Putting DATA in Hilbert Spaces: Proving the Riesz Theorem (Theory of Machine Learning)

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  • Опубліковано 2 лют 2025

КОМЕНТАРІ • 13

  • @mohammedbelgoumri
    @mohammedbelgoumri 9 місяців тому +5

    Absolute perfection! Would be great to see the Hann Banach theorem next, perhaps applied to proving the universal approximation theorem?

    • @JoelRosenfeld
      @JoelRosenfeld  9 місяців тому +1

      That is in the plans, but I’ll need to do some work developing measure theory and that version of the Riesz theorem. I’ll probably cover universal approximation with kernels first and later neural networks

  • @mriz
    @mriz 9 місяців тому +2

    Found out your channel from algorithm rec. Thank you so much for higher math content, Sir! ❤❤

    • @JoelRosenfeld
      @JoelRosenfeld  9 місяців тому +1

      I'm glad you like it! Welcome!

  • @tsnp423
    @tsnp423 9 місяців тому +1

    This is brilliant stuff! Thank you!

  • @MuhammmadAshiqultimate
    @MuhammmadAshiqultimate 9 місяців тому +2

    this is great, thank you. i'm interested in a lot of things learning-related and functional-analysis-related (deep learning theory, operator learning, continuous optimization, etc. etc.), so i will definitely be keeping up with this series! but, i am only (almost) through one semester of analysis... will hopefully get to this fun stuff formally by the end of undergrad :P

    • @JoelRosenfeld
      @JoelRosenfeld  9 місяців тому +1

      Sounds great! I will eventually touch on all of those topics down the line. What would you like to know about operator learning in particular?
      I also have an analysis sequence on my channel, if you haven’t seen it yet.

  • @דורוןגרינשטיין
    @דורוןגרינשטיין 9 місяців тому +2

    Great! btw, Hilbert wrote mostly during the end of the 19th century and the begining of the 20th

  • @scottish_cafe
    @scottish_cafe 9 місяців тому +1

    Getting this video in suggestions having Walter Rudin's Functional Analysis right next to me, I wonder if it's destiny or if ML is using my laptop's camera to give me well-tailored suggestions :D regardless - a very informative and well-produced video!

    • @JoelRosenfeld
      @JoelRosenfeld  9 місяців тому +1

      Thank you! I'm glad you liked it. I hope I can deliver more timely content lol!

  • @francd6535
    @francd6535 9 місяців тому +2

    the rizz theorem??

    • @JoelRosenfeld
      @JoelRosenfeld  9 місяців тому +1

      I hear that Riesz went by Dr Rizz at parties lol jk