@article{backus2012risk, author = {Backus, G. and Boslough, M. and Brown, T. and Cai, X. and Conrad, S. and Constantine, P. and Dalbey, K. and Debusschere, B. and Fields, R. and Hart, D. and Kalinina, E. and Kerstein, A. and Levy, M. and Lowry, T. and Malczynski, L. and Najm, H. and Overfelt, J. and Parks, M. J. and Peplinski, W. J. and Safta, C. and Sargsyan, K. and Stubblefield, W. and Taylor, M. A. and Tidwell, V. and Trucano, T. and Villa, D.}, title = {{Risk assessment of climate systems for national security}}, journal = {Sandia Report SAND2012-10554}, year = {2012}, pages = {1-121}, doi = {10.2172/1088102}, file = {docs/backus2012risk.pdf} }

@article{bauerheim2014uncertainty, author = {Bauerheim, M. and Ndiaye, A. and Constantine, P. and Iaccarino, G. and Moreau, S. and Nicoud, F.}, title = {{Uncertainty quantification of thermo-acoustic instabilities in annular combustors}}, journal = {Center for Turbulence Research Proceedings of the Summer Program}, year = {2014}, pages = {209-218}, url = {https://web.stanford.edu/group/ctr/Summer/SP14/06_Combustion/11_bauerheim.pdf} }

@article{bauerheim2016symmetry, author = {Bauerheim, M. and Ndiaye, A. and Constantine, P. and Moreau, S. and Nicoud, F.}, title = {{Symmetry breaking of azimuthal thermoacoustic modes: The {UQ} perspective}}, journal = {Journal of Fluid Mechanics}, year = {2016}, volume = {789}, pages = {534-566}, doi = {10.1017/jfm.2015.730}, file = {docs/bauerheim2016symmetry.pdf} }

@article{butler2012posteriori, author = {Butler, T. and Constantine, P. G. and Wildey, T.}, title = {{A posteriori error analysis of parameterized linear systems using spectral methods}}, journal = {SIAM Journal on Matrix Analysis and Applications}, year = {2012}, volume = {33}, number = {1}, pages = {195-209}, doi = {10.1137/110840522}, file = {docs/butler2012posteriori.pdf} }

@article{chantrasmi2006uncertainty, author = {Chantrasmi, T. and Constantine, P. G. and Etemadi, N. and Iaccarino, G. and Wang, Q.}, title = {{Uncertainty quantification in simple linear and nonlinear problems}}, journal = {Center for Turbulence Research Annual Research Briefs}, year = {2006}, pages = {3-16}, url = {https://web.stanford.edu/group/ctr/ResBriefs06/1_UQ.pdf} }

@inproceedings{chen2011conditional, author = {Chen, H. and Wang, Q. and Hu, R. and Constantine, P.}, title = {{Conditional sampling and experiment design for quantifying manufacturing error of transonic airfoil}}, booktitle = {49th AIAA Aerospace Sciences Meeting, Orlando}, year = {2011}, pages = {1-17}, doi = {10.2514/6.2011-658}, file = {docs/chen2011conditional.pdf} }

@inproceedings{constantine2007using, author = {Constantine, P. G. and Gleich, D. F.}, title = {{Using polynomial chaos to compute the influence of multiple random surfers in the {PageRank} model}}, booktitle = {5th Workshop on Algorithms and Models for the Web Graph (WAW), San Diego}, year = {2007}, pages = {82-95}, doi = {10.1007/978-3-540-77004-6_7}, file = {docs/constantine2007using.pdf} }

@article{constantine2010spectral, author = {Constantine, P. G. and Gleich, D. F. and Iaccarino, G.}, title = {{Spectral methods for parameterized matrix equations}}, journal = {SIAM Journal on Matrix Analysis and Applications}, year = {2010}, volume = {31}, number = {5}, pages = {2681-2699}, doi = {10.1137/090755965}, file = {docs/constantine2010spectral.pdf} }

@article{constantine2011factorization, author = {Constantine, P. G. and Gleich, D. F. and Iaccarino, G.}, title = {{A factorization of the spectral Galerkin system for parameterized matrix equations: Derivation and applications}}, journal = {SIAM Journal on Scientific Computing}, year = {2011}, volume = {33}, number = {5}, pages = {2995-3009}, doi = {10.1137/100799046}, file = {docs/constantine2011factorization.pdf} }

