I dont think mathematical explanation given in this video exist in youtube. I have found this in the book "Mathematics for Machine Learning by Marc Peter Deisenroth". This is Simply brilliant. Although, matrix differentiation part is absent, but still this is extra ordinary stuff.
@sidindian1982
2 жыл бұрын
yes , Well said .. brilliantly explained :-)😍😍😍😇😇
@priyadarshichatterjee7933
9 ай бұрын
SIr... shouldnot after differentiation and reduction we will be left with yT=XTBT which again transposed gives y=XB and there fore B=X^-1y?
@rubalsingh4018
9 ай бұрын
Thank you so much.
@vibhasharma6097
Ай бұрын
nitish sir and his love for cgpa and lpa dataset is a never ending lovestory😂 anyways....by far the best explanation.... Thankyou sir.
@kashifhabib290
Жыл бұрын
Sir I Can tell You No One Literally No One Video Can Compare through your teaching, I have seen videos of Coding Ninjas and Other Paid Lectures but nobody has got into this dept , I can literally feel Machine Learning in Front of My Imagination. Thank You So Much Sir 🙏
@hasanrants
21 күн бұрын
thanks Nitesh for producing such high quality content. Completed on 12:07PM 9th September 2024
@todaystrending1992
3 жыл бұрын
Eagerly waiting for next video😁😉. Thank you so much sir for this🙏❤️
@dheerajrajput7058
Жыл бұрын
Have u achieved your dream now ? Please say yes
@BAMEADManiyar
10 ай бұрын
37:23 sir i have a doubt if i multiply LHS by (X`T X)'-1 i will be left with B'T on LHS so therefore i need to multiply RHS also by same term right. But if i do so i'll get some other answer. why is this sir.
@SyedHuzafaAli
Ай бұрын
Mathematical Explaination☠☠ Code😊😊
@Oxino-h4d
11 ай бұрын
34:18 shouldn't its differentiation be equal to (X^T)y which is transpose of X times y instead of transpose of y times X which is (y^T)X.
@morhadi
Ай бұрын
40:00 It is worth mentioning that for any matrix ( X ), the product ( X^T X ) is always symmetric.
@Sara-fp1zw
3 жыл бұрын
36:00 bhiya kindly upload video on matrix differentiation.
@mr.deep.
2 жыл бұрын
campusX > MIT
@AnkushTonde863
12 күн бұрын
Big fan of your teaching watching this video for 2nd time to revise and brush up all my concepts and make sure I remember them and be able to derive the equation if asked me anytime, any day 🙂
@karthikmanthitta6362
3 жыл бұрын
Such wonderful explanation sir, really thanks a lot♥️♥️♥️you were able to explain something which 100s of videos couldn't explain to me.
@SonuK7895
2 жыл бұрын
Made complex things so easy . i.e, CampusX
@shubhankarsharma2221
Жыл бұрын
*->Transpose y*(XB)=(XB)*Y can be prove after taking XB=Y(hat) and put them with their respective matrices. y=[y1 y2 yn] y(hat)=[y(h)1 y(h)2...y(n)] putting into equation will prove both are same
@katadermaro
3 жыл бұрын
I jumped when I understood eT*e concept. Thank you so much!!!
@Ganeshkakade454
Жыл бұрын
Hi Sir..U r truly gem person sharing such a great knowledge free..is blessing for new generation..god bless u sir..Aap hamare Guru ho Aaj Se..
@kiran__jangra
4 ай бұрын
No Doubt sir your teaching is so fantastic I am following your videos Sir I have one doubt in the step where you do X^TXB^T=y^TX B^T=Y^TX(X^TX)^-1 but it shouldn't be B^T=(X^TX)^-1Y^TX basically inverse term must be pre multiplied because we pre multiply by inverse term to cancel it out on left hand side and matrix multiplication is not commutative so we can't write it on other side Please clear my doubt
@prashantmaurya9635
13 күн бұрын
that what I thought, it is wrong in the video
@sachin2725
Жыл бұрын
Hello Sir, XGBoost is not included in playlist, could you please make a video on XGBoost ?
