Entropy (for data science) Clearly Explained!!!

Entropy is a fundamental concept in Data Science because it shows up all over the place - from Decision Trees, to similarity metrics, to state of the art dimension reduction algorithms. It's also surprisingly simple, but often poorly explained. Traditionally the equation is presented with the expectation that you memorize it without thoroughly understanding what it means and where it came from. This video takes a very different approach by showing you, step-by-step, where this simple equation comes from, making it easy to remember (and derive), understand and explain to your friends at parties.
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0:00 Awesome song and introduction
1:28 Introduction to surprise
4:34 Equation for surprise
6:09 Calculating surprise for a series of events
9:35 Entropy defined for a coin
10:45 Entropy is the expected value of surprise
11:41 The entropy equation
13:01 Entropy in action!!!
#StatQuest #Entropy

Пікірлер: 1 200

  • @statquest
    @statquest2 жыл бұрын

    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

  • @yakubsadlilseyam5166

    @yakubsadlilseyam5166

    Жыл бұрын

    Sir, have you included entropy in your book, I couldn't find it

  • @statquest

    @statquest

    Жыл бұрын

    @@yakubsadlilseyam5166 No, it's not in the book because, while it's nice to know about, it's not essential since there are other, easier to understand options that you can use.

  • @sandeepgill4282

    @sandeepgill4282

    Жыл бұрын

    @@statquest could you please provide sources to gain understanding of all types of entropies?

  • @statquest

    @statquest

    Жыл бұрын

    @@sandeepgill4282 en.wikipedia.org/wiki/Entropy_(information_theory)

  • @rikodewaner

    @rikodewaner

    Жыл бұрын

    It's a helpful introduction Josh....👍

  • @luischinchilla-garcia4840
    @luischinchilla-garcia48402 жыл бұрын

    This is quite possibly the best explanation of entropy I've ever seen. This is even better than Shannon's own paper!

  • @statquest

    @statquest

    2 жыл бұрын

    BAM! :)

  • @DarXPloit

    @DarXPloit

    2 жыл бұрын

    @@statquest Big Bang BAM

  • @SaffaGains

    @SaffaGains

    2 жыл бұрын

    @@statquest DOUBLE BAM

  • @adipurnomo5683

    @adipurnomo5683

    2 жыл бұрын

    What time Shannons was write that paper?

  • @statquest

    @statquest

    2 жыл бұрын

    @@adipurnomo5683 I believe it was 1948

  • @felixvanderspek1293
    @felixvanderspek12932 жыл бұрын

    "Simplicity is the ultimate sophistication." - Leonardo da Vinci Thanks for explaining in such simple terms!

  • @statquest

    @statquest

    2 жыл бұрын

    My pleasure!

  • @sade922
    @sade922 Жыл бұрын

    9 minutes of your video explained everything better than 2 hours of my professor giving a lecture... Thank you!!!

  • @statquest

    @statquest

    Жыл бұрын

    Glad it helped!

  • @Kerem-Ertem

    @Kerem-Ertem

    8 ай бұрын

    Make it 3 hours man

  • @PunmasterSTP

    @PunmasterSTP

    3 ай бұрын

    How'd the final go?

  • @dvo66
    @dvo662 жыл бұрын

    best entropy explanation. I took a 500 level ML class last spring in my masters and this is better explanation than my prof(no disrespect to him, he is amazing too)

  • @statquest

    @statquest

    2 жыл бұрын

    Thanks!

  • @eduardoh.m2072
    @eduardoh.m20722 жыл бұрын

    You, sir, you are the very first person to actually explain this subject and not just repeat some random definition without giving any thought to it. I'm amazed by the amount of people who confuse rambling on about the topic with actually explaining it. Thank you!

  • @statquest

    @statquest

    2 жыл бұрын

    Thanks!

  • @deepakmehta1813
    @deepakmehta18132 жыл бұрын

    Amazing video on Entropy Josh. Thank you. I am certainly more addicted to statquest than Netflix. I really liked the way you have introduced the notion of surprise, how you used it to pedagogically explain entropy. It is certainly now easy to think and remember the definition of entropy.

