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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Borisov, Andrey V. Semenikhin, Konstantin V. Russian Acad Sci Fed Res Ctr Comp Sci & Control Moscow Russia Natl Res Univ Moscow Aviat Inst Moscow Russia

The paper is devoted to the Bayesian estimation of finite-state random vector given the indirect non-stationary continuous-time observations corrupted by a Wiener noise. The key feature is that the noise intensity is a function of the estimated vector, hence the traditional optimal filtering framework fails in this case. The estimate is obtained both in the explicit integral form and as the solution to a stochastic differential system with some jump processes in the right hand side. The presence of the multiplicative noise gives a possibility to raise the estimation quality up to the exact value restoration. The numerical procedure for the estimate calculation is accompanied with the accuracy analysis. An example illustrating the performance of the proposed estimate is also presented. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Optimal estimation multiplicative noise continuous time filter local smoothing numerical algorithm

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New Theory and algorithm of Optimal Control Based on Natural Computation 11

New Theory and Algorithm of Optimal Control Based on Natural...

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11th International Conference on Natural Computation (ICNC) / 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

作者： Yang, Yi Nan, Ying Chen, Haoxiang Nanjing Univ Aeronaut & Astronaut Coll Astronaut Nanjing Jiangsu Peoples R China

ISBN: (纸本)9781467376792

This paper presents a new theory and algorithm regarding on optimal control based on natural computation. This natural algorithm simulates the survival and competition of multi-races and multi-individuals in the astrospace which consists of all races and individuals. This super-intelligent natural algorithm covers most of current optimization algorithms for dynamic and static parameters, and is applicable to a variety of fields and disciplines. In the natural running process, all races and individuals can compete for its own interests, and the final results must be optimal for the overall situation. Some numerical simulation results show that this new theory and algorithm of optimal control are correct and feasible, as well as superior for the multilateral confrontations problem.

关键词： nature computation natural running optimal control global integrative optimization numerical algorithm multilateral confrontations

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Computation of the filtration laws through porous media for a non-Newtonian fluid obeying the power law

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Computational Geosciences 1997年第2期1卷 127-153页

作者： Gipouloux, Olivier Equipe d'Analyse Numerique UMR 5585 Universite de Saint Etienne F-42023 Saint Etienne Cedex 23 Rue du Docteur Michelon France

We consider a stationary flow of an incompressible non-Newtonian flow through a porous medium, induced by an injection velocity when inertial effects are negligible. At the pore scale, the governing equations are based on a nonlinear relation between the stress and the rate of deformation. In such a situation, the limit problem obtained when the pore size tends to zero, is called the homogenized problem that leads to the filtration law. This filtration law is given by a non-linear system coupling a local problem on a typical cell of the porous medium to a global problem at the scale of the whole porous medium. We propose, in this work, a numerical method to solve this homogenized problem and apply this method when the velocity dependent viscosity is given by the power law. Finally, we propose some numerical experiments to illustrate our approach. © Baltzer Science Publishers BV.

关键词： Filtration law Homogenization Non-Newtonian fluid numerical algorithm Porous medium Power law

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An inverse eigenvalue problem of the theory of optical waveguides

An inverse eigenvalue problem of the theory of optical waveg...

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International Conference on Days on Diffraction (DD)

作者： Karchevskii, E. M. Spiridonov, A. O. Kazan Fed Univ Dept Appl Math Kazan Russia

ISBN: (纸本)9781479966998

We present a new method for calculation of permittivities of dielectric materials using optical fiber's propagation constants measurements. Our numerical algorithm is based on approximate solution of a nonlinear nonselfadjoint inverse eigenvalue problem for a system of weakly singular integral equations. We prove that it is enough to measure propagation constants of fundamental eigenmode only at two frequencies for reconstruction of dielectric constants of core and cladding of a waveguide.

关键词： approximation theory eigenvalues and eigenfunctions integral equations inverse problems optical fibre cladding optical fibre testing permittivity approximate solution dielectric constants dielectric materials fundamental eigenmode nonlinear nonselfadjoint inverse eigenvalue problem numerical algorithm optical fiber propagation constant measurements optical waveguide theory singular integral equations waveguide cladding waveguide core Eigenvalues and eigenfunctions Nonlinear optics Optical waveguide theory Permittivity Propagation constant Splines (mathematics) Dielectric constant Optical waveguide theory Eigenfunctions Propagation constant singular integral equations dielectric materials Optical fiber testing optical fibre cladding Approximation Theory Nonlinear optics Integral equations Inverse method dielectric properties

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The solution of the variational problem of the construction of the contour of a two-regime pipe

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Fluid Dynamics 1973年第4期8卷 590-595页

作者： Osipov, A.A.

This paper is devoted to the problem of the optimal shaping of the supersonic part of a pipe in those cases when the engine is designed to operate in two essentially distinct regimes. The different regimes may be determined, for example, by a difference in fuel consumption, in the configuration of the pipe, which may be a consequence of some adjustment in the conditions of the external medium, etc. We consider two cases. In one of these the pipe may be controlled by a central body moved into it, and in this case only two regimes are possible for such a pipe, i.e., when there is a central body and when the central body is absent. In the second, the flow parameters at the inlet of the pipe, which has no subsonic part, vary for some reason while the configuration of the pipe is fixed (for example, due to a change in fuel consumption or in the parameters at the entrance to the air intake, etc.). We obtain the necessary conditions determining the shape of the optimal contour, and to construct it we develop a numerical algorithm. We give examples of optimal pipes, the contours of which are constructed by the abovementioned algorithm and compare them with pipes chosen in accordance with other considerations. © 1975 Plenum Publishing Corporation.

