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ABC+23

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ABD+23

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AHL+14

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BES+07

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BES+08

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CDW14

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CEP12

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CG14

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CGI10

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CBRV13

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DS14

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DVM+14

Christian Daniel, Malte Viering, Jan Metz, Oliver Kroemer, and Jan Peters. Active reward learning. In Robotics: Science and Systems. 2014.

DMA97

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DKB14

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DWB05

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EMS+16

Mohamed S Ebeida, Scott A Mitchell, Laura P Swiler, Vicente J Romero, and Ahmad A Rushdi. Pof-darts: geometric adaptive sampling for probability of failure. Reliability Engineering & System Safety, 155:64–77, 2016.

EPH09

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EHJT04

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ES09

M. S Eldred and L. P. Swiler. Efficient algorithms for mixed aleatory-epistemic uncertainty quantification with application to radiation-hardened electronics. part 1: algorithms and benchmark results. Technical Report SAND2009-5805, Sandia National Laboratories, Albuquerque, NM, 2009.

Eld98

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EAP+07

M. S. Eldred, H. Agarwal, V. M. Perez, S. F. Wojtkiewicz, Jr., and J. E. Renaud. Investigation of reliability method formulations in DAKOTA/UQ. Structure & Infrastructure Engineering: Maintenance, Management, Life-Cycle Design & Performance, 3(3):199–213, 2007.

EB06

M. S. Eldred and B. J. Bichon. Second-order reliability formulations in DAKOTA/UQ. In Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, number AIAA-2006-1828. Newport, RI, May 1–4 2006.

EB09

M. S. Eldred and J. Burkardt. Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification. In Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit, number AIAA-2009-0976. Orlando, FL, January 5–8, 2009.

ED06

M. S. Eldred and D. M. Dunlavy. Formulations for surrogate-based optimization with data fit, multifidelity, and reduced-order models. In Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, number AIAA-2006-7117. Portsmouth, VA, September 6–8 2006.

EGC04

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EH98

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EHB+96

M. S. Eldred, W. E. Hart, W. J. Bohnhoff, V. J. Romero, S. A. Hutchinson, and A. G. Salinger. Utilizing object-oriented design to build advanced optimization strategies with generic implementation. In Proc. 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, number AIAA-96-4164, 1568–1582. Bellevue, WA, September 4–6 1996.

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M. S. Eldred, W. E. Hart, B. D. Schimel, and B. G. van Bloemen Waanders. Multilevel parallelism for optimization on MP computers: theory and experiment. In Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, number AIAA-2000-4818. Long Beach, CA, 2000.

EOB+96

M. S. Eldred, D. E. Outka, W. J. Bohnhoff, W. R. Witkowski, V. J. Romero, E. R. Ponslet, and K. S. Chen. Optimization of complex mechanics simulations with object-oriented software design. Computer Modeling and Simulation in Engineering, August 1996.

ES99

M. S. Eldred and B. D. Schimel. Extended parallelism models for optimization on massively parallel computers. In Proc. 3rd World Congress of Structural and Multidisciplinary Optimization (WCSMO-3), number 16-POM-2. Amherst, NY, May 17–21 1999.

EWC08

M. S. Eldred, C. G. Webster, and P. Constantine. Evaluation of non-intrusive approaches for wiener-askey generalized polynomial chaos. In Proceedings of the 10th AIAA Non-Deterministic Approaches Conference, number AIAA-2008-1892. Schaumburg, IL, April 7–10 2008.

EAG+07

M.S. Eldred, B.M. Adams, D.M. Gay, L.P. Swiler, K. Haskell, W.J. Bohnhoff, J.P. Eddy, W.E. Hart, J.P Watson, J.D. Griffin, P.D. Hough, T.G. Kolda, P.J. Williams, and M.L. Martinez-Canales. Dakota version 4.1 users manual. Sandia Technical Report SAND2006-6337, Sandia National Laboratories, Albuquerque, NM, 2007. URL: http://dakota.sandia.gov/licensing/release/Users4.1.pdf.

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FDKI17

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FT06

S. Ferson and W. T. Tucker. Sensitivity analysis using probability bounding. Reliability Engineering and System Safety, 91:1435–1442, 2006.

