Neural Networks Part 8: Image Classification with Convolutional Neural Networks (CNNs)

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  • Опубликовано: 20 июн 2024
  • One of the coolest things that Neural Networks can do is classify images, and this is often done with a type of Neural Network called a Convolutional Neural Network (or CNN for short). In this StatQuest, we walk through how Convolutional Neural Networks work, one step at a time, and highlight the main ideas behind filters and pooling.
    NOTE: This StatQuest assumes that you are already familiar with...
    The main ideas behind neural networks: • The Essential Main Ide...
    The main ideas behind backpropagation: • Neural Networks Pt. 2:...
    Neural networks with multiple inputs and outputs: • Neural Networks Pt. 4:...
    For a complete index of all the StatQuest videos, check out:
    statquest.org/video-index/
    If you'd like to support StatQuest, please consider...
    Buying my book, The StatQuest Illustrated Guide to Machine Learning:
    PDF - statquest.gumroad.com/l/wvtmc
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    Patreon: / statquest
    ...or...
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    ...a cool StatQuest t-shirt or sweatshirt:
    shop.spreadshirt.com/statques...
    ...buying one or two of my songs (or go large and get a whole album!)
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    ...or just donating to StatQuest!
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    Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
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    0:00 Awesome song and introduction
    1:51 Image classification with a normal Neural Network
    4:28 The main ideas of Convolutional Neural Networks
    4:59 Creating a Feature Map with a Filter
    7:58 Pooling
    9:48 Using the Pooled values as input for a Neural Network
    11:29 Classifying an image of the letter "X"
    13:04 Classifying a shifted image of the letter "X"
    #StatQuest #NeuralNetworks #Convolution

Комментарии • 738

  • @statquest
    @statquest  2 года назад +23

    Learn how to code a simple Convolutional Neural Network with this fully annotated Jupyter Notebook: lightning.ai/lightning-ai/studios/build-train-and-use-a-convolutional-neural-network
    The full Neural Networks playlist, from the basics to deep learning, is here: ruclips.net/video/CqOfi41LfDw/видео.html
    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

    • @evelinewuytens2890
      @evelinewuytens2890 2 года назад +3

      Great playlist! Can you also make a video on variational autoencoder networks?

    • @statquest
      @statquest  2 года назад +1

      @@evelinewuytens2890 I'll keep that in mind.

    • @bennybenbenw
      @bennybenbenw Год назад

      Hey josh, is that possible to make videos about rcnn, fast rcnn, faster cnn & yolo
      I watched some videos and read some paper, didnt clear explain math part(only understand basic concept)
      Especially how to caculate selective search, how to train(one image contain many classification, how to train when we have many many images)

    • @statquest
      @statquest  Год назад +1

      @@bennybenbenw I'll keep those topics in mind.

  • @GeekyMan
    @GeekyMan 3 года назад +420

    I can't imagine how much time and effort you put for:
    1. Creating the content and simplifying it for us
    2. Create the animated ppts
    3. Explaining every step with great detail and simplicity
    I just wanna give a huge hug to you sir! You are an asset. ❤❤

    • @statquest
      @statquest  3 года назад +32

      Wow, thanks!

    • @olli3686
      @olli3686 3 года назад +17

      @@statquest for real! This is amazing! Thank you so much

    • @raunak5344
      @raunak5344 4 месяца назад +3

      4. Writing the song lines and adding attractive music to them to add some entertainment to the whole matter

  • @ddb276
    @ddb276 Год назад +126

    As a Cambridge qualified PhD Mathematician, I cannot begin to describe how fantastic your series are. The way you simplify the concepts, yet keep true to the underlying Mathematics is quite amazing. Not to mention the great animations, dynamic graphs and equations, etc. Well done Josh, for making principled data science accessible to the general audience.

    • @statquest
      @statquest  Год назад +6

      Wow! Thank you very much!

    • @birdwalkin
      @birdwalkin 7 месяцев назад +5

      As a person with a PhD in Subjective Applied Mathematics from the University of American Samoa, I approve this message

    • @RomaineGangaram
      @RomaineGangaram Месяц назад

      Josh needs to be on brilliant,can you guys help

  • @TuanLe-oc9te
    @TuanLe-oc9te 3 года назад +40

    You saved my life. The best CNN explanation I've ever seen

    • @statquest
      @statquest  3 года назад +4

      Hooray!