@bruhat15
2 ай бұрын
13:09 matrix multiplication is wrong When X is multiplied by B it should give a matrix of single column While the matrix described earlier is of m coloums
@bruhat15
2 ай бұрын
I guess the Y hat(matrix before decomposing) should be equal sum of each columns as ine column so Y hat will be of n*1 order Then it would be correct
@nirjalkumarmahato330
Жыл бұрын
Boss tusi great ho ❤️ struggling straight from 1 months 🙃
@ranirathore4176
2 жыл бұрын
Most underrated channel on utube 🥲
@sovansahoo27
Жыл бұрын
Superb content ,easily my semester saviour at IIT Kanpur...Thanks Sir
@rockykumarverma980
6 күн бұрын
Thank you so much sir 🙏🙏🙏
@abuboimofo6605
6 ай бұрын
Doubt Sir ji 🙏 36:00 When you differentiate the matrix considering Y = A'XA Your answer is 2XA^T ..while the answer should be dY/dA = 2XA not the transpose .. correct me if I am wrong plzz
@SuramaDutta
19 күн бұрын
Yes, I have the same query as well. In the gatsby document also 2AX is mentioned.
@animatrix1631
Жыл бұрын
Matrix differentiation video please upload sir @campusx
@rahulpathak8415
4 ай бұрын
Loss function 1/2m se start hota hai sir ?
@harshitmishra394
7 ай бұрын
@campusx sir Y(hat)=B0+B.X1+B2.X2......Bn.Xn tha to matrix me different element kaise ho gya????
@Jc12x06
Жыл бұрын
@CampusX Can someone explain what would happen if the Inverse doesn't exist for that particular matrix in the last step(X^T.X)^-1 i.e. if the determinant is 0?
@yashwanthyash1382
Жыл бұрын
Very nice question but iska answer mujhe bhi nahi patha
@rounaksarkar3084
Жыл бұрын
The reason is simple. See, X is the matrix consisting of features. Now, there are 2 possibilities for non-existance of the inverse of (X^T.X)^-1; first one is X is a null matrix and hence X^T is also a null matrix; second possibility is X^T.X is a null matrix (but none of them is individually null). You can skip the first possibility because if feature matrix is null nobody cares about the problem. Coming to the 2nd possibility, X is a (nx1) and X^T is a (1xn) matrix; X^T.X will be a (1x1) matrix. Now even if some elements of X^T are negative , it will be multiplied with the same element of X ( Notice : ith element of the 1st row of X^T == ith element of the 1st column of X ) . Hence while multiplicating and adding the elements while performing X^T.X you will never come across any negative element. So, addition of all positive quantity will give you a positive (1x1) matrix. Hence, inverse of X^T.X will always exist.
@user-oq1yk2fq2f
15 күн бұрын
Thank you so much!
@souviknaskar631
Жыл бұрын
(AT)-1 = (A-1)T using this formula you can prove the last part [(XTX)-1]T = (XTX)-1
@ayushbaranwal1094
7 ай бұрын
Sir actually I had a doubt, d/da of At*x*A is 2XA but you have written 2XA transpose, can you explain it?
@messi0510
Жыл бұрын
0:30-->2:45 intuition behind MLR 43:20-->47:45 Why gradient descent is more effective as compared to OLS?
@manandesai6404
2 ай бұрын
You are Genius!
@mr.deep.
2 жыл бұрын
best explain
@sinshr-kj1kn
16 күн бұрын
sir bohot sahi pdhate ho aap to....pta nhi kisi ne pehle suggest kyu nhi kiya mujhe aapka channel....not only practical coding but also the theory part, you explain in detail
@abhishekkukreja6735
2 жыл бұрын
Hi Nitish sir, while calculating the error function we used differenctiation to get the expression but in the very beginnning you said we don't use calculus for ols and for gradient descent we do but we used that in both so how it is closed form or non closed form? whats the concept I got it , but closed and non closed form how they're diff as we're doing differentiation in both of them ? Thanks for these videos.
@spynom3070
2 жыл бұрын
he used calculus to show how ols equation is formed from scratch. In ols machine use final equation to calculate best fit line but in gradient descent it use calculus to reach minima point.
