Constantine. Active Subspaces: Emerging Ideas in Dimension Reduction for Parameter Studies. SIAM, Philadelphia (2015) LINK


Constantine, del Rosario, and Iaccarino. Data-driven dimensional analysis: algorithms for unique and relevant dimensionless groups. arXiv:1708.04303 (2017) LINK

Constantine and Hokanson. Data-driven polynomial ridge approximation using variable projection. arXiv:1702.05859 (2017) LINK

Glaws, Constantine, and Cook. Inverse regression for ridge recovery. arXiv:1702.02227 (2017) LINK

Grey and Constantine. Active subspaces of airfoil shape parameterizations. arXiv:1702.02909 (2017) LINK

Constantine, Eftekhari, Hokanson, and Ward. A near-stationary subspace for ridge approximation. Computer Methods in Applied Mechanics and Engineering (2017) LINK

Glaws, Constantine, Shadid, and Wildey. Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces. Statistical Analysis and Data Mining: The ASA Data Science Journal (2017) LINK

Constantine and 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 (2017) LINK

Constantine and Diaz. Global sensitivity metrics from active subspaces. Reliability Engineering & System Safety (2017) LINK

Jefferson, Maxwell, and Constantine. Exploring the sensitivity of photosynthesis and stomatal resistance parameters in a land surface model. Journal of Hydrometeorology (2017) LINK

del Rosario, Constantine, and Iaccarino. Developing design insight through active subspaces. 19th AIAA Non-Deterministic Approaches Conference (2017) LINK

Grey and Constantine. Active subspaces of airfoil shape parameterizations. 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2017) LINK

Alonso, Eldred, Constantine, Duraisamy, Farhat, Iaccarino, and Jakeman. Scalable environment for quantification of uncertainty and optimization in industrial applications (SEQUOIA). 19th AIAA Non-Deterministic Approaches Conference (2017) LINK


Constantine, Howard, Glaws, Grey, Diaz, and Fletcher. Python Active-subspaces Utility Library. The Journal of Open Source Software (2016) LINK

Constantine, Kent, and Bui-Thanh. Accelerating Markov chain Monte Carlo with active subspaces. SIAM Journal on Scientific Computing (2016) LINK

Othmer, Lukaczyk, Constantine, and Alonso. On active subspaces in car aerodynamics. 17th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (2016) LINK

Gilbert, Jefferson, Constantine, and Maxwell. Global spatial sensitivity of runoff to subsurface permeability using the active subspace method. Advances in Water Resources (2016) LINK

Bauerheim, Ndiaye, Constantine, Moreau, and Nicoud. Symmetry breaking of azimuthal thermoacoustic modes: The UQ perspective. Journal of Fluid Mechanics (2016) LINK

Stinson, Gleich, and Constantine. A randomized algorithm for enumerating zonotope vertices. arXiv:1602.06620 (2016) LINK


Constantine, Eftekhari, and Wakin. Computing active subspaces efficiently with gradient sketching. IEEE CAMSAP (2015) LINK

Constantine and Gleich. Computing active subspaces with Monte Carlo. arXiv:1408.0545v2 (2015) LINK

Constantine, Emory, Larsson, and Iaccarino. Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet. Journal of Computational Physics (2015) LINK

Constantine, Zaharatos, and Campanelli. Discovering an active subspace in a single-diode solar cell model. Statistical Analysis and Data Mining: The ASA Data Science Journal (2015) LINK

Jefferson, Gilbert, Constantine, and Maxwell. Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model. Computers & Geosciences (2015) LINK


Constantine, Dow, and Wang. Active subspace methods in theory and practice: applications to kriging surfaces. SIAM Journal of Scientific Computing (2014) LINK

Lukaczyk, Palacios, Alonso, and Constantine. Active subspaces for shape optimization. 10th AIAA Multidisciplinary Design Optimization Conference (2014) LINK


Constantine, Emory, Palacios, Kseib, and Iaccarino. Quantification of margins and uncertainties using an active subspace method for approximating bounds 11th International Conference on Structural Safety & Reliability (2013) LINK


Constantine, Doostan, Wang, and Iaccarino. A surrogate-accelerated Bayesian inverse analysis of the HyShot II flight data. 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (2011) LINK

Chen, Wang, Hu, and Constantine. Conditional sampling and experiment design for quantifying manufacturing error of transonic airfoil. 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition (2011) LINK


Constantine. Active subspaces: emerging ideas for dimension reduction in approximation, integration, and optimization. Stanford’s Institute for Computational and Mathematical Engineering Linear Algebra and Optimization Seminar, Stanford, CA (2015) YOUTUBE, SLIDES

Constantine. Computing active subspaces. Joint Mathematics Meeting, San Antonio, TX (2015) SLIDES

SIAM Conference on Computational Science and Engineering, March 14, 2015


Constantine (Colorado School of Mines). Active Subspaces in Theory and Practice. YOUTUBE, SLIDES

Cook (University of Minnesota). Envelopes: Subspace Methods for Efficient Estimation in Multivariate Statistics. YOUTUBE, SLIDES

Li (Penn State University). Combining Eigenvalues and Variation of Eigenvectors for Order Determination. YOUTUBE, SLIDES

Wang (Massachusetts Institute of Technology). Tolerancing via Optimization. YOUTUBE


Le (University of Texas Austin). An Approach to Big Data in Inverse Problems. YOUTUBE, SLIDES

Solonen (Lappeenranta University of Technology). Likelihood-Informed Dimension Reduction for Bayesian Inverse Problems. YOUTUBE

Smith (North Carolina State University). Parameter Selection Techniques for Disease Models. YOUTUBE

Lukaczyk (Stanford University). Active Subspaces for the Design of Supersonics. YOUTUBE


Jefferson (Colorado School of Mines). Influence of Surface and Subsurface Parameter Uncertainty and Sensitivity on the Latent Heat Flux Using An Integrated Hydrologic Model. YOUTUBE, SLIDES

Kent (Colorado School of Mines). Dimension Reduction in MCMC using Active Subspaces. YOUTUBE

Emory (Stanford University). The Cost of Not Using Active Subspaces. YOUTUBE, SLIDES

Zaharatos (Colorado School of Mines). Discovering An Active Subspace in a Single-Diode Solar Cell Model. YOUTUBE


Python Active subspaces Utility Library GITHUB

Active Subspace Data Sets GITHUB