关键词： Fuel Consumption Variational Problem numerical algorithm Optimal Shaping Flow Parameter

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Mathematical Modeling and Computational Simulation of the Diffusive Behavior of Adenocarcinoma Biomarker Particles 5th

Mathematical Modeling and Computational Simulation of the Di...

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5th Workshop on Engineering Applications (WEA)

作者： Vallejo, Esteban Suarez, Gustavo Torres, William Uribe, Adolfo Univ Pontificia Bolivariana Math Grp GMAT Cir 1 70-01 Medellin 050031 Colombia Clin Las Amer Video Endoscopy Unit Dg 75B 2A-80-140 Medellin 050025 Colombia

ISBN: (纸本)9783030003500;9783030003494

Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions;in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of 1 * 10(-6) kg/m(3). The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase.

关键词： Colorectal adenocarcinoma Mathematical modeling numerical algorithm Simulation Diffusive behavior

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Parallelism of double Divide and Conquer algorithm for singular value decomposition

Parallelism of double Divide and Conquer algorithm for singu...

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International Conference on Parallel and Distributed Computing and Networks

作者： Konda, Taro Tsuboi, Hiroaki Takata, Masami IIwasaki, Masashi Nakamura, Yoshimasa Kyoto Univ Grad Sch Informat Dept Appl Math & Phys Sakyo Ku Yoshida Honmachi Kyoto Japan Nara Womens Univ Grad Sch Humanity & Sci Nara Japan JST SORST Osaka Japan

ISBN: (纸本)9780889866379

This paper presents some numerical evaluations of parallel double Divide and Conquer for singular value decomposition. For eigenvalue decomposition and singular value decomposition, double Divide and Conquer was recently proposed. It rst computes eigen/singular values by a compact version of Divide and Conquer. The corresponding eigen/singular vectors are then computed by twisted factorization. The speed and accuracy of double Divide and Conquer are as good or even better than standard algorithms such as QR and the original Divide and Conquer. In addition, it is expected that double Divide and Conquer has great parallelism because each step is theoretically parallel and heavy communication is not required. This paper numerically evaluates a parallel implementation of dDC with MPI on some large scale problems using a distributed memory architecture and a massively parallel super computer, especially in terms of parallelism. It shows high scalability and super linear speed-up is observed in some cases.

关键词： parallel computing singular value decomposition eigenvalue decomposition numerical algorithm linear algebra

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Image Enhancement with Applications in Biomedical Processing 3rd

Image Enhancement with Applications in Biomedical Processing

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3rd Conference on Information Technology, Systems Research and Computational Physics (ITSRCP)

作者： Charytanowicz, Malgorzata Kulczycki, Piotr Lukasik, Szymon Kowalski, Piotr A. Polish Acad Sci Syst Res Inst Ctr Informat Technol Data Anal Methods Newelska 6 PL-01447 Warsaw Poland Lublin Univ Technol Elect Engn & Comp Sci Fac Nadbystrzycka 36A PL-20618 Lublin Poland AGH Univ Sci & Technol Div Informat Technol & Biometr Fac Phys & Appl Comp Sci Mickiewicza 30 PL-30059 Krakow Poland

ISBN: (纸本)9783030180584;9783030180577

The images obtained by X-Ray or computed tomography (CT) may be contaminated with different kinds of noise or show lack of sharpness, too low or high intensity and poor contrast. Such image deficiencies can be induced by adverse physical conditions and by the transmission properties of imaging devices. A number of enhancement techniques in image processing may improve the quality of the image. These include: point arithmetic operations, smoothing and sharpening filters and histogram modifications. The choice of the technique, however, depends on the type of image deficiency. In this paper, the primary aim is to propose an efficient image enhancement method based on non-parametric estimation so as to enable medical images to have better contrast. To evaluate the method performance, X-Ray and CT images have been studied. Experimental results verify that applying this approach can engender good image enhancement performance when compared with classical techniques.

关键词： Image enhancement Contrast stretching Nonparametric estimation numerical algorithm X-ray images

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Methodically Unified Procedures for Outlier Detection, Clustering and Classification 4th

Methodically Unified Procedures for Outlier Detection, Clust...

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Future Technologies Conference (FTC)

作者： Kulczycki, Piotr Polish Acad Sci Ctr Informat Technol Data Anal Methods Syst Res Inst Krakow Poland AGH Univ Sci & Technol Fac Phys & Appl Comp Sci Div Informat Technol & Syst Res Krakow Poland

ISBN: (纸本)9783030325206;9783030325190

In the practice of data analysis some problems for manysided researches are caused by the methodological variety of specific algorithms, often leading to laborious interpretations and time-consuming studies. This paper presents the concept of methodically unified procedures, based on kernel estimators, for three fundamental tasks: outlier detection, clustering, and classification. Their clear interpretation facilitates the applications and potential individual modifications. The investigated procedures are distribution-free, enabling analysis and exploration of data with any distributions, also when elements are grouped in several separated parts. The results obtained depend not only on the values of particular attributes, but above all on the complex relationships between them.

关键词： Outlier detection Clustering Classification Distribution free methods Kernel estimators numerical algorithm

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REMARKS ON algorithmS WITH numerical CONSTANTS

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COMMUNICATIONS OF THE ACM 1970年第9期13卷 575-&页

作者： DUNHAM, CB Univ. of Western Ont. London Canada

No abstract available.

关键词： numerical algorithm numerical constants

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