Timothy Michael Wildey

Scientific Machine Learning

Author profile picture

Scientific Machine Learning

tmwilde@sandia.gov

(505) 844-0760

Sandia National Laboratories, New Mexico
P.O. Box 5800
Albuquerque, NM 87185-1318

Biography

Tim joined Sandia National Labs in January, 2011 following a postdoctoral fellowship at the University of Texas at Austin. His research interests are finite element and finite volume methods, discontinuous Galerkin methods, hybridized discretizations, a posteriori error analysis and estimation, uncertainty quantification, adjoint methods, multiphysics and multiscale problems, operator splitting and decomposition, computational fluid dynamics, shock-hydrodynamics, geomechanics, flow and transport in porous media, numerical linear algebra, domain decomposition, multilevel and multiscale preconditioners, and parallel computing.

Education

Publications

Michael Eldred, Brian Adams, Gianluca Geraci, Teresa Portone, Elliott Ridgway, John Stephens, Timothy Wildey, (2022). Deployment of Multifidelity Uncertainty Quantification for Thermal Battery Assessment Part I: Algorithms and Single Cell Results https://doi.org/10.2172/1885882 Publication ID: 80135

Anh Tran, Jing Sun, Dehao Liu, Yan Wang, Timothy Wildey, (2022). A Stochastic Reduced-Order Model for Statistical Microstructure Descriptors Evolution Journal of Computing and Information Science in Engineering https://doi.org/10.1115/1.4054237 Publication ID: 80523

Michael Eldred, Gianluca Geraci, Alex Gorodetsky, John Jakeman, Teresa Portone, Timothy Wildey, Ahmad Rushdi, Daniel Seidl, (2021). The Dakota Project: Connecting the Pipeline from Uncertainty Quantification R&D to Mission Impact https://www.osti.gov/servlets/purl/1891078 Publication ID: 76127

Timothy Wildey, Troy Butler, John Jakeman, Anh Tran, (2021). Solving Stochastic Inverse Problems for Property-Structure Relationships in Computational Materials Science https://doi.org/10.2172/1890916 Publication ID: 79535

Timothy Wildey, Troy Butler, John Jakeman, (2021). Combining Measure Theory and Bayes? Rule to Solve a Stochastic Inverse Problem https://doi.org/10.2172/1877851 Publication ID: 78143

Anh Tran, Julien Tranchida, Timothy Wildey, Aidan Thompson, (2021). Multi-fidelity ML/UQ and Bayesian Optimization for Materials Design: Application to Ternary Random Alloys https://doi.org/10.2172/1853874 Publication ID: 77392

Anh Tran, Timothy Wildey, (2021). Solving inverse problems for process-structure linkages using asynchronous parallel Bayesian optimization https://doi.org/10.2172/1854075 Publication ID: 77439

Anh Tran, Timothy Wildey, (2021). Solving stochastic inverse problems for property-structure linkage using data-consistent inversion and ML https://doi.org/10.2172/1848050 Publication ID: 77388

Anh Tran, Timothy Wildey, Julien Tranchida, Aidan Thompson, (2020). Multi-fidelity machine-learning with uncertainty quantification and Bayesian optimization for materials design: Application to ternary random alloys Journal of Chemical Physics https://doi.org/10.1063/5.0015672 Publication ID: 73589

Anh Tran, Timothy Wildey, Theron Rodgers, (2020). On supervised and unsupervised deep learning applications for materials informatics https://www.osti.gov/servlets/purl/1812467 Publication ID: 74399

Anh Tran, Jing Sun, Yan Wang, Dehao Liu, Timothy Wildey, (2020). Multiscale stochastic reduced-order model for uncertainty propagation using Fokker-Planck equation with microstructure evolution applications arXiv preprint https://www.osti.gov/servlets/purl/1834331 Publication ID: 73191

Anh Tran, Timothy Wildey, (2019). Materials informatics: data-driven materials design and uncertainty quantification perspectives https://www.osti.gov/servlets/purl/1643479 Publication ID: 66699

Timothy Wildey, Lukas Bruder, Tan Bui-Thanh, Troy Butler, John Jakeman, Brad Marvin, Anh Tran, Scott Walsh, (2019). Moving Beyond Forward Simulation to Enable Data-informed Physics-based Predictions https://www.osti.gov/biblio/1646273 Publication ID: 66318

Timothy Wildey, Troy Butler, John Jakeman, (2019). Convergence of Probability Densities using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification https://www.osti.gov/servlets/purl/1641989 Publication ID: 64879

