Stephen Wolfram

FEBRUARY 14, 2023

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net. There are several key parts.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

MARCH 23, 2023

And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences. But it doesn’t work unless the Wolfram Language code is exactly right.

Computer 145

Computer Mathematics Math Achievement 145

Stephen Wolfram

SEPTEMBER 9, 2021

And in the end, maybe it just takes a different kind of “chemical observer” (and maybe one more embedded in the system and operating at a molecular scale) to be able to understand the “overall architecture” of many of the molecular computations that go on in biology. (By How can one make a multicomputational model for this process?

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

And in the end, maybe it just takes a different kind of “chemical observer” (and maybe one more embedded in the system and operating at a molecular scale) to be able to understand the “overall architecture” of many of the molecular computations that go on in biology. (By How can one make a multicomputational model for this process?

Sciences 59

Sciences Science Physics Mathematics 59