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A generalized fractional sub-equation method for nonlinear fractional differential equations

AIP Conference Proceedings 2014年第1期1611卷 78-83页

作者： Ahmet Bekir Esin Aksoy Özkan Güner Eskişehir Osmangazi University Art-Science Faculty Department of Mathematics and Computer Science Eskişehir Turkey Yildiz Technical University Art-Science Faculty Department of Mathematics İstanbul Turkey Dumlupınar University School of Applied Sciences Department of Management Information Systems Kütahya Turkey

This letter studies some nonlinear fractional differential equations. The sub-equation method is used for finding exact solutions of these equations. Meanwhile, the traveling wave transformation method has been used to convert fractional order partial differential equation to fractional order ordinary differential equation. Calculations in this method are simple and effective mathematical tool for solving fractional differential equations in science and engineering. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations.

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RPDM: reply plan with defense mechanism

RPDM: reply plan with defense mechanism

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2014 International Conference on Advanced Control, Automation and Robotics (ACAR2014)

作者： Y.Liu W.X.Gu College of Mathematics and Statistics Northeast Normal University College of Computer Science and Information Technology Northeast Normal University Institute of Applied Mathematics and Intelligent Systems Changchun Architecture and Civil Engineering College

ISBN: (纸本)9781784660468

Reply plan is a kind of opposability plan of adversarial plan. It is impossible to design a general reply plan since the adversarial plan is complex and diverse. And the difficulties stem from the facts that reply plan cannot be rehearse. To meet these challenges, this paper presents a reply plan with defense mechanism(RPDM) inspired by the human stress response. The paper views the stress response as a template that can against threats, and exploits such properties to design the RPDM. The paper concludes with a demonstration to illustrate how the RPDM works and discusses potential applications.

关键词： stress response adversarial plan reply plan hormone regulate equation reply plan with defense mechanism

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A Tuning Approach for Offset-free MPC with Conditional Reference Adaptation

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IFAC Proceedings Volumes 2014年第3期47卷 3062-3067页

作者： Harald Waschl John Bagterp Jørgensen Jakob Kjøbsted Huusom Luigi del Re Institute for Design and Control of Mechatronical Systems Johannes Kepler University Linz Austria Department of Applied Mathematics and Computer Science Technical University of Denmark Denmark Department of Chemical and Biochemical Engineering Technical University of Denmark Denmark

Model predictive control has become a widely accepted strategy in industrial applications in the recent years. Often mentioned reasons for the success are the optimization based on a system model, consideration of constraints and an intuitive tuning process. However, as soon as unknown disturbances or model plant mismatch have to be taken into account the tuning effort to achieve offset-free tracking increases. In this work a novel approach for offset-free MPC is presented, which divides the tuning in two steps, the setup of a nominal MPC loop and an external reference adaptation. The inner nominal loop addresses the performance targets in the nominal case, decouples the system and essentially leads to a first order response. The second outer loop enables offset-free tracking in case of unknown disturbances and consists of feedback controllers adapting the reference. Due to the mentioned properties these controllers can be tuned separate and by known guidelines. To address conditions with active input constraints, additionally a conditional reference adaptation scheme is introduced. The tuning strategy is evaluated on a simulated linear Wood-Berry binary distillation column example.

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Improving Graph Edit Distance Approximation by Centrality Measures

Improving Graph Edit Distance Approximation by Centrality Me...

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International Conference on Pattern Recognition

作者： Kaspar Riesen Horst Bunke Andreas Fischer Institute for Information Systems University of Applied Sciences and Arts Northwestern Switzerland Olten Switzerland Institute of Computer Science and Applied Mathematics University of Bern Bern Switzerland Biomedical Science and Technologies Research Centre Polytechnique Montreal Montreal Canada

ISBN: (纸本)9781479952106

In recent years the authors of the present paper introduced a powerful approximation fra or the graph edit distance problem. The basic idea of this approximation is to build a square cost matrix C = (cj), where each entry reflects the cost of a node substitution, deletion or insertion plus the matching cost arising from the local edge structure. Based on C an optimal assignment of the nodes and their local structure can be established in polynomial time (using, for instance, the Hungarian algorithm). Since this approach considers the local -- rather than the global -- structural properties of the graphs only, the obtained graph edit distance value is suboptimal in the sense of overestimating the true edit distance in general. The present paper pursues the idea of including topological information in the node labels in order to increase the amount of structural information available during the initial assignment process. In an experimental evaluation on three real world data sets a reduction of the overestimation can be observed while the run time is only moderately increased compared to our original framework.