Fla

D. Flaggs. JPrePost user's manual. In preparation.

FJ10

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FLT02

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FGK03

R. Fourer, D. M. Gay, and B. W. Kernighan. AMPL: A Modeling Language for Mathematical Programming, 2nd ed. Duxbury Press/Brooks/Cole Publishing Co., Pacific Grove, CA, 2003. For small examples, e.g., at most 300 variables, a student version of AMPL suffices; see \texttt http://www.ampl.com/DOWNLOADS.

FST05

P. Frauenfelder, C. Schwab, and R. A. Todor. Finite elements for elliptic problems with stochastic coefficients. Comput. Methods Appl. Mech. Engrg., 194(2-5):205–228, 2005.

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Gab01

J. Gablonsky. Direct version 2.0 userguide technical report. Technical Report CRSC-TR01-08, North Carolina State University, Center for Research in Scientific Computation, Raleigh, NC, 2001.

GVSG14

S. Gao, G. Ver Steeg, and A Galstyan. Efficient estimation of mutual information for strongly dependent variables. CoRR, 2014. URL: http://arxiv.org/abs/1411.2003, arXiv:1411.2003.

Gau04

W. Gautschi. Orthogonal Polynomials: Computation and Approximation. Oxford University Press, New York, 2004.

Gay97

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GIE15

G. Geraci, G. Iaccarino, and Michael S. Eldred. A multi fidelity control variate approach for the multilevel monte carlo technique. CTR Annual Research Briefs 2015, pages 169–181, 2015.

GEI17

Gianluca Geraci, Michael S. Eldred, and Gianluca Iaccarino. A multifidelity multilevel Monte Carlo method for uncertainty propagation in aerospace applications. In 19th AIAA Non-Deterministic Approaches Conference. AIAA, January 2017. URL: http://arc.aiaa.org/doi/10.2514/6.2017-1951 (visited on 2019-10-04), doi:10.2514/6.2017-1951.

GG98

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GG03

T. Gerstner and M. Griebel. Dimension-adaptive tensor-product quadrature. Computing, 71(1):65–87, 2003.

GRH99

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Gil08

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Gil15

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GMSE06

A. A. Giunta, J. M. McFarland, L. P. Swiler, and M. S. Eldred. The promise and peril of uncertainty quantification using respone surface approximations. Structure and Infrastructure Engineering, 2(3-4):175–189, September-December 2006.

GSB+06

A. A. Giunta, L. P. Swiler, S. L Brown, M. S. Eldred, M. D. Richards, and E. C. Cyr. The surfpack software library for surrogate modeling of sparse, irregularly spaced multidimensional data. In Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, number AIAA-2006-7049. Portsmouth, VA, 2006.

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VSR+07

K. W. Vugrin, L. P. Swiler, R. M. Roberts, N. J. Stuckey-Mack, and S. P Sullivan. Confidence region estimation techniques for nonlinear regression in groundwater flow: three case studies. Water Resources Research, 2007.

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WWJ17

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WEM06

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WKS+12

V. G. Weirs, J. R. Kamm, L. P. Swiler, M. Ratto, S. Tarantola, B. M. Adams, W. J. Rider, and M. S Eldred. Sensitivity analysis techniques applied to a system of hyperbolic conservation laws. Reliability Engineering and System Safety, 107:157–170, 2012.

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WSSC01

Y.-T. Wu, Y. Shin, R. Sues, and M. Cesare. Safety-factor based approach for probability-based design optimization. In Proc. 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, number AIAA-2001-1522. Seattle, WA, April 16–19 2001.

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WJ98

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S. Xu and R. V. Grandhi. Effective two-point function approximation for design optimization. AIAA J., 36(12):2269–2275, 1998.

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Hui Zou and Trevor Hastie. Regularization and variable selection via the elastic net. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 67(2):301–320, 2005. URL: http://dx.doi.org/10.1111/j.1467-9868.2005.00503.x, doi:10.1111/j.1467-9868.2005.00503.x.

ZMR04

T. Zou, S. Mahadevan, and R. Rebba. Computational efficiency in reliability-based optimization. In Proceedings of the 9th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability. Albuquerque, NM, July 26–28, 2004.

ZMMM02

T. Zou, Z. Mourelatos, S. Mahadevan, and P. Meernik. Reliability analysis of automotive body-door subsystem. Rel. Eng. and Sys. Safety, 78:315–324, 2002.

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