Uploaded October 2022 | Updated September 2026, 20 hours ago
I traveled to Bayreuth, Germany to give a talk about Data Driven Methods in Dynamical Systems and Dynamic Mode Decompositions.
//Books
Holger Wendland - Scattered Data Approximation - amzn.to/3CvGUeN
Peter Walters - An Introduction to Ergodic Theory - amzn.to/3royr6E
Kutz and Brunton - Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems - amzn.to/3fAFOoU
Bertsekas - Dynamic Programming and Optimal Control, Vol. I, 4th Edition - amzn.to/3M5zrGu
DISCLAIMER: The links in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!
//Watch Next
The Banach Fixed Point Theorem youtu.be/_I790SqNDjs
The Real Analysis Survival Guide youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//Music Provided by Epidemic Sound
Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel:
epidemicsound.com/referral/644nao
Douche - Dajana
See you again next year - Mr Kent and Ruby Red
Quixotic - Jobii
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: amzn.to/3D3upUu
0:00 Start
2:36 Talk
5:18 What is a RKHS?
7:17 Dynamic Mode Decomposition 101
9:24 Major Goal of DMD
11:50 A Simple Algorithm
13:42 What is an Occupation Kernel?
18:50 DMD for Higher Order Dynamical Systems
20:47 Making a new operator
24:15 Examples
25:03 Wrap Up
I traveled to Bayreuth, Germany to give a talk about Data Driven Methods in Dynamical Systems and Dynamic Mode Decompositions.
//Books
Holger Wendland - Scattered Data Approximation - amzn.to/3CvGUeN
Peter Walters - An Introduction to Ergodic Theory - amzn.to/3royr6E
Kutz and Brunton - Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems - amzn.to/3fAFOoU
Bertsekas - Dynamic Programming and Optimal Control, Vol. I, 4th Edition - amzn.to/3M5zrGu
DISCLAIMER: The links in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!
//Watch Next
The Banach Fixed Point Theorem youtu.be/_I790SqNDjs
The Real Analysis Survival Guide youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//Music Provided by Epidemic Sound
Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel:
epidemicsound.com/referral/644nao
Douche - Dajana
See you again next year - Mr Kent and Ruby Red
Quixotic - Jobii
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: amzn.to/3D3upUu
0:00 Start
2:36 Talk
5:18 What is a RKHS?
7:17 Dynamic Mode Decomposition 101
9:24 Major Goal of DMD
11:50 A Simple Algorithm
13:42 What is an Occupation Kernel?
18:50 DMD for Higher Order Dynamical Systems
20:47 Making a new operator
24:15 Examples
25:03 Wrap Up
