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«INFORMATICS AND APPLICATIONS»
Scientific journal
Volume 4, Issue 2, 2010
Content | Bibliography | About Authors
Abstract and Keywords.
ON TASK FLOW PLANNING IN COMPUTATIONAL RESOURCE SYSTEMS.
- M.G. Konovalov IPI RAN, mkonovalov@ipiran.ru
Abstract: The problem of flow distribution analysis, optimization, and pricing in shared computational resource systems
is examined. The appropriate literature review is given. An approach to mathematical models construction is
suggested where task flows being described as dynamic balance equations and quality of service relations are used.
The subjects in the systems possess own strategies of behavior and purpose individual aims in terms of cost and
quality of service. Distributed gradient algorithmis one of possible system member strategies. A numerical example
is given and model development and employment for future trends are discussed.
Keywords: computational resource systems; flow distribution; quality of service; cooperative behavior
NONPARAMETRIC ESTIMATION OF BAYESIAN CLASSIFIER ELEMENTS.
- M. Krivenko IPI RAN, mkrivenko@ipiran.ru
Abstract: The problemof constructing an empirical Bayesian classifier, providing recognition of the text, where some symbols
have different picture sizes, is considered. A combined method of constructing an evaluation of Bayesian classifier
is proposed. The method includes nonparametric kernel estimation and parametric estimation with the help of the
density of normal distribution. This combined assessment allows to deal effectively with the task of handling small
amounts of training set. Productivity of the proposed ideas is illustrated by an example of recognizing the real text.
Keywords: Bayesian classifier; combined multivariate density estimation; adaptive kernel estimation; text recognition
SOLVABILITY PROBLEMS IN THE PROTEIN SECONDARY STRUCTURE RECOGNITION.
- K. V. Rudakov Computing Center of RAS;Moscow Institute of Physics and Technology, rudakov@ccas.ru
- I. Yu. Torshin Russian Center of the Trace Element Institute for UNESCO, tiy135@yahoo.com
Abstract: The purpose of the work is to develop a formalism for the application of the algebraic approach to recognition
of the protein secondary structure. Paper presents rigorous formal description of the problem and considers its
solvability, regularity, and locality. Key terms for the analysis of locality, such as a neighborhood, mask, mask system, monotony, and irreducibility of the mask systems were proposed. An algorithm for constructing nonredundant
mask systems was formulated. The formalism has allowed to formulate a correct description of the hypothesis of
the local character of the dependence of the secondary structure on the primary and to obtain constructive criteria
of the solvability of the problem.
Keywords: algebraic approach; the secondary structure of protein; bioinformatics
ASYMPTOTIC PROPERTIES OF RISK ESTIMATE OF WAVELET-VAGUELETTE COEFFICIENTS THRESHOLDING IN TOMOGRAPHIC RECONSTRUCTION PROBLEM.
- A. V.Markin Department ofMathematical Statistics, Faculty of Computational Mathematics and Cybernetics,
M. V. Lomonosov Moscow State University, artem.v.markin@mail.ru
- O. V. Shestakov Department ofMathematical Statistics, Faculty of Computational Mathematics and Cybernetics,
M. V. Lomonosov Moscow State University, oshestakov@cs.msu.su
Abstract: Tomographic image reconstruction problem using wavelet-vaguelette decomposition is considered. Consistency
and asymptotic normality of risk estimate of vaguelette coefficients thresholding are studied.
Keywords: wavelets; tomography; thresholding; risk estimate; limit distribution
ANALYSIS OF A LINK PROTOCOL WITH A GENERAL CONTENTION WINDOW BACKOFF
FUNCTION.
