Prof. Stephen SMALE (史梅爾)

Research Output

  1. 2006
  2. 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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  3. 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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  4. 2005
  5. Published

    Shannon sampling II: Connections to learning theory

    Smale, S. & Zhou, D., Nov 2005, In: Applied and Computational Harmonic Analysis. 19, 3, p. 285-302

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

    Scopus citations: 151
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  6. 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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  7. 2004
  8. Published

    Modeling language evolution

    Cucker, F., Smale, S. & Zhou, D., Aug 2004, In: Foundations of Computational Mathematics. 4, 3, p. 315-343

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

    Scopus citations: 58
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  9. Published

    Shannon sampling and function reconstruction from point values

    Smale, S. & Zhou, D., Jul 2004, In: Bulletin of the American Mathematical Society. 41, 3, p. 279-305

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

    Scopus citations: 192
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  10. 2002
  11. Published

    Best Choices for Regularization Parameters in Learning Theory: On the Bias-Variance Problem

    Cucker, F. & Smale, S., Nov 2002, In: Foundations of Computational Mathematics. 2, 4, p. 413-428

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

    Scopus citations: 206
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  12. Published

    On the mathematical foundations of learning

    Cucker, F. & Smale, S., Jan 2002, In: Bulletin of the American Mathematical Society. 39, 1, p. 1-49

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

    Scopus citations: 1068
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  13. 1999
  14. Published

    A polynomial time algorithm for diophantine equations in one variable

    Cucker, F., Koiran, P. & Smale, S., Jan 1999, In: Journal of Symbolic Computation. 27, 1, p. 21-29

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

    Scopus citations: 29
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  15. Published

    Complexity Estimates Depending on Condition and Round-Off Error

    CUCKER, F. & SMALE, S., Jan 1999, In: Journal of the ACM. 46, 1, p. 113-184

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

    Scopus citations: 43
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  16. 1998
  17. Published

    Some lower bounds for the complexity of continuation methods

    Dedieu, J. & Smale, S., Dec 1998, In: Journal of Complexity. 14, 4, p. 454-465

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

    Scopus citations: 5
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  18. Published

    Complexity Estimates Depending on Condition and Round-Off Error

    Cucker, F. & Smale, S., Aug 1998, Algorithms, ESA 1998: 6th Annual European Symposium, Proceedings. Bilardi, G., Italiano, G. F., Pietracaprina, A. & Pucci, G. (eds.). Springer Verlag, p. 115-126 (Lecture Notes in Computer Science; vol. 1461).

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

    Scopus citations: 2
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  19. Published

    Mathematical problems for the next century

    Smale, S., Mar 1998, In: Mathematical Intelligencer. 20, 2, p. 7-15

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

    Scopus citations: 686
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  20. 1996
  21. Published

    Complexity of Bezout's theorem IV: Probability of success; extensions

    Shub, M. & Smale, S., Feb 1996, In: SIAM Journal on Numerical Analysis. 33, 1, p. 128-148

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

    Scopus citations: 111
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  22. Published

    Complexity and real computation: A manifesto

    Blum, L., Cucker, F., Shub, M. & Smale, S., Jan 1996, In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6, 1, p. 3-26

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

    Scopus citations: 26
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  23. 1994
  24. 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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  25. 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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  26. 1993
  27. 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: 123
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  28. 1991
  29. 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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  30. 1990
  31. 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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