  • @statquest

    @statquest

    2 жыл бұрын

    Awesome, thank you!!!!

  • @shahf13

    @shahf13

    2 жыл бұрын

    @@statquest As a heavy KZread addict with 40 sub-channels you are the only one I put a bell on

  • @statquest

    @statquest

    2 жыл бұрын

    @@shahf13 BAM! :)

  • @CellRus
    @CellRus2 жыл бұрын

    Absolutely amazing. I always come back to your videos from time to time for simple (but absolutely useful) explanation of complicated concepts that I found in papers. They all have helped me a lot, and I feel I'm better at communicating these concepts to other researchers too.

  • @statquest

    @statquest

    2 жыл бұрын

    Hooray!!! I'm glad the videos are so helpful.

  • @OwenMcKinley
    @OwenMcKinley2 жыл бұрын

    😊😊 15:45 hahaha “psst… the log of the inverse of the probability...” Josh this was a fantastic tutorial. Love how I can just wake up and see content like this fresh in my YT recommendations We all appreciate it

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @jeffnador9594

    @jeffnador9594

    2 жыл бұрын

    You can also say "negative log of the probability". Since 1/(x^c) = x^(-c), if c = 1, then log(1/x) = log(x^-1) = -1 log(x)

  • @statquest

    @statquest

    2 жыл бұрын

    @@jeffnador9594 Yep. But, to me, that form makes it just a little bit harder to see what's going on.

  • @jeffnador9594

    @jeffnador9594

    2 жыл бұрын

    @@statquest Agreed! But, the more you can keep people guessing, the higher the surprise value of the statement...

  • @lbognini

    @lbognini

    2 жыл бұрын

    @@jeffnador9594 the point is to get an intuition and derive the formula. Not to manipulate mathematic terms.

  • @nataliatenoriomaia1635
    @nataliatenoriomaia16352 жыл бұрын

    Awesome as always, Josh! Thank you for continuing to share high quality content with us. You’re a very talented teacher. I wish you all the best!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @saidisha6199
    @saidisha61998 ай бұрын

    One of the best explanations of entropy. I had been struggling for a while with this concept and there was no intuitive way I could understand and remember the formula so far, your video made it possible. Great video!

  • @statquest

    @statquest

    8 ай бұрын

    Glad it helped!

  • @wolfgangi
    @wolfgangi2 жыл бұрын

    I freaking love these video, Josh has a gift to explain things so vividly

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @emmydistortion3997
    @emmydistortion39972 жыл бұрын

    Awesome world-level teaching... Thank you!

  • @statquest

    @statquest

    2 жыл бұрын

    Thanks!

  • @GokulAchin
    @GokulAchin2 жыл бұрын

    Please give Josh a nobel prize for not getting a single dislikes in many of his videos and for his contribution to the ML , Stats community. I have to forgive myself for not finding this channel way before when i started my interest in data science. You are definitely inspiring me to teach many people the same content you taught us.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!!! However, this video actually has 13 dislikes. For some reason KZread no longer posts the number of dislikes. However, with 3, 402 likes, that means 99.6% of the people like this video, which is pretty good.

  • @GokulAchin

    @GokulAchin

    2 жыл бұрын

    @@statquest DOUBLE BAM!!!!

  • @buihung3704

    @buihung3704

    6 ай бұрын

    @@statquest The entropy, or the expected Surprise when you randomly pick a Like in your react pool, is pretty low :)))

  • @statquest

    @statquest

    6 ай бұрын

    @@buihung3704 bam!

  • @matthewfox1561

    @matthewfox1561

    5 ай бұрын

    kzread.info/dash/bejne/h4CXmNxsdda-hdY.htmlsi=wtYPowFO-N_iDqdS bazinga

  • @danielpaul65
    @danielpaul65 Жыл бұрын

    Starting the video with a message declaring that we can understand Entropy is the best starting line I have ever seen from any teacher in my life. Great work!!!