@phdthesis{constantine2009spectral, author = {Constantine, P. G.}, title = {Spectral Methods for Parameterized Matrix Equations}, year = {2009}, url = {https://searchworks.stanford.edu/view/8496154}, school = {Stanford University}, file = {docs/constantine2009spectral.pdf} }

@article{constantine2010surrogate, author = {Constantine, P. G. and Doostan, A. and Wang, Q. and Iaccarino, G.}, title = {{A surrogate accelerated Bayesian inverse analysis of the HyShot II supersonic combustion data}}, journal = {Center for Turbulence Research Proceedings of the Summer Program}, year = {2010}, pages = {5-14}, url = {https://web.stanford.edu/group/ctr/Summer/SP10/1_01_constantine.pdf} }

@inproceedings{constantine2011surrogate, author = {Constantine, P. and Wang, Q. and Doostan, A. and Iaccarino, G.}, title = {{A surrogate accelerated {Bayesian} inverse analysis of the {HyShot II} flight data}}, booktitle = {52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver}, year = {2011}, pages = {1-9}, doi = {10.2514/6.2011-2037}, file = {docs/constantine2011surrogate.pdf} }

@article{constantine2012lanczos, author = {Constantine, P. G. and Phipps, E. T.}, title = {{A Lanczos method for approximating composite functions}}, journal = {Applied Mathematics and Computation}, year = {2012}, volume = {218}, number = {24}, pages = {11751-11762}, doi = {10.1016/j.amc.2012.05.009}, file = {docs/constantine2012lanczos.pdf} }

@article{constantine2007primer, author = {Constantine, P.}, title = {{A primer on stochastic Galerkin methods}}, journal = {Stanford Technical Report}, year = {2007}, file = {docs/constantine2007primer.pdf} }

@inproceedings{constantine2008hybrid, author = {Constantine, P. and Doostan, A. and Iaccarino, G.}, title = {{A hybrid uncertainty propagation scheme for convective heat transfer problems}}, booktitle = {10th AIAA Non-Deterministic Approaches Conference, Schaumburg}, year = {2008}, pages = {1-9}, doi = {10.2514/6.2008-1723}, file = {docs/constantine2008hybrid.pdf} }

@inproceedings{constantine2012distinguishing, author = {Constantine, P. G. and Gleich, D. F.}, title = {{Distinguishing signal from noise in an SVD of simulation data}}, booktitle = {IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Kyoto}, year = {2012}, pages = {5333-5336}, doi = {10.1109/ICASSP.2012.6289125}, file = {docs/constantine2012distinguishing.pdf} }

@article{constantine2012method, author = {Constantine, P. and Wang, Q. and Iaccarino, G.}, title = {{A method for spatial sensitivity analysis}}, journal = {Center for Turbulence Research Annual Research Briefs}, year = {2012}, pages = {323-331}, url = {https://web.stanford.edu/group/ctr/ResBriefs/2012/28_paulcon2.pdf} }

@article{constantine2014model, author = {Constantine, P. G. and Gleich, D. F. and Hou, Y. and Templeton, J.}, title = {{Model reduction with MapReduce-enabled tall and skinny singular value decomposition}}, journal = {SIAM Journal on Scientific Computing}, year = {2014}, volume = {36}, number = {5}, pages = {S166-S191}, doi = {10.1137/130925219}, file = {docs/constantine2014model.pdf} }

@article{constantine2012reduced, author = {Constantine, P. and Iaccarino, G.}, title = {{Reduced order models for parameterized hyperbolic conservations laws with shock reconstruction}}, journal = {Center for Turbulence Research Annual Research Briefs}, year = {2012}, pages = {115-126}, url = {https://web.stanford.edu/group/ctr/ResBriefs/2012/10_paulcon1.pdf} }

@article{constantine2014active, author = {Constantine, P. G. and Dow, E. and Wang, Q.}, title = {{Active subspace methods in theory and practice: Applications to kriging surfaces}}, journal = {SIAM Journal on Scientific Computing}, year = {2014}, volume = {36}, number = {4}, pages = {A1500-A1524}, doi = {10.1137/130916138}, file = {docs/constantine2014active.pdf} }

@article{constantine2015computingmc, author = {Constantine, P. G. and Gleich, D. F.}, title = {{Computing active subspaces with {Monte Carlo}}}, year = {2015}, eprint = {1408.0545}, file = {docs/constantine2015computingmc.pdf} }

