How are auxiliary variables used in studies of wisdom and virtue? What is the role of auxiliary variables in research on ultimate concerns and transcendence?

Sep 15, 2023 ... However, guidance for choosing auxiliary variables is lacking. We examine the consequences of a poorly chosen auxiliary variable: if it ... variable of interest Y, using the ranking variable X as an auxiliary variable when the population mean µx is unknown. The proposed estimators fare better ... Auxiliary variables. Auxiliary variables are variables that can help to make estimates on incomplete data, while they are not part of the main analysis (Collins ... Feb 14, 2025 ... Abstract. We present a novel optimization algorithm, a relaxed vector auxiliary variable (RVAV), that satisfies an unconditional energy ... Beyond Backprop: Online Alternating Minimization with Auxiliary Variables. Anna Choromanska, Benjamin Cowen, Sadhana Kumaravel, Ronny Luss, Mattia Rigotti, ... The auxiliary information can be a categorical variable (e.g. the county of the unit), in which case the categories or groups of categories ... ... auxiliary variables. The variational principle contains a trial Hamiltonian H′ in an extended Hilbert space. For H′ equal to its optimal value H, the ... Auxiliary-variable Exact Hamiltonian Monte. Carlo Samplers for Binary Distributions. Ari Pakman and Liam Paninski. Department of Statistics. Center for ... Auxiliary variables are variables introduced into a model, either because it is difficult to express the constraints at all in terms of the existing variables, ... Analyzing People's Media Use Behaviors Using Mail Survey Method Zhang, Xiaoqun January 3, 2018 Case Studies of Research: Small & Medium Sized Enterprises