Generalized Wick Decompositions
arXiv:2310.06686v1h-index: 16
Originality Synthesis-oriented
AI Analysis
This is an incremental theoretical extension with unclear practical impact for whom.
The paper reviews cumulant and Wick decompositions and generalizes them to arbitrary functions, but does not present new results or concrete numbers.
We review the cumulant decomposition (a way of decomposing the expectation of a product of random variables (e.g. $\mathbb{E}[XYZ]$) 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.