Lectures
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Introduction to Data-Driven Modeling with Applications
tl;dr: A brief history of artificial intelligence and the latest breakthroughs.
[slides]
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Nonlinear Systems and Uncertainty Quantificaiton
tl;dr: A brief introduction to Lorenz systems and motivating the need for probabilistic modeling.
[Notes]
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Sparse Identification of Differential Equations
tl;dr: A brief introduction to discovering nonlinear differential equations from data with sparse regression techniques.
[Notes] [PDE/Symbolic Reg]
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Principle Component Analysis
tl;dr: An introduction to unsupervised learning through the lens of dimensionality reduction, PCA and SVD.
[Notes]