Anh Tran, Timothy Wildey, Scott McCann, (2019). A sequential bi-fidelity constrained Bayesian optimization for design applications https://www.osti.gov/servlets/purl/1641565 Publication ID: 70358

Timothy Wildey, Troy Butler, John Jakeman, Lukas Bruder, (2019). Solving Stochastic Inverse Problems using Approximate Push-forward Densities based on a Multi-fidelity Monte Carlo Method https://www.osti.gov/servlets/purl/1641047 Publication ID: 69562

Timothy Wildey, Anh Tran, (2019). Using High Performance Computing to Enable Data-informed Multiscale Modeling with Applications to Additive Materials https://www.osti.gov/servlets/purl/1640837 Publication ID: 69247

Anh Tran, Yan Wang, Timothy Wildey, (2019). A step towards a versatile Bayesian optimization: constrained asynchronous batch-parallel multi-fidelity and mixed-integer extensions https://www.osti.gov/servlets/purl/1640079 Publication ID: 68628

Timothy Wildey, (2019). Exploiting Low-dimensional Structure to Efficiently Perform Stochastic Inference for Prediction https://www.osti.gov/servlets/purl/1601938 Publication ID: 67079

Timothy Wildey, Troy Butler, John Jakeman, Tan Bui-Thanh, Brad Marvin, Lukas Bruder, (2019). Developing Scalable and Multi-fidelity Approaches for Push-forward Based Inference https://www.osti.gov/servlets/purl/1596420 Publication ID: 64514

Timothy Wildey, Brad Marvin, Tan Bui-Thanh, (2018). Scalable Approximations for the Consistent Bayes Method https://www.osti.gov/servlets/purl/1594647 Publication ID: 59327

Timothy Wildey, Troy Butler, John Jakeman, (2018). The Consistent Bayesian Approach for Stochastic Inverse Problems https://www.osti.gov/servlets/purl/1592669 Publication ID: 59876

Timothy Wildey, (2018). Overview of Forward and Inverse Uncertainty Quantification Methods https://www.osti.gov/servlets/purl/1581941 Publication ID: 63733

John Jakeman, Troy Butler, Michael Eldred, Gianluca Geraci, Alex Gorodetsky, Timothy Wildey, (2018). Adaptive multi-index collocation for quantifying uncertainty https://www.osti.gov/servlets/purl/1806541 Publication ID: 63211

Timothy Wildey, Troy Butler, John Jakeman, Brad Marvin, (2018). Consistent Bayesian Inference with Push-forward Measures: Scalable Implementations and Applications https://www.osti.gov/servlets/purl/1567819 Publication ID: 62972

Timothy Wildey, Troy Butler, John Jakeman, Daniel Seidl, Bart van Bloemen Waanders, (2018). Data-informed Multiscale Modeling of Additive Materials https://www.osti.gov/servlets/purl/1523778 Publication ID: 62297

Daniel Seidl, Bart van Bloemen Waanders, Timothy Wildey, (2018). Multiscale Interfaces for Large Scale Optimization https://www.osti.gov/servlets/purl/1525680 Publication ID: 61583

Timothy Wildey, Troy Butler, John Jakeman, Scott Walsh, (2018). Optimal Experimental Design for Prediction Using a Consistent Bayesian Approach https://www.osti.gov/servlets/purl/1507835 Publication ID: 61612

Scott Walsh, Timothy Wildey, John Jakeman, (2018). Optimal experimental design using a consistent Bayesian approach ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering https://doi.org/10.1115/1.4037457 Publication ID: 56168

R. Roach, Bradley Jared, Adam Cook, David Keicher, Bart van Bloemen Waanders, Laura Swiler, Daniel Seidl, Timothy Wildey, Shaun Whetten, (2018). Born Qualified EAB Telecon https://www.osti.gov/servlets/purl/1514821 Publication ID: 60282

Timothy Wildey, Troy Butler, John Jakeman, (2017). A Consistent Bayesian Approach for Solving Stochastic Inverse Problems https://www.osti.gov/servlets/purl/1469097 Publication ID: 58335

Timothy Wildey, John Jakeman, Troy Butler, (2017). Advancing Beyond Interpretive Simulation to Inference for Prediction https://www.osti.gov/servlets/purl/1467988 Publication ID: 58203

Timothy Wildey, Bart van Bloemen Waanders, Daniel Seidl, (2017). Adaptive Multiscale Modeling Using Generalized Mortar Methods https://www.osti.gov/servlets/purl/1513505 Publication ID: 57313

