Funny enough. For me it was the other way around. I always knew how to compute the chain rule. But really only understood what the chain rule means when I read up on what back propagation was.
Funny enough. For me it was the other way around. I always knew how to compute the chain rule. But really only understood what the chain rule means when I read up on what back propagation was.
That's essentially it. Learning what the chain rule does, and learning what it can be used for, and how to apply it.
Neither are really inventions, they are discoveries, if anything the chain rule leans slightly more to invention than backdrop.
I understand the need for attribution as a means to track the means and validity of discovery, but I intensely dislike it when people act like it is a deed of ownership of an idea.
You don't think the people who invented the chain rule understood what it means?
Obviously, Newton and Leibniz and many other Mathematicians (and other people) understood the chain rule before back propagation. But unfortunately I am very far from a Newton or Leibniz, so it took me a lot longer to grasp why the chain rule is the way it is. And back propagation just made it click for me. I was really just talking about me personally.
What insight did you gain from back propagation that you didn't have from just the formula of the chain rule?
What clicked for me was drawing the chain rule as a graph. When I was in school I just applied the chain rule without thinking about it. I really didn't mean this to be some deep insight or anything. Just an anecdotal comment.
Ah makes sense, I was thinking there was some deeper insight I was missing. Thanks!