@article{constantine2014efficient, author = {Constantine, P. G. and Phipps, E. T. and Wildey, T. M.}, title = {{Efficient uncertainty propagation for network multiphysics systems}}, journal = {International Journal for Numerical Methods in Engineering}, year = {2014}, volume = {99}, number = {3}, pages = {183-202}, doi = {10.1002/nme.4667}, file = {docs/constantine2014efficient.pdf} }

@inproceedings{constantine2015computing, author = {Constantine, P. G. and Eftekhari, A. and Wakin, M. B.}, title = {{Computing active subspaces efficiently with gradient sketching}}, booktitle = {IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Cancun}, year = {2015}, pages = {353-356}, doi = {10.1109/CAMSAP.2015.7383809}, file = {docs/constantine2015computing.pdf} }

@article{constantine2015exploiting, author = {Constantine, P. G. and Emory, M. and Larsson, J. and Iaccarino, G.}, title = {{Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet}}, journal = {Journal of Computational Physics}, year = {2015}, volume = {302}, pages = {1-20}, doi = {10.1016/j.jcp.2015.09.001}, file = {docs/constantine2015exploiting.pdf} }

@article{constantine2016accelerating, author = {Constantine, P. G. and Kent, C. and Bui-Thanh, T.}, title = {{Accelerating Markov chain Monte Carlo with active subspaces}}, journal = {SIAM Journal on Scientific Computing}, year = {2016}, volume = {38}, number = {5}, pages = {A2779-A2805}, doi = {10.1137/15M1042127}, file = {docs/constantine2016accelerating.pdf} }

@article{constantine2016python, author = {Constantine, P. and Howard, R. and Glaws, A. and Grey, Z. and Diaz, P. and Fletcher, L.}, title = {{Python Active-subspaces Utility Library}}, journal = {The Journal of Open Source Software}, year = {2016}, volume = {1}, number = {5}, doi = {10.21105/joss.00079}, file = {docs/constantine2016python.pdf} }

@article{constantine2017data, author = {Constantine, P. G. and del Rosario, Z. and Iaccarino, G.}, title = {{Data-driven dimensional analysis: algorithms for unique and relevant dimensionless groups}}, year = {2017}, eprint = {1708.04303}, file = {docs/constantine2017data.pdf} }

@article{constantine2017near, author = {Constantine, P. G. and Eftekhari, A. and Hokanson, J. and Ward, R.}, title = {{A near-stationary subspace for ridge approximation}}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2017}, volume = {326}, pages = {402-421}, doi = {10.1016/j.cma.2017.07.038}, file = {docs/constantine2017near.pdf} }

@article{constantine2017time, author = {Constantine, P. G. and Doostan, A.}, title = {{Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model}}, journal = {Statistical Analysis and Data Mining: The ASA Data Science Journal}, year = {2017}, volume = {10}, number = {5}, pages = {243-262}, doi = {10.1002/sam.11347}, file = {docs/constantine2017time.pdf} }

@book{constantine2015active, author = {Constantine, P. G.}, title = {{Active Subspaces: Emerging Ideas in Dimension Reduction for Parameter Studies}}, year = {2015}, publisher = {SIAM, Philadelphia}, doi = {10.1137/1.9781611973860}, file = {docs/constantine2015active-ch1.pdf} }

@article{constantine2017global, author = {Constantine, P. G. and Diaz, P.}, title = {{Global sensitivity metrics from active subspaces}}, journal = {Reliability Engineering \& System Safety}, year = {2017}, volume = {162}, pages = {1-13}, doi = {10.1016/j.ress.2017.01.013}, file = {docs/constantine2017global.pdf} }

@inproceedings{eldred2008evaluation, author = {Eldred, M. S. and Webster, C. and Constantine, P.}, title = {{Evaluation of non-intrusive approaches for {Wiener-Askey} generalized polynomial chaos}}, booktitle = {10th AIAA Non-Deterministic Approaches Conference, Schaumburg}, year = {2008}, pages = {1-22}, doi = {10.2514/6.2008-1892}, file = {docs/eldred2008evaluation.pdf} }

@article{field2013statistical, author = {Field Jr., R. V. and Constantine, P. and Boslough, M.}, title = {{Statistical surrogate models for prediction of high-consequence climate change}}, journal = {International Journal for Uncertainty Quantification}, year = {2013}, volume = {3}, number = {4}, pages = {341-355}, doi = {10.1615/Int.J.UncertaintyQuantification.2012003829}, file = {docs/field2013statistical.pdf} }

