The beauty of math is not to use as many words as possible but as little as possible. You are literally taking something that is supposed to create clarity and use it remove clarity. What you mean is simply:
So if the arab was going to leave 1/2 to the first son, 1/3 to the second son, and 1/9 to the third son, what was he planning on doing with the remaining 1/18?
Not everybody can be happy, because that 1/18 of a camel should go to someone, but nobody received it!
He is presenting this as if he's teaching you a trick when he's fooling you to believe these numbers add up to 1 when they don't. Classic midwit trying to look smart
I used to feel that using (x + y) - y during a proof was just some sort of cheap trick, that for example would never appear in The Book. But this is making me realize that since the -y part tends to stick around, what you're really doing is just revealing this inevitable residual.
Also makes me wonder how you can derive quadratic formula without completing the square.
“This is a quintessential question. Without this, you don’t have backpropagation, gradient descent, and thus neural networks. (At least until someone invents a clever alternative. But that’ll take a while.)”
I’m not sure whether “NoProp” uses the camel principle in its derivation, but it is a method for training ANNs without back prop or gradient descent. See…
I can see how the camel principal works using the first illustration.
Unfortunately, mathematics to me is like a woman's mind – I love it, I'm fascinated by it, I drown in its unfathomableness-
How on earth I managed to found a successful machinery design and manufacturing company without being able to understand a quadratic equation is a source of wonderment to me.
I guess I didn't know what impostor syndrome was x
The beauty of math is not to use as many words as possible but as little as possible. You are literally taking something that is supposed to create clarity and use it remove clarity. What you mean is simply:
1/2 + 1/3 + 1/9 = 0.9444 != 1
Indeed the camel story is picturesque but seems misleading to me
So if the arab was going to leave 1/2 to the first son, 1/3 to the second son, and 1/9 to the third son, what was he planning on doing with the remaining 1/18?
Not everybody can be happy, because that 1/18 of a camel should go to someone, but nobody received it!
He is presenting this as if he's teaching you a trick when he's fooling you to believe these numbers add up to 1 when they don't. Classic midwit trying to look smart
I used to feel that using (x + y) - y during a proof was just some sort of cheap trick, that for example would never appear in The Book. But this is making me realize that since the -y part tends to stick around, what you're really doing is just revealing this inevitable residual.
Also makes me wonder how you can derive quadratic formula without completing the square.
have you ever written a deep-dive article on backpropagation? I will like to read.
Check this: https://mlfz.readthedocs.io/en/latest/mlfz.html
“This is a quintessential question. Without this, you don’t have backpropagation, gradient descent, and thus neural networks. (At least until someone invents a clever alternative. But that’ll take a while.)”
I’m not sure whether “NoProp” uses the camel principle in its derivation, but it is a method for training ANNs without back prop or gradient descent. See…
https://ai.gopubby.com/you-dont-need-backpropagation-to-train-neural-networks-anymore-e989d75564cb
Heard about NoProp recently, looks interesting! Haven't read the paper though.
hate links that i cant read without paying.
The NoProp paper is on arXiv for free, check there!
I can see how the camel principal works using the first illustration.
Unfortunately, mathematics to me is like a woman's mind – I love it, I'm fascinated by it, I drown in its unfathomableness-
How on earth I managed to found a successful machinery design and manufacturing company without being able to understand a quadratic equation is a source of wonderment to me.
I guess I didn't know what impostor syndrome was x
Very cool, and well presented. Thank you!
Thanks!