Koopman Theory + Embeddings

[@enochyeung1978]

Nathan, when you said "boom, smackdown, I was with you. I was legitimately excited. Love the way you introduce these topics and motivate their utility!"

[@longchen5188]

So exciting to see a nonlinear ODE can be changed to a nonlinear one. Great lecture.

[@Savedbygrace952]

I love you Nathan. you are truly an awesome professor!

[@erockromulan9329]

"Let's just make something up." Love it!

[@gegebao5363]

me is also excited, thanks a lot!

[@MathPhysicsFunwithGus]

amazing and insightful video!

[@quantummath]

Damn he's one fun professor. Hopefully in a few years I'll become one.

[@BrunoJedynak]

Nice. Thank you, Nathan.

[@mengjiezhao7250]

I was laughing watching this video in the library

[@user-vg7zv5us5r]

8:05 That mad lad Koopman multiplies functions by the operator named after himself.

[@jawadmezaal5192]

Can Koopman method be used instead of taylor series?

[@abrahamsilas227]

Absolutely! In fact Koopman proves to be better than Taylor series and Lyapunov.

[@abrahamsilas227]

Absolutely yes! In fact better than Taylor's series and Lyapunov

[@abrahamsilas227]

How can I get the paper for this lecture?

[@rudypieplenbosch6752]

Bit weird, you replace some variables and now it looks like a linear equation, except all the nonlinear stuff has been wiped under the carpet, but is stil there 🤔. I'm in the middle of your lecture, curious how this will work out, of course it will.

[@ajaisingh9129]

Can someone please provide me a link to the matlab code used in the lecture video ?

[@WeAsBee]

Here: dmdbook.com/page10/data4bio.html

[@ajaisingh9129]

What does Dr. Kutz mean when he says " I take snapshot of state variables " ?

[@user-vg7zv5us5r]

He captures the value of state variable. Did it make things more clear?

[@ajaisingh9129]

@@user-vg7zv5us5r yes thank you so much

[@user-vg7zv5us5r]

@@ajaisingh9129 no problem)

[@user-vg7zv5us5r]

@@ajaisingh9129 no problem)

[@siddhanttandon6246]

am i the only one who thinks this lecture was damn funny ? PS : 26:19 so much fame on this board. lmao

[@user-vg7zv5us5r]

29:12 Normalization - regularization.

[@DiegoAndrade]

Hahaha 🎉 bananas 😄😄😄😄

[@user-vg7zv5us5r]

6:56 g=a(y) mechanics xP