Lectures

Course Introduction and Logistics

Overview of Scientific Machine Learning and Course Structure
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Lecture Materials

Course Description and Logistics

Course Motivation

My research on discovering physics from data

Lecture Slides
Homework

Problem Set 0: Linear Algebra and Calculus Recap
Recommended Papers

Scientific discovery in the age of artificial intelligence

Machine learning and big scientific data
Recommended Videos

Physics Informed Machine Learning: High Level Overview of AI and ML in Science and Engineering - Steven Brunton

Science in the Age of Experience 2024 - George Karniadakis, Brown University
Data, Modeling, and Inference

Empirical Laws and Linear Regression
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Lecture Materials

A brief history of empirical modeling

Background Lecture Slides

Regression Lecture Slides

Linear Regression Code
Recommended Videos

Introduction to Linear Regression

CS229 Introduction to Machine Learning (Lecture 1)

CS229 Linear Regression and Gradient Descent (Lecture 2)

Introduction to Dynamics Review (Optional)
Recommended Readings

CS229 Notes Chapter 1 - Linear Regression