    • @danielniels22
      @danielniels22 3 года назад

      why did it save you? do u have Neural Network homework or what?

  • @AMVSAGOs
    @AMVSAGOs 3 года назад +47

    Eagerly waiting for LSTM and it's varients. awesom explaination ...

  • @shrutik9673
    @shrutik9673 Месяц назад +4

    BEST CNN VIDEO IN THE INTERNET

  • @sagnikbhattacharya7597
    @sagnikbhattacharya7597 4 месяца назад +4

    Just wanted you to know that I'm earning my bread and butter just because of you. Thank you teacher!

    • @statquest
      @statquest  4 месяца назад +3

      Congratulations! BAM! :)

  • @dmitriykalashnikov85
    @dmitriykalashnikov85 3 года назад +33

    Amazing work. I'm started learning DS and I can't imagine how I can handle all of this information without your videos. Big thanks for everything you've done, do and will do

    • @statquest
      @statquest  3 года назад +3

      Thank you very much! :)

  • @srmsagargupta
    @srmsagargupta 3 года назад +7

    Everytime I see a new video from you I feel like I got a GOLD coin for free. Thank you Sir!

  • @OpaKingKef
    @OpaKingKef Месяц назад +3

    Bro you're carrying me through my ML course and exam

  • @grantkim9124
    @grantkim9124 Год назад +7

    I was a undergrad poli-sci data analytics student three years ago. I couldn't imagine myself going into data science because I know I am not a STEM student nor do I have a great working brain for math. But when I watched your videos back then, I was able to get confidence that I can give myself a chance to study DS which I love. Here, three years later, I am in the MSDS program at Columbia University studying data science. This was only possible because of your ml/stats videos. I still find myself studying your videos to understand concepts, which allows me to read the text without spending countless days stuck. I sincerely thank you very much for giving me a chance to actually dive on such a complex but cool subject.

    • @statquest
      @statquest  Год назад +1

      WOW!!! Congratulations!!! That is awesome. It's an honor to be a small part of your success and it motivates me to do more. Thank you!

  • @Techdadphd
    @Techdadphd Год назад +3

    Oh my goodness! this is the simplest way CNN has ever been explained while still keeping true to the Maths. Thanks so much, Josh!

  • @nikhileshbasa5800
    @nikhileshbasa5800 Год назад +2

    "I don't know how much time does Artificial Neural Networks take to train, learn the input data, But you are putting more efforts and it taking much time in your training time".Thanks to your efforts sir.
    , your videos really explains very well and it helps us in visualizing easily.

  • @KhoaLe-oc6xl
    @KhoaLe-oc6xl 3 года назад +6

    Just to let you know how much I appreciate your quests! Absolutely simple but not missing any concept

  • @davidpinedo4008
    @davidpinedo4008 Год назад +8

    I can't stop thanking you for your content! I am a master in data science student and usually before engaging with the commonly unfathomable statistical learning books I come to your channel to grasp the topics.

  • @adrianwleung
    @adrianwleung 3 года назад +2

    I literally binged your neural network videos in a day like a Netflix show and now realized that I am at the end of the series to date and I need to wait for a new episode!

  • @reyyantemel340
    @reyyantemel340 Год назад +1

    Abicim yemin ederim hayatımda bu kadar iyi anlatım gördüğümü sanmıyorum

  • @pushkarkhedkar9243
    @pushkarkhedkar9243 2 года назад +1

    Never seen easier version of neural network! whole neural network series is a blessing. A BIG THANKS!

    • @statquest
      @statquest  2 года назад

      Thank you very much! :)

  • @julianberger234
    @julianberger234 2 года назад +1

    Came for this video, ended watching half of the series. Just learned this last week in deep learning and wanted to repeat everything neat and nice, thank you very much!

    • @statquest
      @statquest  2 года назад +1

      Glad it was helpful!

  • @rituchaudhary1832
    @rituchaudhary1832 3 месяца назад +4

    You are a gift of God to the education of Machine Learning!!!! Thank you so much!!

  • @O5MO
    @O5MO 2 года назад +1

    Best playlist on neural networks i've ever seen. Thanks for this effort.

  • @TheElementFive
    @TheElementFive 3 года назад +6

    My favorite channel to do with all things data has finally done a video on my favorite data science topic... TRIPLE BAM!

