[1] A. Glaws and P. G. Constantine. A Lanczos-Stieltjes method for one-dimensional ridge function approximation and integration. 2018. [ bib | arXiv | .pdf ]
[2] D. Wu, Y. Chen, S. Manna, K. Talley, A. Zakutayev, G. Brennecka, C. V. Ciobanu, P. Constantine, and C. E. Packard. Characterization of elastic modulus across the (Al1-xScx)N system using DFT and substrate-effect-corrected nanoindentation. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, pages 1--9, 2018. [ bib | DOI | .pdf ]
[3] P. G. Constantine, J. M. Hokanson, and D. P. Kouri. Ridge approximation and dimension reduction for an acoustic scattering model. In International Applied Computational Electromagnetics Society Symposium (ACES), Denver, CO, pages 1--2, 2018. [ bib | DOI | .pdf ]
[4] A. Eftekhari, M. B. Wakin, P. Li, and P. G. Constantine. Learning the second-moment matrix of a smooth function from point samples. 2018. [ bib | arXiv | .pdf ]
[5] A. Glaws and P. G. Constantine. Gauss-Christoffel quadrature for inverse regression: applications to computer experiments. Statistics and Computing, pages 1--19, 2018. [ bib | DOI | .pdf ]
[6] O. Zahm, P. Constantine, C. Prieur, and Y. Marzouk. Gradient-based dimension reduction of multivariate vector-valued functions. 2018. [ bib | arXiv | .pdf ]
[7] Z. Grey and P. Constantine. Characterizing subspaces of engineering shapes using differential geometry. In AIAA Non-Deterministic Approaches Conference, AIAA SciTech Forum, Kissimmee, FL, pages 1--20, 2018. [ bib | DOI | .pdf ]
[8] P. Diaz, P. Constantine, K. Kalmbach, E. Jones, and S. Pankavich. A modified SEIR model for the spread of Ebola in Western Africa and metrics for resource allocation. Applied Mathematics and Computation, 324:141--155, 2018. [ bib | DOI | .pdf ]
[9] P. Seshadri, S. Shahpar, P. G. Constantine, G. T. Parks, and M. Adams. Turbomachinery active subspace performance maps. Journal of Turbomachinery, 140(4):041003--11, 2018. [ bib | DOI | .pdf ]
[10] J. M. Hokanson and P. G. Constantine. Data-driven polynomial ridge approximation using variable projection. SIAM Journal on Scientific Computing, 40(3):A1566--A1589, 2018. [ bib | DOI | .pdf ]
[11] Z. J. Grey and P. G. Constantine. Active subspaces of airfoil shape parameterizations. AIAA Journal, 56(5):2003--2017, 2018. [ bib | DOI | .pdf ]
[12] I. Schuster, P. G. Constantine, and T. J. Sullivan. Exact active subspace Metropolis-Hastings, with applications to the Lorenz-96 system. 2017. [ bib | arXiv | .pdf ]
[13] A. Eftekhari, M. B. Wakin, P. Li, P. G. Constantine, and R. A. Ward. Learning the second-moment matrix of a smooth function from point samples. In 51st Asilomar Conference on Signals, Systems, and Computers, Asilomar, CA, pages 671--675, 2017. [ bib | DOI | .pdf ]
[14] A. Cortesi, P. Constantine, T. Magin, and P. M. Congedo. Forward and backward uncertainty quantification with active subspaces: application to hypersonic flows around a cylinder. hal-01592591, 2017. [ bib | .pdf | http ]
[15] J. J. Alonso, M. S. Eldred, P. Constantine, K. Duraisamy, C. Farhat, G. Iaccarino, and J. Jakeman. Scalable environment for quantification of uncertainty and optimization in industrial applications (SEQUOIA). In 19th AIAA Non-Deterministic Approaches Conference, Grapevine, TX, pages 1--19, 2017. [ bib | DOI | .pdf ]
