Uploaded February 2026 | Updated September 2026, 2 weeks ago
This video introduces Bayesian inference and statistics, which is a powerful framework for learning distributions from data.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
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00:00 Intro
01:09 Big Idea: Bayesian Inference
06:04 BI Balances Data and Prior Beliefs
09:43 BI Yields Distribution for Theta
11:01 The Bayesian Update
14:29 Code Demo: Bayesian Hypothesis Testing
23:21 Disadvantages of BI
27:53 Outro
This video introduces Bayesian inference and statistics, which is a powerful framework for learning distributions from data.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
00:00 Intro
01:09 Big Idea: Bayesian Inference
06:04 BI Balances Data and Prior Beliefs
09:43 BI Yields Distribution for Theta
11:01 The Bayesian Update
14:29 Code Demo: Bayesian Hypothesis Testing
23:21 Disadvantages of BI
27:53 Outro


![Measure-preserving EDMD: A 4-line structure-preserving & convergent DMD algorithm!
Research Abstract by Matt Colbrook, Cambridge University
We introduce measure-preserving extended dynamic mode decomposition (mpEDMD), a data-driven algorithm that enforces measure-preserving truncations of Koopman operators using a general dictionary of observables. It is flexible and easy to use with any pre-existing DMD-type method and with different data types. As well as convergence to the spectral properties of the underlying Koopman operator (for general measure-preserving dynamical systems), mpEDMD has improved stability and qualitative behavior of trajectories. For delay embedding, mpEDMD even comes with explicit convergence rates as the size of the dictionary increases. We demonstrate mpEDMD on a range of challenging examples, its increased robustness to noise compared with other DMD-type methods, and its ability to capture the energy conservation and statistics of a turbulent boundary layer flow with Reynolds number greater than 60,000 and state-space dimension greater than 100,000.
http://www.damtp.cam.ac.uk/user/mjc249/pdfs/mpEDMD.pdf [damtp.cam.ac.uk] Measure-preserving EDMD: A 4-line structure-preserving & convergent DMD algorithm!](https://i.ytimg.com/vi/Xt3vS_hhBm8/mqdefault.jpg)



![A Neural Network Primer
[Tier 1, Lecture 04c] This video provides a primer on neural networks for machine learning and artificial intelligence. Neural networks are biologically inspired and provide the backbone of many modern ML/AI frameworks.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
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0:00 Overview
2:15 What is a Neural Network?
5:17 The Perceptron (History of Neural Networks)
6:39 Deep Learning
8:50 A Diversity of Architectures: the Neural Network Zoo
11:30 CNN: Convolutional Neural Networks
13:11 RNN: Recurrent Neural Networks
14:01 Autoencoder Networks
16:20 Outro A Neural Network Primer](https://i.ytimg.com/vi/_56bfCu02ZE/mqdefault.jpg)

![AI/ML+Physics: Preview of Upcoming Modules and Bootcamps [Physics Informed Machine Learning]
This video provides a brief preview of the upcoming modules and bootcamps in this series on Physics Informed Machine Learning. Topics include: (1) Parsimonious modeling and SINDy; (2) Physics informed neural networks (PINNs); (3) Operator methods, like DeepONets and Fourier Neural Operators; (4) Symmetries in physics and machine learning; (5) Digital Twin technology; and (6) Case studies in engineering.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
00:00 Intro & Recap
01:06 Reviewing the 5 Stages
04:08 Reviewing Physics in the Stages
05:11 Why Physical Models: Cost & Data Scale
07:53 Why Physical Models: Generalized Models
10:01 Why Physcial Models: Discovering Physics
11:40 Holistic Impact of Embedding Physics // Struggling to find a good wording here
12:55 Case Study: Pendulum Data and SINDy
15:20 Case Study: Symbolic Regression and Evolutionary Optimization
16:45 Case Study: Lagrangian Neural Networks
18:34 Architectures and Symmetries
19:36 Applications in Engineering
21:21 The Digital Twin
22:15 Benchmark Problems
23:35 Outro AI/ML+Physics: Preview of Upcoming Modules and Bootcamps [Physics Informed Machine Learning]](https://i.ytimg.com/vi/_ObvDgPMWkU/mqdefault.jpg)

