(In any case, I want to emphasize that TurboQuant quantizer is a private case of EDEN)
Both EDEN and its 1-bit variant have been implemented in PyTorch, JAX, and TensorFlow across numerous open-source libraries and are used in various applications. I am currently writing a blog post that will document these in detail.
EDEN defines a scale parameter, S, for which we suggest specific optimal values for both biased and unbiased versions. As shown in the note I shared, these values lead to clear empirical improvements. Consequently, users who rely on the less optimal S value and the unbiasing method popularized by TurboQuant will generally see inferior results compared to those using EDEN with the optimal scale values suggested in our original papers.