Optimal learning systems

Vladimir Semenovich Pugachev

Kybernetika (1971)

  • Volume: 07, Issue: 5, page (347)-376
  • ISSN: 0023-5954

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Pugachev, Vladimir Semenovich. "Optimal learning systems." Kybernetika 07.5 (1971): (347)-376. <http://eudml.org/doc/28300>.

@article{Pugachev1971,
author = {Pugachev, Vladimir Semenovich},
journal = {Kybernetika},
language = {eng},
number = {5},
pages = {(347)-376},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal learning systems},
url = {http://eudml.org/doc/28300},
volume = {07},
year = {1971},
}

TY - JOUR
AU - Pugachev, Vladimir Semenovich
TI - Optimal learning systems
JO - Kybernetika
PY - 1971
PB - Institute of Information Theory and Automation AS CR
VL - 07
IS - 5
SP - (347)
EP - 376
LA - eng
UR - http://eudml.org/doc/28300
ER -

References

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  2. Pugachev V. S., A Bayes Approach to the Theory of Learning Systems, The Third Congress of IFAC, London, 20-25 June, 1966. (1966) MR0383860
  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). (1967) 
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  6. Driml M., Špaček A., Continuous Random Decision Processes Controlled by Experience, Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 43-60. (1956) MR0101596
  7. Winkelbauer K., Experience in Games of Strategy and in Statistical Decision, Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 297-354. (1956) MR0106534
  8. Hanš O., Random Fixed Point Theorems, Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 105-125. (1956) MR0100907
  9. Prouza L., Bemerkungen zur Lineare Prediktion mittels eines lernenden Filters, Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 37-41. (1956) MR0098430
  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. (1959) MR0142189
  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. (1959) MR0130702
  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. (1959) MR0126877
  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. (1959) MR0124084
  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. (1959) MR0134391
  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). (1961) MR0131896
  16. Fabian V., A Block-scheme of an Automatic Optimizer, Aplikace matematiky 7 (1962), 426-440 (in Czech). (1962) 
  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. (1962) MR0169317
  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). (1962) MR0166898
  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. (1962) MR0166896
  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. (1960) 
  21. Robbins H., An Empirical Bayes Approach to Statistics, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1 (1955), 157-164. (1955) MR0084919
  22. Robbins H., An Empirical Bayes Approach to Testing Statistical Hypothesis, Review of the International Statistical Institute 31 (1963), 2, 195-208. (1963) MR0191039
  23. Robbins H., An Empircial Bayes Approach to Problems of Statistical Decision Theory, Annals of Math. Statistics 35 (1964), 1, 1-20. (1964) MR0163407
  24. Johns H. V., Non-parametric Empircial Bayes Procedures, Annals of Math. Statistics 28 (1957), 649-669. (1957) MR0096340
  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. (1961) Zbl0106.13001MR0121921
  26. Cooper D. V., Adaptive Pattern Recognition and Signal Detection Using Stochastic Approximation, IEEE Transactions on Electronic Computers EC-13 (1964), 3, 306-307. (1964) 
  27. Tsypkin Ya. Z., Adaptation, Lerning and Self-learning in Automatic Systems, Avtomatika i Telemekhanika 27 (1966), 1, 23-61 (in Russian). (1966) MR0197210
  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. (1965) 
  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). (1964) MR0172768
  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). (1965) MR0177829
  31. Shepp L. A., Radon-Nikodym Derivatives of Gaussian Measures, Annals of Math. Statistics 37 (1966), 2, 321-354. (1966) Zbl0142.13901MR0190999
  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). (1966) MR0195140
  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). (1960) 
  34. Sysoev L. P., Estimates of Parameters of Signals Modulated by Random Processes, Avtomatika i Telemekhanika 26 (1965), 10, 1255-1261 (in Russian). (1965) 
  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). (1959) 
  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. (1960) MR0122621
  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). (1960) 

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