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Parallel Clustering Algorithm for the k-medoids Problem in High-dimensional Space for Large-scale Datasets 19

Parallel Clustering Algorithm for the k-medoids Problem in H...

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19th International Asian School-Seminar on Optimization Problems of Complex systems, OPCS 2023

作者： Vandanov, Sergey Plyasunov, Aleksandr Ushakov, Anton Novosibirsk State University Department of Physics Novosibirsk Russia Sobolev Institute of Mathematics of Sb Ras Lab. of Mathematical Models of Decision Making Novosibirsk Russia Matrosov Institute for System Dynamics and Control Theory of Sb Ras Irkutsk Russia

ISBN: (纸本)9798350331134

We present a robust, parallel primal-dual heuristic algorithm for the k-medoids clustering problem, a widely utilized method in data mining and machine learning. Our approach surpasses current algorithms by effectively addressing their limitations, such as time-consuming distance matrix calculations, inefficient nearest-neighbor searches, and difficulties in handling large-scale datasets. To overcome these challenges, we employ an efficient parallel implementation, combined with a pioneering subgradient search algorithm. We evaluate our algorithm on the BIRCH and Stanford Dog datasets and demonstrate its superiority over existing k-medoids clustering algorithms in terms of solution quality and run time. Additionally, we introduce a novel vectorization technique that enables our algorithm to handle various types of data, such as images, text, and point data. Overall, our work contributes to the field of data mining and machine learning by providing an efficient and effective solution for the k-medoids clustering problem. The proposed algorithm offers improved performance, and versatility, making it a valuable tool for a wide range of applications. © 2023 IEEE.

关键词： Clustering algorithms

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Loop mixing of the opposite parity fermion fields and its manifestation in πn scattering 22

Loop mixing of the opposite parity fermion fields and its ma...

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22nd International Baldin Seminar on High Energy Physics Problems "Relativistic Nuclear Physics and Quantum Chromodynamics", Baldin ISHEPP 2014

作者： Lomov, Vladimir Kaloshin, A.E. Kobeleva, E.A. Institute for System Dynamics and Control Theory of SB RAS Irkutsk Russia Irkutsk State University Irkutsk Russia

We develop a variant of K-matrix, which includes the effect of opposite parity fermions (OPF) mixing, and apply it for description of pN partial waves S11 and P11. OPF-mixing leads to appearance of negative energy poles in K-matrix and restoration of MacDowell symmetry, relating two partial waves. Joint analysis of PWA results for S11 and P11 confirms significance of this effect. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

关键词： Mixing

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From unstructured to structured tabular data using a rule engine

From unstructured to structured tabular data using a rule en...

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2015 5th International Workshop on Computer Science and Engineering: Information Processing and control Engineering, WCSE 2015-IPCE

作者： Shigarov, Alexey O. Bychkov, Igor V. Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov st. Irkutsk664033 Russia

Today, a huge amount of unstructured tabular data is contained in tables from different sources, e.g. image documents, web pages, and spreadsheets. Sometimes these tables are only available data source. To use that information in business intelligence we need to transform data from these tables to structured form like relational databases. We propose an approach to the tabular data transformation from unstructured (spreadsheets) to structured (relational databases) form using a rule engine. Our table interpretation rules can use spatial, style (typographical), and natural language information from tables. The experimental evaluation shows that the approach can be applied to a wide range of tables from statistical and financial reports.

关键词： Data integration

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Development of spatial data infrastructure in the Mongolian academy of sciences

Development of spatial data infrastructure in the Mongolian ...

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2015 5th International Workshop on Computer Science and Engineering: Information Processing and control Engineering, WCSE 2015-IPCE

作者： Bychkov, Igor V. Shigarov, Alexey O. Paramonov, Viacheslav V. Ruzhnikov, Gennadiy M. Hmelnov, Alexey E. Fedorov, Roman K. Burlakov, Alexey S. Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov st. Irkutsk664033 Russia

The paper describes the background and prospects of the development of the spatial data infrastructure (SDI) in the scientific institutions of the Mongolian Academy of Sciences (MAS). This paper also discusses the integration of information resources for the development of SDI. Some original technological solutions are proposed for building SDI in the MAS based on international standards.

