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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A learning theorem for linear operators
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by Jan Mycielski PDF
Proc. Amer. Math. Soc. 103 (1988), 547-550 Request permission

Abstract:

We prove a convergence theorem in linear dynamic approximation theory which yields estimates of certain series of errors.
References
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  • R. W. Lucky, Automatic equalization for digital communication, Bell System Tech. J. 44 (1965), 547–588. MR 176852, DOI 10.1002/j.1538-7305.1965.tb01678.x
  • —, Techniques for adaptive equalizations for digital communication systems, Bell System Tech. J. 45 (1966), 255-286.
  • Jan Mycielski, Can mathematics explain natural intelligence?, Phys. D 22 (1986), no. 1-3, 366–375. Evolution, games and learning (Los Alamos, N.M., 1985). MR 878172, DOI 10.1016/0167-2789(86)90307-3
  • Jan Mycielski and S. Świerczkowski, A model of the neocortex, Adv. in Appl. Math. 9 (1988), no. 4, 465–480. MR 968679, DOI 10.1016/0196-8858(88)90024-3
  • R. S. Sutton, Learning to predict by the method of temporal differences, Technical Report TR87509.1, GTE Laboratories Inc., Waltham, Mass., 1987. B. Widrow and S. D. Stearns, Adaptive signal processing, Prentice-Hall, Englewood Cliffs, N. J., 1985.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 547-550
  • MSC: Primary 41A99; Secondary 92A09
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0943082-5
  • MathSciNet review: 943082