A friendly introduction to linear algebra for ML (ML Tech Talks)

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  • เผยแพร่เมื่อ 25 มิ.ย. 2024
  • In this session of Machine Learning Tech Talks, Tai-Danae Bradley, Postdoc at X, the Moonshot Factory, will share a few ideas for linear algebra that appear in the context of Machine Learning.
    Chapters:
    0:00 - Introduction
    1:37 - Data Representations
    15:02 - Vector Embeddings
    31:52 - Dimensionality Reduction
    37:11 - Conclusion
    Resources:
    Google Developer’s ML Crash Course on Collaborative Filtering → goo.gle/3pAVXM6
    Eigenvectors and Eigenvalues” by 3Blue1Brown → goo.gle/3pECpWU
    Introduction to Linear Algebra” (5th ed) by Gilbert Strang → goo.gle/2RFR1sP
    Catch more ML Tech Talks → goo.gle/ml-tech-talks
    Subscribe to TensorFlow → goo.gle/TensorFlow
  • วิทยาศาสตร์และเทคโนโลยี

ความคิดเห็น • 191

  • @KSayar
    @KSayar ปีที่แล้ว +21

    This is fantastic. So clear, so accessible. I couldn't help thinking "what a nice way to explain it" many times while watching it.

  • @EvertRoz
    @EvertRoz 3 ปีที่แล้ว +7

    Not only a friendly introduction but also a friendly person to listen to. Very well done. Thanks.

  • @ib_parametres724
    @ib_parametres724 หลายเดือนก่อน +2

    Years of learning linear algebra and this roughly 40 min video just put everything into perspective, wow. I had picked up Steve Brunton's Data-Driven Science and Engineering book a few years ago to learn data science and just a few pages in, I run into SVD and all these terminologies that he provided codes for how to compute, but I was just missing the whole point. Watching this video, I think most of those concepts make sense now. Thanks, Tai-Danae Bradley and TensorFlow, for this simple and clear explanation.

  • @waatchit
    @waatchit 3 ปีที่แล้ว +14

    Wow. What a lecture. Tons of info in. Such a short span of time with great clarity. Need more of such short and sweet lectures. Big thanks to the lecturer.

  • @powerranger3223
    @powerranger3223 2 ปีที่แล้ว +3

    I am such a visual learner and appreciate all the diagrams and color coding it made everything so much more clearer!!!

  • @trackhero2714
    @trackhero2714 3 ปีที่แล้ว +80

    I would looove to learn more maths from Tai-Danae Bradley. This just popped up in my feed and I love how she explains stuff. Great teaching right here.

    • @vandalphilosopher1971
      @vandalphilosopher1971 3 ปีที่แล้ว +5

      You can try with the last videos of PBS Infinite Series, she hosted many videos towards the the end of the active period of the channel.

    • @CamiloAM20
      @CamiloAM20 3 ปีที่แล้ว +2

      She has a blog! Math3ma

    • @Ash-bc8vw
      @Ash-bc8vw 2 ปีที่แล้ว

      check out her math blog called mathema

    • @informativecontent4778
      @informativecontent4778 ปีที่แล้ว +1

      @@CamiloAM20 share link plz

  • @Galmion
    @Galmion 3 ปีที่แล้ว +24

    I would love it if you were to upload more long-form talks like this one. amazing content!

  • @JBoy340a
    @JBoy340a 3 ปีที่แล้ว +78

    One of the best talks I have ever seen on Math and ML.

    • @MichaelMantion
      @MichaelMantion 2 ปีที่แล้ว +2

      That is sad... very very sad.

    • @ShaunYCheng
      @ShaunYCheng 2 ปีที่แล้ว +1

      Any other recommendations?

  • @abiiranathan
    @abiiranathan 3 ปีที่แล้ว +4

    The best talk I have ever seen. I smiled when she explained issues I have always struggled with and I left feeling like an expert...Her warm smile and sweet voice is mind blowingly calming

  • @nabeelhasan6593
    @nabeelhasan6593 3 ปีที่แล้ว +163

    This is a beautiful example of how mathematics should be explained

    • @zrmsraggot
      @zrmsraggot 3 ปีที่แล้ว +5

      Go check 3b1b series they are amazing

    • @Artaxerxes.
      @Artaxerxes. 3 ปีที่แล้ว +13

      @@zrmsraggot She did mention 3b1b at the eigenvectors and dimensionality reduction part. Just noticed they even linked 3b1bs vids which is nice

    • @aaroncowan7283
      @aaroncowan7283 2 ปีที่แล้ว +2

      @@zrmsraggot She was recently featured on his podcast as well!

