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Khmelnitskiy, Ukraine

Romanuke V.V.,Khmelnitskiy National University
Journal of Automation and Information Sciences | Year: 2013

A procedure of practical implementation of the optimality principle in matrix games with empty set of saddle points in pure strategies, where finite number of plays is in advance known, is under consideration. Convergence of this procedure is proved, and estimate of average win or loss of player, participating in it, is shown. © 2013 by Begell House Inc.

Romanuke V.,Khmelnitskiy National University
Journal of Information and Organizational Sciences | Year: 2015

A method of constructing boosting ensembles of heavy two-layer perceptrons is stated. The benchmark classification problem is recognition of shifted-tumed-scaled flat images of a medium format with binary features. The boosting gain is suggested in two aspects. The earliest one is the ratio of minimal recognition error percentage among the ensemble perceptrons to the recognition error percentage performed by the ensemble. The second gain type is the ratio of minimal variance of perceptrons’ recognition error percentages over 26 classes to variance of the ensemble’s recognition error percentages over 26 classes. Both ratios increase as the number of perceptron classifiers in the ensemble increase. The ensemble of 36 classifiers performs with increased accuracy, where recognition error percentage is decreased for 33 %, and the variance is decreased for more than 50 %. Further increment of classifiers into ensemble cannot increase accuracy much as there is the saturation effect of the boosting gain. And the gain itself depends on the range of noise modeling object’s distortions. Thus, the heavier perceptron classifier the less gain is expected. © 2014, University of Zagreb. All rights reserved.

There is suggested a method of approximating unit-hypercubic infinite antagonistic game with the matrix game and the corresponding solution in finite strategies. The method is based on dimension-dependent irregular samplings over the game kernel. Numbers of the sampling points and their coordinates are chosen due to the stated conditions. If the sampled kernel is not the flat matrix then the multidimensional payoff matrix is reshaped into the flat one wherewith to solve the matrix game. The reshaping is a reversible matrix map. The concluding step of the approximation is in checking the finite solution consistency. Consistency can be weakened, and consistency can be checked at some rank corresponding to a natural number. The higher rank of the finite solution consistency is, the wider neighborhood of the sampling numbers at which the solution properties are monotonic-like. © 2014, University of Zagreb. All rights reserved.

A method is suggested for the uniform sampling of fundamental simplexes as the sets of players' mixed strategies in the finite noncooperative game for its approximate solution. This solution is treated in the sense of equilibrium situations with possible concessions as Nash equilibrium situations are not necessarily to be on a finite simplex lattice. The sampling conditions assume that by changing minimally a situation over nodes of the lattice the players' payoff varies no greater than within its constant value. Building a simplex lattice of the player's mixed strategies set is fulfilled by a cyclic descent from the first pure strategy down to the last one. Retrieval of concession-equilibrium situations can be sped up by parallelizing of arrays multiplication when calculating the expected payoffs. © 2015 by Begell House Inc.

Bogorosh A.,Kharkiv Polytechnic Institute | Visniakov N.,Vilnius Gediminas Technical University | Novickij J.,Vilnius Gediminas Technical University | Bubulis A.,Kaunas Technological University | Roizman V.,Khmelnitskiy National University
Journal of Vibroengineering | Year: 2013

Dislocation avalanches and strain bursts in the boards of radio-engineering equipment were investigated. For that purpose a cascade of navigation devices boards was installed on the vibration stand and experiments were performed in the 0.5-10 Hz vibration range at 0 - +45 °C temperature. Amplitude method was applied to determine the coordinates of localized sources of acoustic emission and research of mechanical stress in local points of material was performed using axial compression tests on tensile machine. The results indicate the initial increase in tension and relative deformation and further their decrement. The acquired experimental data on acoustic emission reflect the formation of microcracks and the instability of mechanical tension, its avalanche and explosive tendency in the material when the micro volumes of material are torn.

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