  • @statquest

    @statquest

    Жыл бұрын

    Thank you very much! :)

  • @AtiqurRahman-uk6vj
    @AtiqurRahman-uk6vj2 жыл бұрын

    Your self promotion is not shameless, it a gift to humanity. Free content that explains way better than paid content on Coursera. Thanks for helping out poor guys like us Josh

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @pietronickl8779

    @pietronickl8779

    Жыл бұрын

    so true

  • @shahedmahbub9013
    @shahedmahbub90132 жыл бұрын

    Thanks for all your efforts in creating a smart, funny and most importantly CLEAR explanation. This was awesome.

  • @statquest

    @statquest

    2 жыл бұрын

    Glad you liked it!

  • @hemanthhariharan5105
    @hemanthhariharan510510 ай бұрын

    I'm truly amazed by the power of simplicity and intuition. Hats off Josh!

  • @statquest

    @statquest

    10 ай бұрын

    Thank you!

  • @loay1844
    @loay1844 Жыл бұрын

    Wow im sooo impressed. Frrr! It’s been a week trying to understand entropy and I rly thought I was never going to understand this bs. This video is arguably the best video on KZread! Not only about entropy, but absolutely!! Thank you soo much

  • @statquest

    @statquest

    Жыл бұрын

    Glad I could help!

  • @tranquil123r
    @tranquil123r2 жыл бұрын

    Loved it. The best explanation I came across on Entropy. Thanks Josh!

  • @statquest

    @statquest

    2 жыл бұрын

    Glad you enjoyed it!

  • @shamshersingh9680
    @shamshersingh9680 Жыл бұрын

    How can it be!! How can you simplify such complex topics into such simple explanations. Hats Off Man. I seriously wish if I could have had a Maths teacher like you back in school. I have become fan of your videos. Your videos are the first and last stop solution for all my doubts. Thanks Josh. You are a boon to learners like us. Impressed.

  • @statquest

    @statquest

    Жыл бұрын

    Thank you! :)

  • @pbawa2003
    @pbawa20032 жыл бұрын

    this is most simple way to explain Entropy, way to go Josh, love your videos !!!

  • @statquest

    @statquest

    2 жыл бұрын

    Glad you like them!

  • @pietronickl8779
    @pietronickl8779 Жыл бұрын

    Thanks for these super clear explanations - you really manage to break down complex concepts till they seem simple and (almost) intuitive. Also really appreciate the pace, ie the patience of going step-by-step and not making any crazy leaps 2 mins to the end 👏👏👏

  • @statquest

    @statquest

    Жыл бұрын

    Thank you! :)

  • @bjornnorenjobb
    @bjornnorenjobb2 жыл бұрын

    I love your videos, you make a wonderful effort for explaining difficult topics on a easy way. Huge thanks!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you! :)

  • @gustavorm5686
    @gustavorm56868 ай бұрын

    the best explanation for entropy i saw, after browsing for tens of videos. well done prof!!

  • @statquest

    @statquest

    8 ай бұрын

    Wow, thanks!

  • @Shionita
    @Shionita2 жыл бұрын

    I feel so happy because I just learned something new thanks as always!! 😁

  • @statquest

    @statquest

    2 жыл бұрын

    I'm so glad!

  • @marcoventura9451

    @marcoventura9451

    2 жыл бұрын

    me too!!!

  • @DanishArchive
    @DanishArchive10 ай бұрын

    I was awestruck when I finally understood what on earth Entropy is. In most algorithms, I hear entropy must be less, and I felt that it is some weird value which the model gives, and we have to tune it to reduce it. But now, sitting here, watching this video felt like an eye-opener. What a simplistic and beautiful way to explain complicated concepts. You truly are amazing, Josh!!! Super BAMMM!!

  • @statquest

    @statquest

    10 ай бұрын

    Thank you!

  • @chaitu2037
    @chaitu20372 жыл бұрын

    "This is by far the best explanation for entropy that I have ever come across", thanks so much!

  • @statquest

    @statquest

    2 жыл бұрын

    bam!