关键词： Approximation methods Pattern recognition Approximation algorithms Standards Time measurement Conferences Matrices

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Exact solutions of nonlinear fractional differential equations by (G'/G)-expansion method

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Chinese Physics B 2013年第11期22卷 140-145页

作者： Ahmet Bekir zkan Güner Eskisehir Osmangazi University Art-Science Faculty Department of Mathematics-Computer Dumlup nar University School of Applied Sciences Department of Management Information Systems

In this paper, we use the fractional complex transform and the （G＇/G）-expansion method to study the nonlinear fractional differential equations and find the exact solutions. The fractional complex transform is proposed to convert a partial fractional differential equation with Jumarie＇s modified Riemann-Liouville derivative into its ordinary differential equation. It is shown that the considered transform and method are very efficient and powerful in solving wide classes of nonlinear fractional order equations.

关键词：（G＇/G）-expansion method time-fractional Burgers equation fractional-order biological popula-tion model space-time fractional Whitham-Broer-Kaup equations

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Optic disc and macula detection in fundus images by means of template matching 36

Optic disc and macula detection in fundus images by means of...

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2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2014

作者： Garduno-Alvarado, Tzolkin Martinez-Perez, M. Elena Martinez-Castellanos, Maria A. Rodriguez-Quinones, Luvia Salinas-Longoria, Samantha M. Department of Computer Science Institute of Research in Applied Mathematics and Systems Ciudad Universitaria Cicuito Escolar 3000 México D.F. Mexico Asociaci Para Evitar la Ceguera en México I.A.P Hospital 'Dr. Luis Sanchez Bulnes' Vicente Garcia Torres 46 México D.F. Mexico

ISBN: (纸本)9781424479290

Various methods for detecting optic disc and macula in fundus images have been developed. Our aim is to propose a fairly easy method for detecting both features jointly. This is achieved by first correcting inhomogenous luminosity using a polynomial approximation of the background of the images. Secondly, the use of the cross-correlation in the frequency domain between the images and a steerable template which contains both structures. The 38 photographs used in this work belong to a local database of patients suffering diabetic retinopathy along its four severity stages. Our results showed 100% optic disc centers located within the OD area and 90% macula centers located within the MC area. © 2014 IEEE.

关键词： Biomedical optical imaging Diabetes Image color analysis Optical imaging Polynomials Retina Training

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Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation

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Communications in Computational Physics 2014年第1期15卷 1-45页

作者： Henk A.Dijkstra Fred W.Wubs Andrew K.Cliffe Eusebius Doedel Ioana F.Dragomirescu Bruno Eckhardt Alexander Yu.Gelfgat Andrew L.Hazel Valerio Lucarini Andy G.Salinger Erik T.Phipps Juan Sanchez-Umbria Henk Schuttelaars Laurette S.Tuckerman Uwe Thiele Institute for Marine and Atmospheric Research Utrecht Utrecht UniversityThe Netherlands. Department of Mathematics and Computer Science University of GroningenGroningenThe Netherlands. School of Mathematical Sciences University of NottinghamNottinghamUK Department of Computer Science Concordia UniversityMontrealCanada. National Centre for Engineering Systems of Complex Fluids University Politehnica of TimisoaraRomania. Fachbereich Physik Philipps-Universitat MarburgMarburgGermany. School of Mechanical Engineering Faculty of EngineeringTel-Aviv UniversityTel-AvivIsrael. School of Mathematics University of ManchesterManchesterUK. Meteorological Institute KlimacampusUniversity of HamburgHamburgGermany. Department of Mathematics and Statistics University of ReadingReadingUK. Sandia National Laboratories AlbuquerqueUSA. Departament de Fisica Aplicada Universitat Politecnica de CatalunyaBarcelonaSpain. Department of Applied Mathematical Analysis TU DelftDelftthe Netherlands. PMMH-ESPCI ParisFrance. Department of Mathematical Sciences Loughborough UniversityLoughboroughUK.

We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical *** of these problems are characterized by high-dimensional dynamical systems which undergo transitions as parameters are *** computation of the critical conditions associated with these transitions,popularly referred to as‘tipping points’,is important for understanding the transition *** describe the two basic classes of methods of numerical bifurcation analysis,which differ in the explicit or implicit use of the Jacobian matrix of the dynamical *** numerical challenges involved in both methods are mentioned and possible solutions to current bottlenecks are *** demonstrate that numerical bifurcation techniques are not restricted to relatively low-dimensional dynamical systems,we provide several examples of the application of the modern techniques to a diverse set of fluid mechanical problems.

关键词： Numerical bifurcation analysis transitions in fluid flows high-dimensional dynamical systems.

