34 Comments
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Rocco Jarman's avatar

Outstanding resource. Thanks!

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sciencetalks's avatar

No amount of words can describe how grateful I am for you to have compiled a stunning resource such as this one. Thank you very much for all of your time and effort! Will definitely be sharing with friends. Can't wait to read more, subscribed. :))

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Sani Nassif's avatar

Small typo in figure. c^2 = a^2 + b^2, not the square root of ...

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Tivadar Danka's avatar

Thanks, you are correct!

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Adriatic's avatar

This article is written extremely well - a very difficult task, as it represents complex math constructs using everyday’s english language. This approach is current methodology in writing books on state of the art quantum field theory.

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Vladimir Shitov's avatar

Thank you, that’s a wonderful article! Small typo:

> Take a small step in the direction of the gradient to arrive at the point x₁. (The step size is called the learning rate.)

The steps should be taken in the opposite direction :)

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Tivadar Danka's avatar

Thanks, I'll fix this ASAP!

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Vladimir Shitov's avatar

It’s actually pretty fun to follow the gradient once and see how the loss diverges.

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Saurabh Dalvi's avatar

Much needed thanks

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Kovats William's avatar

Is there a typo in your formula:

<ax+y,z> =a<x,z> + <x,y> = <y,z> ?

I would have thought <ax+y,z>= a<x,z> + <y,z>

but I might just not be understanding something.

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Alberto Sasso's avatar

I do agree, that should describe the linearity feature.

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Neha Vari's avatar

A small correction, if you could do in Pythagoras Theorem diagram, it should be c2=a2+b2....

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gr1.61803's avatar

This is good.

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Luis Rodriguez's avatar

🙌🏻🙌🏻🙌🏻

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Will Smith's avatar

Thank-you very much. This was helpful to me, to help me understand how our system works.

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bluematrix's avatar

Great work.

Just another hint: in the diagram explaining vector addition, you may want to connect the base of vector y to the point of vector x, to visualize they add up to x+y.

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Chris Leicester's avatar

I had the very same thought.

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Dr. U V's avatar

Looks like a great primer for novice like me in machine learning..My forte is number theory and developing math puzzles and games

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Gwyndar's avatar

I'm going to go through this to see if I can relearn what I lost from a TBI. I was in a car accident during my initial calculus course. I loved differentials so much for it's ease of use that I often wondered why it wasn't taught first. The week we started integrals was the accident. I couldn't learn them and lost the differentials as well. I can't remember how to find first derivative and have failed when trying to relearn it on my own but I'm going to see if this can unlock some of it.

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Dustin Miller - PolyInnovator's avatar

I like how I saved this for later as if I would understand any of it. XD but maybe I will from your works

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marshall murphy's avatar

Well now

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