关键词： Data visualization

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Research on the resilience of the intelligent integrated energy systems 1

Research on the resilience of the intelligent integrated ene...

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1st International Workshop on Information, Computation, and control systems for Distributed Environments, ICCS-DE 2019

作者： Barakhtenko, E.A. Sokolov, D.V. Edelev, A.V. Gorsky, S.A. Melentiev Energy Systems Institute of Siberian Branch of SB RAS Lermontov St. 130 Irkutsk664033 Russia Matrosov Institute for System Dynamics and Control Theory of SB RAS Lermontov St. 134 Irkutsk664033 Russia

The paper addresses the research of intelligent integrated energy systems resilience that is the system ability to withstand large disturbances and prevent their cascade development with massive energy shortage. The scheme of intelligent integrated energy systems resilience research is presented in the paper. It involves the disturbance scenarios formation, the evaluation of consequences of disturbance impact on energy systems, the assessment of the effectiveness and feasibility of the resilience enhancement steps. The scheme helps an expert to select specific resilience enhancement steps and to make decision whenever to implement them. Copyright © 2019 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

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On First Integrals and Invariant Manifolds in the Generalized Problem of the Motion of a Rigid Body in a Magnetic Field 1

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23rd International Workshop on Computer Algebra in Scientific Computing, CASC 2021

作者： Irtegov, Valentin Titorenko, Tatiana Institute for System Dynamics and Control Theory SB RAS 134 Lermontov str. Irkutsk664033 Russia

ISBN: (数字)9783030851651

ISBN: (纸本)9783030851644

Differential equations describing the motion of a rigid body with a fixed point under the influence of both a magnetic field generated by the Barnett–London effect and potential forces are analyzed. We seek first integrals and invariant manifolds of the equations in the form of polynomials of the second, third, and fourth degrees and conduct the qualitative analysis of the equations in the found particular cases of the existence of additional integrals. Special solutions are found from the necessary extremum conditions of the integrals and their Lyapunov stability is investigated. Computer algebra methods such as the reduction of a polynomial with respect to a list of polynomials, the Gröbner basis method, etc. are used to obtain the integrals and manifolds and to analyze the equations. © 2021, Springer Nature Switzerland AG.

关键词： Polynomials

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Workbench for vulnerability analysis of Vietnam energy sector 3

Workbench for vulnerability analysis of Vietnam energy secto...

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3rd Scientific-Practical Workshop Information Technologies: Algorithms, Models, systems, ITAMS 2020

作者： Edelev, A.V. Fereferov, E.S. Hmelnov, A.E. Melentiev Energy Systems Institute of Siberian Branch of SB RAS Lermontov Str. 130 Irkutsk664033 Russia Matrosov Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov St. Irkutsk664033 Russia

The paper addresses the problem of supporting research of the Vietnam energy sector vulnerability. The vulnerability study is understood as search for system weak points. A mathematical model has been developed to describe the energy sector of Vietnam. The model takes into account the characteristics and constraints of all objects of the energy sector: suppliers, consumers and the transport system. To study the vulnerability of the energy sector and make decisions, we have created a workbench that allows simulating increased loads and calculating the consequences. Specification-based database application development technology was applied to create the workbench. This technology allows you to quickly develop applications that provide interaction with databases and digital maps, as well as support interaction with external software modules. The main advantage of the proposed workbench is its flexibility and applicability at all stages of the study of the Vietnam energy sector vulnerability starting from gathering the energy operation and development information and ending with evaluation of satisfying demand in energy. © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Decision support systems

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D.C. Constrained Optimization Approach for Solving Metal Recovery Processing Problem 19th

D.C. Constrained Optimization Approach for Solving Metal Rec...