  • @eliyahubasa9401
    @eliyahubasa94012 жыл бұрын

    Thanks, I’d been waiting for good explanation about entropy for a long time. Thanks :)

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @dylansatow3315
    @dylansatow33159 ай бұрын

    Wow this was amazing. I've never seen entropy explained this clearly before

  • @statquest

    @statquest

    9 ай бұрын

    Glad to hear it!

  • @TuNguyen-ox5lt
    @TuNguyen-ox5lt2 жыл бұрын

    this is definitely the most intuitive way to really gasp the ideal of entropy. you're just wonderful. Thank you soo much

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @bagavathypriya4628
    @bagavathypriya4628 Жыл бұрын

    You are the BEST teacher !! Thanking God that you exists.

  • @statquest

    @statquest

    Жыл бұрын

    Wow, thank you!

  • @user-cc6ro9kv1k
    @user-cc6ro9kv1k9 ай бұрын

    This is such a fascinating video, learning the theory of ML and I can certainly say you are a gifted person. Your perfect understanding field of Probability, Math and ML gives ability to explain it in the best way in the entire world. I'm amazed with your explanation skills

  • @statquest

    @statquest

    9 ай бұрын

    Wow, thank you!

  • @jaysonl3685
    @jaysonl3685 Жыл бұрын

    Absolutely amazing and intuitive explanation Josh! I couldn't have understood it without you, huge thanks :D

  • @statquest

    @statquest

    Жыл бұрын

    Thank you!

  • @nakul___
    @nakul___2 жыл бұрын

    Been looking forward to this one for a while and was not disappointed at all - thanks!

  • @statquest

    @statquest

    2 жыл бұрын

    bam!

  • @michaelgeorgoulopoulos8678
    @michaelgeorgoulopoulos86782 жыл бұрын

    The inverse probability is a much better way of putting it than the minus sign. It was all this time in front of me and I didn't notice. Thank you!

  • @statquest

    @statquest

    2 жыл бұрын

    Thanks!

  • @kevalan1042
    @kevalan10422 жыл бұрын

    You had me at "let's talk about chickens"

  • @statquest

    @statquest

    2 жыл бұрын

    bam! :)

  • @tomashernandezacosta9715
    @tomashernandezacosta97152 жыл бұрын

    This is THEE single BEST explanation for Entropy that I have ever heard. After this video I bought your book instantly. TRIPLE BAM!!

  • @statquest

    @statquest

    2 жыл бұрын

    Wow! Thank you very much for your support!

  • @danielmcleod6535
    @danielmcleod65352 жыл бұрын

    Hi Josh, you're always my go to for stats videos. Thank you, they're amazing. Would love to hear you talk through chi squared? I couldn't see anything on your channel thus far on it.

  • @statquest

    @statquest

    2 жыл бұрын

    I'd like to cover that one day.

  • @TheParkitny
    @TheParkitny Жыл бұрын

    If only text books explained things this way. Life would've been easier as an undergrad.

  • @statquest

    @statquest

    Жыл бұрын

    :)

  • @lan30198
    @lan301982 жыл бұрын

    Fuck, I never understand about the entropy before watching this video, you are amazing

  • @statquest

    @statquest

    2 жыл бұрын

    bam!

  • @lan30198

    @lan30198

    2 жыл бұрын

    @@statquest double bam!!!

  • @felixlaw8377
    @felixlaw83775 ай бұрын

    Being able to derive entropy and show it simply to us in a funny way is just mindblowing... Hats off to you sir!!

  • @statquest

    @statquest

    5 ай бұрын

    Thanks!

  • @jiaweizhang6189
    @jiaweizhang61892 жыл бұрын

    I have studied ml for a lot of time. i dont clearly know what is cross-entropy or entropy until now. This is the best explanation for entropy!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you! :)

  • @ceseb23
    @ceseb232 жыл бұрын

    Hello, Thanks for this video, its really helpfull as always :D. Quick question : why not use Surprise = 1- P(x), as it scale inverse to the probability and the surprise of a sure event is 0 as requested ?

