The Experts below are selected from a list of 234 Experts worldwide ranked by ideXlab platform
Alexander Apolonski - One of the best experts on this subject based on the ideXlab platform.
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Chirped-pulse oscillators: A unified standpoint
Physical Review A, 2009Co-Authors: Vladimir L. Kalashnikov, Alexander ApolonskiAbstract:A completely analytical and unified approach to the theory of chirped-pulse oscillators is presented. The approach developed is based on the Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation and demonstrates that a chirped-pulse oscillator is controlled by only two parameters. It makes it easy to trace spread of the real-world characteristics of both solid-state and fiber oscillators operating in the positive-dispersion regime.
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Chirped-pulse oscillators: a unified standpoint
Physical Review A, 2009Co-Authors: Vladimir L. Kalashnikov, Alexander ApolonskiAbstract:A completely analytical and unified approach to the theory of chirped-pulse oscillators is presented. The approach developed is based on the Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation and demonstrates that a chirped-pulse oscillator is controlled by only two parameters. It makes it easy to trace spread of the real-world characteristics of both solid-state and fiber oscillators operating in the positive dispersion regime.Comment: 12 pages, 11 figures, 5 tables; the mathematical apparatus is described in detail in http://info.tuwien.ac.at/kalashnikov/genNCGLE.htm
Vladimir L. Kalashnikov - One of the best experts on this subject based on the ideXlab platform.
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The unified theory of chirped-pulse oscillators
Nonlinear Optics and Applications III, 2009Co-Authors: Vladimir L. KalashnikovAbstract:A completely analytical theory of chirped-pulse oscillators is presented. The theory is based on an Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation. The obtained parametric space of a chirped-pulse oscillator allows easy tracing the characteristics of both solid-state and fiber oscillators operating in the positive dispersion regime.Comment: 12 pages; 9 figures; Conference EOO/SPIE 2009, Prague, Czech Republic; the mathematical apparatus is presented in detail in http://info.tuwien.ac.at/kalashnikov/NCGLE1.html, http://info.tuwien.ac.at/kalashnikov/NCGLE2.html and http://info.tuwien.ac.at/kalashnikov/genNCGLE.htm
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The unified theory of chirped-pulse oscillators
arXiv: Optics, 2009Co-Authors: Vladimir L. KalashnikovAbstract:A completely analytical theory of chirped-pulse oscillators is presented. The theory is based on an Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation. The obtained parametric space of a chirped-pulse oscillator allows easy tracing the characteristics of both solid-state and fiber oscillators operating in the positive dispersion regime.
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Chirped-pulse oscillators: A unified standpoint
Physical Review A, 2009Co-Authors: Vladimir L. Kalashnikov, Alexander ApolonskiAbstract:A completely analytical and unified approach to the theory of chirped-pulse oscillators is presented. The approach developed is based on the Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation and demonstrates that a chirped-pulse oscillator is controlled by only two parameters. It makes it easy to trace spread of the real-world characteristics of both solid-state and fiber oscillators operating in the positive-dispersion regime.
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Chirped-pulse oscillators: a unified standpoint
Physical Review A, 2009Co-Authors: Vladimir L. Kalashnikov, Alexander ApolonskiAbstract:A completely analytical and unified approach to the theory of chirped-pulse oscillators is presented. The approach developed is based on the Approximate Integration of the generalized nonlinear complex Ginzburg-Landau equation and demonstrates that a chirped-pulse oscillator is controlled by only two parameters. It makes it easy to trace spread of the real-world characteristics of both solid-state and fiber oscillators operating in the positive dispersion regime.Comment: 12 pages, 11 figures, 5 tables; the mathematical apparatus is described in detail in http://info.tuwien.ac.at/kalashnikov/genNCGLE.htm
V. F. Babenko - One of the best experts on this subject based on the ideXlab platform.
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On the Optimal Recovery of Integrals of Set-Valued Functions
Ukrainian Mathematical Journal, 2016Co-Authors: V. F. Babenko, V. V. Babenko, M. V. PolishchukAbstract:In this paper we consider the problem of optimization of Approximate Integration of setvalued functions from the class defined by given majorant of their moduli of continuity, using values of the functions at n fixed or free points of their domain. We consider the cases of exact information and information with error.
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On the Optimal Recovery of Integrals of Set-Valued Functions
Ukrainian Mathematical Journal, 2016Co-Authors: V. F. Babenko, V. V. Babenko, M. V. PolishchukAbstract:We consider the problem of optimization of the Approximate Integration of set-valued functions from the class specified by a given majorant of their moduli of continuity performed by using the values of these functions at n fixed or free points of their domain.
