Physics-Informed Dynamic Mode Decomposition (PI-DMD)

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  • Опубликовано: 13 янв 2025

Комментарии • 21

  • @sergios4214
    @sergios4214 2 года назад +22

    Research groups making videos like these to explain their research should become standard procedure!

  • @Mutual_Information
    @Mutual_Information 2 года назад +10

    Very interesting. One thing I’m surprised by is that you can model these dynamics with repeated matrix multiplication in the observed space (pixels). Maybe I’m just used to Kalman Filters.. but I’d guess the first step is to assume some to-be-learn function that maps to a lower dimensional latent space.. and then there you apply repeated matrix multiplies.
    Very cool. These patterns are beautiful.. it seems repeated matrix multiplication is a lot more flexible than I thought

  • @the_nuwarrior
    @the_nuwarrior 2 года назад +2

    Benjamin fue profesor mio en la FCFM , es impresionante que colabore en investigaciones de prestigio.

  • @amaningowi1671
    @amaningowi1671 2 года назад

    great advancement in data modelling , great presentation brother

  • @amitbhaya384
    @amitbhaya384 2 года назад +1

    Clear and excellent presentation. A little typo on the slide shown at 17:10: you refer to MATLABs backslash, but what appears on the slide is an ordinary (front)slash.

    • @peterj.baddoo3813
      @peterj.baddoo3813 2 года назад

      Thanks for spotting this! The slide is correct but I should have said "frontslash" (www.mathworks.com/help/matlab/ref/mrdivide.html).

  • @Taka-mn4sw
    @Taka-mn4sw Год назад +1

    R.I.P. Dr. Baddoo

  • @have_a_nice_day399
    @have_a_nice_day399 2 года назад

    Interesting idea and nice presentation. Thank you!

  • @moiseszarzuela4673
    @moiseszarzuela4673 Год назад

    Hello, I would like to use this in my thermal project, but it also has a signal q that enters the system. Is it possible to integrate it?

  • @afammadudaniel2982
    @afammadudaniel2982 2 года назад +1

    Thank you so much. What a wonderful presentation. I learned about PiNN early this year from my mentor and I have been studying it in order to apply it in my research in Quantum sensing and Many body systems. I am Interested in how you applied it to Quantum physics, how did you deal with encoding the underlying physics prior of a system whose state is inherently probabilistic? For example in fermionic systems where measurement destroys the quantum state.

  • @ashutoshsingh-et7vm
    @ashutoshsingh-et7vm 2 года назад

    Nice lecture , @Steve Brunton sir waiting for LCS further lecture

  • @JousefM
    @JousefM 2 года назад

    Very nice presentation!

  • @javeriaayub6203
    @javeriaayub6203 2 года назад

    How DMD is useful to plot basin of attractor of a chaotic attractor?

  • @nimadehghai
    @nimadehghai Год назад

    RIP Peter Baddoo

  • @Eltro101
    @Eltro101 2 года назад

    Can you use a convolution instead of a circulant matrix?

  • @oncedidactic
    @oncedidactic 2 года назад +1

    Very elegant!

  • @ishitasaraswat6450
    @ishitasaraswat6450 2 года назад +1

    Sir can you please make a video on continuous and discrete dynamical systems. How are they related?

    • @wanikhawar
      @wanikhawar 2 года назад +1

      Read any introductory book like Strogatz.

  • @SherriMSDRML-qm1pe
    @SherriMSDRML-qm1pe 2 года назад +1

    This message is for Steve Burton it is a pleasure to finally be able to leave a message I've been taking your class for The Last 5 Years online on RUclips Plus my professor Joseph George new physics with Joseph George his wife him and myself plus his son. We have a different Theory on dark matter. Dark hoes. We would like your expertise please? If you could look at what my professor is at in his research with him and his wife and son could you review it and if you could give us 2% more than what we had before yesterday would be fine thank you sir. I'm a theoretical scientist and a sophomore in Applied Mathematics which I enjoy the most is the implied mathematics.! Thank you so much just an old cowboy.:-)

    • @chrisw3327
      @chrisw3327 Год назад

      Was it a snowboarding class?

    • @JFrames
      @JFrames 9 месяцев назад

      @@chrisw3327 No, it was a dance class