  • @statquest

    @statquest

    2 жыл бұрын

    Maybe it doesn't make sense for Surprise to be 1 when the probability is 0.

  • @AAA-tc1uh

    @AAA-tc1uh

    2 жыл бұрын

    @@statquest I would expect a deeper answer than that, as the [0,1] range can be scaled with any constant to give any large-enough surprise value to probability 0. It's just that the function would be linear now.

  • @statquest

    @statquest

    2 жыл бұрын

    @@AAA-tc1uh Well, then you're stuck with the figuring out what that constant should be. Infinity? But that kind of opens another can of worms because anything times infinity is infinity. Thus, another advantage of using the log function is that the limit as x goes go zero is -infinity.

  • @AAA-tc1uh

    @AAA-tc1uh

    2 жыл бұрын

    @@statquest Sure, I understand, but my rebuttal would be: we already use the [0,1] range for the probability distribution with 0="would never happen" and 1="always happens" (not entirely correct, I know, e.g. continuous distributions) so the same way we could treat Surprise value of 0 as "no surprise at all", and 1 as "maximum surprise". And we have a nice, well-behaved range with no infinities or undefined behavior. Skimming Shannon's original paper I see he argues for the use of the logarithmic function in the opening paragraphs but never provides real deep reason other than convenience and and practicality in engineering usage (another point for the linear function suggested above). Edit: the real reason is the characterization of such function, see en.wikipedia.org/wiki/Entropy_(information_theory)#Characterization, which is apparently only satisfied by entropy function in this form, using logarithms, as proved by Shannon.

  • @statquest

    @statquest

    2 жыл бұрын

    @@AAA-tc1uh Nice!

  • @RoRight
    @RoRight2 жыл бұрын

    I was NOT surprised by the high quality of this video given StatQuest's high probability of producing awesome videos.

  • @statquest

    @statquest

    2 жыл бұрын

    Bam!

  • @DubZenStep
    @DubZenStep2 жыл бұрын

    The world needs an army of people like you man. This explanation is outstanding. A triple bam.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @tianyiluo0105
    @tianyiluo01052 жыл бұрын

    This is a great explanation! Thank you Josh and StatQuest!

  • @statquest

    @statquest

    2 жыл бұрын

    Glad it was helpful!

  • @KleineInii
    @KleineInii2 жыл бұрын

    Thank you so much for sharing this great explanation with us! I stopped the video after you derived the formula and then derived it again on my own. Makes so complete sense!!! I am giving a talk at a conference in 2 weeks, and in my presentation there is a formula using mutual information. I was asked to explain this in my pratice presentation and was not able to. Now, after seeing your video, I am so clear about the concept of entropy and feel much more confident when I need to explain it :)

  • @statquest

    @statquest

    2 жыл бұрын

    Good luck with your presentation! BAM! :)

  • @cls8895
    @cls88952 жыл бұрын

    WOW its SUPEERRR EASY and well explained!! I only had known about the entropy in physics, but now I can see the calculation way of the entropy. THANK YOU for your hard work for easy understanding from S.Korea!

  • @statquest

    @statquest

    2 жыл бұрын

    Hooray! I"m glad the video was helpful! :)

  • @mohammedlabeeb
    @mohammedlabeeb2 жыл бұрын

    Really Great video. Right to the point. I met with one of my coworker who is very seasoned in Data science to help me work on a project and use entropy for the first time. After one hour I was as confused as I could be. But this video really helped. I wish if I saw this video before I had my meeting.

  • @statquest

    @statquest

    2 жыл бұрын

    Glad it was helpful!

  • @varuntejkasula748
    @varuntejkasula748 Жыл бұрын

    absolutely clear. Can't expect a more clearer explanation than this

  • @statquest

    @statquest

    11 ай бұрын

    Glad you think so!