    • @MichaelMantion
      @MichaelMantion 2 ปีที่แล้ว +4

      Really? I thought it was rambling, repetitive yet lacking.

    • @zoemoorton9570
      @zoemoorton9570 2 ปีที่แล้ว +1

      The most accurate statement on the internet.

  • @ToreyLittlefield
    @ToreyLittlefield 3 ปีที่แล้ว +5

    Thank you for the video. As someone learning ML and with a little rusty linear algebra understanding this was a perfect intro. 👍

  • @bluestar2253
    @bluestar2253 3 ปีที่แล้ว +6

    Bravo! One of the best intro to Linear Algebra videos I've come across on YT!

  • @gnsmrkyy7343
    @gnsmrkyy7343 3 ปีที่แล้ว +5

    Love the way you put cartoons and examples. Need more courses like this!

  • @narongsakkerdpol1211
    @narongsakkerdpol1211 3 ปีที่แล้ว +2

    I subscribed just after a few minutes of listening. I’m a dad and my son will be studying computer engineering this fall. You made linear algebra fun again. Please keep more of math and related topics coming soon. Looking forward to more math.

  • @supersql8406
    @supersql8406 3 ปีที่แล้ว +2

    Finally! An advanced topics such as Linear Algebra for ML!!

  • @HitAndMissLab
    @HitAndMissLab 3 ปีที่แล้ว +3

    @Ms Bradley: Amazing! These intuitive overviews are so rare, but yours is just short of brilliant. Thank you very much.

  • @ulugbeksalaev3399
    @ulugbeksalaev3399 2 ปีที่แล้ว +2

    I don't believe that she is only a mathematician. Very nice explanation from a mathematician I have ever seen.

  • @abderrahimbelissaoui2739
    @abderrahimbelissaoui2739 3 ปีที่แล้ว +1

    I had a good linear algebra background before but now many things are clearer than before. Thanks for creating this content, looking forward to watching more similar videos on this channel!

  • @markusdegen6036
    @markusdegen6036 3 ปีที่แล้ว +54

    Love the simplicity of your explanations. Keep on doing that :-)

  • @chaochaisit
    @chaochaisit 2 ปีที่แล้ว +6

    Excellent presentation and voice! Math should always start with intuition and not generalized formula. Love this!

  • @therightangle6033
    @therightangle6033 2 ปีที่แล้ว +8

    Really well presented. Direct, relaxed and educational.... highly recommended

  • @bac9982
    @bac9982 3 ปีที่แล้ว

    My only complaint is that this isn’t in the top rated videos on TH-cam! This was such a well thought out lecture that covered things at a high level with just enough of a dip into the deep end to keep you wanting more. I realize not everyone needs this kind of information, but for those of us that are just getting started (the ones listening to people seemingly speak in a foreign language about math), this video is amazing! If you’re at all confused about all the data science related linear algebra that all the people around you are talking about, this will at least get you over the hump and moving in the right direction. Thank you for taking the time to make this and thank you so much for what you do to make the world a better place for us all!

  • @zhuoyuelyu
    @zhuoyuelyu 3 ปีที่แล้ว +20

    Great video! Thank you for creating this! 👏

  • @IIAyogu
    @IIAyogu 3 ปีที่แล้ว +3

    Extremely illuminating. This is a great example of how to motivate learners. Please keep the videos coming.

  • @amosmunezero9958
    @amosmunezero9958 3 ปีที่แล้ว +1

    Coming from Computer science background, lady you are genius! man I have done College Linear Algebra and ML courses, but your explaination really made me appreciate these concepts much more - So thank you and God bless you!

  • @AbhisarMohapatra
    @AbhisarMohapatra 3 ปีที่แล้ว +4

    Man , this video is like an supercharged energy pill. So so good ✌️

  • @salehmir9205
    @salehmir9205 3 ปีที่แล้ว +14

    Please do more content like this!

  • @paedrufernando2351
    @paedrufernando2351 2 ปีที่แล้ว +1

    I cant thank you enough for this detour...this came at the right moment when I wanted a context

  • @edu-physics374
    @edu-physics374 3 ปีที่แล้ว +4

    Thank you, it is an interesting topic. How you explained also in a simple way of understanding. We are waiting to listen to another episode of this type of stuff.

  • @ricardolourencosilva1741
    @ricardolourencosilva1741 2 ปีที่แล้ว +1

    One of the best tutorials, I've seen. Congrats!

