Nice Lecture Steve. Regarding my personal experience with SINDy, data normalization may also be critical. I suggest you comment this point in a future lecture.
So if this sparse identification works on a temporal domain, will there be other sparse identification algorithms work on e.g. geometry domain like shape morphing, or design parameters domain e.g. with different boundary conditions?
The integral trick seems kind of reminiscent of the approach in finite element analysis. It's been a minute, but I think the upshot was that it lets you relax the assumption of differentiability, so you could have, for instance, a rod whose stiffness or conductivity or whatnot changes discontinuously. I'm wondering if you could do something similar here by having, say, a step function in your library of candidate functions, even though it doesn't really have a derivative in the normal sense.
Hi Prof! I have a doubt what if we only have x measurement data, is it possible that SINDy can still identify the correct dynamics in some way? I have checked through the normal procedure it isn't working also I have read about the HAVOK method. Can we apply this method in PySINDy?
If we want to design a control algorithm for a complex dynamic system which is not easy to give it's pde，we can use SINDy to learn it directly from data，then everything will be simple，just use tool we learned in Automatic Control System to design the control system。it is so cool！I really want to go back school again and do research for it if I have chance！ Science is so cool and business is so boring。
Has anyone used SINDy to construct SGS models? There is limited number of independent tensors when constructing SGS models, and there have been lots of debates which ones to choose. SINDy might just make a closure on that debate.
And we got all of this education for free, What a time to be alive.
Nice Lecture Steve. Regarding my personal experience with SINDy, data normalization may also be critical. I suggest you comment this point in a future lecture.
It is one of the best videos I have seen. Awesome job, I hope our profs had such skills in describing difficult concepts in such understandable
uploaded at 3:30 am Pacific?
Hype!
I liked that explanation of why the integral is there at 8:30 or so
great job! wish i did my PhD w you 20 years ago :) and with current capacities.
Hi, i'm a physics student, your videos are really awesome, hope to see the next
thnx very mach for ur clearly Explanation
Thank you. Please do you think I can use Sindy for modelling a building for a temperature and humidity control with MPC?
So if this sparse identification works on a temporal domain, will there be other sparse identification algorithms work on e.g. geometry domain like shape morphing, or design parameters domain e.g. with different boundary conditions?
The integral trick seems kind of reminiscent of the approach in finite element analysis. It's been a minute, but I think the upshot was that it lets you relax the assumption of differentiability, so you could have, for instance, a rod whose stiffness or conductivity or whatnot changes discontinuously. I'm wondering if you could do something similar here by having, say, a step function in your library of candidate functions, even though it doesn't really have a derivative in the normal sense.
Great work.. do collecting more initial condition mean that it is nonlocal?
Hi Prof! I have a doubt what if we only have x measurement data, is it possible that SINDy can still identify the correct dynamics in some way?
I have checked through the normal procedure it isn't working also I have read about the HAVOK method. Can we apply this method in PySINDy?
When the data is noisy, sampling for longer may give a good prediction of the model
And how to solve slow frequency measurements? There are works in this front?
Is the integral SINDy supported in PySINDy?
If we want to design a control algorithm for a complex dynamic system which is not easy to give it's pde，we can use SINDy to learn it directly from data，then everything will be simple，just use tool we learned in Automatic Control System to design the control system。it is so cool！I really want to go back school again and do research for it if I have chance！ Science is so cool and business is so boring。
Very interesting
Please add subtitles to this video
Love it!
Has anyone used SINDy to construct SGS models? There is limited number of independent tensors when constructing SGS models, and there have been lots of debates which ones to choose. SINDy might just make a closure on that debate.
🖖
great! 🥰🥰
how do you write like that? I want to learn how to make videos like that.
Still want to know?
@@jeromewalker842 yes , thank you!
@@jeromewalker842 no, i mean in all your videos you write like on screen, how do u do that?
@@jeromewalker842 thats not even your channel.