Advanced Scientific Machine Learning

Advanced SML lecture notes: uncertainty, inverse problems, and physics-informed learning.

Author: Ilias Bilionis (Purdue University, USA)

About this book

This online book is a curated collection of lecture notes on advanced scientific machine learning, developed as part of ME 697 at Purdue University. It targets graduate-level readers who want a probability-first view of machine learning for scientific applications, with emphasis on uncertainty, inverse problems, and physics-informed modeling.

Contents

  • Modern Machine Learning Software
  • Uncertainty Propagation through Scientific Models
  • High-dimensional Uncertainty Propagation
  • Inverse Problems in Deterministic Scientific Models
  • Physics-informed Neural Networks (PINNs)
  • Inverse Problems in Stochastic Scientific Models
  • Homework Problems

Readership

Graduate students and researchers in engineering and science working on scientific ML applications.

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