Can auxiliary variables be used in multi-level modeling?

mathematical formulation to many of these data ex- traction and reconstruction algorithms by adding an auxiliary variable in the energy in a way similar to [2]. Percent of Market Untapped is an auxiliary variable that represents a calculation: Potential Customers divided by Total Market Size. Connect the new variables ... . The variables in Y are called auxiliary variables. An auxiliary variable y is called dependent if and only if in the first item above all extensions a0 ... ... auxiliary variables. The variational principle contains a trial Hamiltonian H′ in an extended Hilbert space. For H′ equal to its optimal value H, the ... Aug 28, 2020 ... Auxiliary variables (which is created by pyro.sample(name, dist, infer={'is_auxiliary': True}) are used internally in some special cases, which you might be ... Feb 20, 2020 ... I am running out of variable names. Most Latin and Greek letters are already in use. In the write-up, we used many auxiliary variables (as calculations ... Dec 11, 2023 ... Auxiliary variables are used in multiple imputation (MI) to reduce bias and increase efficiency. These variables may often themselves be ... The likelihood function is adjusted so that incomplete observations are used in estimation. Implemented in Stata's sem command with the method(mlmv) option. Dec 5, 2012 ... The inclusion of auxiliary variables can improve a multiple imputation model. However, inclusion of too many variables leads to downward bias of ... May 22, 2018 ... We propose a general framework for nonlinear ICA, which, as a special case, can make use of temporal structure. It is based on augmenting the data by an ...