[16] Z. del Rosario, P. Constantine, and G. Iaccarino. Developing design insight through active subspaces. In 19th AIAA Non-Deterministic Approaches Conference, Grapevine, TX, pages 1--16, 2017. [ bib | DOI | .pdf ]
[17] J. L. Jefferson, R. M. Maxwell, and P. G. Constantine. Exploring the sensitivity of photosynthesis and stomatal resistance parameters in a land surface model. Journal of Hydrometeorology, 18(3):897--915, 2017. [ bib | DOI | .pdf ]
[18] Z. Grey and P. Constantine. Active subspaces of airfoil shape parameterizations. In 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Grapevine, TX, pages 1--18, 2017. [ bib | DOI | .pdf ]
[19] A. T. Glaws, P. G. Constantine, and R. D. Cook. Inverse regression for ridge recovery: A data-driven approach for parameter space dimension reduction in computational science. 2017. [ bib | arXiv | .pdf ]
[20] A. Glaws, P. G. Constantine, J. Shadid, and T. M. Wildey. Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. Statistical Analysis and Data Mining: The ASA Data Science Journal, 10(5):312--325, 2017. [ bib | DOI | .pdf ]
[21] P. G. Constantine and P. Diaz. Global sensitivity metrics from active subspaces. Reliability Engineering & System Safety, 162:1--13, 2017. [ bib | DOI | .pdf ]
[22] P. G. Constantine and A. Doostan. Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model. Statistical Analysis and Data Mining: The ASA Data Science Journal, 10(5):243--262, 2017. [ bib | DOI | .pdf ]
[23] P. G. Constantine, A. Eftekhari, J. Hokanson, and R. Ward. A near-stationary subspace for ridge approximation. Computer Methods in Applied Mechanics and Engineering, 326:402--421, 2017. [ bib | DOI | .pdf ]
[24] P. G. Constantine, Z. del Rosario, and G. Iaccarino. Data-driven dimensional analysis: algorithms for unique and relevant dimensionless groups. 2017. [ bib | arXiv | .pdf ]
[25] K. Stinson, D. F. Gleich, and P. G. Constantine. A randomized algorithm for enumerating zonotope vertices. 2016. [ bib | arXiv | .pdf ]
[26] P. Seshadri, P. G. Constantine, G. Iaccarino, and G. T. Parks. A density-matching approach for optimization under uncertainty. Computer Methods in Applied Mechanics and Engineering, 305:562--578, 2016. [ bib | DOI | .pdf ]
[27] C. Othmer, T. W. Lukaczyk, P. Constantine, and J. J. Alonso. On active subspaces in car aerodynamics. In 17th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Washington D.C., pages 1--13, 2016. [ bib | DOI | .pdf ]
[28] J. Gilbert, J. Jefferson, P. G. Constantine, and R. Maxwell. Global spatial sensitivity of runoff to subsurface permeability using the active subspace method. Advances in Water Resources, 92:30--42, 2016. [ bib | DOI | .pdf ]
[29] P. Constantine, R. Howard, A. Glaws, Z. Grey, P. Diaz, and L. Fletcher. Python Active-subspaces Utility Library. The Journal of Open Source Software, 1(5), 2016. [ bib | DOI | .pdf ]
[30] P. G. Constantine, C. Kent, and T. Bui-Thanh. Accelerating Markov chain Monte Carlo with active subspaces. SIAM Journal on Scientific Computing, 38(5):A2779--A2805, 2016. [ bib | DOI | .pdf ]
[31] M. Bauerheim, A. Ndiaye, P. Constantine, S. Moreau, and F. Nicoud. Symmetry breaking of azimuthal thermoacoustic modes: The UQ perspective. Journal of Fluid Mechanics, 789:534--566, 2016. [ bib | DOI | .pdf ]
[32] P. G. Constantine, B. Zaharatos, and M. Campanelli. Discovering an active subspace in a single-diode solar cell model. Statistical Analysis and Data Mining: The ASA Data Science Journal, 8(5-6):264--273, 2015. [ bib | DOI | .pdf ]
