How are auxiliary variables used in studies of complex systems? What is the role of auxiliary variables in research on global challenges and solutions?

Abstract. We present a new approach to sample from generic binary distributions, based on an exact Hamiltonian Monte Carlo algorithm applied to a piecewise ... Oct 1, 2019 ... Adjustment of the Auxiliary Variable(s) for Estimation of a Finite Population Mean. Language: English. Keywords: model based approach; percent ... Layer-Parallel Training of Residual Networks with Auxiliary-Variable Networks. 10 Dec 2021 · Qi Sun, Hexin Dong, Zewei Chen, Jiacheng Sun, Zhenguo Li, Bin ... The new auxiliary datasets contain data derived from the regular FARS/GES variables using NCSA analyti- cal data classifications. These classifications are ... A new dependent variable that is not part of the physics interface is used, right-click either of these nodes to add an Auxiliary Dependent Variable subnode. A new family of estimators is proposed for estimating the population mean with auxiliary information on the sample mean and the rank of the auxiliary variable. As there are no demonstrations for intermediate steps in the local search, we treat it as an auxiliary variable model. To learn this negative sampler ... Sep 15, 2023 ... However, guidance for choosing auxiliary variables is lacking. We examine the consequences of a poorly chosen auxiliary variable: if it ... Mar 4, 2025 ... Holmes, C C; Held, L (2006). Bayesian auxiliary variable models for binary and multinomial regression. Bayesian Analysis, 1(1):145-168. Feb 14, 2025 ... Abstract. We present a novel optimization algorithm, a relaxed vector auxiliary variable (RVAV), that satisfies an unconditional energy ...