Inverse Problems for Physics-Based Process Models
Derek Bingham, Troy Butler, Donald Estep
Abstract
We describe and compare two formulations of inverse problems for a physics-based process model in the context of uncertainty and random variability: the Bayesian inverse problem and the stochastic inverse problem. We describe the foundations of the two problems in order to create a context for interpreting the applicability and solutions of inverse problems important for scientific and engineering inference. We conclude by comparing them to statistical approaches to related problems, including Bayesian calibration of computer models.
Topics & Concepts
Inverse problemContext (archaeology)Bayesian probabilityInferenceInverseBayesian inferenceProcess (computing)Computer scienceCalibrationData scienceStatisticsMathematicsArtificial intelligenceGeographyOperating systemGeometryMathematical analysisArchaeologyGaussian Processes and Bayesian InferenceAdvanced Multi-Objective Optimization AlgorithmsProbabilistic and Robust Engineering Design