What is Sparsity?

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  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 43

  • @samre3006
    @samre3006 4 ปีที่แล้ว +37

    Life would be so much better when they teach about applications before dry theory as motivation. I am very thankful for these amazing videos.

    • @Eigensteve
      @Eigensteve  4 ปีที่แล้ว +4

      Couldn't agree more!

  • @toastrecon
    @toastrecon 4 ปีที่แล้ว +45

    When I was 10, I got up early on a Saturday for the Smurfs. Now, I get up early for Sparsity. No commercial interruptions. All that's missing is some Lucky Charms.

    • @TheMazyProduction
      @TheMazyProduction 4 ปีที่แล้ว +5

      For me it was spongebob how it’s generative models.

  • @matveyshishov
    @matveyshishov 2 ปีที่แล้ว +4

    Thank you so much, Steve! You're connecting the practical implementations with the underlying math incredibly seamlessly, almost a work of art!

  • @ATXMEG
    @ATXMEG 4 ปีที่แล้ว +20

    Many thanks indeed for providing such great lectures and sharing it with us. :)

  • @shanesteinberg8161
    @shanesteinberg8161 4 ปีที่แล้ว

    Thank you Steve. Your TH-cam videos are a great balance of accessibility of quick bite-sized concepts without the lowering of discussion to menial examples.

  • @andrezabona3518
    @andrezabona3518 4 ปีที่แล้ว +1

    Omg, I'm completely in love for signals because of you!! Hope doing something cool soon with all this!

  • @koukous95
    @koukous95 ปีที่แล้ว

    Thank you very much for these amazing and well detailed videos, I'm actually working on my Master's degree thesis about cognitive radio and these videos helped a lot in the compressed sensing chapter!

  • @nahashonosinde9163
    @nahashonosinde9163 4 ปีที่แล้ว

    Thank you Professor Steve. Just what I was looking for! Your tutorials have helped me in my masters in Control engineering, and this new series is a helping hand at the start of my PhD.

  • @msoulforged
    @msoulforged 4 ปีที่แล้ว +1

    7:30 When the metalhead in you kicks in \\m// :) One question, what is a quantitative measure of sparsity? Like how much percentage of elements should be zero to count a matrix as sparse?

  • @sat1915
    @sat1915 2 ปีที่แล้ว

    You just made it super interesting. Hats off.

  • @ShashwatPandeyindia
    @ShashwatPandeyindia 4 ปีที่แล้ว

    Dear Steve... your lectures are a blessing. Thank you so much 🙏

  • @kidconnitv9774
    @kidconnitv9774 3 ปีที่แล้ว

    What a time to be alive!

  • @MaksymCzech
    @MaksymCzech 4 ปีที่แล้ว +2

    Thank you for the video, great as usual

  • @mosaicspark2372
    @mosaicspark2372 4 ปีที่แล้ว +1

    Holy shit man, I just discovered your channel and it feels like I have found a gold mine! There are soo many useful videos that I don't even know where to begin. Is there any way to support your work so you can continue creating this wonderful content? Patreon, Paypal, Donations?

  • @symbolxchannel
    @symbolxchannel 4 ปีที่แล้ว

    Dimensionality reduction is simply awesome!

  • @brandonwilson8115
    @brandonwilson8115 4 ปีที่แล้ว +2

    Just out of curiosity, are you writing backwards, or are you flipping the image with software? Very interesting and effective video making setup.

    • @SridharNag
      @SridharNag 3 ปีที่แล้ว +1

      same here, even i would like to know the same

    • @yosily
      @yosily 2 ปีที่แล้ว

      I had the same question

  • @SRIMANTASANTRA
    @SRIMANTASANTRA 4 ปีที่แล้ว

    Hi Professor Steve, Thanks for the nice idea shear with us.

  • @sumant9189
    @sumant9189 4 ปีที่แล้ว +1

    Thanks professor.

  • @andersonsen1989
    @andersonsen1989 4 ปีที่แล้ว

    Thank you so much for the lectures!

  • @omar_5352
    @omar_5352 4 ปีที่แล้ว

    I just wish this was available 30 years back when I worked on video compression. Great material and well presented indeed. But as far as I recall JPEG relied on DCT, not DFT.

    • @Andres186000
      @Andres186000 3 ปีที่แล้ว

      I think JPEG may have originally relied on DFT and then was updated to DCT to deal with gibbs phenomena when compressing images with sharp edges

  • @zrmsraggot
    @zrmsraggot 2 ปีที่แล้ว

    Is the the sum of the values in the sparse S 'equals to 100%' like they are the whole values that play a role in the equation ?

  • @dixshants1227
    @dixshants1227 ปีที่แล้ว

    Thank you for the video! very helpful! is it possible that some basis gives us a more sparse result than others? Like here the DFT may give us 10 non-zero entries of a 1mil entry image, but what happens if we use a different transform that gives us 5 or 20 non-zero entries? Does that make a difference and is it in our interest to look for transforms that keep increasing the sparsity?

  • @mehrabzamanian581
    @mehrabzamanian581 2 ปีที่แล้ว

    Useful and concise

  • @commonwombat-h6r
    @commonwombat-h6r 4 ปีที่แล้ว

    love those lectures

  • @subhadeepmandal3092
    @subhadeepmandal3092 ปีที่แล้ว

    In Tailored Basis what is epsilon r and Vr?

  • @JoaoVitorBRgomes
    @JoaoVitorBRgomes 4 ปีที่แล้ว

    Obrigado, Steve! Things make more sense now.

  • @Garganzuul
    @Garganzuul 4 ปีที่แล้ว

    I suspect sparsity and structure might be the same thing. I think that translates to a high degree of linear independence being more informative. Then information is something which is less dependent on circumstance.

  • @lucaborgese96
    @lucaborgese96 4 ปีที่แล้ว +1

    Thank you very much

  • @kane_8t
    @kane_8t 9 หลายเดือนก่อน

    Man u look like HG Wells from flash series ....luv ur videos ❤

  • @doctorpoosa
    @doctorpoosa 4 ปีที่แล้ว +1

    Thanks for these amazing videos! I really appreciate if you could talk a little bit about L0 norm also. Thank you!

  • @Victor-dh5us
    @Victor-dh5us 3 ปีที่แล้ว

    Thank You !

  • @anangsuwasto8678
    @anangsuwasto8678 4 ปีที่แล้ว

    Amazing explanation!! :)

  • @prashantsharmastunning
    @prashantsharmastunning 4 ปีที่แล้ว +1

    super super interesting

  • @gammygoogur
    @gammygoogur 3 ปีที่แล้ว

    for what its worth jpeg uses discrete cosine transform and not discrete fourier transform - awesome vids tho

  • @miguelfernandesdesousa7784
    @miguelfernandesdesousa7784 3 ปีที่แล้ว

    steve brunton in 1440p oh my god

  • @mysterylearning4181
    @mysterylearning4181 2 ปีที่แล้ว

    But how is he writing everything backwards so easily...?