Agreed—that alone isn’t particularly much, just one of the easier things to express succinctly. (Though the fact that this predates deep learning does seem significant to me. And the fact that SLT can delineate precisely where statistical learning theory went wrong here seems important too.)
Another is that can explain phenomena like phase transitions, as observed in e.g. toy models of superposition, at a quantitative level. There’s also been a substantial chunk of non-SLT ML literature that has independently rediscovered small pieces of SLT, like failures of information geometry, importance of parameter degeneracies, etc. More speculatively, but what excites me most, is that empirical phenomena like grokking, mode connectivity, and circuits seem to intuitively fit in SLT nicely, though this hasn’t been demonstrated rigorously yet.
Agreed—that alone isn’t particularly much, just one of the easier things to express succinctly. (Though the fact that this predates deep learning does seem significant to me. And the fact that SLT can delineate precisely where statistical learning theory went wrong here seems important too.)
Another is that can explain phenomena like phase transitions, as observed in e.g. toy models of superposition, at a quantitative level. There’s also been a substantial chunk of non-SLT ML literature that has independently rediscovered small pieces of SLT, like failures of information geometry, importance of parameter degeneracies, etc. More speculatively, but what excites me most, is that empirical phenomena like grokking, mode connectivity, and circuits seem to intuitively fit in SLT nicely, though this hasn’t been demonstrated rigorously yet.