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on one problem of optimization of Approximate Integration
arXiv: Functional Analysis, 2014Co-Authors: V. F. BabenkoAbstract:It is proved that interval quadrature formula of the form $$ q(f)=\sum\limits_{k=1}^nc_k\frac 1{2h}\int\limits_{x_k-h}^{x_k+h}f(t)dt $$ ($c_k\in \RR, \, x_1+h
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On Optimal Recovery of Integrals of Set-Valued Functions
arXiv: Functional Analysis, 2014Co-Authors: V. F. Babenko, V. V. Babenko, M. V. PolischukAbstract:In this paper we consider the problem of optimization of Approximate Integration of set-valued functions from the class defined by given majorant of their moduli of continuity, using values of the functions at $n$ fixed or free points of their domain. We consider the cases of exact information and information with error.
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Optimization of Approximate Integration of set-valued functions monotone with respect to inclusion
Ukrainian Mathematical Journal, 2011Co-Authors: V. F. Babenko, V. V. BabenkoAbstract:We obtain the best quadrature formula on the class of convex-valued functions defined on the segment [0, 1] and monotone with respect to inclusion.
Szymon Wąsowicz - One of the best experts on this subject based on the ideXlab platform.
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ON SOME INEQUALITY OF HERMITE-HADAMARD TYPE
Opuscula Mathematica, 2012Co-Authors: Szymon Wąsowicz, Alfred WitkowskiAbstract:It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the Approximate Integration, which is optimal. We also present its counterpart of Fejer type.
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On Functional Equations Connected with Quadrature Rules
gmj, 2009Co-Authors: Barbara Koclęga-kulpa, Tomasz Szostok, Szymon WąsowiczAbstract:Abstract The functional equations of the form are considered. They are connected with quadrature rules of the Approximate Integration. We show that such equations characterize polynomials in the class of continuous functions. It is also shown that if the number of components is sufficiently small, then the continuity is forced by the equation itself. Unique solvability of the considered problem are established.
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Hermite-Hadamard-type inequalities in the Approximate Integration
Mathematical Inequalities & Applications, 2008Co-Authors: Szymon WąsowiczAbstract:We give a slight extension of the Hermite-Hadamard inequality on simplices and we use it to establish error bounds of the operators connected with the Approximate Integration
Guillaume Vimont - One of the best experts on this subject based on the ideXlab platform.
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ISIP - Approximate Integration of Streaming Data
Communications in Computer and Information Science, 2019Co-Authors: Michel De Rougemont, Guillaume VimontAbstract:We study streams of tuples of a Datawarehouse and streams of edges of a dynamic graph. In the case of a Datawarehouse we show how to Approximate some OLAP queries with a weighted Reservoir sampling. In the case of graph edges from a Social Network, we Approximate the communities as the large connected components of the edges in the Reservoir. We show that for a model of random graphs which follow a power law degree distribution, the community detection algorithm is a good approximation. Given two streams of graph edges from two sources, we define the Content Correlation of the two streams as the fraction of the nodes in common communities in both streams. Although we do not store the edges of the streams, we Approximate the Content Correlation online and define the Integration of two streams as the collection of the large communities. We illustrate this approach with Twitter streams.
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Approximate Integration of streaming data
International Workshop on Information Search Integration and Personalization, 2018Co-Authors: Michel De Rougemont, Guillaume VimontAbstract:We study streams of tuples of a Datawarehouse and streams of edges of a dynamic graph. In the case of a Datawarehouse we show how to Approximate some OLAP queries with a weighted Reservoir sampling. In the case of graph edges from a Social Network, we Approximate the communities as the large connected components of the edges in the Reservoir. We show that for a model of random graphs which follow a power law degree distribution, the community detection algorithm is a good approximation. Given two streams of graph edges from two sources, we define the Content Correlation of the two streams as the fraction of the nodes in common communities in both streams. Although we do not store the edges of the streams, we Approximate the Content Correlation online and define the Integration of two streams as the collection of the large communities. We illustrate this approach with Twitter streams.
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Approximate Integration of streaming data
arXiv: Social and Information Networks, 2017Co-Authors: Michel De Rougemont, Guillaume VimontAbstract:We Approximate analytic queries on streaming data with a weighted reservoir sampling. For a stream of tuples of a Datawarehouse we show how to Approximate some OLAP queries. For a stream of graph edges from a Social Network, we Approximate the communities as the large connected components of the edges in the reservoir. We show that for a model of random graphs which follow a power law degree distribution, the community detection algorithm is a good approximation. Given two streams of graph edges from two Sources, we define the {\em Community Correlation} as the fraction of the nodes in communities in both streams. Although we do not store the edges of the streams, we can Approximate the Community Correlation and define the {\em Integration of two streams}. We illustrate this approach with Twitter streams, associated with TV programs.