- A. S. Lukyanenko Helsinki Institute for Information Technology HIIT, Aalto, Finland, firstname.secondname@hiit.fi
- E. V.Morozov Institute of Applied Mathematical Research, Karelian Research Centre RAS; Petrozavodsk State University,
emorozov@krc.karelia.ru
- A. Gurtov Helsinki Institute for Information Technology HIIT, Aalto, Finland, gurtov@hiit.fi
Abstract: A set of medium access (backoff) protocols, where the collision resolution window for a station depends on the
number of successive collisions, is analyzed. Under mild common assumptions for the network properties, a general
backoff protocol is studied. An optimal criterion yields a backoff protocol possessing the minimal service time. An
asymptotic analysis is offered for the unboundly growing number of stations. Bounded and unbounded protocols
are considered in the analysis. Finally, a continuous time model is introduced as an extension for the slotted model,
which allows slots of different sizes.
Keywords: data communications; performance analysis; backoff protocol; stability; medium access control
DEVELOPMENT OF PARALLEL HEURISTIC ALGORITHMS OF WEIGHTS COEFFICIENTS SELECTION FOR ARTIFICIAL NEURAL NETWORK.
- O. V. Kryuchin G.R. Derzhavin Tambov State University, kryuchov@gmail.com
Abstract: A gradients alogirithm of artificial neural network and heuristic algoritms QuickProp and RProp which are based
on it are described. Possible applications of cluster systems have been considered.
Keywords: artificial neural network; heuristic algorithms of teaching; cluster systesm
APPLICATION OF THE COORDINATE METHOD OF COMMUTATED NEURAL NETWORK
FRAGMENTATION FOR TRAFFIC REDUCTION.
- S. Y. Stepanov Moscow State Technological Institute STANKIN, cympak shade@rambler.ru
Abstract: The problem of increasing traffic in scaling commutated neural network, amethod and algorithmof its solution are
outlined. An example of the developed algorithm is also presented.
Keywords: commutated neural network; scaling; traffic
ON ASYMPTOTIC BEHAVIOR OF THE POWERS OF THE TESTS FOR THE CASE OF LAPLACE
DISTRIBUTION.
- V. E.Bening Faculty of ComputationalMathematics and Cybernetics, M.V. Lomonosov Moscow State University, bening@yandex.ru
- R.A.Korolev Faculty of ComputationalMathematics and Cybernetics, M.V. Lomonosov Moscow State University, stochastique@gmail.com
Abstract: A formula for the limit of the normalized difference between the power of the asymptotically most powerful test and the power of the asymptotically optimal test for the case of Laplace distribution was proved. Due to the nonregularity of the Laplace distribution, the logarithm of the likelihood ratio admits nonregular stochastic expansion, and an
analog of Cram‚er condition is not valid for the sign statistic which is the basis of the asymptotically optimal test.
Then direct use of theorem 3.2.1 from [1] or theorem 2.1 from [2] is difficult, and in the present paper, their proofs
for the case of Laplace distribution are revisited.
Keywords: power function; conditional probability measure; conditional moment; Laplace distribution
AN IMPROVEMENT OF THE KATZ–BERRY–ESSEEN INEQUALITY.
- M. E. Grigorieva Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics,
M.V. Lomonosov Moscow State University, maria-grigorieva@yandex.su
- I.G. Shevtsova Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics,
M.V. Lomonosov Moscow State University, ishevtsova@cs.msu.su
Abstract: The upper estimates of the absolute constant in the Katz–Berry–Esseen inequality for sums of independent
identically distributed random variables with finite absolute moments of order between 2 and 3 are sharpened and
an alternative inequality with sharpened structure and evaluated constants is proposed.
Keywords: central limit theorem; Katz–Berry–Esseen inequality; Lyapounov fraction
LINGUISTIC FILTERS IN STATISTICAL MACHINE TRANSLATION MODELS.
- E. B. Kozerenko IPI RAN, kozerenko@mail.ru
Abstract: The paper focuses on the problems of linguistic filters development for statistical machine translation and
advancement of parallel texts alignment methods for enhancing precision and adequacy of translations. Statistical
and heuristic models of alignment and translation are considered. The solutions proposed are based on the hybrid
grammar formalism comprising the linguistic rules and probability characteristics of language structures.
Keywords: statistical models; machine translation; parallel texts; alignment; linguistic filters
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