메뉴 건너뛰기




Volumn 11, Issue , 2010, Pages 789-814

Stability bounds for stationary φ-mixing and β-mixing processes

Author keywords

Algorithmic stability; Generalization bounds; Learning in non i.i.d. scenarios; Learning theory; Mixing distributions; Weakly dependent observations

Indexed keywords

ALGORITHMIC STABILITY; GENERAL CLASS; GENERALIZATION BOUND; INDEPENDENTLY AND IDENTICALLY DISTRIBUTED; LEARNING THEORY; MACHINE LEARNING APPLICATIONS; MIXING DISTRIBUTIONS; MIXING PROCESS; REGULARIZATION ALGORITHMS; RELATIVE ENTROPY; RIDGE REGRESSION; SPECIFIC LEARNING; STABILITY ANALYSIS; SUPPORT VECTOR REGRESSIONS; TEMPORAL DEPENDENCE; THEORETICAL BASIS;

EID: 77949498582     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (137)

References (25)
  • 1
    • 34250957557 scopus 로고
    • Sur l'extension du théorème limite du calcul des probabilités aux sommes de quantités dépendantes
    • Sergei Natanovich Bernstein. Sur l'extension du théorème limite du calcul des probabilités aux sommes de quantités dépendantes. Mathematische Annalen, 97:1-59, 1927.
    • (1927) Mathematische Annalen , vol.97 , pp. 1-59
    • Bernstein, S.N.1
  • 5
    • 34249753618 scopus 로고
    • Support-vector networks
    • Corinna Cortes and Vladimir N. Vapnik. Support-vector networks. Machine Learning, 20(3):273-297, 1995.
    • (1995) Machine Learning , vol.20 , Issue.3 , pp. 273-297
    • Cortes, C.1    Vapnik, V.N.2
  • 6
    • 0018520640 scopus 로고
    • Distribution-free performance bounds for potential function rules
    • Luc Devroye and T. J. Wagner. Distribution-free performance bounds for potential function rules. In Information Theory, IEEE Transactions on, volume 25, pages 601-604, 1979.
    • (1979) Information Theory, IEEE Transactions on , vol.25 , pp. 601-604
    • Devroye, L.1    Wagner, T.J.2
  • 8
    • 0030654389 scopus 로고    scopus 로고
    • Algorithmic stability and sanity-check bounds for leave-one-out cross-validation
    • Michael Kearns and Dana Ron. Algorithmic stability and sanity-check bounds for leave-one-out cross-validation. In Computational Learning Theory, pages 152-162, 1997.
    • (1997) Computational Learning Theory , pp. 152-162
    • Kearns, M.1    Ron, D.2
  • 10
    • 61849181973 scopus 로고    scopus 로고
    • Concentration inequalities for dependent random variables via the martingale method
    • Leo Kontorovich and Kavita Ramanan. Concentration inequalities for dependent random variables via the martingale method. Annals of Probability, 36(6):2126-2158, 2008.
    • (2008) Annals of Probability , vol.36 , Issue.6 , pp. 2126-2158
    • Kontorovich, L.1    Ramanan, K.2
  • 11
    • 33750691840 scopus 로고    scopus 로고
    • Convergence and consistency of regularized boosting algorithms with stationary b-mixing observations
    • Aurélie Lozano, Sanjeev Kulkarni, and Robert Schapire. Convergence and consistency of regularized boosting algorithms with stationary b-mixing observations. In Advances in Neural Information Processing Systems, 2006.
    • (2006) Advances in Neural Information Processing Systems
    • Lozano, A.1    Kulkarni, S.2    Schapire, R.3
  • 12
    • 0032021367 scopus 로고    scopus 로고
    • Measure concentration for a class of random processes
    • Katalin Marton. Measure concentration for a class of random processes. Probability Theory and Related Fields, 110(3):427-439, 1998.
    • (1998) Probability Theory and Related Fields , vol.110 , Issue.3 , pp. 427-439
    • Marton, K.1
  • 13
    • 0002941010 scopus 로고    scopus 로고
    • Support vector machines for dynamic reconstruction of a chaotic system
    • MIT Press, Cambridge, MA, USA, . ISBN 0-262-19416-3
    • Davide Mattera and Simon Haykin. Support vector machines for dynamic reconstruction of a chaotic system. In Advances in Kernel Methods: Support Vector Learning, pages 211-241. MIT Press, Cambridge, MA, USA, 1999. ISBN 0-262-19416-3.
    • (1999) Advances in Kernel Methods: Support Vector Learning , pp. 211-241
    • Mattera, D.1    Haykin, S.2
  • 14
    • 0001035413 scopus 로고
    • On the method of bounded differences
    • Cambridge University Press
    • Colin McDiarmid. On the method of bounded differences. In Surveys in Combinatorics, pages 148-188. Cambridge University Press, 1989.
    • (1989) Surveys in Combinatorics , pp. 148-188
    • McDiarmid, C.1
  • 15
    • 0033904367 scopus 로고    scopus 로고
    • Nonparametric time series prediction through adaptive model selection
    • April
    • Ron Meir. Nonparametric time series prediction through adaptive model selection. Machine Learning, 39(1):5-34, April 2000.
    • (2000) Machine Learning , vol.39 , Issue.1 , pp. 5-34
    • Meir, R.1
  • 16
    • 0031647695 scopus 로고    scopus 로고
    • On the consistency in nonparametric estimation under mixing assumptions
    • DharmendraModha and EliasMasry. On the consistency in nonparametric estimation under mixing assumptions. IEEE Transactions of Information Theory, 44:117-133, 1998.
    • (1998) IEEE Transactions of Information Theory , vol.44 , pp. 117-133
    • Modha, D.1    Masry, E.2
  • 20
    • 0034336998 scopus 로고    scopus 로고
    • Concentration of measure inequalities for Markov chains and-mixing processes
    • Paul-Marie Samson. Concentration of measure inequalities for Markov chains and-mixing processes. Annals Probability, 28(1):416-461, 2000.
    • (2000) Annals Probability , vol.28 , Issue.1 , pp. 416-461
    • Samson, P.-M.1
  • 24
    • 0003161174 scopus 로고
    • Rates of convergence for empirical processes of stationary mixing sequences
    • Jan.
    • Bin Yu. Rates of convergence for empirical processes of stationary mixing sequences. The Annals of Probability, 22(1):94-116, Jan. 1994.
    • (1994) The Annals of Probability , vol.22 , Issue.1 , pp. 94-116
    • Yu, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.