> Is it that you can backprop through this computation? Do you do so?
With respect, I feel that you may not have read the article.
> Because the execution trace is part of the forward pass, the whole process remains differentiable: we can even propagate gradients through the computation itself. That makes this fundamentally different from an external tool. It becomes a trainable computational substrate that can be integrated directly into a larger model.
and,
> By storing points across nested convex hulls, this yields a decoding cost of O(k+log n).
and,
> Regardless of their eventual capability ceiling, they already suggest a powerful systems primitive for speeding up larger models.
So yes, and yes.
> Where are the benchmarks?
Not clear what they should benchmark it against. They do compare speed to a normal KV Cache. As for performance.. if it's actually executing a Sudoku solver with a 100% success rate, it seems pretty trivial to find any model doing < 100% success rate. Sure, it would be nice to see the data here, agree with you there.
Personally I think it would be really interesting to see if this method can be combined with a normal model MoE-style. It is likely possible, the router module should pick up quite quickly that it predicts the right tokens for some subset of problems deterministically. I like the idea of embed all sorts of general solvers directly into the model, like a prolog solver for example. In fact it never would have occurred to me to just go straight for WASM, pretty interesting choice to directly embed a VM. But it makes me wonder what "smaller" interpreters could be useful in this context.