinger equation

International Journal of Modeling, Simulation, and Scientific computing 2014年第4期5卷

作者： Xueyang Li Aiguo Xiao Hunan Key Laboratory for Computation and Simulation in Science and Engineering Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education Xiangtan University Xiangtan Hunan P. R. China

The Hagedorn wavepacket method is an important numerical method for solving the semiclassical time-dependent Schrödinger equation. In this paper, a new semi-discretization in space is obtained by wavepacket operator. In a sense, such semi-discretization is equivalent to the Hagedorn wavepacket method, but this discretization is more intuitive to show the advantages of wavepacket methods. Moreover, we apply the multi-time-step method and the Magnus-expansion to obtain the improved algorithms in time-stepping computation. The improved algorithms are of the Gauss–Hermite spectral accuracy to approximate the analytical solution of the semiclassical Schrödinger equation. And for the given accuracy, the larger time stepsize can be used for the higher oscillation in the semiclassical Schrödinger equation. The superiority is shown by the error estimation and numerical experiments.

关键词： High oscillation semiclassical Schrödinger equation Hagedorn wavepacket multi-time-step method Magnus-expansion

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Video summarization by robust low-rank subspace segmentation

Video summarization by robust low-rank subspace segmentation

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8th International Conference on Bio-Inspired computing: Theories and Applications, BIC-TA 2013

作者： Tu, Zhengzheng Sun, Dengdi Luo, Bin Key Lab of Intelligent Computing and Signal Processing of Ministry of Education Anhui University Hefei230039 China School of Computer Science and Technology Anhui University Hefei230601 China Key Lab of Industrial Image Processing and Analysis of Anhui Province Hefei230039 China

ISBN: (纸本)9783642375019

Video summarization provides condensed and succinct representations of the content of a video stream. A static storyboard summarization approach based on robust low-rank subspace segmentation is proposed in this paper. Firstly, video frames are represented as multi-dimensional vectors, and then embedded into a group of affine subspaces using low-rank representation according to the content similarity of the frames in the same subspace. Secondly, a series of subspaces are segmented based on the Normalized Cuts algorithm. The video summary is finally generated by choosing key frames from the significant subspaces and ranking these key frames in temporal order. The experimental results demonstrate that the proposed summarization algorithm can produce crucial key frames and effectively reduce the visual content redundancy in summary comparing with the conventional approaches. © Springer-Verlag Berlin Heidelberg 2013.

关键词： Vectors

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A fuzzy supervised learning method with dynamical parameter estimation for nonlinear discriminant analysis

A fuzzy supervised learning method with dynamical parameter ...

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作者： Song, Xiaoning Liu, Zi Yang, Xibei Yang, Jingyu School of Computer Science and Engineering Jiangsu University of Science and Technology Zhenjiang 212003 China School of Computer Science and Technology Nanjing University of Science and Technology Nanjing 210094 China Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University Hefei 230039 China

In this paper, we develop a novel fuzzy supervised learning algorithm based on the dynamical parameter estimation. First, a reformative supervised fuzzy LDA algorithm (RF-LDA) for the training samples is proposed. Compared with the conventional fuzzy LDA algorithm, the presented algorithm computes the discriminant vectors associated with the membership grade from each training sample, which is theoretically effective in overcoming the classification limitation originating from the imprecise samples. Second, when a novel fuzzy LDA model is required in order to take some decision about the feature extraction and classification, the dynamical parameter estimation method of the fuzzy LDA model should recursively process the measured data as they become available. In the line of previous arguments, we approach the problem of control parameter estimation of RF-LDA by considering the formulation of a Hopfield Neural Network (HNN), which is named HRF-LDA. Third, considering the fact that the Kernel Fisher Discriminant (KFD) is effective in extracting the nonlinear discriminative information of the feature space by using kernel trick, a kernel version of HRF-LDA is presented subsequently, which has the potential to outperform the traditional fuzzy learning algorithms, especially in the cases of nonlinear small sample sizes. The advantage of this learning algorithm is that it successfully utilizes the improved kernel fuzzy LDA algorithm as a supervised feature extraction tool. Meanwhile, by means of the control parameter estimation, we address the problem that the particular value of offset in the calculation of the grade of membership is dynamically assigned. Extensive experimental studies conducted on the ORL, NUST603, FERET, Yale and XM2VTS face images show the effectiveness of the proposed fuzzy integrated algorithm. © 2013 Elsevier Ltd. All rights reserved.

关键词： Parameter estimation

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An Implementation of Membrane Algorithms on GPU

An Implementation of Membrane Algorithms on GPU

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The Second Asian Conference on Membrane computing(ACMC2013)

作者： Xingyi Zhang Dong Qin Zhuanlian Ding Jin Tang Key Lab of Intelligent Computing and Signal Processing of Ministry of Education School of Computer Science and Technology Anhui University

Membrane algorithms are a new class of heuristic algorithms, which attempt to incorporate some components of membrane computing models (also called P systems) for designing efficient optimization algorithms, such as the structure of P systems, the way of communication between cells, etc. Membrane algorithms are a kind of parallel methods, where many operations can be performed in parallel. Although the importance of the parallelism of such algorithms is recognized, membrane algorithms were often implemented on the serial computing device Central processing Unit (CPU), which makes the algorithms cannot work in a more efficient way. In this work, we consider the implementation of membrane algorithms on the parallel computing device Graphics processing Unit (GPU). Under such implementation, all cells of membrane algorithms can work simultaneously. Experiment results on two classical intractable problems, point set matching problem and TSP, show that GPU implementation of membrane algorithms is much more efficient than CPU implementation in terms of runtime, especially for solving the problems with a high complexity.

