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Article

Title: Optimal learning systems (English)
Title: Optimální učící se systémy (Czech)
Author: Pugachev, V. S.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 7
Issue: 5
Year: 1971
Pages: (347)-376
Summary lang: Czech
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Category: math
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MSC: 68T05
MSC: 68T15
MSC: 92A25
MSC: 93C40
idZBL: Zbl 0268.68037
idMR: MR0297414
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Date available: 2009-09-24T16:20:07Z
Last updated: 2012-06-04
Stable URL: http://hdl.handle.net/10338.dmlcz/125145
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Reference: [1] Pugachev V. S.: Statistical Problems of Pattern Recognition Theory.The Third All-Union Conferenc on Automatic Control. Odessa, 1965.
Reference: [2] Pugachev V. S.: A Bayes Approach to the Theory of Learning Systems.The Third Congress of IFAC, London, 20-25 June, 1966. MR 0383860
Reference: [3] Pugachev V. S.: Optimal Algorithms of Learning of Automatic Systems in the Case of a Non-Ideal Teacher.Doklady Akademii Nauk SSSR 172 (1967), 5, 1039-1042 (in Russian).
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Reference: [5] Špaček A.: An Elementary Experience Problem.Transactions of the Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 253-258. MR 0106533
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Reference: [10] Driml M., Hanš O.: On Experience Theory Problems.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 93-111. MR 0142189
Reference: [11] Driml M., Hanš O.: Continuous Stochastic Approximations.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 113-122. MR 0130702
Reference: [12] Driml M., Nedoma J.: Stochastic Approximations for Continuous Random Processes.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 145-158. MR 0126877
Reference: [13] Hanš O., Špaček A.: Random Fixed Point Approximation by Differentiable Trajectories.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 203-213. MR 0124084
Reference: [14] Šefl O.: Filters and Predictors which Adapt Their Values to the Unknown Parameters of the Input Process.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 597-608. MR 0134391
Reference: [15] Fabian V.: A Stochastic Approximation Method for Finding Optimal Conditions in Experimental Work and in Self-Adaptive Systems.Aplikace matematiky 6 (1961), 162-183 (in Czech). MR 0131896
Reference: [16] Fabian V.: A Block-scheme of an Automatic Optimizer.Aplikace matematiky 7 (1962), 426-440 (in Czech).
Reference: [17] Fabian V.: A New One-dimensional Stochastic Approximation Method for Finding a Local Minimum of a Function.Transactions of the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1962). Prague 1964, 85-105. MR 0169317
Reference: [18] Šefl O.: Some Problems of Automatic Control Processes with Unknown Characteristics.Transactions of the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1962). Prague 1964, 611-620 (in Russian). MR 0166898
Reference: [19] Gardner L. A.: Adaptive Predictors.Transactions of the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1962). Prague 1964, 123-192. MR 0166896
Reference: [20] Pugachev V. S.: Method of Determining the Optimum System with a Non-linear Dependence of the Observed Function of the Parameters of Signal.Automatic and Remote Control. Proceedings of the First Congress of IFAC (1960). Butterworth, London 1961, 2, 702-705.
Reference: [21] Robbins H.: An Empirical Bayes Approach to Statistics.Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1 (1955), 157-164. MR 0084919
Reference: [22] Robbins H.: An Empirical Bayes Approach to Testing Statistical Hypothesis.Review of the International Statistical Institute 31 (1963), 2, 195-208. MR 0191039
Reference: [23] Robbins H.: An Empircial Bayes Approach to Problems of Statistical Decision Theory.Annals of Math. Statistics 35 (1964), 1, 1-20. MR 0163407
Reference: [24] Johns H. V.: Non-parametric Empircial Bayes Procedures.Annals of Math. Statistics 28 (1957), 649-669. MR 0096340
Reference: [25] Johns H. V.: An Empirical Bayes Approach to Non-parametric Two-way Classification.Studies in Item Analysis and Prediction (edited by H. Solomon). Stanford University Press, 1961, 221-232. Zbl 0106.13001, MR 0121921
Reference: [26] Cooper D. V.: Adaptive Pattern Recognition and Signal Detection Using Stochastic Approximation.IEEE Transactions on Electronic Computers EC-13 (1964), 3, 306-307.
Reference: [27] Tsypkin Ya. Z.: Adaptation, Lerning and Self-learning in Automatic Systems.Avtomatika i Telemekhanika 27 (1966), 1, 23-61 (in Russian). MR 0197210
Reference: [28] Shaikin M. E.: A Bayes Approach to Self-adapting Filters Using a Finite Number of Teaching Samples.The Third All-Union Conference on Automatic Control. Odessa, 1965.
Reference: [29] Aizerman M. A., Braverman E. M., Rozonoer L. I.: Theoretical Foundations of Potential Functions Method in the Problem of Teaching Automata to Classify Input Situations.Avtomatika i Telemekhanika 25 (1964), 6, 917-936 (in Russian). MR 0172768
Reference: [30] Pugachev V. S.: Theory of Random Functions and its Application to Control Problems.Pergamon Press, 1965 (English translation of Russian book: B. C. Пугачев: Теория случайных фунций и ее применение к задачам автоматического управления. Физматгиз, 1957, 1960, 1962). MR 0177829
Reference: [31] Shepp L. A.: Radon-Nikodym Derivatives of Gaussian Measures.Annals of Math. Statistics 37 (1966), 2, 321-354. Zbl 0142.13901, MR 0190999
Reference: [32] Rozanov Yu. A.: On the Density of Gaussian Distributions and Wiener - Hopf Integral Equations.Teoria Veroyatnostei i ee Primeneniya 11 (1966), 1, 170-179 (in Russian). MR 0195140
Reference: [33] Pugachev V. S.: Methods for Solving Sets of Integral Equations Occuring in Problems of Optimization of Multidimensional Systems.Proceedings of the Sixth All-Union Conference on Probability Theory and Mathematical Statistics (1960). Vilnius 1962, 233-237 (in Russian).
Reference: [34] Sysoev L. P.: Estimates of Parameters of Signals Modulated by Random Processes.Avtomatika i Telemekhanika 26 (1965), 10, 1255-1261 (in Russian).
Reference: [35] Pugachev V. S.: An Effective Method for Finding a Bayes Decision.Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 531-540 (in Russian).
Reference: [36] Pugachev V. S.: A method for Determining Optimum Systems Using General Bayes Criteria.IRE Transactions on Circuit Theory CT-7 (1960), 4, 491-505. MR 0122621
Reference: [37] Pugachev V. S.: A Method for Determining an Optimal System Using a General Bayes Criterion.Izvestia Akademii Nauk SSSR, OTN, Energetika i Avtomatika (1960), 2, 83-97 (in Russian).
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