# Generalized Wick Decompositions

arXiv: https://arxiv.org/abs/2310.06686 · HTML: https://mlsanity.com/paper/2310.06686/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- First posted on arXiv 10 Oct 2023.

## Abstract (arXiv)

We review the cumulant decomposition (a way of decomposing the expectation of a product of random variables (e.g. mathbbE[XYZ]) into a sum of terms corresponding to partitions of these variables.) and the Wick decomposition (a way of decomposing a product of (not necessarily random) variables into a sum of terms corresponding to subsets of the variables). Then we generalize each one to a new decomposition where the product function is generalized to an arbitrary function.