[33] J. L. Jefferson, J. M. Gilbert, P. G. Constantine, and R. M. Maxwell. Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. Computers & Geosciences, 83:127--138, 2015. [ bib | DOI | .pdf ]
[34] D. F. Gleich and P. G. Constantine. Ranking web pages. In Nicholas J. Higham, editor, The Princeton Companion to Applied Mathematics, pages 755--757. Princeton University Press, 2015. [ bib | .pdf ]
[35] P. G. Constantine. Active Subspaces: Emerging Ideas in Dimension Reduction for Parameter Studies. SIAM, Philadelphia, 2015. [ bib | DOI | .pdf ]
[36] P. G. Constantine, M. Emory, J. Larsson, and G. Iaccarino. Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet. Journal of Computational Physics, 302:1--20, 2015. [ bib | DOI | .pdf ]
[37] P. G. Constantine, A. Eftekhari, and M. B. Wakin. Computing active subspaces efficiently with gradient sketching. In IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Cancun, pages 353--356, 2015. [ bib | DOI | .pdf ]
[38] P. G. Constantine and D. F. Gleich. Computing active subspaces with Monte Carlo. 2015. [ bib | arXiv | .pdf ]
[39] P. G. Constantine, E. Dow, and Q. Wang. Erratum: Active subspace methods in theory and practice: applications to kriging surfaces. SIAM Journal on Scientific Computing, 36(6):A3030--A3031, 2014. [ bib | DOI | .pdf ]
[40] P. Seshadri, P. Constantine, and G. Iaccarino. Aggressive design under uncertainty. In 16th AIAA Non-Deterministic Approaches Conference, National Harbor, pages 1--12, 2014. [ bib | DOI | .pdf ]
[41] T. W. Lukaczyk, P. Constantine, F. Palacios, and J. J. Alonso. Active subspaces for shape optimization. In 10th AIAA Multidisciplinary Design Optimization Conference, National Harbor, pages 1--18, 2014. [ bib | DOI | .pdf ]
[42] P. G. Constantine, E. T. Phipps, and T. M. Wildey. Efficient uncertainty propagation for network multiphysics systems. International Journal for Numerical Methods in Engineering, 99(3):183--202, 2014. [ bib | DOI | .pdf ]
[43] P. G. Constantine, E. Dow, and Q. Wang. Active subspace methods in theory and practice: Applications to kriging surfaces. SIAM Journal on Scientific Computing, 36(4):A1500--A1524, 2014. [ bib | DOI | .pdf ]
[44] P. G. Constantine, D. F. Gleich, Y. Hou, and J. Templeton. Model reduction with MapReduce-enabled tall and skinny singular value decomposition. SIAM Journal on Scientific Computing, 36(5):S166--S191, 2014. [ bib | DOI | .pdf ]
[45] M. Bauerheim, A. Ndiaye, P. Constantine, G. Iaccarino, S. Moreau, and F. Nicoud. Uncertainty quantification of thermo-acoustic instabilities in annular combustors. Center for Turbulence Research Proceedings of the Summer Program, pages 209--218, 2014. [ bib | .pdf ]
[46] P. Seshadri, P. Constantine, P. Gonnet, and G. T. Parks. Sparse robust rational interpolation for parameter-dependent aerospace models. In 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Boston, MA, pages 1--13, 2013. [ bib | DOI | .pdf ]
[47] P. G. Constantine, M. Emory, F. Palacios, N. Kseib, and G. Iaccarino. Quantification of margins and uncertainties using an active subspace method for approximating bounds. In 11th International Conference on Structural Safety & Reliability, New York, NY, pages 823--827, 2013. [ bib | .pdf ]
