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Paul G. Constantine
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Books and Theses
- 2015
- [b1]Paul G. Constantine:
Active Subspaces - Emerging Ideas for Dimension Reduction in Parameter Studies. SIAM spotlights 2, SIAM 2015, ISBN 978-1-611-97385-3, pp. I-IX, 1-100
Journal Articles
- 2021
- [j26]Jeffrey M. Hokanson
, Paul G. Constantine
:
A Lipschitz Matrix for Parameter Reduction in Computational Science. SIAM J. Sci. Comput. 43(3): A1858-A1880 (2021) - 2020
- [j25]Andrea F. Cortesi, Paul G. Constantine
, Thierry E. Magin
, Pietro Marco Congedo:
Forward and backward uncertainty quantification with active subspaces: Application to hypersonic flows around a cylinder. J. Comput. Phys. 407: 109079 (2020) - [j24]Andrew Glaws, Paul G. Constantine
, R. Dennis Cook:
Inverse regression for ridge recovery: a data-driven approach for parameter reduction in computer experiments. Stat. Comput. 30(2): 237-253 (2020) - [j23]Olivier Zahm
, Paul G. Constantine
, Clémentine Prieur, Youssef M. Marzouk:
Gradient-Based Dimension Reduction of Multivariate Vector-Valued Functions. SIAM J. Sci. Comput. 42(1): A534-A558 (2020) - 2019
- [j22]Andrew G. Salinger, Paul G. Constantine
:
Gauss-Christoffel quadrature for inverse regression: applications to computer experiments. Stat. Comput. 29(3): 429-447 (2019) - [j21]Andrew G. Salinger, Paul G. Constantine
:
Gaussian Quadrature and Polynomial Approximation for One-Dimensional Ridge Functions. SIAM J. Sci. Comput. 41(5): S106-S128 (2019) - 2018
- [j20]Paul Diaz
, Paul G. Constantine
, Kelsey Kalmbach, Eric W. Jones
, Stephen Pankavich:
A modified SEIR model for the spread of Ebola in Western Africa and metrics for resource allocation. Appl. Math. Comput. 324: 141-155 (2018) - [j19]Jeffrey M. Hokanson
, Paul G. Constantine
:
Data-Driven Polynomial Ridge Approximation Using Variable Projection. SIAM J. Sci. Comput. 40(3) (2018) - 2017
- [j18]Paul G. Constantine
, Paul Diaz:
Global sensitivity metrics from active subspaces. Reliab. Eng. Syst. Saf. 162: 1-13 (2017) - [j17]Paul G. Constantine
, Alireza Doostan:
Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model. Stat. Anal. Data Min. 10(5): 243-262 (2017) - [j16]Andrew G. Salinger, Paul G. Constantine
, John N. Shadid, Timothy Wildey
:
Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. Stat. Anal. Data Min. 10(5): 312-325 (2017) - 2016
- [j15]Jennifer L. Jefferson, James M. Gilbert, Paul G. Constantine, Reed M. Maxwell:
Reprint of: Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. Comput. Geosci. 90: 78-89 (2016) - [j14]Paul G. Constantine
, Ryan Howard, Andrew G. Salinger, Zachary Grey, Paul Diaz, Leslie Fletcher:
Python Active-subspaces Utility Library. J. Open Source Softw. 1(5): 79 (2016) - [j13]Paul G. Constantine
, Carson Kent, Tan Bui-Thanh
:
Accelerating Markov Chain Monte Carlo with Active Subspaces. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j12]Jennifer L. Jefferson, James M. Gilbert
, Paul G. Constantine
, Reed M. Maxwell:
Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. Comput. Geosci. 83: 127-138 (2015) - [j11]Paul G. Constantine
, Michael Emory, Johan Larsson, Gianluca Iaccarino:
Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet. J. Comput. Phys. 302: 1-20 (2015) - [j10]Paul G. Constantine
, Brian R. Zaharatos, Mark Campanelli:
Discovering an active subspace in a single-diode solar cell model. Stat. Anal. Data Min. 8(5-6): 264-273 (2015) - 2014
- [j9]Paul G. Constantine
, Eric Dow, Qiqi Wang:
Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces. SIAM J. Sci. Comput. 36(4) (2014) - [j8]Paul G. Constantine
, David F. Gleich
, Yangyang Hou
, Jeremy A. Templeton:
Model Reduction With MapReduce-enabled Tall and Skinny Singular Value Decomposition. SIAM J. Sci. Comput. 36(5) (2014) - [j7]Paul G. Constantine
, Eric Dow, Qiqi Wang:
Erratum: Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces. SIAM J. Sci. Comput. 36(6) (2014) - 2012
- [j6]Paul G. Constantine
, Eric T. Phipps:
A Lanczos method for approximating composite functions. Appl. Math. Comput. 218(24): 11751-11762 (2012) - [j5]Troy D. Butler, Paul G. Constantine
, Tim Wildey
:
A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods. SIAM J. Matrix Anal. Appl. 33(1): 195-209 (2012) - [j4]Paul G. Constantine
, Qiqi Wang:
Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems. SIAM J. Sci. Comput. 34(4) (2012) - 2011
- [j3]Paul G. Constantine, David F. Gleich, Gianluca Iaccarino:
A Factorization of the Spectral Galerkin System for Parameterized Matrix Equations: Derivation and Applications. SIAM J. Sci. Comput. 33(5): 2995-3009 (2011) - 2010
- [j2]Paul G. Constantine
, David F. Gleich, Gianluca Iaccarino:
Spectral Methods for Parameterized Matrix Equations. SIAM J. Matrix Anal. Appl. 31(5): 2681-2699 (2010) - 2009
- [j1]Paul G. Constantine
, David F. Gleich:
Random Alpha PageRank. Internet Math. 6(2): 189-236 (2009)
Conference and Workshop Papers
- 2017
- [c5]Armin Eftekhari, Michael B. Wakin, Ping Li, Paul G. Constantine, Rachel A. Ward
:
Learning the second-moment matrix of a smooth function from point samples. ACSSC 2017: 671-675 - 2015
- [c4]Paul G. Constantine, Armin Eftekhari, Michael B. Wakin:
Computing active subspaces efficiently with gradient sketching. CAMSAP 2015: 353-356 - 2012
- [c3]Paul G. Constantine, David F. Gleich:
Distinguishing signal from noise in an SVD of simulation data. ICASSP 2012: 5333-5336 - 2010
- [c2]David F. Gleich
, Paul G. Constantine, Abraham D. Flaxman, Asela Gunawardana:
Tracking the random surfer: empirically measured teleportation parameters in PageRank. WWW 2010: 381-390 - 2007
- [c1]Paul G. Constantine, David F. Gleich:
Using Polynomial Chaos to Compute the Influence of Multiple Random Surfers in the PageRank Model. WAW 2007: 82-95
Informal and Other Publications
- 2019
- [i2]Jeffrey M. Hokanson, Paul G. Constantine:
The Lipschitz Matrix: A Tool for Parameter Space Dimension Reduction. CoRR abs/1906.00105 (2019) - 2016
- [i1]Kerrek Stinson, David F. Gleich, Paul G. Constantine:
A randomized algorithm for enumerating zonotope vertices. CoRR abs/1602.06620 (2016)
Coauthor Index
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