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Volumn 10, Issue , 2009, Pages 1705-1736

Learning permutations with exponential weights

Author keywords

Doubly stochastic matrix; Hedge algorithm; On line learning; Permutation; Ranking; Relative entropy projection; Sinkhorn balancing

Indexed keywords

DOUBLY STOCHASTIC MATRIX; HEDGE ALGORITHM; ON-LINE LEARNING; PERMUTATION; RANKING; RELATIVE ENTROPY PROJECTION; SINKHORN BALANCING;

EID: 68949098503     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (96)

References (39)
  • 2
    • 0035370926 scopus 로고    scopus 로고
    • K. Azoury and M. K. Warmuth. Relative loss bounds for on-line density estimation with the exponential family of distributions. Journal of Machine Learning, 43(3):211-246, June 2001. Special issue on Theoretical Advances in On-line Learning, Game Theory and Boosting, edited by Yoram Singer.
    • K. Azoury and M. K. Warmuth. Relative loss bounds for on-line density estimation with the exponential family of distributions. Journal of Machine Learning, 43(3):211-246, June 2001. Special issue on Theoretical Advances in On-line Learning, Game Theory and Boosting, edited by Yoram Singer.
  • 3
    • 14344253794 scopus 로고    scopus 로고
    • Polynomial approximation algorithms for belief matrix maintenance in identity management
    • December
    • H. Balakrishnan, I. Hwang, and C. Tomlin. Polynomial approximation algorithms for belief matrix maintenance in identity management. In 43rd IEEE Conference on Decision and Control, pages 4874-4879, December 2004.
    • (2004) 43rd IEEE Conference on Decision and Control , pp. 4874-4879
    • Balakrishnan, H.1    Hwang, I.2    Tomlin, C.3
  • 6
    • 0942301001 scopus 로고    scopus 로고
    • Static optimality and dynamic search-optimality in lists and trees
    • A. Blum, S. Chawla, and A. Kalai. Static optimality and dynamic search-optimality in lists and trees. Algorithmica, 36:249-260, 2003.
    • (2003) Algorithmica , vol.36 , pp. 249-260
    • Blum, A.1    Chawla, S.2    Kalai, A.3
  • 8
    • 49949144765 scopus 로고
    • The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
    • L. M. Bregman. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Computational Mathematics and Physics, 7:200-217, 1967.
    • (1967) USSR Computational Mathematics and Physics , vol.7 , pp. 200-217
    • Bregman, L.M.1
  • 9
    • 0019587748 scopus 로고
    • An iterative row-action method for interval convex programming
    • July
    • Y. Censor and A. Lent. An iterative row-action method for interval convex programming. Journal of Optimization Theory and Applications, 34(3):321-353, July 1981.
    • (1981) Journal of Optimization Theory and Applications , vol.34 , Issue.3 , pp. 321-353
    • Censor, Y.1    Lent, A.2
  • 15
    • 0031211090 scopus 로고    scopus 로고
    • A decision-theoretic generalization of on-line learning and an application to Boosting
    • August
    • Y. Freund and R. E. Schapire. A decision-theoretic generalization of on-line learning and an application to Boosting. Journal of Computer and System Sciences, 55(1):119-139, August 1997.
    • (1997) Journal of Computer and System Sciences , vol.55 , Issue.1 , pp. 119-139
    • Freund, Y.1    Schapire, R.E.2
  • 16
    • 8344267579 scopus 로고    scopus 로고
    • Quadratic convergence for scaling of matrices
    • SIAM
    • M. Fürer. Quadratic convergence for scaling of matrices. In Proceedings of ALENEX/ANALCO, pages 216-223. SIAM, 2004.
    • (2004) Proceedings of ALENEX/ANALCO , pp. 216-223
    • Fürer, M.1
  • 17
    • 84864055983 scopus 로고    scopus 로고
    • Geoffrey J. Gordon. No-regret algorithms for online convex programs. In Bernhard Schölkopf, John C. Platt, and Thomas Hoffman, editors, NIPS, pages 489-496. MIT Press, 2006.
    • Geoffrey J. Gordon. No-regret algorithms for online convex programs. In Bernhard Schölkopf, John C. Platt, and Thomas Hoffman, editors, NIPS, pages 489-496. MIT Press, 2006.
  • 18
    • 0031122905 scopus 로고    scopus 로고
    • Predicting nearly as well as the best pruning of a decision tree
    • D. P. Helmbold and R. E. Schapire. Predicting nearly as well as the best pruning of a decision tree. Machine Learning, 27(01):51-68, 1997.
