Well the Ax=b part is quite general as long as A has a special structure (diagonally dominant).
Good luck coding it though, I'm still looking for an implementation of a low stretch spanning tree (needed in order for the solver to be really lineaR)
Could you please explain me how? I watched the lecture, but can't make connection. I understand how neural networks work and how they are optimized. I'm stupid. Thanks
Heat flow is akin to 'information' flow in a neural net because the weight of a node is the sum/average of the weights of all nodes it's connected to just like the heat of a node is the sum/average of the weights of all the nodes its connected to.
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Of course, like many things in ML, as soon as you make it faster, you just make the model bigger and turn the speed gains into accuracy gains.