thanks sir, you solved my confusion about jacobian ,hessian and all. I am a UB student, and have forwarded this video link to our class of advance machine learning. This is a really awsome video to just brush up the basics
@19:32, where Taylor series analogy is given, since g is referred as the gradient, can I take g for the Jacobian (as Jacobian is the gradient of vector values functions) ?
In 11:45, the expression in the bottom should be corrected. Also, tiny typos in the Jacobian. btw, except for those subtle things, very nice lecture on the high-level point of view.
Hello, What can give in the analysis of a function, a group of functions? Can I analyze 50 functions relative to each other!! and get the output from the sum we outputs of all 50 functions??
Great explanation. However, I would correct two things: First of all, there is no second-order partial derivative in the Jacobian definition, as already mentioned in the comments. Secondly, in the generalized expression of the Taylor series expansion you have n! (n-factorial) in the denominator, where n is the n-th order derivative used to approximate f(x=P) in the vicinity of P. This does not get clear in the video.
Hi I need to ask a question. The Hessian is sometimes referred to as the gradient of the gradient, but if I did that wouldnt the cross terms dissappear and I would just have the trace of the Hessian? In other words, I can't make a hessian by taking the gradient of a gradient but I have to go back to the function and take just take the double derivatives, ie no vector algebra. Peter
thanks sir, you solved my confusion about jacobian ,hessian and all. I am a UB student, and have forwarded this video link to our class of advance machine learning. This is a really awsome video to just brush up the basics
There is no second-order partial derivative (∂^2) in the Jacobian!
Jacobian is made up of first order partial derivatives. So there is no ∂^2.
correctly stated
exactly
Yes! Thanks for pointing the error out. Forgot to delete the del^2 terms :-)
yes, it should be first-order partial derivative
Awesome video sir. Thank you
@19:32, where Taylor series analogy is given, since g is referred as the gradient, can I take g for the Jacobian (as Jacobian is the gradient of vector values functions) ?
In 11:45, the expression in the bottom should be corrected. Also, tiny typos in the Jacobian.
btw, except for those subtle things, very nice lecture on the high-level point of view.
Taylor's Series at 16:22
@@milfex-lostex3984 That was the most relevant comment I have seen lol!
@@rteja764 🤣🤣🤣
Hello,
What can give in the analysis of a function, a group of functions?
Can I analyze 50 functions relative to each other!! and get the output from the sum we outputs of all 50 functions??
thanks a lot sir , really amazing explanation
Hi sir I am student from Indian statistical institute Kolkata
I must say that ur teaching is an ART ❤️
Great explanation. However, I would correct two things:
First of all, there is no second-order partial derivative in the Jacobian definition, as already mentioned in the comments.
Secondly, in the generalized expression of the Taylor series expansion you have n! (n-factorial) in the denominator, where n is the n-th order derivative used to approximate f(x=P) in the vicinity of P. This does not get clear in the video.
Very nice summary but please correct the definition of the Jacobian.
A very important correction! The jacobian should be first order partial derivatives. NOT second order!!!
Where can I access the complete playlist ?
Please reply.
F
nptel.ac.in/courses/106106198; then Download -> video
Hi I need to ask a question. The Hessian is sometimes referred to as the gradient of the gradient, but if I did that wouldnt the cross terms dissappear and I would just have the trace of the Hessian? In other words, I can't make a hessian by taking the gradient of a gradient but I have to go back to the function and take just take the double derivatives, ie no vector algebra. Peter
Del(Del_transpose(f))=Hessian(f)
@@oskarjung6738 cheers for that
@@petelok9969 😊
please edit the video Jacobian has only single derivatives not double
first
What happened to your forehead? Is it by birth?
no its not by birth its just like removal of skin of your penis in childhood similarly they have that forehead
@@iamrvk98 What culture is this done in?
@@kabascoolr removal of skin of penis is only done in muslim culture
@@kabascoolr and Kifayat khan person who is asking this question has done it when he was child..
@@iamrvk98 wrong, not only muslims do it judes also do that as well.
Awful english
ua-cam.com/video/XPCgGT9BlrQ/v-deo.html 👍💐💐