Can the same variable serve as both an independent and an auxiliary variable? How are auxiliary variables used in machine learning models?

Publication. Hoare Logic for NanoJava: Auxiliary Variables, Side Effects and Virtual Methods revisited. Author(s): David von Oheimb, Tobias Nipkow of a study variable in two-phase sampling. These estimators utilize the information about extreme values and ranks of an auxiliary variable. Through a first ... Jul 28, 2020 ... The RSS procedure using ranking on auxiliary variable for estimating the ratio-type estimators is described by Koyuncu (2015) as: k2 bivariate ... 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 ... Auxiliary-variable Exact Hamiltonian Monte. Carlo Samplers for Binary Distributions. Ari Pakman and Liam Paninski. Department of Statistics. Center for ... Analyzing data with full-information maximum likelihood with auxiliary variables. The techniques used to account for auxiliary variables are both ... Whitaker, Salina Wu, "The Combined Impact of Continuous and Ordinal Auxiliary Variables on Missing Data Imputation in SEM" (2021). Electronic Theses and ... ... auxiliary variables of a calibration model, no matter how complex the model is. Lastly, as a third strong point, the totals estimated by aux.estimates will ... Dec 18, 2017 ... You cannot change the values of auxiliaries. The best thing to do is split the parameter into it's parts. Beyond Backprop: Online Alternating Minimization with Auxiliary Variables. Anna Choromanska, Benjamin Cowen, Sadhana Kumaravel, Ronny Luss, Mattia Rigotti, ...