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Active Fault Isolation in MIMO systems

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IFAC Proceedings Volumes 2014年第3期47卷 8012-8017页

作者： Henrik Niemann Niels Kjølstad Poulsen Department of Electrical Engineering Automation and Control Technical University of Denmark Building 326 DK-2800 Kgs. Lyngby Denmark Dept. of Applied Mathematics and Computer Science Section for Dynamical Systems Technical University of Denmark DK-2800 Kgs. Lyngby Denmark

Active fault isolation of parametric faults in closed-loop MIMO systems are considered in this paper. The fault isolation consists of two steps. The first step is group-wise fault isolation. Here, a group of faults is isolated from other possible faults in the system. The group-wise fault isolation is based directly on the input/output signals applied for the fault detection. It is guaranteed that the fault group includes the fault that had occurred in the system. The second step is individual fault isolation in the fault group. Both types of isolation are obtained by applying dedicated auxiliary inputs and the associated residual outputs.

关键词： Active fault isolation MIMO systems YJBK parameterization

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A CUDA Implementation of the Spatial TAU-Leaping in Crowded Compartments (STAUCC) Simulator

A CUDA Implementation of the Spatial TAU-Leaping in Crowded ...

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Euromicro Conference on Parallel, Distributed and Network-Based Processing

作者： Giulia Pasquale Carlo Maj Andrea Clematis Ettore Mosca Luciano Milanesi Ivan Merelli Daniele DAgostino National Research Council of Italy Institute for Applied Mathematics and Information Technologies Genoa Italy Department of Computer Science Systems and Communications University of Milano-Bicocca Milan Italy National Research Council of Italy Institute for Biomedical Technologies Segrate Milan Italy

The increasing awareness of the pivotal role of noise in biochemical systems has given rise to a strong need for suitable stochastic algorithms for the description and the simulation of biological phenomena. However, the high computational demand that characterizes stochastic simulation approaches coupled with the necessity to simulate the models several times to achieve statistically relevant information on the model behaviors makes the application of such kind of algorithms often unfeasible. So far, different parallelization approaches have been employed to reduce the computational time required for the analysis of biochemical systems modeled using stochastic algorithms. Most of the proposed solutions use an embarrassingly parallel approach to run in parallel several simulations using the cores of a workstation and/or the nodes of a cluster. In this work we present the Spatial TAU-leaping in Crowded Compartments (STAUCC) simulator, a software that relies on an efficient CUDA implementation of the Stau-DPP algorithm, a voxel-based method for the stochastic simulation of Reaction-Diffusion processes. We evaluate its application and performance for the modeling of diffusion processes simultaneously occurring within a space represented considering different levels of granularity.

关键词： Computational modeling Graphics processing units Stochastic processes Instruction sets Biological system modeling Kernel Synchronization

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Towards automated discrimination of lipids versus peptides from full scan mass spectra

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EuPA Open Proteomics 2014年 4卷 87-100页

作者： Dittwald, Piotr Vu, Trung Nghia Harris, Glenn A. Caprioli, Richard M. Van de Plas, Raf Laukens, Kris Gambin, Anna Valkenborg, Dirk College of Inter-faculty Individual Studies in Mathematics and Natural Sciences University of Warsaw Warsaw Poland Institute of Informatics University of Warsaw Warsaw Poland Department of Mathematics and Computer Science University of Antwerp Antwerp Belgium Biomedical Informatics Research Center Antwerp (biomina) University of Antwerp/Antwerp University Hospital Edegem Belgium Mass Spectrometry Research Center and Departments of Biochemistry Chemistry Pharmacology and Medicine Vanderbilt University Nashville United States Mossakowski Medical Research Centre Polish Academy of Sciences Warsaw Poland Applied Bio and Molecular Systems VITO Mol Belgium Center for Proteomics Antwerp Belgium Interuniversity Institute for Biostatistics and Statistical Bioinformatics Hasselt University Diepenbeek Belgium

Although physicochemical fractionation techniques play a crucial role in the analysis of complex mixtures, they are not necessarily the best solution to separate specific molecular classes, such as lipids and peptides. Any physical fractionation step such as, for example, those based on liquid chromatography, will introduce its own variation and noise. In this paper we investigate to what extent the high sensitivity and resolution of contemporary mass spectrometers offers viable opportunities for computational separation of signals in full scan spectra. We introduce an automatic method that can discriminate peptide from lipid peaks in full scan mass spectra, based on their isotopic properties. We systematically evaluate which features maximally contribute to a peptide versus lipid classification. The selected features are subsequently used to build a random forest classifier that enables almost perfect separation between lipid and peptide signals without requiring ion fragmentation and classical tandem MS-based identification approaches. The classifier is trained on in silico data, but is also capable of discriminating signals in real world experiments. We evaluate the influence of typical data inaccuracies of common classes of mass spectrometry instruments on the optimal set of discriminant features. Finally, the method is successfully extended towards the classification of individual lipid classes from full scan mass spectral features, based on input data defined by the Lipid Maps Consortium. © 2014 The Authors.

关键词： Bioinformatics Lipid centrifuge Lipid/peptide classification Lipidomics Machine learning Peptidomics

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