  • @wolfywolfgang2498
    @wolfywolfgang2498 3 года назад +2

    After watching the unskippable lectures of my professor for hours and understanding nothing, this 15 min viode did wonders, thanks Josh! 😌

  • @social.2184
    @social.2184 3 месяца назад +1

    I don't know how can I thank you for pouring such knowledge to us for free.

  • @NicholasHeeralal
    @NicholasHeeralal 2 года назад +4

    I was really confused on this concept before I came across this video, now I feel I understand it way better. You really helped a lot! Thank you so much!

  • @p-niddy
    @p-niddy 2 года назад +7

    Just finished the NN series. If only my highly-cited professor could explain as clearly as you could.
    Thank you

    • @statquest
      @statquest  2 года назад +1

      bam! I'm glad you like my videos.

  • @abdulwajedfarhat969
    @abdulwajedfarhat969 Год назад +1

    Me searching any ML topic on youtube; Convolutional neural network Statquest. Thanks for the great explanation.

  • @twandekorte2077
    @twandekorte2077 3 года назад +8

    Thanks for the video! I watched (and took notes) of the whole Neural Network series :) Like others have said: you explain difficult concepts in such an elegant simple way, while staying true to the basic mechanisms of the concept.

    • @statquest
      @statquest  3 года назад +1

      Awesome, thank you! And thanks for your support!

  • @julieirwin3288
    @julieirwin3288 3 года назад +6

    Thank you Josh! It is so amazing you explained CNN clearly in just 15 minutes :)

  • @shamshersingh9680
    @shamshersingh9680 2 месяца назад +3

    This is the best explanation for CNN I have ever come across. I am very sure this is best I will ever see. I cannot you thank you enough. I have had explanations from my instructors who are PhD, MTechs and what not!! even they could not explain why filters are able to extract features and why we use global pooling. The answer I got was to reduce the number of inputs nodes to NN (which is partly true also) but the way you have explained the importance of pooling, I was amazed and equally happy to see. Thank You Josh Sir. I think you should be knighted for your efforts 😃👏🏻👏🏻👏🏻👏🏻👏🏻

    • @statquest
      @statquest  2 месяца назад +1

      Thank you! :)

    • @liviumircea6905
      @liviumircea6905 Месяц назад +1

      Sir Josh Starmer first of his name ,the ruler of StatQuest realm 🙏

    • @statquest
      @statquest  Месяц назад +1

      @@liviumircea6905 Ha! you made me laugh. :)

  • @cheerioz83
    @cheerioz83 Год назад +4

    You are an amazing teacher -- we're lucky to have you.

  • @Mchrisvy
    @Mchrisvy 4 месяца назад +1

    i love your little musical jingles at the beginning. thank you so much for sharing your knowledge in such a fun way. Youre the goat

  • @tilusnewman103
    @tilusnewman103 Год назад +1

    This is one of the best explanations of CNNs I have ever seen!! You’re a gifted teacher man! Thanks for the refresher!

  • @keremkezer6826
    @keremkezer6826 5 месяцев назад +2

    This is the best explanation i've checked to many resources but no one simplified that much!

  • @piasophie8345
    @piasophie8345 Год назад +2

    I've never seen such a simple yet very good explanation of a CNN. Thanks a lot! As a non-native english speaker I really love the simplicity and the written texts in your videos.

  • @MononeRocks
    @MononeRocks Месяц назад +2

    Thank you Josh!!! You truly are the best at explaining these concepts. I would love to see future videos on how to train the kernels, and more on image recognition/computer vision (clearly explained of course). I also got your book and it's really nice, maybe there can be a part 2 in the future 👀

    • @statquest
      @statquest  Месяц назад

      I'm writing a new book all about neural networks right now and hope to have it done soon.

  • @karthigasankarananth5520
    @karthigasankarananth5520 7 месяцев назад +2

    I can't imagine how you can explain so simply ...hats off to your work ..great and superb explanation...need lot of statistical videos like this

    • @statquest
      @statquest  7 месяцев назад

      Thank you so much 😀

  • @abhiraj533
    @abhiraj533 2 года назад +1

    Seriously!!!!! you are the best among Tech content creators .... always love the way you explain things ....

