2023/10/10 by C.J. Macleod, Evgenia Nitishinskaya, MacLeod, Chris +3
Computer Science · #Rough Sets and Fuzzy Logic #Bayesian Modeling and Causal Inference #Data Management and Algorithms
paper · pdf · doi:10.48550/arxiv.2310.06686
We review the cumulant decomposition (a way of decomposing the expectation of a product of random variables (e.g. 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.