TITLE: Decoupling, efficient congruencing and Vinogradov's main theorem
QUESTION [6 upvotes]: It seems to be word in the generic corridor that decoupling (as in Bourgain-Demeter-Guth) and efficient congruencing (Wooley) are deeply related, and even that they are deep down the same thing - with efficient congruencing being the p-adic approach and decoupling the real one. 
Has this remained at a pure "moral" level - an impressionistic statement based on many similarities? Or is it an insight that has given rise to an actual dictionary between the two approaches? What has been actually carried out?

REPLY [5 votes]: Shaoming Guo, Zane Kun Li, Po-Lam Yung, and I found a bilinear proof of the decoupling inequality for the moment curve that uses the same inductive procedure as Wooley's efficient congruencing proof (Zane was the graduate student mentioned in Terry's answer from 2017).
The overall structure of the (Bourgain-Demeter-Guth) multilinear and the bilinear proofs of decoupling turned out to be quite similar, and both can be written concisely using some definitions introduced in a blog post by Tao.
However, as opposed to the multilinear argument, we do not use any Kakeya-type inequalities.