Please see the following article for an overview:
https://towardsdatascience.com/how-a-2021-quantization-algorithm-quietly-outperforms-its-2026-successor/

I am the author of the linked article and a co-author of the original EDEN papers (NeurIPS 2021, ICML 2022). I am happy to answer any questions you might have regarding this situation or the underlying math.