Bayesian Inverse Problems: Fundamentals and Engineering Applications

ISBN-13: 9781032112176 / Angielski / Miękka / 2024 / 232 str.

Juan Chiachio-Ruano; Shankar Sankararaman; Manuel Chiachio-Ruano

Opis

This book is devoted to a special class of engineering problems called Bayesian inverse problems. These problems comprise not only the probabilistic Bayesian formulation of engineering problems, but also the associated stochastic simulation methods needed to solve them.

Spis treści

Part 1 Fundamentals 1. Introduction to Bayesian Inverse Problems 2. Solving Inverse Problems by Approximate Bayesian Computation 3. Fundamentals of Sequential System Monitoring and Prognostics Methods 4. Parameter Identification Based on Conditional Expectation Part 2 Engineering Applications 5. Sparse Bayesian Learning and its Application in Bayesian System Identification 6. Ultrasonic Guided-waves Based Bayesian Damage Localisation and Optimal Sensor Configuration 7. Fast Bayesian Approach for Stochastic Model Updating using Modal Information from Multiple Setups 8. A Worked-out Example of Surrogate-based Bayesian Parameter and Field Identification Methods