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19th International Conference on Mathematical Optimization theory and Operations Research, MOTOR 2020

作者： Enkhbat, Rentsen Gruzdeva, Tatiana V. Enkhbayr, Jamsranjav Institute of Mathematics and Digital Technology Mongolian Academy of Sciences Ulaanbaatar Mongolia Matrosov Institute for System Dynamics and Control Theory of SB of RAS Irkutsk Russia National University of Mongolia Ulaanbaatar Mongolia

ISBN: (纸本)9783030499877

This paper was motivated by an industrial optimization problem arisen at the Erdenet Mining Corporation (Mongolia). The problem involved real industrial data turned out to be a quadratically constrained quadratic programming problem, which we solve by applying the global search theory for general DC programming. According to the theory, first, we obtain an explicit DC representation of the nonconvex functions involved in the problem. Second, we perform a local search that takes into account the structure of the problem in question. Further, we construct procedures for escaping critical points provided by the local search method. In particular, we propose a new way of constructing an approximation of the level set based on conjugated vectors. The computational simulation demonstrates that the proposed method is a quite flexible tool which can fast provide operations staff with good solutions to achieve the best performance according to specific requirements. © 2020, Springer Nature Switzerland AG.

关键词： Quadratic programming

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A software platform to support the energy system resilience study 2

A software platform to support the energy system resilience ...

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2nd International Workshop on Information, Computation, and control systems for Distributed Environments, ICCS-DE 2020

作者： Edelev, A.V. Fereferov, E.S. Melentiev Energy Systems Institute of Siberian Branch of SB RAS Lermontov Str. 130 Irkutsk664033 Russia Matrosov Institute for System Dynamics and Control Theory of SB RAS Lermontov Str. 134 Irkutsk664033 Russia

The paper addresses the problem of supporting research of the energy systems resilience. The resilience is concerned with the energy system ability to withstand large disturbances. To reach the goal of creating user-friendly software for decision making support in that field, a software platform is considered. It includes some original frameworks for retrieving, gathering, querying and analysing data, and building thematic maps to produce disturbance scenarios and evaluate consequences of their impact. The main advantage of the proposed platform is its applicability for all the stages of the energy system resilience research starting from risk mitigation assessment and ending with comparing alternative recovering or reconstruction strategies. Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Decision making

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On an exact solution to the nonlinear heat equation with a source

On an exact solution to the nonlinear heat equation with a s...

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2020 Dynamic systems and Computer Science: theory and Applications, DYSC 2020

作者： Kazakov, A.L. Lempert, A.A. Spevak, L.F. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov Str. Irkutsk664033 Russia Institute of Engineering Science UB RAS 34 Komsomolskaya str. Ekaterinburg620049 Russia

The paper is devoted to the study of a singular nonlinear second-order parabolic equation, which is called the porous medium equation or the nonlinear heat equation. One of the important classes of its solutions is heat waves propagating over a zero background with a finite velocity. This property is not typical for parabolic equations and is a consequence of singularity. The main object of study is exact solutions of mentioned type. A new way of separating variables is used to represent them. We obtain conditions when it is possible to make a reduction to the Cauchy problem for an ordinary second-order differential equation with a singularity. It is shown that the Cauchy problemdescribes a heat wave whose front moves exponentially. We construct a solution to the Cauchy problem as a power series and determine the cases when the series breaks off, i.e. the solution has the form of a polynomial, and the corresponding heat wave can be written explicitly. If the Cauchy problem cannot be explicitly integrated, the solution is constructed numerically. An algorithm based on the boundary element method is proposed. We perform a computational experiment and conclude the properties of the found solutions. Besides, the accuracy of the calculation results is analyzed. © Published under licence by IOP Publishing Ltd.

关键词： Polynomials

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