Convolution Intuition

In this video, I provide some intuition behind the concept of convolution, and show how the convolution of two functions is really the continuous analog of polynomial multiplication. Enjoy!

[Keithfert]

Idk if this helped with my intuition, but it did kinda blow my mind.

[dougr.]

General comment: Convolution can be thought of as a measure of self-similarity. The more self similarity between and within the two functions, the larger the convolution integral’s value. (There is the group theory connection)

[influential]

The result is not important , whats important is the process.. - Dr. sir you are extremely motivational to me

[quantphobia]

OMG, this is the simplest explanation of convolution I've ever come across, thank you so much!!!

[areaxi]

This arguably might be the most important video on youtube. I wanted to cry at the end from an epiphany.

[bballfancalmd]

Dear Dr. Peyam, THANK YOU !! And engineering we’re taught how to use convolution, but never learn where the hell it comes from. Your explanations are like a brain massage 💆‍♂️. Thank you, thank you! You know an explanation is good when it not only answers a question I hadn’t even thought of, but also opens my mind to other ways of thinking about math. So much fun! Danka!!

[arteks]

I loved this interpretation. Thank you, Dr. Peyam.

[MrCigarro]

Thanks for this video. For us, statisticians, is a very important result for it is related to finding the distribution of the sum of two random variables. So, in general I wish to express our appretiation for your efforts.

[yhamainjohn]

One word in my mouth : Great ! Bravo !

[blackpenredpen]

So who is convolution? I still don’t get it.

[prettymuchanobody]

I love your attitude, sir! I'm motivated just hearing you speak, let alone how good you explain the subject.

[stevenschilizzi]

Brilliant explanation! Brilliant - makes it look so natural and so simple. Thanks heaps. I had been really curious about where it came from.

[mnada]

That clarified convolution once and for all 💯💯

[DHAVALPATEL-bphv]

Convolution is for most mortals, a mathematical nightmare and absolutely non intuitive. But this explanation, makes it more obvious. So thumbs up !!!

[mattetor]

Thank you! The students you teach are very lucky :) And we are lucky to be able to watch your videos

[bipuldas]

Thank you. Finally understood the intuition behind this pop operation called convolution.

[ibrahinmenriquez]

I can surely say that i am continuously happy to see you explaining this ideas. Thanks

[lauralhardy]

Thanks Doc, easy to follow. This is a good generalisation of convolution.

[apoorvvyas]

Great intuition. Please do more such videos.

[sheshankjoshi]

This is wonderful. It does really make sense.