Earlier quoted context omitted.
Training is kinda like curve fitting, but inference is not. The inference algorithm is random sampling from a next-token probability distribution. It’s a subtle distinction, but I think an important one in this case, because if it was interpolation then genuine creativity would not be possible. But the attention mechanism results in model building in latent space, which then affects the next token distribution.
I’ve seen both opinions on this in the philosophy of statistics. Some would say that machine learning inference is something other then curve fitting, but others (and I subscribe to this) believe it is all curve fitting. I actually don‘t think which camp is right is that important but I do like it when philosophers ponder about these tings. My reasons to subscribing to the latter camp is that when you have a distribu…
Except in the most technical sense that any function constrained to meet certain input output values is an interpolation. But that is not the smooth interpolation that seems to be implied here.