Matthias Mayr, Eric Cyr, John Shadid, Roger Pawlowski, Timothy Wildey, Guglielmo Scovazzi, Xianyi Zeng, Edward Phillips, Sidafa Conde, (2017). Implicit-Explicit (IMEX) Time Integration for CFD & Multi-Physics Problems https://www.osti.gov/servlets/purl/1458227 Publication ID: 56716

Matthias Mayr, Eric Cyr, John Shadid, Roger Pawlowski, Timothy Wildey, Guglielmo Scovazzi, Xianyi Zeng, Edward Phillips, Sidafa Conde, (2017). Implicit-Explicit (IMEX) Time Integration for Multi-Physics: Application to ALE-based CFD Simulations https://www.osti.gov/servlets/purl/1458228 Publication ID: 56717

Timothy Wildey, Bart van Bloemen Waanders, Daniel Seidl, (2017). Multiscale Modeling Using Mortar Methods https://www.osti.gov/servlets/purl/1458195 Publication ID: 56724

Daniel Seidl, Bart van Bloemen Waanders, Timothy Wildey, (2017). Multiscale Interfaces for Large Scale Optimization https://www.osti.gov/servlets/purl/1456522 Publication ID: 55715

Bart van Bloemen Waanders, Timothy Wildey, Daniel Seidl, Harriet Li, (2017). Multiscale optimization under uncertainty for additive manufacturing https://www.osti.gov/servlets/purl/1426379 Publication ID: 55236

Timothy Wildey, John Jakeman, Troy Butler, (2017). Efficient Sampling Strategies for the Consistent Bayesian Approach for Solving Stochastic Inverse Problems https://www.osti.gov/servlets/purl/1425298 Publication ID: 55046

Daniel Seidl, Bart van Bloemen Waanders, Timothy Wildey, (2017). Simultaneous Estimation of Material Parameters and Neumann Boundary Conditions in a Linear Elastic Model by PDE-Constrained Optimization https://www.osti.gov/servlets/purl/1458297 Publication ID: 54920

Bart van Bloemen Waanders, Timothy Wildey, Daniel Seidl, Harriet Li, (2017). Multiscale optimization under uncertainty https://www.osti.gov/servlets/purl/1458249 Publication ID: 55002

Timothy Wildey, John Shadid, Eric Cyr, Jehanzeb Chaudry, (2016). Adjoint Enhanced Methods for Uncertainty Quantification of Multiphysics Applications https://www.osti.gov/servlets/purl/1400047 Publication ID: 47138

Eric Cyr, John Shadid, Timothy Wildey, Edward Phillips, Allen Robinson, Sean Miller, Roger Pawlowski, (2016). Implicit-Explicit (IMEX) Time Integration for Multi-Physics: Application to ALE and Plasma Simulation https://www.osti.gov/servlets/purl/1401944 Publication ID: 47222

Timothy Wildey, John Shadid, Eric Cyr, (2016). Adjoint Enhanced Methods for Uncertainty Quantification of Multiphysics Applications https://www.osti.gov/servlets/purl/1367627 Publication ID: 50793

Timothy Wildey, John Jakeman, Troy Butler, (2016). A Consistent Bayesian Approach for Stochastic Inverse Problems https://www.osti.gov/servlets/purl/1368940 Publication ID: 50347

Brian Carnes, Steven Bova, Travis Fisher, V. Weirs, Timothy Wildey, (2016). Discretization error transport for unstructured CFD https://www.osti.gov/servlets/purl/1422082 Publication ID: 50012

Timothy Wildey, Bart van Bloemen Waanders, Daniel Seidl, (2016). Uncertainty Quantification for Multiscale Mortar Methods https://www.osti.gov/servlets/purl/1368791 Publication ID: 50172

Timothy Wildey, Bart van Bloemen Waanders, Daniel Seidl, Todd Arbogast, Ben Ganis, Vivette Girault, Gergina Pencheva, Mary Wheeler, Guangri Xue, Ivan Yotov, Simon Tavener, Martin Vohralik, (2016). Multiscale Mortar Methods: Theory Applications and Future Directions https://www.osti.gov/servlets/purl/1365248 Publication ID: 49573

Bart van Bloemen Waanders, Timothy Wildey, Daniel Seidl, Harriet Li, (2016). Multiscale Optimization Under Uncertainty https://www.osti.gov/servlets/purl/1348106 Publication ID: 48990

