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Stochastic approximation : a dynamical systems viewpoint / Vivek S. Borkar.

By: Material type: TextTextPublication details: Cambridge : Cambridge University Press ; New Delhi : Hindustan Book Agency, 2008.Description: ix, 164 p. ; 24 cmISBN:
  • 9780521515924 (hbk.)
Subject(s): DDC classification:
  • 519.23 23 B734
Contents:
1. Introduction -- 2. Basic convergence analysis -- 3. Stability criteria -- 4. Lock-in probability -- 5. Stochastic recursive inclusions -- 6. Multiple timescales -- 7. Asynchronous schemes -- 8. A limit theorem for fluctuations -- 9. Constant stepsize algorithms -- 10. Applications -- 11. Appendices -- References -- Index.
Summary: This is a simple, compact toolkit for designing and analyzing algorithms, with concrete examples from control and communications engineering, artificial intelligence, economic modelling.
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Includes bibliographical references (p. 156-162) and index.

1. Introduction --
2. Basic convergence analysis --
3. Stability criteria --
4. Lock-in probability --
5. Stochastic recursive inclusions --
6. Multiple timescales --
7. Asynchronous schemes --
8. A limit theorem for fluctuations --
9. Constant stepsize algorithms --
10. Applications --
11. Appendices --
References --
Index.

This is a simple, compact toolkit for designing and analyzing algorithms, with concrete examples from control and communications engineering, artificial intelligence, economic modelling.

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