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9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi, NUMGRID 2018

作者： Lotov, Alexander V. Ryabikov, Andrey I. Dorodnicyn Computing Center of FRC Computer Science and Control RAS Moscow Russia

ISBN: (纸本)9783030234355

The paper is devoted to approximating the multi-dimensional Edgeworth-Pareto Hull, which is a tool for decision support in multi-objective optimization problems. The notion of the Edgeworth-Pareto Hull is introduced. It is demonstrated how the effective hull of a non-convex multi-dimensional set given by a mapping can be approximated by the product (intersection) of a finite number of Edgeworth-Pareto Hulls. Then, a new numerical technique for approximating the non-convex EPH for complicated problems is proposed and its properties are discussed. © Springer Nature Switzerland AG 2019.

关键词： Multiobjective optimization

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Finding Frequent Elements for a Product of Partial Orders and Association Rules

Finding Frequent Elements for a Product of Partial Orders an...

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Information Technology and Nanotechnology (ITNT), International Conference on

作者： Igor Genrikhov Elena Djukova LLC "Mobail Park IT" Himki Russia FRC "Computer Science and Control" of RAS Moscow Russia

ISBN: (数字)9781728170411

ISBN: (纸本)9781728170428

A known method for finding frequent sets of attributes in the search for association rules in a binary database is based on constructing an FP-tree (Frequent Pattern Growth Tree). In the case of nonbinary data, the values of each nonbinary attribute are usually binarized using a numerical threshold, and the problem is reduced to constructing the classical FP-tree. The result significantly depends on the choice of thresholds. In this paper, it is proposed to modify the structure of the classical FP-tree by introducing an additional vertex for each nonbinary attribute; this vertex is called full, and it contains information about possible variants of binarization of this attribute values. The proposed model of the FP-tree is called full FP-tree. The application of the full FP-tree for the analysis of nonbinary data under the condition that partial orders on the attribute values are specified. Illustrative and generated examples are discussed.

关键词： Databases Information technology Nanotechnology

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Determining Soil Parameters

Determining Soil Parameters

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Ivannikov Memorial Workshop (IVMEM)

作者： Sergey Zasukhin Elena Zasukhina Moscow Institute of Physics and Technology Dolgoprudny Russia FRC “Computer Science and Control” of RAS Moscow Russia

ISBN: (数字)9781728190884

ISBN: (纸本)9781728190891

The problem of determining soil parameters is considered. Their exact knowledge is of great importance for planning and managing water systems, assessing the possible size of catastrophic floods, etc. These parameters are proposed to be found by solving some optimal control problem, where the controlled process is described by the Richards equation. The objective function is mean-square deviation of the observed soil moisture values from its simulated values, which are obtained from the solution of the Richards equation with the selected parameters values. Numerical optimization is performed using Newton method. Derivatives of the objective function are calculated using fast automatic differentiation techniques.

关键词： Soil moisture Process control Optimal control Linear programming Planning Mathematical model Optimization

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Optimization of development strategies for group of gas fields 12

Optimization of development strategies for group of gas fiel...

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12th International Conference "Management of Large-Scale System Development", MLSD 2019

作者： Solomatin, A.N. FRC CSC RAS Federal Research Center "computer Science and Control Russian Academy of Sciences Moscow Russia

We consider the mathematical apparatus and software tools that ensure the formation of the best strategies for the development of a group of gas fields based on the joint use of simulation modeling, grid methods, disc... 详细信息

ISBN: (纸本)9781728117300

关键词： computer aided software engineering

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Primal-dual newton’s method with steepest descent for linear programming 9th

Primal-dual newton’s method with steepest descent for linea...

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9th International Conference on Optimization and Applications, OPTIMA 2018

作者： Zhadan, Vitaly Dorodnicyn Computing Centre FRC "Computer Science and Control" of RAS Vaviliva st. 40 Moscow119333 Russia

ISBN: (纸本)9783030109332

The primal-dual method for solving linear programming problems is considered. In order to determine the search directions the non-perturbed system of optimality conditions is solved by Newton’s method. If this system is degenerate, then an auxiliary linear complementarity problem is solved for obtained unique directions. Starting points and all consequent points are feasible. The step-lengths are chosen from the steepest descent approach based on minimization of the dual gap. The safety factor is not introduced, and trajectories are allowed to move along the boundaries of the feasible sets. The convergence of the method at a finite number of iterations is proved. © Springer Nature Switzerland AG 2019.

关键词： Linear programming

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Symbolic Padé representation of stabilizing regulators for a class of nonlinear control systems with a parameter

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Procedia computer science 2021年 186卷 154-160页

作者： Yulia Danik Mikhail Dmitriev Federal Research Center "Computer Science and Control" of Russian Academy of Sciences (FRC CSC RAS) pr. 60-letiya Oktyabrya 9 Moscow 117312 Russia National Research University Moscow Institute of Physics and Technology (MIPT) 9 Institutskiy per. 141701 Moscow Region Dolgoprudny Russia

An approach for the construction of a parametric set of stabilizing controls for a class of pseudo-linear control systems with a parameter that varies on a certain interval of the positive semi-axis is described. The algorithm is based on a combination of the State-dependent Riccati equation approach (SDRE) for feedback control design, matrix Padé approximations and intellectual choice theory. Firstly, asymptotic expansions for the solutions of certain matrix algebraic state-dependent Riccati equations in the vicinity of the boundary points of the interval of the parameter variation are constructed. The obtained asymptotic expansions are matched into one symbolic construction using two-point diagonal Padé approximations and as a result a parametric set of solutions for the entire domain of parameter variation is obtained. The resulting controllers have the form of the Kalman regulators and can be used for systems with different control gains coefficients. The symbolic and parametric representation of the regulators allows to increase the efficiency of calculations and to propose algorithms for the intellectual selection of the parameters taking into account the changes in the characteristics of motion in real time.