    • (1997) Machine Learning , vol.27 , Issue.1 , pp. 51-68
    • Helmbold, D.P.1    Schapire, R.E.2
  • 20
    • 0032137328 scopus 로고
    • Tracking the best expert
    • 151-178, Earlier version in 12th ICML
    • M. Herbster and M. K. Warmuth. Tracking the best expert. Machine Learning, 32(2):151-178, 1998. Earlier version in 12th ICML, 1995.
    • (1995) Machine Learning , vol.32 , Issue.2
    • Herbster, M.1    Warmuth, M.K.2
  • 23
    • 4243139497 scopus 로고    scopus 로고
    • A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
    • July
    • M. Jerrum, A. Sinclair, and E. Vigoda. A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries. Journal of the ACM, 51(4):671-697, July 2004.
    • (2004) Journal of the ACM , vol.51 , Issue.4 , pp. 671-697
    • Jerrum, M.1    Sinclair, A.2    Vigoda, E.3
  • 24
    • 68949138184 scopus 로고    scopus 로고
    • Simulating weighted majority with FPL. Private communication
    • A. Kalai. Simulating weighted majority with FPL. Private communication, 2005.
    • (2005)
    • Kalai, A.1
  • 25
    • 85128136958 scopus 로고    scopus 로고
    • A. Kalai and S. Vempala. Efficient algorithms for online decision problems. J. Comput. Syst. Sci., 71(3):291-307, 2005. Special issue Learning Theory 2003.
    • A. Kalai and S. Vempala. Efficient algorithms for online decision problems. J. Comput. Syst. Sci., 71(3):291-307, 2005. Special issue Learning Theory 2003.
  • 27
    • 0008815681 scopus 로고    scopus 로고
    • Additive versus exponentiated gradient updates for linear prediction
    • January
    • J. Kivinen andM. K.Warmuth. Additive versus exponentiated gradient updates for linear prediction. Information and Computation, 132(1):1-64, January 1997.
    • (1997) Information and Computation , vol.132 , Issue.1 , pp. 1-64
    • Kivinen andM, J.1    Warmuth, K.2
  • 31
    • 34547975563 scopus 로고    scopus 로고
    • Online Kernel PCA with entropic matrix updates
    • Proceedings of the 24rd international conference on Machine learning ICML '07, June
    • D. Kuzmin and M. K. Warmuth. Online Kernel PCA with entropic matrix updates. In Proceedings of the 24rd international conference on Machine learning (ICML '07), pages 465-471. ACM International Conference Proceedings Series, June 2007.
    • (2007) ACM International Conference Proceedings Series , pp. 465-471
    • Kuzmin, D.1    Warmuth, M.K.2
  • 32
    • 0034363964 scopus 로고    scopus 로고
    • A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
    • N. Linial, A. Samorodnitsky, and A. Wigderson. A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents. Combinatorica, 20(4):545-568, 2000.
    • (2000) Combinatorica , vol.20 , Issue.4 , pp. 545-568
    • Linial, N.1    Samorodnitsky, A.2    Wigderson, A.3
  • 33
    • 35148838877 scopus 로고
    • The weighted majority algorithm
    • Preliminary version in FOCS '89
    • N. Littlestone and M. K. Warmuth. The weighted majority algorithm. Inform. Comput., 108(2): 212-261, 1994. Preliminary version in FOCS '89.
    • (1994) Inform. Comput , vol.108 , Issue.2 , pp. 212-261
    • Littlestone, N.1    Warmuth, M.K.2
  • 34
    • 0037399538 scopus 로고    scopus 로고
    • PAC-Bayesian stochastic model selection
    • D. McAllester. PAC-Bayesian stochastic model selection. Machine Learning, 51(1):5-21, 2003.
    • (2003) Machine Learning , vol.51 , Issue.1 , pp. 5-21
    • McAllester, D.1
  • 35
    • 0000142394 scopus 로고
    • A relationship between arbitrary positive matrices and doubly stochastic matrices
    • June
    • R. Sinkhorn. A relationship between arbitrary positive matrices and doubly stochastic matrices. The Annals of Mathematical Staticstics, 35(2):876-879, June 1964.
    • (1964) The Annals of Mathematical Staticstics , vol.35 , Issue.2 , pp. 876-879
    • Sinkhorn, R.1
  • 38
    • 56349165656 scopus 로고    scopus 로고
    • Randomized PCA algorithms with regret bounds that are logarithmic in the dimension
    • M. K. Warmuth and D. Kuzmin. Randomized PCA algorithms with regret bounds that are logarithmic in the dimension. Journal of Machine Learning Research, 9:2217-2250, 2008.
    • (2008) Journal of Machine Learning Research , vol.9 , pp. 2217-2250
    • Warmuth, M.K.1    Kuzmin, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.