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Bernoulli numbers and sum of powers of integers of higher order

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arXiv 2017年

作者： Svinin, Andrei K. Svinina, Svetlana V. Siberian Branch of Russian Academy of Sciences Matrosov Institute for System Dynamics and Control Theory P.O. Box 292 Irkutsk664033 Russia

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PARTICLE IDENTIFICATION IN GROUND-BASED GAMMA-RAY ASTRONOMY USING CONVOLUTIONAL NEURAL NETWORKS

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arXiv 2018年

作者： Postnikov, E.B. Bychkov, I.V. Dubenskaya, J.Y. Fedorov, O.L. Kazarina, Y.A. Korosteleva, E.E. Kryukov, A.P. Mikhailov, A.A. Nguyen, M.D. Polyakov, S.P. Shigarov, A.O. Shipilov, D.A. Zhurov, D.P. Leninskie gory GSP-1 Moscow119991 Russia Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences 134 Lermontov st. P.O. Box 292 Irkutsk664033 Russia Irkutsk State University 1 Karl Marx st. Irkutsk664003 Russia 20 Bul’var Gagarina Irkutsk664003 Russia

Modern detectors of cosmic gamma-rays are a special type of imaging telescopes (air Cherenkov telescopes) supplied with cameras with a relatively large number of photomultiplier-based pixels. For example, the camera of the TAIGA-IACT telescope has 560 pixels of hexagonal structure. Images in such cameras can be analysed by deep learning techniques to extract numerous physical and geometrical parameters and/or for incoming particle identification. The most powerful deep learning technique for image analysis, the so-called convolutional neural network (CNN), was implemented in this study. Two open source libraries for machine learning, PyTorch and TensorFlow, were tested as possible software platforms for particle identification in imaging air Cherenkov telescopes. Monte Carlo simulation was performed to analyse images of gamma-rays and background particles (protons) as well as estimate identification accuracy. Further steps of implementation and improvement of this technique are discussed. Copyright © 2018, The Authors. All rights reserved.

关键词： Cameras

The curvilinear search algorithm for solving three-person game 9th

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The curvilinear search algorithm for solving three-person ga...

9th International Conference on Discrete Optimization and Operations Research, DOOR 2016

作者： Enkhbat, Rentsen Tungalag, Natsagdorj Gornov, Alexander Anikin, Anton National University of Mongolia Mongolia Institute for System Dynamics and Control Theory SB RAS Russia

We formulate the problem of finding a Nash equilibrium point for the non-zero sum three-person game as a nonconvex optimization problem by generalizing Mills's theorem [10]. For solving the problem, we propose the curvilinear algorithm which allows us to find global solutions. The proposed algorithm was tested numerically on some examples as well as on 3 competitive companies which share the bread market of the city Ulaanbataar. Copyright © by the paper's authors.

关键词： Global optimization

Estimates of the Domain of Dependence for Scalar Conservation Laws

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arXiv 2017年

作者： Pogodaev, Nikolay Krasovskii Institute of Mathematics and Mechanics Kovalevskay str. 16 Yekaterinburg620990 Russia Matrosov Institute for System Dynamics and Control Theory Lermontov str. 134 Irkutsk664033 Russia

35L65, 93B03We consider the Cauchy problem for a multidimensional scalar conservation law and construct an outer estimate for the domain of dependence of its Kružkov solution. The estimate can be represented as the controllability set of a specific differential inclusion. In addition, reachable sets of this inclusion provide outer estimates for the support of the wave profiles. Both results follow from a modified version of the classical Kružkov uniqueness theorem, which we also present in the paper. Finally, the results are applied to a control problem consisting in steering a distributed quantity to a given set. Copyright © 2017, The Authors. All rights reserved.

关键词： Physical properties

On checking properties of decentralized controlled discrete-event systems

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AIP Conference Proceedings 2018年第1期2046卷

作者： Nadezhda Nagul Artem Davydov 1Matrosov Institute for System Dynamics and Control Theory Siberian Branch of the Russian Academy of Science Lermontov str. 134 664033 Irkutsk Russia.

In spite of intensive study since 1980s, there are still a lot of open problems in the supervisory control theory of discrete-event systems (DES), especially partially observed and decentralized ones, due to complexity issues of supervisor’s construction and verification algorithms. An important problem is the decentralized supervisory control, implemented by a set of automata each observing its own part of the system behavior. Preservation of co-observability of specification languages for DES under state space reduction, which is applied to reduce SCT algorithms computational complexity, is studied. One popular automata abstraction is considered and conditions for its applicability are obtained using the method of logical-algebraic equations.

