Uploaded November 2022 | Updated September 2026, 2 weeks ago
This video explores how to numerically compute second derivatives and how to differentiate vectors of data. Examples are given in Python and Matlab.
Paper on ML for differentiation: pnas.org/doi/10.1073/pnas.1814058116
Playlist: youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/
@eigensteve on Twitter
eigensteve.com
databookuw.com
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Higher order finite difference schemes
5:30 Finite difference second derivative
14:27 Differentiating data vectors
26:28 Python code example
35:22 Matlab code example
This video explores how to numerically compute second derivatives and how to differentiate vectors of data. Examples are given in Python and Matlab.
Paper on ML for differentiation: pnas.org/doi/10.1073/pnas.1814058116
Playlist: youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/
@eigensteve on Twitter
eigensteve.com
databookuw.com
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Higher order finite difference schemes
5:30 Finite difference second derivative
14:27 Differentiating data vectors
26:28 Python code example
35:22 Matlab code example

![Python Symbolic Regression (PySR) [Physics Informed Machine Learning]
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
00:00 Intro
02:14 What is Symbolic Regression?
04:08 High-Level Algorithm/ Genetic Programming Overview
// 05:26 Crossover and Mutation
08:12 History of Symbolic Discovery/ Background: Symbolic Discovery
// 09:16 Symbolic Discovery Case Study
// 11:15 Case Study: Control Laws
12:18 Why PySR
// 12:18 PySR: Features
// 13:15 PySR: Benchmarks
// 14:00 PySR: Code Structure
14:19 Why Symbolic Regression/ Potential Outro
15:48 Outro Python Symbolic Regression (PySR) [Physics Informed Machine Learning]](https://i.ytimg.com/vi/df43V4OjMVs/mqdefault.jpg)








