Or his brother Dave
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omg sorry!!!
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Thanks for spreading the word!
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That was very interesting. Do you have thoughts on actually cashing out the robustness gains via design of cheap+crappy chips that can be composed to deliver the performance/endurance of more expensive ones?
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I have daydreams, but mainly, if we can make the big step of shifting the hardware-software contract from determinism to best effort, then the chip folk will absolutely optimize cheap+crappy for us.
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Your ideas have put a number of thoughts in my mind. For instance, what is the smallest probabilistic compositional reward optimizer? What priors should it get for compositional self organization? Does it work better with centralized infrastructure that spawns an architecture?...
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Should we optimize for a version of free energy minimization over entire architecture, or would that emerge over a simple individual feeding function and a centralized reward allocator? What are implications for human societies, or are these already approximating good solutions?
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I also wonder how much we should rely on physics for tiling. In principle, we can arrange all tiles in a line and let them learn a routing protocol that tiles into a lattice of arbitrary dimensionality. Physical neighborhoods are inflexible but give us the first dims for free.
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Indefinitely scalable dimensions *must* be aligned with physical dimensions, but one can also have finite dimensions until local memory runs out.
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A multi dimensional space is the result of an operator that folds a number line (which we can get from a distance counter) into a lattice. For number theoretic reasons, we'll probably never need more than 8 local dimensions.
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I don't think that infinity is a concept that makes sense in constructive math.
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I avoid that word myself
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