Replace x and y with matrices and wrap everything in a non-linearity. Swap the 7.4 and 5 constants for variables a and b and set their values by taking the partial derivative of the with respect to the difference between the ground truth value and the predicted y.

String together a bunch of these "smart cells" and observe that we can process sequences of data by linking the cells together. Further observe that if we have a separate set of cells (technically it's a vector, not quite a group of neurons) whose loss function is with respect to each individual token in the sequences, we can "pay attention" to specific segments in the sequences.

Add a few more gates and feedback loops, scale up the number of cells to 10^12, and you basically have a state of the art chatbot. Capiche?

Capiche? I agree with you! Haha.

I’m just curious where the FTC would draw the line. The root commenter made a good point that they seem to make a value judgement of what AI means. We can stretch that meaning pretty far if we want :)