  • @thegt
    @thegt11 ай бұрын

    Simply amazing... I have been using CrossEntropy for months and only now I understood where the word Entropy came from in CrossEntropy

  • @statquest

    @statquest

    11 ай бұрын

    bam! :)

  • @michaelzavin969
    @michaelzavin9692 жыл бұрын

    Just wow ! i've watched my prof's lecture (1.5 h long) 3 times and did not understand anything and here you come with 15 minutes long video and BAM and medium BAM !! and I finally got it THANK YOU!!!

  • @statquest

    @statquest

    2 жыл бұрын

    BAM!

  • @dohasan5053
    @dohasan5053 Жыл бұрын

    Hello! your videos are amazing and you do a great job in simplifying such difficult concepts and making them easier to understand. Thank you so much.

  • @statquest

    @statquest

    Жыл бұрын

    bam! :)

  • @jinyunghong
    @jinyunghong2 жыл бұрын

    The best explanation of entropy! Thank you so much as always :)

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @sumitmishra8449
    @sumitmishra84492 жыл бұрын

    Thank you, Josh, you literally are the best teacher out there. I got a job as a Data Analyst and I Only watched your videos for all the explanations and understanding. Made a lot of notes as well. Sincerely Thank you. PS: First thing I'm gonna do with my salary is buy a membership!! Infinite Bam!!

  • @statquest

    @statquest

    2 жыл бұрын

    Congratulations!!!! TRIPLE BAM!!! :)

  • @azamatbagatov4933
    @azamatbagatov49332 жыл бұрын

    I am surprised how easily understandable entropy is! Thanks!

  • @statquest

    @statquest

    2 жыл бұрын

    Glad it was helpful!

  • @naven084k
    @naven084k6 күн бұрын

    Best explanation i have ever seen. Thanks Josh. I don't forget this anymore. Keep teaching the people ❤

  • @statquest

    @statquest

    5 күн бұрын

    Thank you! Will do!

  • @shaahinfazeli9095
    @shaahinfazeli90952 жыл бұрын

    You are truly amazing in simply explain the complicated things!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you! :)

  • @viethoalam9958
    @viethoalam99582 ай бұрын

    this is so smooth and easy to understand in connecting between “surprise” - an emotion with a mathmatic theory - number.

  • @statquest

    @statquest

    2 ай бұрын

    :)

  • @forresthu6204
    @forresthu62042 жыл бұрын

    This is the BEST version of the explanation about entropy.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @jsebdev1539
    @jsebdev1539 Жыл бұрын

    I'm so happy these channel exists! hurray!!!

  • @statquest

    @statquest

    Жыл бұрын

    Thank you! :)

  • @emsdy6741
    @emsdy67412 жыл бұрын

    DOUBLE BAM! Thanks for the video. I liked how you derived the formula of entropy, and now it is easier to understand.

  • @statquest

    @statquest

    2 жыл бұрын

    Hooray!

  • @bushraw66
    @bushraw662 ай бұрын

    I can't believe this guy made entropy fun and understandable. The intro song really lowered my anxiety about passing my exam thank you so much for your content

  • @statquest

    @statquest

    2 ай бұрын

    Hooray! :)

  • @devrus265
    @devrus265 Жыл бұрын

    This is by far the best explanation I heard on entropy.

  • @statquest

    @statquest

    Жыл бұрын

    Thank you!

  • @surendrabarsode8959
    @surendrabarsode89592 жыл бұрын

    This is the best ever explanation of entropy I have seen!! The real surprise is the totally innovative idea of 'surprise! Thanks with entropy of zero!!!.

  • @statquest

    @statquest

    2 жыл бұрын

    bam! :)

  • @areebahmad7012
    @areebahmad7012 Жыл бұрын

    This is absolutely amazing, I studied my whole course of Probability and statistics at my University but there was so much chaos. Now As I am learning machine learning this makes me a lot clear.

  • @statquest

    @statquest

    Жыл бұрын

    Glad it helped!

  • @anibaldk
    @anibaldk2 жыл бұрын

    Priceless channel for anyone interested in statistics. Just BRILLIANT.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @victorcoulon9375
    @victorcoulon93752 жыл бұрын

    Outstanding explanation made of simplicity. Huge thanks!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @kaushaljani6769
    @kaushaljani67692 жыл бұрын

    Bam!!! Hats off man that was the easiest explaination i ever come across... Thanks for making such kinds of tutorials.