[48] R. V. Field Jr., P. Constantine, and M. Boslough. Statistical surrogate models for prediction of high-consequence climate change. International Journal for Uncertainty Quantification, 3(4):341--355, 2013. [ bib | DOI | .pdf ]
[49] J. Urzay, N. Kseib, P. G. Constantine, D. F. Davidson, and G. Iaccarino. Uncertainty-quantifying models for chemical-kinetic rates. Center for Turbulence Research Annual Research Briefs, pages 3--16, 2012. [ bib | .pdf ]
[50] P. G. Constantine, M. S. Eldred, and E. T. Phipps. Sparse pseudospectral approximation method. Computer Methods in Applied Mechanics and Engineering, 229-232(0):1--12, 2012. [ bib | DOI | .pdf ]
[51] P. G. Constantine and Q. Wang. Residual minimizing model interpolation for parameterized nonlinear dynamical systems. SIAM Journal on Scientific Computing, 34(4):A2118--A2144, 2012. [ bib | DOI | .pdf ]
[52] O. Marxen, G. Serino, F. Pinna, P. Constantine, C. Gorle, and G. Iaccarino. Statistical inverse analysis and stochastic modeling of transition. Center for Turbulence Research Proceedings of the Summer Program, pages 189--198, 2012. [ bib | .pdf ]
[53] D. Lucor, J. Witteveen, P. Constantine, D. Schiavazzi, and G. Iaccarino. Comparison of adaptive uncertainty quantification approaches for shock wave-dominated flows. Center for Turbulence Research Proceedings of the Summer Program, pages 219--228, 2012. [ bib | .pdf ]
[54] P. Constantine and G. Iaccarino. Reduced order models for parameterized hyperbolic conservations laws with shock reconstruction. Center for Turbulence Research Annual Research Briefs, pages 115--126, 2012. [ bib | .pdf ]
[55] P. Constantine, Q. Wang, and G. Iaccarino. A method for spatial sensitivity analysis. Center for Turbulence Research Annual Research Briefs, pages 323--331, 2012. [ bib | .pdf ]
[56] P. G. Constantine and D. F. Gleich. Distinguishing signal from noise in an SVD of simulation data. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Kyoto, pages 5333--5336, 2012. [ bib | DOI | .pdf ]
[57] P. G. Constantine and E. T. Phipps. A Lanczos method for approximating composite functions. Applied Mathematics and Computation, 218(24):11751--11762, 2012. [ bib | DOI | .pdf ]
[58] T. Butler, P. G. Constantine, and T. Wildey. A posteriori error analysis of parameterized linear systems using spectral methods. SIAM Journal on Matrix Analysis and Applications, 33(1):195--209, 2012. [ bib | DOI | .pdf ]
[59] G. Backus, M. Boslough, T. Brown, X. Cai, S. Conrad, P. Constantine, K. Dalbey, B. Debusschere, R. Fields, D. Hart, E. Kalinina, A. Kerstein, M. Levy, T. Lowry, L. Malczynski, H. Najm, J. Overfelt, M. J. Parks, W. J. Peplinski, C. Safta, K. Sargsyan, W. Stubblefield, M. A. Taylor, V. Tidwell, T. Trucano, and D. Villa. Risk assessment of climate systems for national security. Sandia Report SAND2012-10554, pages 1--121, 2012. [ bib | DOI | .pdf ]
[60] P. G. Constantine and D. F. Gleich. Tall and skinny QR factorizations in MapReduce architectures. In 2nd International Workshop on MapReduce and Its Applications, San Jose, pages 43--50, 2011. [ bib | DOI | .pdf ]
[61] P. Constantine, Q. Wang, A. Doostan, and G. Iaccarino. A surrogate accelerated Bayesian inverse analysis of the HyShot II flight data. In 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, pages 1--9, 2011. [ bib | DOI | .pdf ]