@article{gilbert2016global, author = {Gilbert, J. and Jefferson, J. and Constantine, P. G. and Maxwell, R.}, title = {{Global spatial sensitivity of runoff to subsurface permeability using the active subspace method}}, journal = {Advances in Water Resources}, year = {2016}, volume = {92}, pages = {30-42}, doi = {10.1016/j.advwatres.2016.03.020}, file = {docs/gilbert2016global.pdf} }

@article{glaws2017dimension, author = {Glaws, A. and Constantine, P. G. and Shadid, J. and Wildey, T. M.}, title = {{Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces}}, journal = {Statistical Analysis and Data Mining: The ASA Data Science Journal}, year = {2017}, volume = {10}, number = {5}, pages = {312-325}, doi = {10.1002/sam.11355}, file = {docs/glaws2017dimension.pdf} }

@article{glaws2017inverse, author = {Glaws, A. T. and Constantine, P. G. and Cook, R. D.}, title = {{Inverse regression for ridge recovery: A data-driven approach for parameter space dimension reduction in computational science}}, year = {2017}, eprint = {1702.02227}, file = {docs/glaws2017inverse.pdf} }

@inproceedings{gleich2010tracking, author = {Gleich, D. F. and Constantine, P. G. and Flaxman, A. D. and Gunawardana, A.}, title = {{Tracking the random surfer: Empirically measured teleportation parameters in {PageRank}}}, booktitle = {19th International Conference on World Wide Web (WWW '10), Raleigh}, year = {2010}, pages = {381-390}, doi = {10.1145/1772690.1772730}, file = {docs/gleich2010tracking.pdf} }

@incollection{gleich2015ranking, author = {Gleich, D. F. and Constantine, P. G.}, title = {{Ranking web pages}}, booktitle = {The Princeton Companion to Applied Mathematics}, year = {2015}, editor = {Nicholas J. Higham}, publisher = {Princeton University Press}, pages = {755-757}, file = {docs/gleich2015ranking.pdf} }

@inproceedings{grey2017active, author = {Grey, Z. and Constantine, P.}, title = {{Active subspaces of airfoil shape parameterizations}}, booktitle = {58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Grapevine, TX}, year = {2017}, pages = {1-18}, doi = {10.2514/6.2017-0507}, file = {docs/grey2017active.pdf} }

@article{grey2018active, author = {Grey, Z. J. and Constantine, P. G.}, title = {{Active subspaces of airfoil shape parameterizations}}, journal = {AIAA Journal}, year = {2018}, volume = {56}, number = {5}, pages = {2003-2017}, doi = {10.2514/1.J056054}, file = {docs/grey2018active.pdf} }

@article{hokanson2018data, author = {Hokanson, J. M. and Constantine, P. G.}, title = {{Data-driven polynomial ridge approximation using variable projection}}, journal = {SIAM Journal on Scientific Computing}, year = {2018}, volume = {40}, number = {3}, pages = {A1566-A1589}, doi = {10.1137/17M1117690}, file = {docs/hokanson2018data.pdf} }

@article{constantine2009hybrid, author = {Constantine, P. G. and Doostan, A. and Iaccarino, G.}, title = {{A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions}}, journal = {International Journal for Numerical Methods in Engineering}, year = {2009}, volume = {80}, number = {6-7}, pages = {868-880}, doi = {10.1002/nme.2564}, file = {docs/constantine2009hybrid.pdf} }

@inproceedings{iaccarino2009large, author = {Iaccarino, G. and Constantine, P.}, title = {{Large eddy simulations of flow around a cylinder with uncertain wall heating}}, booktitle = {47th AIAA Aerospace Sciences Meeting, Orlando}, year = {2009}, pages = {1-12}, doi = {10.2514/6.2009-975}, file = {docs/iaccarino2009large.pdf} }

@inproceedings{constantine2013quantification, author = {Constantine, P. G. and Emory, M. and Palacios, F. and Kseib, N. and Iaccarino, G.}, title = {{Quantification of margins and uncertainties using an active subspace method for approximating bounds}}, booktitle = {11th International Conference on Structural Safety \& Reliability, New York, NY}, year = {2013}, pages = {823-827}, file = {docs/constantine2013quantification.pdf} }

