I was going to ask the same thing. It may not be possible to create a simple vector representation of the circuit if the circuit must simulate a complex nonlinear system. Doesn’t seem possible, if the inputs are embeddings or sensor data from real world causal dynamic systems like images and text; and the outputs are vector space representations of the meaning in the inputs (semantic segmentation, NLP, etc). If it were possible it’s like saying there’s a simple, consitent vector representation of all the common sense reasoning about a particular image or natural language text. And your rotated explainable embedding would be far more accurate and robust than the original spaghetti circuit/program. Some programs are irreducible.
I think the best you can do is something like Capsule Nets (Hinton) which are many of your rotations (just smaller, 4 d quaternions, I think) distributed throughout the circuit.
Indeed. Good SciFi does both for me—terror of being a passenger in this train wreck and ideas for how heroes can derail the AI commerce train or hack the system to switch tracks for the public transit passenger train. Upgrade and Recursion did that for me this summer.