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Volumn , Issue , 2005, Pages 603-610

Generalization error bounds for aggregation by mirror descent with averaging

Author keywords

[No Author keywords available]

Indexed keywords

BASE FUNCTION; CONVERGENCE RATES; DUAL SPACES; GENERALIZATION ERROR; GENERALIZATION ERROR BOUNDS; GRADIENT DESCENT; HIGH-DIMENSIONAL PROBLEMS; ON-LINE SETTING; STOCHASTIC PROCEDURE; UPPER BOUND;

EID: 77952686979     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (6)

References (19)
  • 1
    • 0037403111 scopus 로고    scopus 로고
    • Mirror descent and nonlinear projected subgradient methods for convex optimization
    • Beck, A. & Teboulle, M. (2003) Mirror descent and nonlinear projected subgradient methods for convex optimization. Operations Research Letters, 31:167-175.
    • (2003) Operations Research Letters , vol.31 , pp. 167-175
    • Beck, A.1    Teboulle, M.2
  • 2
    • 0036342276 scopus 로고    scopus 로고
    • The Ordered Subsets Mirror Descent optimization method and its use for the Positron Emission Tomography reconstruction problem
    • Ben-Tal, A., Margalit, T. & Nemirovski, A. (2001) The Ordered Subsets Mirror Descent optimization method and its use for the Positron Emission Tomography reconstruction problem. SIAM J. on Optimization, 12:79-108.
    • (2001) SIAM J. on Optimization , vol.12 , pp. 79-108
    • Ben-Tal, A.1    Margalit, T.2    Nemirovski, A.3
  • 7
    • 0034362823 scopus 로고    scopus 로고
    • Functional aggregation for nonparametric estimation
    • Juditsky, A. & Nemirovski, A. (2000) Functional aggregation for nonparametric estimation. Annals of Statistics, 28(3): 681-712.
    • (2000) Annals of Statistics , vol.28 , Issue.3 , pp. 681-712
    • Juditsky, A.1    Nemirovski, A.2
  • 8
    • 84864074735 scopus 로고    scopus 로고
    • Recursive aggregation of estimators via the mirror descent algorithm with averaging
    • Juditsky, A.B., Nazin, A.V., Tsybakov, A.B. & Vayatis N. (2005) Recursive Aggregation of Estimators via the Mirror Descent Algorithm with Averaging. Technical Report LPMA, Université Paris 6. Available at http://www.proba.jussieu.fr/pageperso/vayatis/publication.html
    • (2005) Technical Report LPMA, Université Paris 6
    • Juditsky, A.B.1    Nazin, A.V.2    Tsybakov, A.B.3    Vayatis, N.4
  • 9
    • 0031190440 scopus 로고    scopus 로고
    • Proximal minimization methods with generalized Bregman functions
    • Kiwiel, K.C. (1997) Proximal minimization methods with generalized Bregman functions. SIAM J. Control Optim., 35:1142-1168.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1142-1168
    • Kiwiel, K.C.1
  • 10
    • 0008815681 scopus 로고    scopus 로고
    • Additive versus exponentiated gradient updates for linear prediction
    • Kivinen J. & Warmuth M.K. (1997) Additive versus exponentiated gradient updates for linear prediction. Information and Computation, Vol.132(1): 1-64.
    • (1997) Information and Computation , vol.132 , Issue.1 , pp. 1-64
    • Kivinen, J.1    Warmuth, M.K.2
  • 11
    • 9444269961 scopus 로고    scopus 로고
    • On the Bayes-risk consistency of regularized boosting methods (with discussion)
    • Lugosi, G. & Vayatis, N. (2004) On the Bayes-risk consistency of regularized boosting methods (with discussion). Annals of Statitics, 32(1): 30-55.
    • (2004) Annals of Statitics , vol.32 , Issue.1 , pp. 30-55
    • Lugosi, G.1    Vayatis, N.2
  • 13
    • 0026899240 scopus 로고
    • Acceleration of stochastic approximation by averaging
    • Polyak, B.T. & Juditsky, A.B. (1992) Acceleration of stochastic approximation by averaging. SIAM J. Control Optim., 30:838-855.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 838-855
    • Polyak, B.T.1    Juditsky, A.B.2
  • 16
    • 9444226947 scopus 로고    scopus 로고
    • Optimal rates of aggregation
    • Springer
    • Tsybakov, A. (2003) Optimal Rates of Aggregation. Proceedings of COLT'03, LNCS, Springer, Vol. 2777:303-313.
    • (2003) Proceedings of COLT'03, LNCS , vol.2777 , pp. 303-313
    • Tsybakov, A.1
  • 17
    • 3142725508 scopus 로고    scopus 로고
    • Optimal aggregation of classifiers in statistical learning
    • Tsybakov, A. (2004) Optimal aggregation of classifiers in statistical learning. Annals of Statistics, 32(1):135-166.
    • (2004) Annals of Statistics , vol.32 , Issue.1 , pp. 135-166
    • Tsybakov, A.1
  • 18
    • 4644257995 scopus 로고    scopus 로고
    • Statistical behavior and consistency of classification methods based on convex risk minimization (with discussion)
    • Zhang, T. (2004) Statistical behavior and consistency of classification methods based on convex risk minimization (with discussion). Annals of Statistics, 32(1):56-85.
    • (2004) Annals of Statistics , vol.32 , Issue.1 , pp. 56-85
    • Zhang, T.1
  • 19
    • 14344259207 scopus 로고    scopus 로고
    • Solving large scale linear prediction problems using stochastic gradient descent algorithms
    • Zhang, T. (2004) Solving large scale linear prediction problems using stochastic gradient descent algorithms. In Proceedings of ICML'04.
    • (2004) Proceedings of ICML'04
    • Zhang, T.1


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