  • @statquest

    @statquest

    2 жыл бұрын

    Glad you liked it!

  • @shahf13
    @shahf132 жыл бұрын

    YAY I have been waiting for a good explanation of entropy for a long time

  • @statquest

    @statquest

    2 жыл бұрын

    BAM! :)

  • @muskanmahajan04
    @muskanmahajan042 жыл бұрын

    By far the best explanation I've seen. You are a true saviour.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @pradyumnagupta3989
    @pradyumnagupta39892 жыл бұрын

    Awesome awesome video. The best explaination of entropy I have seen so far!

  • @statquest

    @statquest

    2 жыл бұрын

    Wow, thanks!

  • @rangjungyeshe
    @rangjungyeshe Жыл бұрын

    Fantastically clear explanation of a notoriously tricky subject. Apparently Johnny Von Neumann told Shannon to call his measure of information entropy, since “no one really knows what entropy is, so in a debate you will always have the advantage.” I suspect J V N wouldn't have said that if he's known about your video...

  • @statquest

    @statquest

    Жыл бұрын

    BAM!!! Thank you so much for your support!!! :)

  • @crackedatcurry
    @crackedatcurry14 күн бұрын

    This man deserves a prize for how well he taught this. BAMMMM!!!!

  • @statquest

    @statquest

    14 күн бұрын

    Thanks!

  • @ArmanAli-ww7ml
    @ArmanAli-ww7ml2 жыл бұрын

    I can’t thank you enough for your efforts and the way of teaching

  • @statquest

    @statquest

    2 жыл бұрын

    You are very welcome!

  • @namratachavan6024
    @namratachavan60242 жыл бұрын

    It is very well explained about Entropy with simple example. Thank you so much. And most important you are not doing shamelessly promotion its actually worth it for everyone like me to understand the concept in very easiest manner.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you! :)

  • @eusha54
    @eusha542 ай бұрын

    You are really great man! You explained this so easily. Loved it!

  • @statquest

    @statquest

    2 ай бұрын

    Thank you!

  • @SonSon-rq5dj
    @SonSon-rq5dj2 жыл бұрын

    Solid video, solid explanation. Best channel out there for your data mining needs

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @XuankangLin
    @XuankangLin2 жыл бұрын

    Thanks soooooo much, for my life I have never understood entropy so clearly!

  • @statquest

    @statquest

    2 жыл бұрын

    Happy to help!

  • @cristianofroes4681
    @cristianofroes46812 жыл бұрын

    Hello from Brazil, thank you very much for this (the best so far) explanation.... I really impressed how simply you do the hole thing. Keep going.... Good Bless you.

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much!

  • @deschryverjan
    @deschryverjan2 жыл бұрын

    No surprise here: yet another amazing video! Great explanation!

  • @statquest

    @statquest

    2 жыл бұрын

    Hooray!! Thank you!

  • @erv993
    @erv9932 жыл бұрын

    This is a brilliant explanation! It all makes sense now!

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you very much! :)

  • @Stilzel
    @Stilzel6 ай бұрын

    Josh, thank you so much for your videos, you are a GREAT teacher. I wish you all the best, and thank you again!

  • @statquest

    @statquest

    6 ай бұрын

    Thank you very much! :)

  • @algorithminc.8850
    @algorithminc.88502 жыл бұрын

    "Hello .... I'm Josh Starmer, and welcome to StatQuest." --- hehehe ... cracks me up. You've got a great channel ... solid explanations ... thanks and cheers.

  • @statquest

    @statquest

    2 жыл бұрын

    Awesome! Thank you!

  • @user-su7id4xe2d
    @user-su7id4xe2d10 ай бұрын

    The most complete video I've ever seen on this platform : ) I subscribed😎

  • @statquest

    @statquest

    10 ай бұрын

    Thank you!