关键词： Membrane computing Membrane algorithm Parallel computing device GPU

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A structural description: ordered AND/OR graph

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Journal of Information and Computational Science 2013年第11期10卷 3323-3330页

作者： Chen, Jie Zhang, Yanping Zhao, Shu School of Computer Science and Technology Anhui University Hefei 230039 China Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education Anhui University Hefei 230039 China

In the real word, the complex problems usually have netted structure, namely netted problems. The general methods to solve this kind of problems are based on the sequence structural description or tree structural description of problem. But the netted structure of complex problem cannot be simple pictured by sequence or tree. To precisely describe the structure of netted problem and simplify the solution procedure, ordered AND/OR graph is proposed in this paper to depict the problem structure. The graph has the hierarchy of tree structure, as well as nodes in this graph have AND relation and OR relation. More importantly, among the siblings from the same father node there exits order relationships. In this paper, an applicable example is given, and experiments show that the description of structure of netted problem is effective. © 2013 Binary Information Press.

关键词： Forestry

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Controlling chaos in mixed TCP and UDP model

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Journal of Computational Information Systems 2013年第23期9卷 9341-9346页

作者： Ding, Dawei Qiu, Sen Guo, Fan Zhang, Kun Xu, Xianfan Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education Anhui University Hefei 230039 China School of Electronics and Information Engineering Anhui University Hefei 230601 China

In this paper, a discrete time model of the mixed TCP and UDP connection with the RED is introduced. We use this one order discrete-time model to explain the instability, bifurcation and chaotic behaviors of the system. Then a time delayed feedback control approaches is applied to control the system in order to stabilize the chaotic behavior of average queue size. From numerical simulation it is concluded that the chaotic orbit can be stabilize to a fixed point when feedback parameter is properly chosen. Copyright © 2013 Binary Information Press.

关键词： Transmission control protocol

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Accelerated Plasma Simulations using the FDTD Method and the CUDA Architecture

Accelerated Plasma Simulations using the FDTD Method and the...

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2013 International Symposium on Antennas and Propagation(2013天线与传播国际会议)

作者： Wei Meng Yufa Sun Key Lab or Intelligent Computing & Signal Processing Ministry of Education Anhui University Hefei P.R.China

This letter presents the graphic processor unit (GPU)implementation of the finite-difference time-domain (FDTD)method for the solution of the two-dimensional electromagnetic fields inside dispersive *** improved Z-transform-based finite-difference time-domain (ZTFDTD) method was presented for simulating the interaction of electromagnetic wave with unmagnetized *** using the newly introduced Compute Unified Device Architecture (CUDA) technology, we illustrate the efficacy of GPU in accelerating the FDTD computations by achieving significant speedups with great ease and at no extra hardware *** effect of the GPU-CPU memory transfers on the speedup will be also studied.

关键词： GPU FDTD Z-transform CUDA

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Control of Hopf bifurcation in Internet congestion control model via time-delayed feedback control

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Information Technology Journal 2013年第18期12卷 4493-4497页

作者： Xu, Xian-Fan Fan, Guo Ding, Da-Wei Yi, Liu Han, Liu-Jun School of Electronics and Information Engineering Anhui University 230601 Hefei China Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University 230039 Hefei China

In this study, we are concerned with controlling Hopf bifurcation in a dual model of Internet congestion control algorithms. The stability of this system depends on a communication delay parameter, and Hopf bifurcation occurs when the communication delay passes through a critical value. Comparing with previous work, a time-delayed feedback method is proposed to postpone the onset of undesired Hopf bifurcation and improve stability of the dual model. Theoretical analysis and numerical simulation are provided to verify the effectiveness of our method. © 2013 Asian Network for Scientific Information.

关键词： Hopf bifurcation

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Adaptive Particle Filter with Estimation Windows

Adaptive Particle Filter with Estimation Windows

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2013年中国智能自动化学术会议

作者： Peng Li Jian Tang College of Information and Technology Key Laboratory of Intelligent Computing and Information ProcessingMinistry of EducationXiangtan University

Particle filter is well suited to estimate the state of non-linear non-Gaussian dynamic systems,which comes at the cost of higher computational *** in many real time applications,it must deal with constraints imposed by limited computational *** deal with this question,we distribute the samples among the different observations arriving during a filter update, the novel algorithm represents densities over the state space by mixtures of sample *** contribution of this paper is to increasing the efficiency of particle filters by adapting the size of sample sets during the estimation *** to the relative entropy theory and particle number controller idea,we choose the number of samples,decrease computation overhead.A simulation of the classic HARD bearing only tracking problem is presented,the results show that the novel algorithm performs better than generic particle filter.

关键词： Particle filter Estimation window Relative entropy Particle number controller

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Research of maneuvering target tracking based on particle filter

Research of maneuvering target tracking based on particle fi...

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Chinese Automation Congress (CAC)

作者： Xia Li Peng Li Yougui Guo Zhengbin Shen Ministry of Education Key Laboratory of Intelligent Computing & Information Processing Xiangtan city Hunan province China

The essence of maneuvering target tracking is mainly including maneuvering target modeling, maneuvering target detection or maneuvering target identification and filtering algorithm. In this paper, the maneuvering target model was described by the cooperative turn model, and tracked by the particle filter algorithm. The resample technique is introduced to overcome the problem of particle degradation in standard particle filter. Finally, we finished simulation experiments by Matlab, and compared the particle filter algorithm with the extended kalman filter algorithm, the results show that particle filter with the resample technique has a better performance in tracking precision, computational complexity, real-time performance and stability, it is a more effective method for maneuvering target tracking.

关键词： Target tracking Particle filters Mathematical model Filtering algorithms Noise Probability density function Computational modeling

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