Einsum Is All You Need: NumPy, PyTorch and TensorFlow

Video title was recklessly stolen from the following blogpost which I was inspired by (read it!):

Also looked quite a bit at:

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OUTLINE:
0:00 - Introduction
0:15 - What, Why and How
6:48 - Code examples
16:04 - Ending

[matt.jordan]

This is literally insane how well you explained this I instantly subbed you deserve so much more attention

[udbhavprasad]

Honestly, there is no channel that even compares to this level of quality

[misabic]

Hi. Your model building from scratch tutorials are really helpful. Eagerly waiting for more tutorials to come. I really appreciate it!

[qiguosun]

This is literally the best and simplest explanation I ever had, thanks.

[johngrabner]

Another perfect video. Most valuable because it provides a foundation for your other video. Can't wait for your next einsum video.

[mayankkamboj]

Wow, I finally get einsum ! Thank you so much. And that lotr reference was good.

[gauravmenghani]

Lovely. I always found einsum non-intuitive. Learnt a lot! Thanks :)

[stacksmasherninja]

It almost felt like you implemented these functions yourself in those libraries ! Great video

[rajanalexander]

Excellent tutorial of a very useful but sometimes confusing feature in NumPy. I would only add that " . . . " is syntactic sugar for omitting a bunch of indices.

[SantoshGupta-jnwn]

One of the most important videos I've ever seen.

[CrazyProgrammer]

Hey, but why does "i, j->ij" also have a product??? Here in the input nothing is repeating. Are there other rules?

[iskrabesamrtna]

i had to translate it to tensorflow :) very useful video for practice. thank you!

[thecros]

Learnt something new today❤️❤️, ...I always had a question how and were did you learn everything?

[kenzhebektaniyev]

cool! tbh I didn't believe you could explain it but you did

[valevan]

This is great, I just wanna know however, if I can do FFT of Green function using einsum. Note: been trying for a week to implement the code, never got the correct result.

[haideralishuvo]

Awesome, Your channel is so underrated . Was struggling for a good channel to learn about pytorch, Thanksfully got yours :D Can you cover pix2pix, cycleGAN, RCNN's ? Would be greatful if you do .

[francesco_savi]

nice explanation, very clear! thanks!

[michaelmoran]

Are the "free indicies" part of standard einstein notation or something made up to allow you to exclude array dimensions from the einsum entirely?

[fergalhennessy]

wow, the matrix diagonal operations feel almost like an abuse of notation to me. What would happen if the matrix wasn't square and had more rows than columns?

[deoabhijit]

are you considering doing an another video on advanced einsum?