  • @nikhilgupta4859
    @nikhilgupta48592 жыл бұрын

    Heyy Sir, I am your subscriber from past 1.5 year and I feel honoured to tell you, after following you I finally got a job transition as a senior data scientist at an MNC 6 month back. Now I have understood the datascience project ecosystem in my company. You are one of the contributors for my success. Thanks a Ton!!!!! Also I would like to open my hands for helping learners. So learners you can tag me asking any doubts. I would be more than happy helping you.

  • @statquest

    @statquest

    2 жыл бұрын

    Congratulations!!! TRIPLE BAM!!! I'm so glad the videos were helpful and you are will to help others as well! HOORAY! :)

  • @nikhilgupta4859

    @nikhilgupta4859

    2 жыл бұрын

    @@statquest Thank you Sir!! Bamm :)

  • @nirmithrjain6265
    @nirmithrjain626510 ай бұрын

    Seriously, you are the best teacher I have ever had

  • @statquest

    @statquest

    10 ай бұрын

    Thank you!

  • @chenmarkson7413
    @chenmarkson74135 ай бұрын

    You might like to know that I am sharing this video with my whole class of CSC311 Introduction to Machine Learning at the University of Toronto. You are doing a phenomenal work in explaining concepts in such an intuitively understandable way! Hugest thanks!

  • @statquest

    @statquest

    5 ай бұрын

    Thank you very much! I'm so happy the video is helpful! :)

  • @PedroRibeiro-zs5go
    @PedroRibeiro-zs5go2 жыл бұрын

    Hi Josh, you're the BEST!!! Would love a subsequent video on the KL-Divergence!

  • @statquest

    @statquest

    2 жыл бұрын

    Me too. Hopefully soon.

  • @ralphchien184
    @ralphchien184 Жыл бұрын

    This is the most excellent explaination that I have ever seen. Impressive! Impressive! Impressive! Three times I must give. Thanks a lot!

  • @statquest

    @statquest

    Жыл бұрын

    Wow, thanks!

  • @guliyevshahriyar
    @guliyevshahriyar5 ай бұрын

    This is phenomenal work for ENTIRE DATA SCIENCE! Thank you a loot.

  • @statquest

    @statquest

    5 ай бұрын

    You're very welcome!

  • @ichimatsu8422
    @ichimatsu84222 жыл бұрын

    The absolute GOAT when it comes to stats on youtube

  • @statquest

    @statquest

    2 жыл бұрын

    Thank you!

  • @christiansiemes9902
    @christiansiemes99022 жыл бұрын

    Great video! For the first time, I understood what entropy means. Thanks!

  • @statquest

    @statquest

    2 жыл бұрын

    Glad it was helpful!

  • @Kerem-Ertem
    @Kerem-Ertem8 ай бұрын

    Entropy is kind of complicated especially in data science. And that explanation was pure. Thanks!

  • @statquest

    @statquest

    8 ай бұрын

    Glad you enjoyed it!

  • @vaibhavnakrani2983
    @vaibhavnakrani29836 ай бұрын

    I bow down to you sir. It was truly amazing in a simple way.

  • @statquest

    @statquest

    6 ай бұрын

    Thank you!

  • @minhuc-08tran90
    @minhuc-08tran9011 ай бұрын

    What a useful video, I really like the layout and content of the video. It's easy to understand. This channel is really cool ❤❤

  • @statquest

    @statquest

    11 ай бұрын

    Thank you so much!

  • @leassis91
    @leassis91 Жыл бұрын

    this is gold, bro. one of your best videos

  • @statquest

    @statquest

    Жыл бұрын

    Wow, thanks!

  • @_________________404
    @_________________404 Жыл бұрын

    Finally something that makes sense. The theoretical CS university course only showed the equations without trying to explain what they mean.

  • @statquest

    @statquest

    Жыл бұрын

    Thanks!

  • @PunmasterSTP
    @PunmasterSTP3 ай бұрын

    I always found entropy to be quite a confusing concept, but this video handled it expertly!

  • @statquest

    @statquest

    3 ай бұрын

    BAM! :)