## Publications

### Enhancing piecewise‐defined surrogate response surfaces with adjoints on sets of unstructured samples to solve stochastic inverse problems

Many approaches for solving stochastic inverse problems suffer from both stochastic and deterministic sources of error. The finite …

### Convergence of Probability Densities Using Approximate Models for Forward and Inverse Problems in Uncertainty Quantification

We analyze the convergence of probability density functions utilizing approximate models for both forward and inverse problems. We …

### Data-driven uncertainty quantification for predictive flow and transport modeling using support vector machines

Specification of hydraulic conductivity as a model parameter in groundwater flow and transport equations is an essential step in …

### Utilizing Adjoint-Based Error Estimates for Surrogate Models to Accurately Predict Probabilities of Events

We develop a procedure to utilize error estimates for samples of a surrogate model to compute robust upper and lower bounds on …

### Combining Push-Forward Measures and Bayes' Rule to Construct Consistent Solutions to Stochastic Inverse Problems

We formulate, and present a numerical method for solving, an inverse problem for inferring parameters of a deterministic model from …

### A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems Under Uncertaint

The integration of functions over measurable sets is a fundamental problem in computational science. When the measurable sets belong to …

### A Stochastic Inverse Problem for Multiscale Models

Descriptions of complex multiscaled physical systems often involve many physical processes interacting through a multitude of scales. …

### A Measure-Theoretic Algorithm for Estimating Bottom Friction in a Coastal Inlet: Case Study of Bay St. Louis during Hurricane Gustav (2008)

The majority of structural damage and loss of life during a hurricane is due to storm surge, thus it is important for communities in …