Efficient Computation of Sobol' Indices for Stochastic Models. - Joseph L. Hart; Alen Alexanderian; Pierre-Alain Gremaud (SIAM J. Sci. Comput., 2017)

Global Sensitivity Analysis for Statistical Model Parameters. - Joseph L. Hart; Julie Bessac; Emil M. Constantinescu (SIAM/ASA J. Uncertain. Quantification, 2019)

Robustness of the Sobol' Indices to Marginal Distribution Uncertainty. - Joseph L. Hart; Pierre-Alain Gremaud (SIAM/ASA J. Uncertain. Quantification, 2019)

Enabling and interpreting hyper-differential sensitivity analysis for Bayesian inverse problems. - Joseph L. Hart; Bart G. van Bloemen Waanders (CoRR, 2021)

Classification of orthostatic intolerance through data analytics. - Steven Gilmore; Joseph L. Hart; Justen Geddes; Christian Haargaard Olsen; Jesper Mehlsen; Pierre-Alain Gremaud; Mette S. Olufsen (Medical Biol. Eng. Comput., 2021)

Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis. - Arvind K. Saibaba; Joseph L. Hart; Bart G. van Bloemen Waanders (Numer. Linear Algebra Appl., 2021)

Train Like a (Var)Pro: Efficient Training of Neural Networks with Variable Projection. - Elizabeth Newman; Lars Ruthotto; Joseph L. Hart; Bart G. van Bloemen Waanders (SIAM J. Math. Data Sci., 2021)

Hyper-differential sensitivity analysis for nonlinear Bayesian inverse problems. - Isaac Sunseri; Alen Alexanderian; Joseph L. Hart; Bart G. van Bloemen Waanders (CoRR, 2022)

Hyper-differential sensitivity analysis with respect to model discrepancy: mathematics and computation. - Joseph L. Hart; Bart G. van Bloemen Waanders (CoRR, 2022)

Hyper-differential sensitivity analysis with respect to model discrepancy: Calibration and optimal solution updating. - Joseph L. Hart; Bart G. van Bloemen Waanders (CoRR, 2022)

Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data. - Joseph L. Hart; Mamikon A. Gulian; Indu Manickam; Laura P. Swiler (CoRR, 2023)

Sensitivity-Driven Experimental Design to Facilitate Control of Dynamical Systems. - Joseph L. Hart; Bart G. van Bloemen Waanders; Lisa Hood; Julie Parish (J. Optim. Theory Appl., 2023)

A new perspective on parameter study of optimization problems. - Alen Alexanderian; Joseph L. Hart; Mason Stevens (Appl. Math. Lett., 2023)

Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems. - Joseph L. Hart; Bart G. van Bloemen Waanders (SIAM J. Sci. Comput., 2023)

Stratospheric aerosol source inversion: Noise, variability, and uncertainty quantification. - Joseph L. Hart; Indu Manickam; Mamikon A. Gulian; Laura P. Swiler; Diana Bull; T. Ehrmann; H. Brown; B. Wagman; Jerry Watkins (CoRR, 2024)