ELI5: Explain Like I'm 5

Differentiable stack

Okay, kiddo, so imagine you are building a tower with blocks. Every time you add a block, your tower gets taller and taller. But what if someone asked you to build a tower that not only grows taller but also changes shape as you add more blocks? This is a bit trickier, isn't it?

Well, in math, there is something called a stack. It's a bit like a tower made up of numbers or other mathematical objects. Sometimes, we want to build a more advanced type of stack called a differentiable stack. This stack not only grows as we add more objects to it, but it also changes shape in interesting ways.

Now, imagine you have a bunch of differentiable stacks, like a bunch of different types of towers. You can connect these stacks together to make a bigger tower that changes shape in even more complex and interesting ways. This is called a differentiable stack bundle.

So, a differentiable stack is like a tower of math objects that can change shape as it grows, and a differentiable stack bundle is like a collection of these towers linked together to make a bigger, more complex structure. Pretty cool, right?