@article{jefferson2015active, author = {Jefferson, J. L. and Gilbert, J. M. and Constantine, P. G. and Maxwell, R. M.}, title = {{Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model}}, journal = {Computers \& Geosciences}, year = {2015}, volume = {83}, pages = {127-138}, doi = {10.1016/j.cageo.2015.07.001}, file = {docs/jefferson2015active.pdf} }

@article{jefferson2017exploring, author = {Jefferson, J. L. and Maxwell, R. M. and Constantine, P. G.}, title = {{Exploring the sensitivity of photosynthesis and stomatal resistance parameters in a land surface model}}, journal = {Journal of Hydrometeorology}, year = {2017}, volume = {18}, number = {3}, pages = {897-915}, doi = {10.1175/JHM-D-16-0053.1}, file = {docs/jefferson2017exploring.pdf} }

@article{lucor2012comparison, author = {Lucor, D. and Witteveen, J. and Constantine, P. and Schiavazzi, D. and Iaccarino, G.}, title = {{Comparison of adaptive uncertainty quantification approaches for shock wave-dominated flows}}, journal = {Center for Turbulence Research Proceedings of the Summer Program}, year = {2012}, pages = {219-228}, url = {https://web.stanford.edu/group/ctr/Summer/SP12/03.04_lucor.pdf} }

@inproceedings{lukaczyk2014active, author = {Lukaczyk, T. W. and Constantine, P. and Palacios, F. and Alonso, J. J.}, title = {{Active subspaces for shape optimization}}, booktitle = {10th AIAA Multidisciplinary Design Optimization Conference, National Harbor}, year = {2014}, pages = {1-18}, doi = {10.2514/6.2014-1171}, file = {docs/lukaczyk2014active.pdf} }

@article{marxen2012statistical, author = {Marxen, O. and Serino, G. and Pinna, F. and Constantine, P. and Gorle, C. and Iaccarino, G.}, title = {{Statistical inverse analysis and stochastic modeling of transition}}, journal = {Center for Turbulence Research Proceedings of the Summer Program}, year = {2012}, pages = {189-198}, url = {https://web.stanford.edu/group/ctr/Summer/SP12/03.01_marxen.pdf} }

@inproceedings{othmer2016active, author = {Othmer, C. and Lukaczyk, T. W. and Constantine, P. and Alonso, J. J.}, title = {{On active subspaces in car aerodynamics}}, booktitle = {17th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Washington D.C.}, year = {2016}, pages = {1-13}, doi = {10.2514/6.2016-4294}, file = {docs/othmer2016active.pdf} }

@article{pecnik2008probabilistic, author = {Pe\v{c}nik, R. and Constantine, P. G. and Ham, F. and Iaccarino, G.}, title = {{A probabilistic framework for high-speed flow simulations}}, journal = {Center for Turbulence Research Annual Research Briefs}, year = {2008}, pages = {3-17}, url = {https://web.stanford.edu/group/ctr/ResBriefs08/1_pecnik_new.pdf} }

@article{constantine2009random, author = {Constantine, P. G. and Gleich, D. F.}, title = {{Random alpha PageRank}}, journal = {Internet Mathematics}, year = {2009}, volume = {6}, number = {2}, pages = {189-236}, doi = {10.1080/15427951.2009.10129185}, file = {docs/constantine2009random.pdf} }

@article{constantine2012residual, author = {Constantine, P. G. and Wang, Q.}, title = {{Residual minimizing model interpolation for parameterized nonlinear dynamical systems}}, journal = {SIAM Journal on Scientific Computing}, year = {2012}, volume = {34}, number = {4}, pages = {A2118-A2144}, doi = {10.1137/100816717}, file = {docs/constantine2012residual.pdf} }

@inproceedings{rosario2017developing, author = {del Rosario, Z. and Constantine, P. and Iaccarino, G.}, title = {{Developing design insight through active subspaces}}, booktitle = {19th AIAA Non-Deterministic Approaches Conference, Grapevine, TX}, year = {2017}, pages = {1-16}, doi = {10.2514/6.2017-1090}, file = {docs/rosario2017developing.pdf} }

@article{constantine2015discovering, author = {Constantine, P. G. and Zaharatos, B. and Campanelli, M.}, title = {{Discovering an active subspace in a single-diode solar cell model}}, journal = {Statistical Analysis and Data Mining: The ASA Data Science Journal}, year = {2015}, volume = {8}, number = {5-6}, pages = {264-273}, doi = {10.1002/sam.11281}, file = {docs/constantine2015discovering.pdf} }

