Troy D. Butler

Publication Activity (10 Years)

Years Active: 2011-2022
Publications (10 Years): 6

Top Topics

Parameter Estimation

Inverse Problems

Markov Random Field

Experimental Design

Top Venues

SIAM J. Sci. Comput.

SIAM/ASA J. Uncertain. Quantification

J. Comput. Phys.

Publications

Michael Pilosov, Carlos del-Castillo-Negrete, Tian Yu Yen, Troy D. Butler, Clint N. Dawson
Parameter Estimation with Maximal Updated Densities. CoRR (2022)
Troy D. Butler, John D. Jakeman, Tim Wildey
Optimal experimental design for prediction based on push-forward probability measures. J. Comput. Phys. 416 (2020)
Steven Mattis, Kyle Robert Steffen, Troy D. Butler, Clint N. Dawson, Donald J. Estep
Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion. CoRR (2020)
Troy D. Butler, John D. Jakeman, Tim Wildey
Convergence of Probability Densities Using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification. SIAM J. Sci. Comput. 40 (5) (2018)
Troy D. Butler, John D. Jakeman, Tim Wildey
Combining Push-Forward Measures and Bayes' Rule to Construct Consistent Solutions to Stochastic Inverse Problems. SIAM J. Sci. Comput. 40 (2) (2018)
Troy D. Butler, L. Graham, Steven Mattis, Scot Walsh
A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems under Uncertainty. SIAM J. Sci. Comput. 39 (5) (2017)
Troy D. Butler, Antti Huhtala, Mika Juntunen
Quantifying uncertainty in material damage from vibrational data. J. Comput. Phys. 283 (2015)
Troy D. Butler, Donald J. Estep, Simon Tavener, Clint Dawson, Joannes J. Westerink
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Troy D. Butler, Clint Dawson, Tim Wildey
Propagation of Uncertainties Using Improved Surrogate Models. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
Troy D. Butler, Donald J. Estep, Jeff Sandelin
A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis. SIAM J. Numer. Anal. 50 (1) (2012)
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) (2012)
Troy D. Butler, Mika Juntunen
Reparameterization for statistical state estimation applied to differential equations. J. Comput. Phys. 231 (6) (2012)
J. Breidt, Troy D. Butler, Donald J. Estep
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis. SIAM J. Numer. Anal. 49 (5) (2011)
Troy D. Butler, Clint Dawson, Tim Wildey
A Posteriori Error Analysis of Stochastic Differential Equations Using Polynomial Chaos Expansions. SIAM J. Sci. Comput. 33 (3) (2011)