Timothy Wildey, Eric Cyr, John Shadid, Bart van Bloemen Waanders, Drew Kouri, Joseph Bishop, Simon Tavener, Troy Butler, Serge Prudhomme, Clint Dawson, (2016). Utilizing Adjoint-Based Techniques to Improve the Accuracy and Reliability in Uncertainty Quantification https://www.osti.gov/servlets/purl/1345103 Publication ID: 48514

Timothy Wildey, John Jakeman, (2015). Adaptive Bayesian Inference for Prediction https://doi.org/10.2172/1221574 Publication ID: 45595

Eric Phipps, John Red-Horse, Timothy Wildey, Paul Constantine, Roger Ghanem, Maarten Arnst, (2015). Stochastic Dimension Reduction of Multiphysics Systems through Measure Transformation https://www.osti.gov/servlets/purl/1321810 Publication ID: 45366

Timothy Wildey, John Shadid, Eric Cyr, John Jakeman, Troy Butler, (2015). Adjoint-Based a Posteriori Error Estimation and Uncertainty Quantification for Transient Nonlinear Problems with Discontinuous Solutions https://www.osti.gov/servlets/purl/1323036 Publication ID: 45375

Timothy Wildey, John Jakeman, Troy Butler, Eric Cyr, John Shadid, (2015). Adjoint-Based a Posteriori Error Estimation and Uncertainty Quantification for Shock-Hydrodynamic Applications https://www.osti.gov/servlets/purl/1279685 Publication ID: 44737

Timothy Wildey, John Jakeman, Troy Butler, (2015). Utilizing Adjoint-based Error Estimates to Adaptively Resolve Response Surface Approximations https://www.osti.gov/servlets/purl/1256570 Publication ID: 43836

Eric Cyr, John Shadid, Timothy Wildey, David Hensinger, Allen Robinson, William Rider, Guglielmo Scovazzi, (2015). IMEX Lagrangian Methods https://www.osti.gov/servlets/purl/1253301 Publication ID: 43417

Timothy Wildey, John Shadid, Eric Cyr, Paul Constantine, (2015). Enabling Efficient Uncertainty Quantification Using Adjoint-based Techniques https://doi.org/10.2172/1179153 Publication ID: 43275

Travis Fisher, Steven Bova, V. Weirs, Timothy Wildey, (2015). Propagating Discretization Error Estimates in Compressible Turbulent Flow Simulations https://www.osti.gov/servlets/purl/1246879 Publication ID: 42861

Timothy Wildey, Eric Cyr, John Shadid, (2015). Utilizing Adjoint-Based Techniques to Effectively Perform UQ on Discontinuous Responses https://www.osti.gov/servlets/purl/1246277 Publication ID: 42478

William Rider, Edward Love, Timothy Wildey, (2014). Replacing Discon.nuous Functions in Limiters with Smooth Ones https://www.osti.gov/servlets/purl/1241667 Publication ID: 38694

Brian Adams, John Jakeman, Laura Swiler, John Stephens, Dena Vigil, Timothy Wildey, Lara Bauman, William Bohnhoff, Keith Dalbey, John Eddy, Mohamed Ebeida, Michael Eldred, Patricia Hough, Kenneth Hu, (2014). Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis : https://doi.org/10.2172/1177077 Publication ID: 41017

Brian Adams, John Jakeman, Laura Swiler, John Stephens, Dena Vigil, Timothy Wildey, Lara Bauman, William Bohnhoff, Keith Dalbey, John Eddy, Mohamed Ebeida, Michael Eldred, Patricia Hough, Kenneth Hu, (2014). Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual https://doi.org/10.2172/1177048 Publication ID: 40814

Timothy Wildey, (2014). Error decomposition and adaptivity for response surface approximations from PDEs with parametric uncertainty SIAM/ASA Journal on Uncertainty Quantification https://www.osti.gov/biblio/1141195 Publication ID: 40117

Laura Swiler, Timothy Wildey, (2014). Sensitivity of precipitation to parameter values in the community atmosphere model version 5 https://doi.org/10.2172/1204103 Publication ID: 37049

Michael Eldred, Timothy Wildey, Kevin Dowding, (2014). Advanced UQ/QMU Methods for Abnormal Thermal Safety Studies https://www.osti.gov/servlets/purl/1692314 Publication ID: 40175

John Shadid, Roger Pawlowski, Eric Cyr, Timothy Wildey, (2014). Thermal hydraulic simulations, error estimation and parameter sensitivity studies in Drekar::CFD https://doi.org/10.2172/1204072 Publication ID: 36835

Michael Eldred, John Jakeman, Timothy Wildey, (2013). Deployment of Scalable UQ Methods for High-Fidelity Simulation-based Applications within the DOE https://www.osti.gov/servlets/purl/1673675 Publication ID: 36511