  • @LanguageHelp
    @LanguageHelp 3 года назад +24

    Please consider doing an NLP series from regression to bert

    • @statquest
      @statquest  3 года назад +7

      I'll keep that in mind.

    • @buithanhlam3726
      @buithanhlam3726 3 года назад +1

      I think transformer and self-attention is a very hard topic for explain, so let him some time.

    • @LanguageHelp
      @LanguageHelp 3 года назад +1

      @@buithanhlam3726 True. It was just a suggestion for the future.

    • @statquest
      @statquest  3 года назад +1

      @@xiaoqingwan1912 noted! :)

    • @user-pc6bs4bf2m
      @user-pc6bs4bf2m 3 года назад

      I third that! Would love to see an NLP series.

  • @AnimApiano
    @AnimApiano 3 года назад +1

    Thank you very much for the explanation! The best explanation i've ever had on CNN, made me wanted to watch the entire neural network series

    • @statquest
      @statquest  3 года назад +1

      Glad you enjoyed it!

  • @111dogger
    @111dogger 3 года назад +4

    What a simple way to explain such a complex topic. Perfect explanation Josh.

    • @statquest
      @statquest  3 года назад

      Thank you very much! :)

    • @111dogger
      @111dogger 3 года назад +2

      @@statquest Thank you so much for making these amazing videos for us Josh. I hope in the near future we get to see how RNN's with LSTM work :)))

  • @noahrubin375
    @noahrubin375 2 года назад +1

    I've watched a lot of statquest videos but I think this is my new favourite!

  • @dengzhonghan5125
    @dengzhonghan5125 3 года назад +2

    The best tutorial as always. Thanks. Looking forward to seeing RNN.

    • @statquest
      @statquest  3 года назад

      Glad you enjoyed it!

  • @Amir_mo
    @Amir_mo Год назад +4

    Hands down to the best video and great channel. Thank you for the incredible effort and dedication!

  • @andresvodopivec5950
    @andresvodopivec5950 3 года назад +7

    Hi Josh. Thank you so much for these videos. All videos you do are fun and so easy to understand. Without any doubt when I see your explanations I can conclude that things are not difficult, they are just badly explained. Your explanations are fantastic. I decided to support you. I am sorry I cannot provide the amount you deserve for such a quality education, but I am merely a student. However, I will not forget you when my condition improves. Please do not stop helping us.

    • @statquest
      @statquest  3 года назад +1

      Wow! Thank you very much! It means a lot to me that you care enough to contribute. :)

  • @abhishekrupakula1613
    @abhishekrupakula1613 3 года назад +2

    Hey Josh! Thank you so much for this video. This is the best CNN Explanations I have ever seen.

    • @statquest
      @statquest  3 года назад

      Thank you very much! :)

  • @SaltyYagi
    @SaltyYagi 4 месяца назад +1

    GOAT video. What a great simple, relaxed way of explaining things. Cheers!

  • @majd2882
    @majd2882 Год назад +1

    What professors try to explain for weeks can u explain in 15 minutes.
    Thank you man

  • @AP-ni6zh
    @AP-ni6zh 3 года назад +2

    Thankyou. Thankyou! You are amazing master of explaining things... break it down to the smallest chunk and and build it up in step by step. I very much look forward for more marching learning tutorial. There is lot of tutorial out there and I spend lot of time understanding it but nothing match the the way you explain. Thank you Tons for awesome contents you have created and the insights you provide

  • @jennifertang33
    @jennifertang33 2 года назад +1

    omg you guys are so amazing, really explain very complicated concepts in a clear, quick as well as funny way!!!

  • @joao.vitor.franco
    @joao.vitor.franco 3 года назад +3

    Thanks for the awesome content, just loved this neural networks series!

    • @statquest
      @statquest  3 года назад

      Thank you very much! And thank you for your support!!! :)

  • @kamranabbas2438
    @kamranabbas2438 3 года назад +1

    Wow, that was the best explanation of CNN. Looking forward to RNN explanation made so succinct and to the point. Thanks a lot!

    • @statquest
      @statquest  3 года назад +1

      Thank you very much! :)

  • @JM-vu2tt
    @JM-vu2tt 6 месяцев назад +1

    I am speechless, of your work and how you achieved your teaching intention, at least in my case, I would say that this explanation is PERFECT, I havent watched a lot of youtube friendly explaining videos on CNNs but surely this one is perfect, dont need to see another one🎉

    • @statquest
      @statquest  6 месяцев назад

      I'm glad you like this video! :)

  • @gayathrigirishnair7405
    @gayathrigirishnair7405 2 года назад +1

    The best explanation I've ever seen of a CNN.

