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> we'll see more specialized math AI resembling StockFish soon Heuristically weighted directed graphs? Wow amazing I'm sure nobody has done that before.
by volkercraig 4mo ago
> we'll see more specialized math AI resembling StockFish soon
Heuristically weighted directed graphs? Wow amazing I'm sure nobody has done that before.
- vatsachak 4mo agoMy claim is that LLMs waste a lot of time training on all available data. Math is a sequence of formal rules applied to construct a proof tree. Therefore an AI trained on these rules could be far more efficient, and search far deeper into proof space
- red75prime 4mo agoIt has been tried. Lenat's Automated Mathematician, for example. The problem is that the system succumbs to combinatorial explosion, not knowing which directions are interesting/promising/productive. LLMs seem to pick up some kind of intuition from the data they are fed. The generated data might not have the needed "human touch" or whatever it is.
- vatsachak 4mo agoIt might just be that we didn't have enough compute till now. StockFish definitely has superior intuition
- red75prime 4mo agoStockFish amplifies weak "intuition" (heuristic and simple neural estimators) through extensive Alpha-Beta search made possible by the low(ish) branching factor of chess. It doesn't work for Go already (KataGo uses larger neural networks to guide search more efficiently). I doubt either will work for math where branching factor is even bigger and the success criteria (is the result interesting and so on) are not strictly defined.