@inproceedings{alonso2017scalable, author = {Alonso, J. J. and Eldred, M. S. and Constantine, P. and Duraisamy, K. and Farhat, C. and Iaccarino, G. and Jakeman, J.}, title = {{Scalable environment for quantification of uncertainty and optimization in industrial applications (SEQUOIA)}}, booktitle = {19th AIAA Non-Deterministic Approaches Conference, Grapevine, TX}, year = {2017}, pages = {1-19}, doi = {10.2514/6.2017-1327}, file = {docs/alonso2017scalable.pdf} }

@inproceedings{seshadri2014aggressive, author = {Seshadri, P. and Constantine, P. and Iaccarino, G.}, title = {{Aggressive design under uncertainty}}, booktitle = {16th AIAA Non-Deterministic Approaches Conference, National Harbor}, year = {2014}, pages = {1-12}, doi = {10.2514/6.2014-1007}, file = {docs/seshadri2014aggressive.pdf} }

@inproceedings{seshadri2013sparse, author = {Seshadri, P. and Constantine, P. and Gonnet, P. and Parks, G. T.}, title = {{Sparse robust rational interpolation for parameter-dependent aerospace models}}, booktitle = {54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Boston, MA}, year = {2013}, pages = {1-13}, doi = {10.2514/6.2013-1680}, file = {docs/seshadri2013sparse.pdf} }

@article{seshadri2016density, author = {Seshadri, P. and Constantine, P. G. and Iaccarino, G. and Parks, G. T.}, title = {{A density-matching approach for optimization under uncertainty}}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {305}, pages = {562-578}, doi = {10.1016/j.cma.2016.03.006}, file = {docs/seshadri2016density.pdf} }

@article{constantine2012sparse, author = {Constantine, P. G. and Eldred, M. S. and Phipps, E. T.}, title = {{Sparse pseudospectral approximation method}}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2012}, volume = {229-232}, number = {0}, pages = {1-12}, doi = {10.1016/j.cma.2012.03.019}, file = {docs/constantine2012sparse.pdf} }

@article{stinson2016randomized, author = {Stinson, K. and Gleich, D. F. and Constantine, P. G.}, title = {{A randomized algorithm for enumerating zonotope vertices}}, year = {2016}, eprint = {1602.06620}, file = {docs/stinson2016randomized.pdf} }

@inproceedings{constantine2011tall, author = {Constantine, P. G. and Gleich, D. F.}, title = {{Tall and skinny {QR} factorizations in {MapReduce} architectures}}, booktitle = {2nd International Workshop on MapReduce and Its Applications, San Jose}, year = {2011}, pages = {43-50}, doi = {10.1145/1996092.1996103}, file = {docs/constantine2011tall.pdf} }

@article{urzay2012uncertainty, author = {Urzay, J. and Kseib, N. and Constantine, P. G. and Davidson, D. F. and Iaccarino, G.}, title = {{Uncertainty-quantifying models for chemical-kinetic rates}}, journal = {Center for Turbulence Research Annual Research Briefs}, year = {2012}, pages = {3-16}, url = {https://web.stanford.edu/group/ctr/ResBriefs/2012/01_urzay1.pdf} }

@article{seshadri2018turbomachinery, author = {Seshadri, P. and Shahpar, S. and Constantine, P. G. and Parks, G. T. and Adams, M.}, title = {{Turbomachinery active subspace performance maps}}, journal = {Journal of Turbomachinery}, year = {2018}, volume = {140}, number = {4}, pages = {041003-11}, doi = {10.1115/1.4038839}, file = {docs/seshadri2018turbomachinery.pdf} }

@article{diaz2018modified, author = {Diaz, P. and Constantine, P. and Kalmbach, K. and Jones, E. and Pankavich, S.}, title = {{A modified SEIR model for the spread of Ebola in Western Africa and metrics for resource allocation}}, journal = {Applied Mathematics and Computation}, year = {2018}, volume = {324}, pages = {141-155}, doi = {10.1016/j.amc.2017.11.039}, file = {docs/diaz2018modified.pdf} }

@inproceedings{grey2018characterizing, author = {Grey, Z. and Constantine, P.}, title = {{Characterizing subspaces of engineering shapes using differential geometry}}, booktitle = {AIAA Non-Deterministic Approaches Conference, AIAA SciTech Forum, Kissimmee, FL}, year = {2018}, pages = {1-20}, doi = {10.2514/6.2018-1176}, file = {docs/grey2018characterizing.pdf} }