关键词： SDRE Padé approximations intellectual choice theory stabilizing controls small parameter asymptotic approximations

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Modeling the stratospheric aerosol sources optimal space distribution for climate stabilization

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AIP Conference Proceedings 2023年第1期2872卷

作者： Valeriy Parkhomenko Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences (FRC CSC RAS) Moscow 119333 Russia Bauman Moscow State Technical University. Baumanskaya 2-ya str 5/1 105005 Moscow Russia

Global climate changes are observed in recent decades. Some aspects of the global climate stabilization problem at a current level by means geoengineering methods are investigated here. The study is based on a three-dimensional hydrodynamic global climate coupled model, including ocean model with real depths and continents configuration, sea ice evolution model and atmospheric general circulation model. Aerosol concentration from the 2010 up to 2100 year is calculated as a controlling parameter to stabilize mean year surface air temperature. It is analyzed possibility to get prescribed space and time global distribution of the stratosphere aerosol when exist limited number of artificial aerosol sources. Wind transport and deposition of aerosol are taken into account.

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Correction of an admissible control in a nonlinear perturbed problem with fixed ends

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Procedia computer science 2021年 186卷 331-336页

作者： Yu.S. Belinskaya M.G. Dmitriev D.A. Makarov Federal Research Center ”Computer Science and Control” of Russian Academy of Sciences (FRC CSC RAS) pr. 60-letiya Oktyabrya 9 117312 Moscow Russia Bauman Moscow State Technical University (BMSTU) 2nd Baumanskaya str. 5 105005 Moscow Russia Moscow Institute of Physics and Technology (MIPT) Institutskiy per. 9 141701 Dolgoprudny Moscow Russia

A solution of a nonlinear perturbed unconstrained point-to-point control problem, in which the unperturbed system is differentially flat, is considered in the paper. An admissible open-loop control in it is constructed using the covering method. The main part of the obtained admissible control correction in the limit problem is found by expanding perturbed problem solution in series in terms of the perturbation parameter. The first term of the expansion is determined by A.N. Tikhonov’s regularization of Fredholm integral equation of the first kind. As shown by numerical experiments, the found structure of an admissible control allows one to find the final form of high precision point-to-point control based on the solution of an auxiliary variational problem in its neighborhood.

关键词： nonlinear terminal control problem perturbation method flat system covering method Tikhonov’s regularization Fredholm integral equations

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Probabilistic Models of Psychological Aspects in computer–based Social Interactions

Probabilistic Models of Psychological Aspects in Computer–b...

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International Workshop on Engineering Technologies and computer science (EnT)

作者： Shlomi Dolev Sergey Frenkel Julie Cwikel Victor Zakharov Ben-Gurion University of the Negev Beer-Sheva Israel FRC “Computer Science and Control” RAS Moscow Russia Ben-Gurion University of the Negev Faculty of Humanities and Social Sciences Beer-Sheva Israel

ISBN: (数字)9781728180908

ISBN: (纸本)9781728180915

The subject of the paper is the study of how to mathematically represent the phenomenon of the emergence of psychological and social situations in the process of interaction with various virtual objects, with an emphasis on the dangers that may arise in this interaction. These situations are considered in terms of emotions displayed by members of a social network, which, along with people interacting with computer interfaces, can also include avatars or *** argue that Markov chains, which are widely used for tasks of analyzing the optimization of social interaction (including such as interaction with humans and reactions of programs that support web navigation, interaction between humans and bots or between bots), do not reflect some aspects for which it is necessary to use such characteristics (concepts) as “speed” and “time”. More suitable are CTMC based models. A stochastic automaton network (SAN) is proposed as a high-level tool for representing the psychological interaction models described by CTMC.

关键词： Mathematical model Markov processes Mood Hidden Markov models Computational modeling Social network services

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Improvement of the Quasi Delay-Insensitive Pipeline Noise Immunity

Improvement of the Quasi Delay-Insensitive Pipeline Noise Im...

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IEEE International Conference on Dependable Systems, Services and Technologies (DESSERT)

作者： Yuri Stepchenkov Yuri Rogdestvenski Anton Kamenskih Yuri Diachenko Denis Diachenko Institute of Informatics Problems Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences (IPI FRC CSC RAS) Moscow Russian Federation Perm National Research Polytechnic University Perm Russian Federation

ISBN: (数字)9781728199573

ISBN: (纸本)9781728199580

the paper examines the immunity of Quasi Delay-Insensitive (QDI) circuits to soft errors caused by noises. The considered noise sources are internal and external events: layout wires crosstalk, interference on the power and ground buses, electromagnetic pulse. The paper suggests using the failsafe QDI circuits discipline and layout methods that reduce dual-rail signal sensitivity to noises. Indication of dual-rail signal forbidden state as a spacer increases QDI circuits immunity to soft errors. Using a modified C-element to implement a pipeline stage register bit reduces the danger of the pipeline deadlock. It improves the immunity of the QDI pipeline to the noise soft errors by 11% (up to 97.8%).

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