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Volumn 36, Issue 6, 2014, Pages A2654-A2672

Applications of the cross-entropy method to importance sampling and optimal control of diffusions

Author keywords

Change of measure; Cross entropy method; Importance sampling; Optimal control; Rare events

Indexed keywords

NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; PROBABILITY DISTRIBUTIONS;

EID: 84919652788     PISSN: 10648275     EISSN: 10957197     Source Type: Journal    
DOI: 10.1137/14096493X     Document Type: Article
Times cited : (69)

References (26)
  • 1
    • 79960636922 scopus 로고    scopus 로고
    • Optimal control of open quantum systems applied to the photochemistry of surfaces
    • E. ASPLUND AND T. KLÜNER, Optimal control of open quantum systems applied to the photochemistry of surfaces, Phys. Rev. Lett., 106(2011), 140404.
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 140404
    • Asplund, E.1    Klüner, T.2
  • 2
    • 1242346370 scopus 로고
    • The missing term in effective pair potentials
    • H. BERENDSEN, J. GRIGERA, AND T. STRAATSMA, The missing term in effective pair potentials, J. Phys. Chemistry, 91(1987), pp. 6269-6271.
    • (1987) J. Phys. Chemistry , vol.91 , pp. 6269-6271
    • Berendsen, H.1    Grigera, J.2    Straatsma, T.3
  • 6
    • 22244431981 scopus 로고    scopus 로고
    • Importance sampling, large deviations, and differential games
    • P. DUPUIS AND H. WANG, Importance sampling, large deviations, and differential games, Stoch. Stoch. Reports, 76(2004), pp. 481-508.
    • (2004) Stoch. Stoch. Reports , vol.76 , pp. 481-508
    • Dupuis, P.1    Wang, H.2
  • 7
    • 4043091401 scopus 로고
    • The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
    • D. DÜRR AND A. BACH, The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process, Comm. Math. Phys., 60(1978), pp. 153-170.
    • (1978) Comm. Math. Phys. , vol.60 , pp. 153-170
    • Dürr, D.1    Bach, A.2
  • 11
    • 84874883342 scopus 로고    scopus 로고
    • Rational construction of stochastic numerical methods for molecular sampling
    • B. LEIMKUHLER AND C. MATTHEWS, Rational construction of stochastic numerical methods for molecular sampling, Appl. Math. Res. eXpress, 2013(2013), pp. 34-56.
    • (2013) Appl. Math. Res. Express , vol.2013 , pp. 34-56
    • Leimkuhler, B.1    Matthews, C.2
  • 13
    • 19744380438 scopus 로고    scopus 로고
    • Geometric ergodicity of some hypo-elliptic diffusions for par ticle motions
    • J. C. MATTINGLY AND A. M. STUART, Geometric ergodicity of some hypo-elliptic diffusions for par ticle motions, Markov Process. Related Fields, 8(2002), pp. 199-214.
    • (2002) Markov Process. Related Fields , vol.8 , pp. 199-214
    • Mattingly, J.C.1    Stuart, A.M.2
  • 14
    • 84986440341 scopus 로고    scopus 로고
    • SETTLE: An analytical version of the SHAKE and RATTLE algorithm for rigid water models
    • S. MIYAMOTO AND P. KOLLMAN, SETTLE: An analytical version of the SHAKE and RATTLE algorithm for rigid water models, J. Comput. Chemistry, 13(2004), pp. 952-962.
    • (2004) J. Comput. Chemistry , vol.13 , pp. 952-962
    • Miyamoto, S.1    Kollman, P.2
  • 18
    • 3543089271 scopus 로고    scopus 로고
    • The cross-entropy method: A unified approach to combinatorial optimization
    • Springer, New York
    • R. Y. RUBINSTEIN AND D. P. KROESE, The Cross-Entropy Method: A Unified Approach to Combinatorial Optimization, Monte-Carlo Simulation and Machine Learning, Springer, New York, 2004.
    • (2004) Monte-carlo Simulation and Machine Learning
    • Rubinstein, R.Y.1    Kroese, D.P.2
  • 19
    • 0035425883 scopus 로고    scopus 로고
    • An improved GROMOS 96 force field for aliphatic hydrocarbons in the condensed phase
    • L. D. SCHULER, X. DAURA, AND W. F. VAN GUNSTEREN, An improved GROMOS 96 force field for aliphatic hydrocarbons in the condensed phase, J. Comput. Chemistry, 22(2001), pp. 1205-1218.
    • (2001) J. Comput. Chemistry , vol.22 , pp. 1205-1218
    • Schuler, L.D.1    Daura, X.2    Van Gunsteren, W.F.3
  • 20
    • 84865692627 scopus 로고    scopus 로고
    • Optimal control of molecular dynamics using markov state models
    • C. SCHÜTTE, S. WINKELMANN, AND C. HARTMANN, Optimal control of molecular dynamics using markov state models, Math. Program., 134(2012), pp. 259-282.
    • (2012) Math. Program. , vol.134 , pp. 259-282
    • Schütte, C.1    Winkelmann, S.2    Hartmann, C.3
  • 21
    • 38349172645 scopus 로고    scopus 로고
    • Laser aligned molecules: Applications in physics and chemistry
    • H. STAPELFELDT, Laser aligned molecules: Applications in physics and chemistry, Phys. Scripta, 2004(2004), pp. 132-136.
    • (2004) Phys. Scripta , vol.2004 , pp. 132-136
    • Stapelfeldt, H.1
  • 22
    • 84919623957 scopus 로고    scopus 로고
    • Optimal control of robot guided laser material treatment
    • A. D. Fitt, J. Norbury, H. Ockendon, and E. Wilson, eds., Springer, New York
    • A. STEINBRECHER, Optimal control of robot guided laser material treatment, in Progress in Industrial Mathematics at ECMI 2008, A. D. Fitt, J. Norbury, H. Ockendon, and E. Wilson, eds., Springer, New York, 2010, pp. 505-511.
    • (2010) Progress in Industrial Mathematics at ECMI 2008 , pp. 505-511
    • Steinbrecher, A.1
  • 23
    • 84867596369 scopus 로고    scopus 로고
    • Rare event simulation of small noise diffusions
    • E. VANDEN-EIJNDEN AND J. WEARE, Rare event simulation of small noise diffusions, Comm. Pure Appl. Math., 65(2012), pp. 1770-1803.
    • (2012) Comm. Pure Appl. Math. , vol.65 , pp. 1770-1803
    • Vanden-Eijnden, E.1    Weare, J.2
  • 26
    • 79959786662 scopus 로고    scopus 로고
    • State-feedback, finite-horizon, cost density-shaping control for the linear quadratic gaussian framework
    • M. ZYSKOWSKI, M. SAIN, AND R. DIERSING, State-feedback, finite-horizon, cost density-shaping control for the linear quadratic gaussian framework, J. Optim. Theory Appl., 150(2011), pp. 251-274.
    • (2011) J. Optim. Theory Appl. , vol.150 , pp. 251-274
    • Zyskowski, M.1    Sain, M.2    Diersing, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.