@article{zahm2018gradient, author = {Zahm, O. and Constantine, P. and Prieur, C. and Marzouk, Y.}, title = {{Gradient-based dimension reduction of multivariate vector-valued functions}}, year = {2018}, eprint = {1801.07922}, file = {docs/zahm2018gradient.pdf} }

@article{glaws2018gauss, author = {Glaws, A. and Constantine, P. G.}, title = {{Gauss-Christoffel quadrature for inverse regression: applications to computer experiments}}, journal = {Statistics and Computing}, year = {2018}, pages = {1-19}, doi = {10.1007/s11222-018-9816-4}, file = {docs/glaws2018gauss.pdf} }

@article{eftekhari2018learning, author = {Eftekhari, A. and Wakin, M. B. and Li, P. and Constantine, P. G.}, title = {{Learning the second-moment matrix of a smooth function from point samples}}, year = {2018}, eprint = {1612.06339}, file = {docs/eftekhari2018learning.pdf} }

@article{cortesi2017forward, author = {Cortesi, A. and Constantine, P. and Magin, T. and Congedo, P. M.}, title = {{Forward and backward uncertainty quantification with active subspaces: application to hypersonic flows around a cylinder}}, journal = {hal-01592591}, year = {2017}, url = {https://hal.inria.fr/hal-01592591/}, file = {docs/cortesi2017forward.pdf} }

@inproceedings{constantine2018ridge, author = {Constantine, P. G. and Hokanson, J. M. and Kouri, D. P.}, title = {{Ridge approximation and dimension reduction for an acoustic scattering model}}, booktitle = {International Applied Computational Electromagnetics Society Symposium (ACES), Denver, CO}, year = {2018}, pages = {1-2}, doi = {10.23919/ROPACES.2018.8364321}, file = {docs/constantine2018ridge.pdf} }

@inproceedings{eftekhari2017learning, author = {Eftekhari, A. and Wakin, M. B. and Li, P. and Constantine, P. G. and Ward, R. A.}, title = {{Learning the second-moment matrix of a smooth function from point samples}}, booktitle = {51st Asilomar Conference on Signals, Systems, and Computers, Asilomar, CA}, year = {2017}, pages = {671-675}, doi = {10.1109/ACSSC.2017.8335427}, file = {docs/eftekhari2017learning.pdf} }

@article{wu2018characterization, author = {Wu, D. and Chen, Y. and Manna, S. and Talley, K. and Zakutayev, A. and Brennecka, G. and Ciobanu, C. V. and Constantine, P. and Packard, C. E.}, title = {{Characterization of elastic modulus across the (Al1-xScx)N system using DFT and substrate-effect-corrected nanoindentation}}, journal = {IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control}, year = {2018}, pages = {1-9}, doi = {10.1109/TUFFC.2018.2862240}, file = {docs/wu2018characterization.pdf} }

@inproceedings{eldred2008design, author = {Eldred, M. and Webster, C. and Constantine, P.}, title = {{Design under uncertainty employing stochastic expansion methods}}, booktitle = {12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, British Columbia, Canada.}, year = {2008}, pages = {1-22}, doi = {10.2514/6.2008-6001}, file = {docs/eldred2008design.pdf} }

@article{glaws2018lanczos, author = {Glaws, A. and Constantine, P. G.}, title = {{A Lanczos-Stieltjes method for one-dimensional ridge function approximation and integration}}, year = {2018}, eprint = {1808.02095}, file = {docs/glaws2018lanczos.pdf} }

@article{schuster2017exact, author = {Schuster, I. and Constantine, P. G. and Sullivan, T. J.}, title = {{Exact active subspace Metropolis-Hastings, with applications to the Lorenz-96 system}}, year = {2017}, eprint = {1712.02749}, file = {docs/schuster2017exact.pdf} }

@article{constantine2014erratum, author = {Constantine, P. G. and Dow, E. and Wang, Q.}, title = {{Erratum: Active subspace methods in theory and practice: applications to kriging surfaces}}, journal = {SIAM Journal on Scientific Computing}, year = {2014}, volume = {36}, number = {6}, pages = {A3030-A3031}, doi = {10.1137/140983598}, file = {docs/constantine2014erratum.pdf} }

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