Softmax forever, or why I like softmax
kyunghyuncho.me
Softmax forever, or why I like softmax
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Re: Softmax forever, or why I like softmax
#2In particular, the assumption that |a_k| ≈ 0 initially is incorrect, since in the original paper https://arxiv.org/abs/2502.01628 the a_k are distances from one vector to multiple other vectors, and they're unlikely to be initialized in such a way that the distance is anywhere close to zero. So while the gradient divergence near 0 could certainly be a problem, it doesn't have to be as fatal as the author seems to think it is.
Re: Softmax forever, or why I like softmax
#3The author admits they "kinda stopped reading this paper" after noticing that they only used one hyperparameter configuration, which I agree is a flaw in the paper, but that's not an excuse for sloppy treatment of the rest of the paper. (It would however, be an excuse to ignore it entirely.) In particular, the assumption that |a_k| ≈ 0 initially is incorrect, since in the original paper https://arxiv.org/abs/2502.016…
Re: Softmax forever, or why I like softmax
#4Re: Softmax forever, or why I like softmax
#5Re: Softmax forever, or why I like softmax
#6Re: Softmax forever, or why I like softmax
#7Softmax’s exponential comes from counting occupation states. Maximize the ways to arrange things with logits as energies, and you get exp(logits) over a partition function, pure Boltzmann style. It’s optimal because it’s how probability naturally piles up.
Re: Softmax forever, or why I like softmax
#8The author admits they "kinda stopped reading this paper" after noticing that they only used one hyperparameter configuration, which I agree is a flaw in the paper, but that's not an excuse for sloppy treatment of the rest of the paper. (It would however, be an excuse to ignore it entirely.) In particular, the assumption that |a_k| ≈ 0 initially is incorrect, since in the original paper https://arxiv.org/abs/2502.016…
Re: Softmax forever, or why I like softmax
#9Off topic: Unlike many out there I'm not usually bothered by lack of capitalization in comments or tweets, but for an essay like this, it makes the paragraphs so hard to read!