  • @pamelamunkupa95
    @pamelamunkupa95 3 ปีที่แล้ว

    I wasn't gonna watch this but your pulling force is outta this world. Thank you for this great explanation.

  • @zoemoorton9570
    @zoemoorton9570 2 ปีที่แล้ว

    I really really needed this, thank you so much! The way you explain everything is so clear and down to earth.

  • @dipmadk.b5774
    @dipmadk.b5774 3 ปีที่แล้ว +1

    Yes Mam please do more content like this.. i feel that in my journey of Learning need a teacher or Mentor like you❤️(Respect)

  • @GaryFerrao
    @GaryFerrao 2 ปีที่แล้ว +1

    Oh. Where have i seen Tai-Danae? So many years ago at PBS Infinite Series!~ So glad to see her again 😄

  • @van-haunguyen4590
    @van-haunguyen4590 3 ปีที่แล้ว +1

    concise and easy to understand. A brilliant work! Thank you.

  • @tanphan3970
    @tanphan3970 3 ปีที่แล้ว +2

    I spent much time to understanding these knowledges in the past. Your presentation in this video help me to good view for algebra in ML.
    Thank so much, I hope TensorFlow channel will post more same contents (comprehensive view in a topic)

  • @aiwithaz
    @aiwithaz 3 ปีที่แล้ว +2

    Amazing!! Really found going straight to the application very useful!

  • @adamlasry1691
    @adamlasry1691 2 ปีที่แล้ว +2

    What a great teacher! Thank you so much, Miss.

  • @kailashbtw9103
    @kailashbtw9103 9 หลายเดือนก่อน +1

    THIS is incredible, thank you so much Tai-Danae Bradley! Women in STEM rock! I am a girl working on her CS undergrad with an interest in machine learning and data science. I Had linear algebra already, and am taking regression models this semester. It is so incredible to me how these two subject I love intertwine to much.

  • @ulker17
    @ulker17 2 ปีที่แล้ว

    Just wow! most relaxing and beautifully explained math/ML lecture I have listened to!

  • @DataMaking
    @DataMaking 7 หลายเดือนก่อน

    Wow, oh my god, simply superb. I am commenting this message before completely watching this video. You explained very nicely all the concepts here. Big thank you for sharing this knowledge. Appreciate it Madam.

  • @meniscusmedical2471
    @meniscusmedical2471 4 หลายเดือนก่อน

    Mindblowingly good, when you go through life and math teachers don't know how to teach this and you find this one math teacher who after years makes it go Aah so that's what you mean? That's what this amazing lady's lecture will do for 170,000+ viewers watching this. It's a like from me.

  • @mohamedfarah5306
    @mohamedfarah5306 2 ปีที่แล้ว +1

    Appreciate the clear explanation of some concepts that I struggled with (SVD). I hope you can do more videos of ML.

  • @arturorenteria4943
    @arturorenteria4943 3 ปีที่แล้ว +6

    Thank you very much, a simple and very useful presentation!

  • @filipesan
    @filipesan 2 ปีที่แล้ว +1

    Wonderful introduction to the topic. It made me understand so much better the connection between algebra and ML. It also made me understand much better what algebra is, as algebra was always explained to me in a very abstract way.
    Thank you for the video.

  • @SAAARC
    @SAAARC 3 ปีที่แล้ว +1

    Excellently done! Loved the video. And I actually understood everything!

  • @daniel_caron
    @daniel_caron 2 ปีที่แล้ว +5

    Definitely one of the most insightful LA/ML talks on TH-cam. Thanks!

    • @harold.one.feather
      @harold.one.feather 11 หลายเดือนก่อน

      Use Google, 3Blue1Brown is much better

  • @eggressive_
    @eggressive_ 2 ปีที่แล้ว

    This presentator really good at elaborate! She really has a good intonation and voice!

  • @ogbeideaghahowa9004
    @ogbeideaghahowa9004 2 ปีที่แล้ว

    Wow! This must have taken a lot of time and effort to create. Thank you so much! You explain mathematics fantastically well.

  • @NoNTr1v1aL
    @NoNTr1v1aL ปีที่แล้ว +2

    Absolutely amazing video!

  • @lioncaptive
    @lioncaptive 2 ปีที่แล้ว

    An excellent intro to Linear Algebra and its usefulness in ML that's further propelled by your clear communication skills.

  • @sammetsa
    @sammetsa 3 ปีที่แล้ว +1

    Fantastic! Just what I’ve been looking for 😀

  • @kenwee6527
    @kenwee6527 ปีที่แล้ว

    Thank you so much for this video! You are an amazing communicator and have such a great intuitive feel for the subject! Thank you for helping me understand!

