Prof. Stephen SMALE (史梅爾)

Research Output

  1. 2013
  2. Differential Equations, Dynamical Systems, and an Introduction to Chaos

    Hirsch, M. W., Smale, S. & Devaney, R. L., 2013, Third ed. Elsevier Inc.

    Research output: Scholarly Books, Monographs, Reports and Case StudiesRGC 11 - Research book or monograph (Author)peer-review

    Scopus citations: 295
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  3. 2011
  4. A topological view of unsupervised learning from noisy data

    Niyogi, P., Smale, S. & Weinberger, S., 2011, In: SIAM Journal on Computing. 40, 3, p. 646-663

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 91
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  5. 2008
  6. Finding the homology of submanifolds with high confidence from random samples

    Niyogi, P., Smale, S. & Weinberger, S., Mar 2008, In: Discrete and Computational Geometry. 39, 1-3, p. 419-441

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 347
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  7. 2007
  8. Risk bounds for random regression graphs

    Caponnetto, A. & Smale, S., Nov 2007, In: Foundations of Computational Mathematics. 7, 4, p. 495-528

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 5
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  9. 2006
  10. Online learning algorithms

    Smale, S. & Yao, Y., Jun 2006, In: Foundations of Computational Mathematics. 6, 2, p. 145-170

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 102
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  11. Data and learning

    Smale, S., 2006, 2006 IEEE International Conference on Granular Computing. 1635747

    Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

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  12. 2005
  13. The mathematics of learning: Dealing with data

    Poggio, T. & Smale, S., Oct 2005, Proceedings - 2005 International Conference on Neural Networks and Brain (ICNN&B'05). IEEE, p. PL-5-PL-23 1614546

    Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

    Scopus citations: 7
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  14. 1994
  15. Complexity of Bezout's theorem V: polynomial time

    Shub, M. & Smale, S., 10 Oct 1994, In: Theoretical Computer Science. 133, 1, p. 141-164

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 101
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  16. Separation of complexity classes in Koiran's weak model

    Cucker, F., Shub, M. & Smale, S., 10 Oct 1994, In: Theoretical Computer Science. 133, 1, p. 3-14

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 28
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  17. 1993
  18. Complexity of Bezout′s Theorem. III. Condition Number and Packing

    Shub, M. & Smale, S., Mar 1993, In: Journal of Complexity. 9, 1, p. 4-14

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 122
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  19. 1991
  20. Dynamics retrospective: great problems, attempts that failed

    Smale, S., Aug 1991, In: Physica D: Nonlinear Phenomena. 51, 1-3, p. 267-273

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 60
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  21. 1990
  22. Some remarks on the foundation of numerical analysis

    Smale, S., Jun 1990, In: SIAM Review. 32, 2, p. 211-220

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 44
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  23. The story of the higher dimensional poincaré conjecture (what actually happened on the beaches of rio)

    Smale, S., Mar 1990, In: The Mathematical Intelligencer. 12, 2, p. 44-51

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 5
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  24. 1988
  25. On a theory of computation over the real numbers; NP completeness, recursive functions and universal machines

    Blum, L., Shub, M. & Smale, S., 1988, Annual Symposium on Foundations of Computer Science (Proceedings). Publ by IEEE, p. 387-397

    Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

    Scopus citations: 18
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  26. 1987
  27. On the topology of algorithms, I

    Smale, S., Jun 1987, In: Journal of Complexity. 3, 2, p. 81-89

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 96
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  28. 1986
  29. On the existence of generally convergent algorithms

    Shub, M. & Smale, S., Mar 1986, In: Journal of Complexity. 2, 1, p. 2-11

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 15
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  30. COMPUTATIONAL COMPLEXITY: ON THE GEOMETRY OF POLYNOMIALS AND A THEORY OF COST: II.

    Shub, M. & Smale, S., Feb 1986, In: SIAM Journal on Computing. 15, 1, p. 145-161

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 52
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  31. 1984
  32. On the steps of Moscow University

    Smale, S., Jun 1984, In: The Mathematical Intelligencer. 6, 2, p. 21-27

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 6
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  33. 1983
  34. On the average number of steps of the simplex method of linear programming

    Smale, S., Oct 1983, In: Mathematical Programming. 27, 3, p. 241-262

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 132
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  35. 1981
  36. Chapter 8 Global analysis and economics

    Smale, S., 1981, In: Handbook of Mathematical Economics. 1, C, p. 331-370

    Research output: Journal Publications and ReviewsRGC 62 - Review of books or of software (or similar publications/items)peer-review

    Scopus citations: 33
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