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ECEN 689 Scientific Machine Learning (Spr 2022)

Instructors: Ulisses Braga-Neto and Ming Zhong

Course Description: This graduate course provides an introduction to the algorithmic and computational foundations of Scientific Machine Learning (SciML). The course starts with an introduction to scientific machine learning, followed by a brief review of traditional machine learning. The course covers the basics of scientific computation, including ODE and PDE numerical methods, and the basic SciML algorithms: automatic differentiation, physics-informed neural networks, and physics-informed Gaussian processes. Applications to forward prediction, inverse modeling, and uncertainty quantification are presented. Additional material will be discussed through student presentations of selected publications in the area. The course is integrated with, and benefits from, the educational activities of the TAMIDS SciML Thematic Lab.

Acknowledgment: The development of this course is supported by TAMIDS through its Data Science Course Development Program.

Lecture 1: Introduction to Scientific Machine Learning

Lecture 2: Review of Machine Learning

Lecture 3: Introduction to Scientific Computing

Lecture 4: Automatic Differentiation

Lecture 5: Forward Modeling with Physics-Informed Neural Networks (PINNs)

Lecture 6: Forward Modeling with Physics-Informed Gaussian Processes (PIGPs)

Lecture 7: Inverse Problems

Lecture 8: Uncertainty Quantification