@abhishekkukreja6735
2 жыл бұрын
@@spynom3070 thanks for this.
@Star-xk5jp
8 ай бұрын
Day4 Date:12/1/24
@usmanriaz6241
9 ай бұрын
you are an amazing teacher. never saw with such good explanations on youtube. Love from pakistan
@priyam8665
19 күн бұрын
done ✅
@nikhildonthula1395
4 ай бұрын
Man top class stuff, been trying to find mathematical derivation from many days in KZitem.
@PrathamGupta-n2k
6 ай бұрын
Thank you very much for the explanation sir, I searched the whole youtube to get this mathematical explanation!
@YashGaneriwal-je6rh
27 күн бұрын
done
@manujkumarjoshi9342
Жыл бұрын
Beautiful, luckily I know it before but awesome teaching skills
@sudhanshumishra3677
8 ай бұрын
literally, it was the greatest explanation that I have ever seen on KZitem. Hat's off Sir
@ParthivShah
6 ай бұрын
Thank You Sir.
@anshulsharma7080
Жыл бұрын
Itna saare phle pdha kese bhaiya apne..... Suprrrrr se uprrrrrr vla h, wowooooooooo...
@maths_impact
Жыл бұрын
Wonderful sir
@sameergupta3067
Жыл бұрын
This ML series is making me interested in maths of Machine Learning algorithms.
@core4032
2 жыл бұрын
step by step series in very detail , superb .
@kidscreator2268
3 жыл бұрын
1 no. sir
@ArpanChandra-vv8cg
2 ай бұрын
GOD LEVEL TEACHING SKILL 💡💡
@ronylpatil
Жыл бұрын
Please make detail video on matrix diff.
@Khan-ho5yd
10 ай бұрын
Hell sir Do you have notes ??
@ADESHKUMAR-yz2el
Жыл бұрын
love you sir, with all respect.
@abdulmanan17529
Жыл бұрын
Math guru as well as machine learning
@roktimjojo5573
2 жыл бұрын
matrix differentiation ki video kab aaegi
@gauravpundir97
Жыл бұрын
Thank you for making such fantastic videos!
@rupeshramancreation5554
8 ай бұрын
Bahat badi baat bool di aj ap ne
@lvilligosalvs2708
Жыл бұрын
You are a Gem, Sir. Keep it up. Thank you!
@ashishmhatre2846
2 жыл бұрын
My master's prof. can't explain things better than you ! Thank you for making such awesome videos !
@vanshshah6418
2 жыл бұрын
(best best best best ......best)^best
@beethoven6185
11 ай бұрын
Sir you are the best teacher
@anant1803
Жыл бұрын
Really amazing video sir.
@ashishraut7526
Жыл бұрын
bosss that was awesome
@MAyyan-gb6hi
Жыл бұрын
ily!
@AbdurRahman-lv9ec
Жыл бұрын
Awsome
@ritujawale10
2 жыл бұрын
Thank you sir 👍
@abdulmanan17529
Жыл бұрын
🎉🎉🎉❤
@abdulmanan17529
Жыл бұрын
❤
@balrajprajesh6473
2 жыл бұрын
Thank you for this sir!
@moizk8223
2 жыл бұрын
The video is awesome. I have a doubt though. At 37:35 you premultiply the inverse on the LHS but post multiply on RHS. Isn't that wrong? Correct me if I am missing something
@readbhagwatgeeta3810
2 жыл бұрын
Yes correct ..The final value of beta should be: (( X transpose)Y)((X transpose)X)^-1
@moizk8223
2 жыл бұрын
@@readbhagwatgeeta3810 thnxx
@HirokiKudoGT
Жыл бұрын
sir , at 36:26 i think you used d/dA( A^TxA) = 2xA^T but its 2xA.... so i'm little confused about the last final result 🫤..only this thing else everything , you are great sir ...love your videos .
@rounaksarkar3084
Жыл бұрын
Actually na, the differentiation is (X+X^T).A^T. If X=X^T then it becomes 2xA^T.
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