Using Polynomial Chaos to Compute the Influence of Multiple Random Surfers in the PageRank Model. - Paul G. Constantine; David F. Gleich (WAW, 2007)

Random Alpha PageRank. - Paul G. Constantine; David F. Gleich (Internet Math., 2009)

Tracking the random surfer: empirically measured teleportation parameters in PageRank. - David F. Gleich; Paul G. Constantine; Abraham D. Flaxman; Asela Gunawardana (WWW, 2010)

Spectral Methods for Parameterized Matrix Equations. - Paul G. Constantine; David F. Gleich; Gianluca Iaccarino (SIAM J. Matrix Anal. Appl., 2010)

A Factorization of the Spectral Galerkin System for Parameterized Matrix Equations: Derivation and Applications. - Paul G. Constantine; David F. Gleich; Gianluca Iaccarino (SIAM J. Sci. Comput., 2011)

Distinguishing signal from noise in an SVD of simulation data. - Paul G. Constantine; David F. Gleich (ICASSP, 2012)

A Lanczos method for approximating composite functions. - Paul G. Constantine; Eric T. Phipps (Appl. Math. Comput., 2012)

A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods. - Troy D. Butler; Paul G. Constantine; Tim Wildey (SIAM J. Matrix Anal. Appl., 2012)

Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems. - Paul G. Constantine; Qiqi Wang 001 (SIAM J. Sci. Comput., 2012)

Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces. - Paul G. Constantine; Eric Dow; Qiqi Wang 001 (SIAM J. Sci. Comput., 2014)

Erratum: Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces. - Paul G. Constantine; Eric Dow; Qiqi Wang 001 (SIAM J. Sci. Comput., 2014)

Model Reduction With MapReduce-enabled Tall and Skinny Singular Value Decomposition. - Paul G. Constantine; David F. Gleich; Yangyang Hou; Jeremy A. Templeton (SIAM J. Sci. Comput., 2014)

Active Subspaces - Emerging Ideas for Dimension Reduction in Parameter Studies. - Paul G. Constantine (SIAM, 2015)

Computing active subspaces efficiently with gradient sketching. - Paul G. Constantine; Armin Eftekhari; Michael B. Wakin (CAMSAP, 2015)

Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. - Jennifer L. Jefferson; James M. Gilbert; Paul G. Constantine; Reed M. Maxwell (Comput. Geosci., 2015)

Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet. - Paul G. Constantine; Michael Emory; Johan Larsson 004; Gianluca Iaccarino (J. Comput. Phys., 2015)

Discovering an active subspace in a single-diode solar cell model. - Paul G. Constantine; Brian R. Zaharatos; Mark Campanelli (Stat. Anal. Data Min., 2015)

A randomized algorithm for enumerating zonotope vertices. - Kerrek Stinson; David F. Gleich; Paul G. Constantine (CoRR, 2016)

Reprint of: Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. - Jennifer L. Jefferson; James M. Gilbert; Paul G. Constantine; Reed M. Maxwell (Comput. Geosci., 2016)

Python Active-subspaces Utility Library. - Paul G. Constantine; Ryan Howard; Andrew G. Salinger; Zachary Grey; Paul Diaz; Leslie Fletcher (J. Open Source Softw., 2016)

Accelerating Markov Chain Monte Carlo with Active Subspaces. - Paul G. Constantine; Carson Kent; Tan Bui-Thanh (SIAM J. Sci. Comput., 2016)

Learning the second-moment matrix of a smooth function from point samples. - Armin Eftekhari; Michael B. Wakin; Ping Li 001; Paul G. Constantine; Rachel A. Ward (ACSSC, 2017)

Global sensitivity metrics from active subspaces. - Paul G. Constantine; Paul Diaz (Reliab. Eng. Syst. Saf., 2017)

Time-dependent global sensitivity analysis with active subspaces for a lithium ion battery model. - Paul G. Constantine; Alireza Doostan (Stat. Anal. Data Min., 2017)

Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. - Andrew G. Salinger; Paul G. Constantine; John N. Shadid; Timothy Wildey (Stat. Anal. Data Min., 2017)

A modified SEIR model for the spread of Ebola in Western Africa and metrics for resource allocation. - Paul Diaz; Paul G. Constantine; Kelsey Kalmbach; Eric W. Jones; Stephen Pankavich (Appl. Math. Comput., 2018)

Data-Driven Polynomial Ridge Approximation Using Variable Projection. - Jeffrey M. Hokanson; Paul G. Constantine (SIAM J. Sci. Comput., 2018)

The Lipschitz Matrix: A Tool for Parameter Space Dimension Reduction. - Jeffrey M. Hokanson; Paul G. Constantine (CoRR, 2019)

Gauss-Christoffel quadrature for inverse regression: applications to computer experiments. - Andrew G. Salinger; Paul G. Constantine (Stat. Comput., 2019)

Gaussian Quadrature and Polynomial Approximation for One-Dimensional Ridge Functions. - Andrew G. Salinger; Paul G. Constantine (SIAM J. Sci. Comput., 2019)

Forward and backward uncertainty quantification with active subspaces: Application to hypersonic flows around a cylinder. - Andrea F. Cortesi; Paul G. Constantine; Thierry E. Magin; Pietro Marco Congedo (J. Comput. Phys., 2020)

Inverse regression for ridge recovery: a data-driven approach for parameter reduction in computer experiments. - Andrew Glaws; Paul G. Constantine; R. Dennis Cook (Stat. Comput., 2020)

Gradient-Based Dimension Reduction of Multivariate Vector-Valued Functions. - Olivier Zahm; Paul G. Constantine; Clémentine Prieur; Youssef M. Marzouk (SIAM J. Sci. Comput., 2020)

A Lipschitz Matrix for Parameter Reduction in Computational Science. - Jeffrey M. Hokanson; Paul G. Constantine (SIAM J. Sci. Comput., 2021)