  • @DIY_Foodie
    @DIY_Foodie Год назад +1

    This is the best neural network layers explained in the entire video community

  • @schaefferyang4073
    @schaefferyang4073 3 года назад +1

    Your videos have inspired me a lot when I was a master student in data science. And now when I go further as a PhD student, your video is still inspiring me!!!! Many thanks for your videos!!! pls go further and further

    • @statquest
      @statquest  3 года назад

      Thanks and will do! :)

  • @grostire
    @grostire 2 года назад +1

    You explain things VERY well. Thank you very much ! The colors really help.

  • @siddharthmodi2740
    @siddharthmodi2740 2 года назад +1

    You are unbelievable man , lots of respect for you to putting a lot of efforts to make things easy for us. Thank you so much ❤

  • @elielberra2867
    @elielberra2867 Год назад +2

    Amazing video! As always, I am incredibly thankful for all the time an effort you put on to these lessons :)

  • @envynoir
    @envynoir Год назад +1

    You're literally a saint for this content! Thank you very much.

  • @rominasepulveda570
    @rominasepulveda570 2 года назад +1

    This is my favorite video so far! I not so familiar with math but I want to learn all this stuff because I love science and I need this background and your videos have made my journey not just easier but possible! Thank you so much!

    • @statquest
      @statquest  2 года назад

      Glad it was helpful!

  • @DurgaBurande
    @DurgaBurande 7 месяцев назад +1

    Hey, Thanks for the simplified explanation.... it's too good!!

  • @fabio336ful
    @fabio336ful Год назад +1

    I saw the entire NN series. Thank yoy Josh! BIG BAM!!

  • @Shaywu827
    @Shaywu827 3 года назад +1

    more video for NLP please!!! cannot say how much I enjoy watching your videos!

  • @user-bo1sq2vb4k
    @user-bo1sq2vb4k Год назад +1

    wow, you're the best at explaining's things for easy understanding. "Simply Great"

  • @franssjostrom719
    @franssjostrom719 2 года назад +1

    These lessons must be really cool to do. Just seeing the model work for a shifter X must be an fantastic experience

  • @shrutik9673
    @shrutik9673 Месяц назад +1

    STOP LOOKING FOR 1HR LONG VIDS THIS GUY HAS DONE THE IMPOSSIBLE

  • @user-vd7pt7xu3v
    @user-vd7pt7xu3v 3 месяца назад +2

    Thank you very much you are saving my master's degree

  • @RKN998
    @RKN998 2 года назад +1

    you are a LEGEND, this saved me probably days. thank you so much

  • @Vinicius-nd8nz
    @Vinicius-nd8nz Год назад +1

    BAM best explanation with amazing well thought example to follow, I can't thank you enough!

  • @binodnepal3009
    @binodnepal3009 2 года назад +1

    so clear explanation. Thank you so much for this lecture.

    • @statquest
      @statquest  2 года назад

      Glad it was helpful!

  • @silveromayo4148
    @silveromayo4148 2 года назад +1

    I just finished the quest, it was so informative, thank you so much. will use this information in my research

  • @gopalsharma2053
    @gopalsharma2053 4 месяца назад +1

    Hi Josh, you know you are awesome, you know you and I both are in this domain and I have also started learning to play guitar. I hope this channel will help me in my journey.

  • @sampathkumar3405
    @sampathkumar3405 2 года назад +1

    Hello josh, without you, my journey in data science wouldn't be this easier.

  • @ashleypeterson1105
    @ashleypeterson1105 7 месяцев назад +1

    Wow!
    What an explanation!
    Thank you so much for all these wonderful contents.
    Keep it up! 🎉

  • @Fibo1321
    @Fibo1321 6 месяцев назад +1

    THIS IS AMAZING, Josh. Thank you so much. now I understand the concept.

  • @ceylanyozgatligil9722
    @ceylanyozgatligil9722 2 года назад +2

    All of your videos are amazing. You are very talented to explain complicated things in a simple way. I am looking forward to seeing embedding, attention and transformers videos from your point of view.