[62] P. G. Constantine, D. F. Gleich, and G. Iaccarino. A factorization of the spectral Galerkin system for parameterized matrix equations: Derivation and applications. SIAM Journal on Scientific Computing, 33(5):2995--3009, 2011. [ bib | DOI | .pdf ]
[63] H. Chen, Q. Wang, R. Hu, and P. Constantine. Conditional sampling and experiment design for quantifying manufacturing error of transonic airfoil. In 49th AIAA Aerospace Sciences Meeting, Orlando, pages 1--17, 2011. [ bib | DOI | .pdf ]
[64] D. F. Gleich, P. G. Constantine, A. D. Flaxman, and A. Gunawardana. Tracking the random surfer: Empirically measured teleportation parameters in PageRank. In 19th International Conference on World Wide Web (WWW '10), Raleigh, pages 381--390, 2010. [ bib | DOI | .pdf ]
[65] P. G. Constantine, A. Doostan, Q. Wang, and G. Iaccarino. A surrogate accelerated Bayesian inverse analysis of the HyShot II supersonic combustion data. Center for Turbulence Research Proceedings of the Summer Program, pages 5--14, 2010. [ bib | .pdf ]
[66] P. G. Constantine, D. F. Gleich, and G. Iaccarino. Spectral methods for parameterized matrix equations. SIAM Journal on Matrix Analysis and Applications, 31(5):2681--2699, 2010. [ bib | DOI | .pdf ]
[67] P. G. Constantine and D. F. Gleich. Random alpha PageRank. Internet Mathematics, 6(2):189--236, 2009. [ bib | DOI | .pdf ]
[68] G. Iaccarino and P. Constantine. Large eddy simulations of flow around a cylinder with uncertain wall heating. In 47th AIAA Aerospace Sciences Meeting, Orlando, pages 1--12, 2009. [ bib | DOI | .pdf ]
[69] P. G. Constantine, A. Doostan, and G. Iaccarino. A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions. International Journal for Numerical Methods in Engineering, 80(6-7):868--880, 2009. [ bib | DOI | .pdf ]
[70] P. G. Constantine. Spectral Methods for Parameterized Matrix Equations. PhD thesis, Stanford University, 2009. [ bib | .pdf | http ]
[71] M. Eldred, C. Webster, and P. Constantine. Design under uncertainty employing stochastic expansion methods. In 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, British Columbia, Canada., pages 1--22, 2008. [ bib | DOI | .pdf ]
[72] R. Pečnik, P. G. Constantine, F. Ham, and G. Iaccarino. A probabilistic framework for high-speed flow simulations. Center for Turbulence Research Annual Research Briefs, pages 3--17, 2008. [ bib | .pdf ]
[73] M. S. Eldred, C. Webster, and P. Constantine. Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos. In 10th AIAA Non-Deterministic Approaches Conference, Schaumburg, pages 1--22, 2008. [ bib | DOI | .pdf ]
[74] P. Constantine, A. Doostan, and G. Iaccarino. A hybrid uncertainty propagation scheme for convective heat transfer problems. In 10th AIAA Non-Deterministic Approaches Conference, Schaumburg, pages 1--9, 2008. [ bib | DOI | .pdf ]
[75] P. Constantine. A primer on stochastic Galerkin methods. Stanford Technical Report, 2007. [ bib | .pdf ]
[76] P. G. Constantine and D. F. Gleich. Using polynomial chaos to compute the influence of multiple random surfers in the PageRank model. In 5th Workshop on Algorithms and Models for the Web Graph (WAW), San Diego, pages 82--95, 2007. [ bib | DOI | .pdf ]
[77] T. Chantrasmi, P. G. Constantine, N. Etemadi, G. Iaccarino, and Q. Wang. Uncertainty quantification in simple linear and nonlinear problems. Center for Turbulence Research Annual Research Briefs, pages 3--16, 2006. [ bib | .pdf ]

This file was generated by bibtex2html 1.99.