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Volumn 398, Issue , 2010, Pages 39-50

On the sample complexity of probabilistic analysis and design methods

Author keywords

Probabilistic robustness; Randomized algorithms; Sample complexity; Uncertain systems

Indexed keywords

ANALYSIS AND DESIGN; BINOMIAL DISTRIBUTION; CONVEX OPTIMIZATION PROBLEMS; DESIGN PROBLEMS; PROBABILISTIC ANALYSIS; PROBABILISTIC METHODS; PROBABILISTIC ROBUSTNESS; RANDOMIZED ALGORITHMS; ROBUST CONTROLLERS; SAMPLE COMPLEXITY;

EID: 77950210563     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-93918-4_4     Document Type: Article
Times cited : (35)

References (14)
  • 1
    • 79952901713 scopus 로고    scopus 로고
    • Randomized strategies for probabilistic solutions of uncertain feasibility and optimization problems
    • Alamo, T., Tempo, R., Camacho, E.F.: Randomized strategies for probabilistic solutions of uncertain feasibility and optimization problems. IEEE Transactions on Automatic Control 54(11), 2545-2559 (2009)
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.11 , pp. 2545-2559
    • Alamo, T.1    Tempo, R.2    Camacho, E.F.3
  • 2
    • 0036647203 scopus 로고    scopus 로고
    • Optimization with few violated constraints for linear bounded error parameter estimation
    • Bai, E., Cho, H., Tempo, R., Ye, Y.: Optimization with few violated constraints for linear bounded error parameter estimation. IEEE Transactions on Automatic Control 47(7), 1067-1077 (2002)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.7 , pp. 1067-1077
    • Bai, E.1    Cho, H.2    Tempo, R.3    Ye, Y.4
  • 4
    • 61349159944 scopus 로고    scopus 로고
    • The exact feasibility of randomized solutions of robust convex programs
    • Campi, M.C., Garatti, S.: The exact feasibility of randomized solutions of robust convex programs. SIAM Journal on Optimization 19, 1211-1230 (2008)
    • (2008) SIAM Journal on Optimization , vol.19 , pp. 1211-1230
    • Campi, M.C.1    Garatti, S.2
  • 5
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
    • Chernoff, H.: A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations. Annals of Mathematical Statistics 23, 493-507 (1952)
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 6
    • 36749009795 scopus 로고    scopus 로고
    • Probabilistic robust controller design: Probable near minimax value and randomized algorithms
    • Calafiore, G., Dabbene, F. (eds.) Springer, London
    • Fujisaki, Y., Kozawa, Y.: Probabilistic robust controller design: probable near minimax value and randomized algorithms. In: Calafiore, G., Dabbene, F. (eds.) Probabilistic and Randomized Methods for Design under Uncertainty. Springer, London (2006)
    • (2006) Probabilistic and Randomized Methods for Design under Uncertainty
    • Fujisaki, Y.1    Kozawa, Y.2
  • 8
    • 67649566847 scopus 로고    scopus 로고
    • A sample approximation approach for optimization with probabilistic constraints
    • Luedtke, J., Ahmed, S.: A sample approximation approach for optimization with probabilistic constraints. SIAM Journal on Optimization 19(2), 674-699 (2008)
    • (2008) SIAM Journal on Optimization , vol.19 , Issue.2 , pp. 674-699
    • Luedtke, J.1    Ahmed, S.2
  • 9
    • 51849177724 scopus 로고
    • Some inequalities relating to the partial sum of binomial probabilities
    • Okamoto, M.: Some inequalities relating to the partial sum of binomial probabilities. Annals of the Institute of Statistical Mathematics 10(1), 29-35 (1959)
    • (1959) Annals of the Institute of Statistical Mathematics , vol.10 , Issue.1 , pp. 29-35
    • Okamoto, M.1
  • 10
    • 0000872569 scopus 로고    scopus 로고
    • Probabilistic robustness analysis: Explicit bounds for the minimum number of samples
    • Tempo, R., Bai, E.-W., Dabbene, F.: Probabilistic robustness analysis: explicit bounds for the minimum number of samples. Systems & Control Letters 30, 237-242 (1997)
    • (1997) Systems & Control Letters , vol.30 , pp. 237-242
    • Tempo, R.1    Bai, E.-W.2    Dabbene, F.3
  • 14
    • 0035480306 scopus 로고    scopus 로고
    • Randomized algorithms for robust controller synthesis using statistical learning theory
    • Vidyasagar, M.: Randomized algorithms for robust controller synthesis using statistical learning theory. Automatica 37, 1515-1528 (2001)
    • (2001) Automatica , vol.37 , pp. 1515-1528
    • Vidyasagar, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.