    • @statquest
      @statquest  2 года назад +1

      Awesome, thank you!

  • @octavia7530
    @octavia7530 Год назад +1

    This series is the best thing that happened to me before my Deep Learning exam lol. Everything is explained in such a simple and fun matter and it made me actually enjoy learning these concepts and makes me want to learn even more about the subject.

    • @statquest
      @statquest  Год назад +1

      Good luck on the exam! BAM! :)

    • @octavia7530
      @octavia7530 Год назад +1

      @@statquest now that i've been blessed with the famous BAM i think i really will have good luck :D thank you!!

    • @statquest
      @statquest  Год назад

      @@octavia7530 :)

  • @lucarauchenberger628
    @lucarauchenberger628 2 года назад +1

    thank you for all this amazing work that you do!

  • @theforester_
    @theforester_ 2 года назад +1

    that was awesome. thanks very much Josh. big shout out from brazil

    • @statquest
      @statquest  2 года назад

      Glad you liked it! Oi Brasil!

  • @havocthehobbit
    @havocthehobbit Год назад

    Thanks for the simple and concise explanation. Just got your book off of gumroad and looking forward to diving in

  • @konstantynstats7833
    @konstantynstats7833 2 года назад +2

    simply an amazing explanation.

  • @kiwilovesyoutube
    @kiwilovesyoutube 2 года назад +1

    Thank you, this was sooo helpful ! Best video to explain CNN

  • @shirinbas
    @shirinbas 9 месяцев назад +1

    Excellent video, To the point and complete description. I was actually looking for a good course on NN. I will use the playlist provided in the channel

    • @statquest
      @statquest  9 месяцев назад

      Awesome, thank you!

  • @RRP3168
    @RRP3168 2 года назад +1

    Excelent! That was awesome! Very easy to understand. Thanks!

  • @joyjitchoudhury
    @joyjitchoudhury 2 месяца назад +1

    This is unbelievably good!

  • @curiousarabidopsis
    @curiousarabidopsis Год назад +1

    Awesome explanation. Thank you so much.

  • @nonalcoho
    @nonalcoho 3 года назад +3

    Omg!!
    Thank you so much for making CNN video. Bammmmm!

  • @shazadkhanfu
    @shazadkhanfu 2 года назад +1

    Me: spending days trying to understand the topic
    Statquest: 15 minutes... take it or leave it!

  • @MrKB_SSJ2
    @MrKB_SSJ2 2 года назад +1

    This video is so awesome!!!!!! It made my CNN concepts crystal clear❤
    Mega bam💥

  • @Ugunark
    @Ugunark 3 года назад

    This has been so lovely. 'bout to dive into a data science intensive and this has excited and intimidated me.

    • @statquest
      @statquest  3 года назад

      I hope it hasn't intimidated you too much. Really, if you are comfortable with The Chain Rule ( ruclips.net/video/wl1myxrtQHQ/видео.html ) and Gradient Descent ( ruclips.net/video/sDv4f4s2SB8/видео.html ), then the topics should not be too hard.

  • @rohith2454
    @rohith2454 2 года назад +1

    Thank you so much sir, you are amazing. Lot of respect to you. hope to see more DL related videos in this series.

    • @statquest
      @statquest  2 года назад +1

      There are many more to come!

  • @205-cssaurabhmaulekhi9
    @205-cssaurabhmaulekhi9 Год назад +1

    i'm reading François Chollet's book and whenever i need visualization or i'm stuck i come to your channel, great work.

  • @petercourt
    @petercourt 3 года назад +1

    Wonderfully explained, thanks Josh! :)

  • @martymcfleece2456
    @martymcfleece2456 3 года назад +1

    Thanks Josh! Great summary of the method

  • @MitzuTa
    @MitzuTa 3 года назад +1

    Thank you a lot!! Your videos are the best!!

  • @hcv_study
    @hcv_study Год назад +1

    Huge thanks to you! Can't believe I can learn this for free.

  • @Eman_sq
    @Eman_sq Год назад +1

    Thank you for helping me and my friends in our journey

  • @saima6759
    @saima6759 Год назад +3

    Somehow "bam~" has become my own pet phrase in real life.

  • @tubehol08
    @tubehol08 3 года назад +1

    Commenting for the algorithm. You post great videos!

    • @statquest
      @statquest  3 года назад

      Thank you very much! :)