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Numerical Algorithm for Optimal control of Continuity Equations

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arXiv 2017年

An optimal control problem for the continuity equation is considered. The aim of a controller is to maximize the total mass within a target set at a given type moment. An iterative numerical algorithm for solving this... 详细信息

关键词： Numerical methods

Russian–German Astroparticle Data Life Cycle Initiative

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arXiv 2018年

作者： Bychkov, Igor Demichev, Andrey Dubenskaya, Julia Fedorov, Oleg Haungs, Andreas Heiss, Andreas Kang, Donghwa Kazarina, Yulia Korosteleva, Elena Kostunin, Dmitriy Kryukov, Alexander Mikhailov, Andrey Nguyen, Minh-Duc Polyakov, Stanislav Postnikov, Evgeny Shigarov, Alexey Shipilov, Dmitry Streit, Achim Tokareva, Victoria Wochele, Doris Wochele, Jürgen Zhurov, Dmitry Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences Lermontov st. 134 P. O. Box 292 Irkutsk664033 Russia Irkutsk State University Karl Marks st. 1 Irkutsk664003 Russia Moscow119991 Russia Applied Physics Institute Irkutsk State University Gagarin Blvd. 20 Irkutsk664003 Russia Institute for Nuclear Physics Karlsruhe Institute of Technology KIT Karlsruhe76021 Germany Steinbuch Centre for Computing Karlsruhe Institute of Technology KIT Karlsruhe76021 Germany

Modern large-scale astroparticle setups measure high-energy particles, gamma rays, neutrinos, radio waves, and the recently discovered gravitational waves. Ongoing and future experiments are located worldwide. The data acquired have different formats, storage concepts, and publication policies. Such differences are a crucial point in the era of Big Data and of multi-messenger analysis in astroparticle physics. We propose an open science web platform called *** which enables us to publish, store, search, select, and analyze astroparticle data. In the first stage of the project, the following components of a full data life cycle concept are under development: describing, storing, and reusing astroparticle data;software to perform multi-messenger analysis using deep learning;and outreach for students, post-graduate students, and others who are interested in astroparticle physics. Here we describe the concepts of the web platform and the first obtained results, including the meta data structure for astroparticle data, data analysis by using convolution neural networks, description of the binary data, and the outreach platform for those interested in astroparticle physics. The KASCADE-Grande and TAIGA cosmic-ray experiments were chosen as pilot examples. Copyright © 2018, The Authors. All rights reserved.

关键词： Gamma rays

A universal modification of the linear coupling method

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arXiv 2017年

作者： Guminov, Sergey Gasnikov, Alexander Anikin, Anton Gornov, Alexander Moscow Institute of Physics and Technology Moscow Russia Institute for Information Transmission Problems RAS Moscow Russia Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences Irkutsk Russia

In the late sixties, N. Shor and B. Polyak independently proposed optimal first-order methods for solving non-smooth convex optimization problems. In 1982 A. Nemirovski proposed optimal first-order methods for solving smooth convex optimization problems, which utilized auxiliary line search. In 1985 A. Nemirovski and Yu. Nesterov proposed a parametric family of optimal first-order methods for solving convex optimization problems with intermediate smoothness. In 2013 Yu. Nesterov proposed a universal gradient method which combined all good properties of the previous methods, except the possibility of using auxiliary line search. One can typically observe that in practice auxiliary line search improves performance for many tasks. In this paper, we propose the apparently first such method of non-smooth convex optimization allowing the use of the line search procedure. Moreover, it is based on the universal gradient method, which does not require any a priori information about the actual degree of smoothness of the problem. Numerical experiments demonstrate that the proposed method is, in some cases, considerably faster than Nesterov's universal gradient method.90C25, 68Q25 Copyright © 2017, The Authors. All rights reserved.

关键词： Convex optimization

Configurable table structure recognition in untagged PDF documents 16

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Configurable table structure recognition in untagged PDF doc...

16th ACM Symposium on Document Engineering, DocEng 2016

作者： Shigarov, Alexey Mikhailov, Andrey Altaev, Andrey Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov st. Irkutsk Russia

ISBN: (纸本)9781450344388

Today, PDF is one of the most popular document formats in the web. Many PDF documents are not images, but remain untagged. They have no tags for identifying the logical reading order, para- graphs, figures, and tables. One of the challenges with these doc- uments is how to extract tables from them. The paper discusses a new system for table structure recognition in untagged PDF doc- uments. It is formulated as a set of configurable parameters and ad-hoc heuristics for recovering table cells. We consider two dif- ferent configurations for the system and demonstrate experimental results based on the existing competition dataset for both of them.

关键词： table structure recognition pdf document analysis table extraction pdf accessibility untagged pdf documents