Then, in Section 3, the actual nonlinear digital SI canceller is presented, alongside with the parameter estimation procedure and the PCA-based complexity reduction scheme.
This strategy is not readily applicable here as the bridge points would need to be included alongside the parameters, thus considerably increasing the dimensionality of the problem, with no obvious way to specialise the treatment of the imputed data.
In the algorithm using the hierarchical model, we updated the hierarchical distributions alongside the regular parameter updates, and the mean and variance reported are calculated from the distributions constructed using the mean of the chains for the hierarchical parameters.
Initially, the governing equations of the device are derived and a differential evolution algorithm is used alongside experimental data to identify the parameter values needed to accurately model the device.
This applies especially to systems identification problems where the parameter sensitivities must be integrated alongside the system variables.
The parameter is then considered as variable during the least-squares refinement of the crystal structure, alongside the atomic coordinates.
The constant term, ( {C}_{r_{mathrm{S}}} ), was either fixed to zero or fitted alongside the other parameters.
In most experiments that is not realistic, and it would be preferable to estimate τ alongside the other parameters.
The reason is that if τ is also estimated from a single dataset alongside the other parameters, then a reasonable fit can be found to the data for various combinations of α, β, γ, and τ, but the so-obtained parameter values can be far from the true values.
alongside the classical potential energy term.
By estimating the parameters of these distributions (henceforth referred to as hierarchical distributions) alongside the individual cell parameters, we can gain information about the entire population of cells.