  • @SiphoNgwenya
    @SiphoNgwenya 3 ปีที่แล้ว +1

    This was fun! Excellent talk!

  • @sugiv
    @sugiv ปีที่แล้ว

    Beautiful voice, pace, flow and content. Thanks. Great session. Thanks

  • @jakejesus8904
    @jakejesus8904 ปีที่แล้ว

    Fantastic explanation!. with this video my Machine Learning path becomes clearer.

  • @ravishasharma1219
    @ravishasharma1219 ปีที่แล้ว

    Lovely flow of explanation!

  • @pritish3484
    @pritish3484 3 ปีที่แล้ว +2

    Thank you. Simple, beautiful.

  • @manajitdas7619
    @manajitdas7619 3 ปีที่แล้ว +4

    Thanks, it simple, nice and crisp...thanks a lot

  • @henrytzuo8517
    @henrytzuo8517 9 หลายเดือนก่อน +2

    Thank you for the clear illustration!😊😊😊

  • @datouch
    @datouch 3 ปีที่แล้ว +1

    Thanks for the video. Such great and simple explanations.

  • @gustavojuantorena
    @gustavojuantorena 3 ปีที่แล้ว +3

    Great video. I hope you do more like this in the future.

  • @balaramkantipudi3728
    @balaramkantipudi3728 ปีที่แล้ว

    She did a fantastic job in explaining linear algebra behind ml

  • @Mohamed-um4rg
    @Mohamed-um4rg 3 ปีที่แล้ว +4

    Can be best presentation I have seen since long time . 👌👏

  • @nblaise21
    @nblaise21 2 ปีที่แล้ว

    The best explanation I've seen, thank you so much!

  • @samuelkim5112
    @samuelkim5112 ปีที่แล้ว

    Simply exquisite! Thank you sincerely

  • @modisaramoleko7220
    @modisaramoleko7220 3 ปีที่แล้ว +5

    Hey there. Love your work at Black In AI. Beautiful to see different faces for once in a field of science and technology. Kudos

  • @TylerMatthewHarris
    @TylerMatthewHarris 3 ปีที่แล้ว +6

    Heyy! Tai-Denae from Infinite Series

  • @ManuelBasiri
    @ManuelBasiri 2 หลายเดือนก่อน

    What an amazing presentation. Thank you 😊

  • @priyavenkatesan1804
    @priyavenkatesan1804 2 หลายเดือนก่อน

    Amazing explanation of complex topics in an easy to understand manner! Appreciate Math so much more now

  • @mehmetkaya4330
    @mehmetkaya4330 2 ปีที่แล้ว

    This is just great! Thank you for the super video!!!!

  • @Salman-cx8qk
    @Salman-cx8qk 3 ปีที่แล้ว

    Seriously underrated channel 👍

  • @ten2the6
    @ten2the6 2 ปีที่แล้ว +1

    Well done and much appreciated!

  • @haneulkim4902
    @haneulkim4902 2 ปีที่แล้ว

    Amazing explanation! Thanks a lot Tai-Danae :)

  • @johnnovotny4286
    @johnnovotny4286 2 ปีที่แล้ว

    Excellent lecture. Pure magic.

  • @Timjstewart
    @Timjstewart 2 ปีที่แล้ว

    Fascinating! Thank you!

  • @75hilmar
    @75hilmar 2 ปีที่แล้ว +2

    The intro was very strong with many basic ideas that are really necessary for understanding these topics but I lost track somewhere around the middle. I suppose you could have called it a day after the first half and turn the second half into three to four equally interesting and informative sequels. Other than that you really went deep on picking new students up at the beginning and it has helped me a great deal with refreshing this important topic's basics.

  • @Abc-sl1nf
    @Abc-sl1nf 7 หลายเดือนก่อน

    That was a great explanation..Thank you!!

  • @millerdane
    @millerdane 3 ปีที่แล้ว +1

    I don't know how this came up in my feed but I am so glad. thanks youtube

  • @exponode
    @exponode 3 ปีที่แล้ว +5

    I'm doing my specialization in Datascience and this is very helpful for me Thanks For The Guide, SVD is awesome, Love this !

  • @faraazali9589
    @faraazali9589 2 ปีที่แล้ว

    Thank you for this video. You are such a great teacher.