Timothy Wildey, John Shadid, Eric Cyr, (2013). Adjoint-Based Error Analysis for Stabilized Formulations and IMEX Schemes https://www.osti.gov/servlets/purl/1140447 Publication ID: 36063

John Shadid, Roger Pawlowski, Eric Cyr, Timothy Wildey, Paula Weber, (2013). Drekar::CFD-A Trilinos Component-Based Software Flow Solver https://www.osti.gov/servlets/purl/1296709 Publication ID: 36095

John Jakeman, Timothy Wildey, (2013). Scalable Uncertainty Quantification Methods https://www.osti.gov/servlets/purl/1666168 Publication ID: 34628

John Shadid, Timothy Wildey, Roger Pawlowski, (2013). Error Estimation with Adjoints in Drekar: Applications to Fluid Flow and Magnetohydrodynamics Models https://www.osti.gov/servlets/purl/1661289 Publication ID: 33631

John Red-Horse, Timothy Wildey, (2013). Stochastic Dimension Reduction of Multiphysics Systems through Measure Transformation https://www.osti.gov/servlets/purl/1145287 Publication ID: 32256

John Jakeman, Timothy Wildey, (2013). Quantifying Uncertainty using a-posteriori Enhanced Sparse Grid Approximations https://www.osti.gov/biblio/1063316 Publication ID: 32169

Eric Phipps, Timothy Wildey, (2013). Efficient uncertainty propagation for network multiphysics systems Proposed for publication in International Journal for Numerical Methods in Engineering. https://www.osti.gov/biblio/1063360 Publication ID: 31415

Timothy Wildey, Laura Swiler, (2012). Progress on Calibration of 2-Degree Simulations from CAM5 https://www.osti.gov/servlets/purl/1648264 Publication ID: 30744

Timothy Wildey, (2012). Error Control for Output QoIs Under Uncertainty https://www.osti.gov/biblio/1062303 Publication ID: 30554

Timothy Wildey, John Shadid, (2012). Goal-oriented a posteriori analysis of stabilized finite element methods https://www.osti.gov/biblio/1073289 Publication ID: 29275

Timothy Wildey, (2012). Error Decomposition and Adaptive Refinement for Stochastic Differential Equations https://www.osti.gov/servlets/purl/1658506 Publication ID: 29331

John Jakeman, Timothy Wildey, Michael Eldred, (2012). Adaptive sparse grids for uncertainty quantication Enhancing approximations using a posteriori error estimation https://www.osti.gov/biblio/1073416 Publication ID: 29105

Michael Eldred, Timothy Wildey, (2012). Propagation of model form uncertainty for thermal hydraulics using RANS turbulence models in Drekar https://doi.org/10.2172/1051699 Publication ID: 29125

Timothy Wildey, (2012). PROPAGATION OF UNCERTAINTIES USING IMPROVED SURROGATE MODELS Proposed for publication in SIAM Journal on Uncertainty Quantification. https://www.osti.gov/biblio/1064108 Publication ID: 28851

Timothy Wildey, (2012). A posteriori Analysis of Interior Penalty Discontinuous Galerkin Methods Proposed for publication in SIAM Journal of Numerical Analysis. https://www.osti.gov/biblio/1067830 Publication ID: 28017

John Red-Horse, Timothy Wildey, (2012). Stochastic Dimension Reduction Techniques for Uncertainty Quantification of Multiphysics Systems https://www.osti.gov/servlets/purl/1117584 Publication ID: 27536

Roger Pawlowski, John Shadid, Timothy Wildey, (2011). Embedded UQ and QoI/Adjoints in Drekar: New Directions https://www.osti.gov/biblio/1113265 Publication ID: 25656

Timothy Wildey, (2011). Quantification and Reduction of Uncertainties for Regional Scale Climate Predictions https://www.osti.gov/servlets/purl/1662132 Publication ID: 24184

Timothy Wildey, (2011). Preconditioning for Mixed Finite Element Formulations of Elliptic Problems https://www.osti.gov/servlets/purl/1106970 Publication ID: 22828

Timothy Wildey, (2011). Multiscale Mortar Methods for Flow and Mechanics in Porous Media https://www.osti.gov/servlets/purl/1288934 Publication ID: 22560

Timothy Wildey, (2011). A Dirichlet-to-Neumann (DtN) multigrid algorithm for locally conservative methods https://www.osti.gov/servlets/purl/1288632 Publication ID: 22028

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