  • @uty6595
    @uty6595 2 ปีที่แล้ว +1

    thanks for the clear and simple explanation, maybe there is machine learning hope for me afterall :)

  • @harold.one.feather
    @harold.one.feather 11 หลายเดือนก่อน

    Linear algebra is a branch of mathematics that deals with vectors and matrices. Vector geometry is the study of geometric objects using vectors. Together, these two branches of mathematics can be used to interpret the dynamics of multidimensional space.
    One way to do this is to use linear algebra to represent the state of a system as a vector. The state of a system can be anything that can be described by a set of numbers. For example, the state of a particle in space can be described by its position and velocity. The state of a financial market can be described by the prices of stocks and bonds.
    Once the state of a system is represented as a vector, we can use linear algebra to study how the system changes over time. For example, we can use linear algebra to model the motion of a particle, the evolution of a financial market, or the spread of disease.
    In vector geometry, we can use vectors to represent forces, velocities, and accelerations. We can also use vectors to represent geometric objects such as lines, planes, and spheres.
    By combining linear algebra and vector geometry, we can develop a powerful mathematical framework for interpreting the dynamics of multidimensional space. This framework can be used to study a wide variety of systems, from the motion of particles to the evolution of financial markets.
    Here are some examples of how linear algebra and vector geometry can be used to interpret the dynamics of multidimensional space:
    * In physics, linear algebra is used to model the motion of particles, waves, and fields.
    * In chemistry, linear algebra is used to study the structure of molecules and the interactions between molecules.
    * In biology, linear algebra is used to study the structure of DNA and the dynamics of protein folding.
    * In finance, linear algebra is used to model the price movements of stocks, bonds, and other financial assets.
    * In computer science, linear algebra is used to develop algorithms for image processing, machine learning, and data mining.
    The applications of linear algebra and vector geometry to the interpretation of the dynamics of multidimensional space are vast and varied. These two branches of mathematics provide a powerful tool for understanding the behavior of complex systems.

  • @masudcseku
    @masudcseku 3 ปีที่แล้ว +1

    Great introduction in linear algebra ;)

  • @dareljohnson6518
    @dareljohnson6518 3 ปีที่แล้ว +1

    This was awesome!

  • @bimonte
    @bimonte 3 ปีที่แล้ว

    Excellent material!

  • @t2udu
    @t2udu 3 ปีที่แล้ว

    I don't consider myself bright, and I have only a passing interest in ML. But I was completely able to follow everything said here (granted it wasn't technical), and I suspect it's because of the skills of the content creator. Really good watch!

  • @adage3256
    @adage3256 2 ปีที่แล้ว +2

    Reminds me again that masters in a subject can explain the concept simply while not loosing the essence of it. Well done Tai-Danae Bradley!

  • @RatherBeCancelledThanHandled
    @RatherBeCancelledThanHandled 2 ปีที่แล้ว

    Well done ; very thorough

  • @tedsheridan8725
    @tedsheridan8725 16 วันที่ผ่านมา

    Great lecture! Really easy to follow. Even being familiar with Lin Alg, this gave me some cool insights on Data Science.

  • @bornkool
    @bornkool 2 ปีที่แล้ว +1

    WoW, ThankYou very much, This is great please explain ways we can use this math in practical ways. You Rock!!!!!!!!

  • @rcookman
    @rcookman 3 ปีที่แล้ว

    great resource and interesting too. great job

  • @Tubingonline1
    @Tubingonline1 3 ปีที่แล้ว +1

    Thank you for this superb video.

  • @juderoosevelt2817
    @juderoosevelt2817 4 หลายเดือนก่อน

    Quite Useful.. thank you so much

  • @goelnikhils
    @goelnikhils ปีที่แล้ว

    Damn good explanation on Embeddings. Damn good

  • @informativecontent4778
    @informativecontent4778 ปีที่แล้ว +1

    Such a great mathematician

  • @user-zl4nh7ws4k
    @user-zl4nh7ws4k 2 หลายเดือนก่อน

    I love your explanation

  • @JFaleiroJR
    @JFaleiroJR 2 ปีที่แล้ว

    Great video. Mathematics explained the way it should be. Will make sure to send this video to beginners in ML wanting to get to the basics of linear transformations. If I could make one suggestion, would be to drill a bit deeper in math, not much, just high school level. It would help students in connecting the subject to why they are seeing in the classroom. Good job.

  • @natal8261
    @natal8261 ปีที่แล้ว

    inspiring and, although I don't really deal with mathematics, I can see how brilliant this is!

  • @mskaesz
    @mskaesz ปีที่แล้ว +1

    Excellent!!