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When the search is conducted in the model space, the need to compensate for the Jacobian of the transformation is eliminated [14].
Note that, while we apply a homogeneous regional stress field over the model space, the initial tractions on each of the fault elements are varied as a function of the fault orientation.
Due to the large number of potential variable combinations, a Markov Chain Monte Carlo (MCMC) sampler is used that relies on a Metropolis-Hastings algorithm to analyse the model space, the manner of model choice is a birth-death-sampler.12 Using a MCMC sampler facilitates the inclusion of many potential influences only at the expense of computation time.
The analysis program then calculated the lead field matrix that represents the coefficients of the set of equations which translate the data space (SNR values in the set of channels per time point) into the model space (the thousands of dipole supporting points).
When the model space (the number of estimated models) is relatively small, the estimated model with the strongest model evidence is taken as the winner (Bayesian model selection; Penny et al., 2004).
The method is outlined in Algorithm 1. Algorithm 1: ScanBMA Because ScanBMA does not average over every model in the model space, the algorithm yields posterior inclusion probabilities of either 100% or 0% for many regulators.
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This means the posterior probability (i.e. the likelihood of the model generating the data, given the model space) of the winning model was >99% in relation to its nearest competitor (Fig. 4A).
The model space determines the allowed form of the right-hand side of the ODEs.
The color of the model space represents the density distribution of samples.
This process requires clear statements of the model space explored, the criterion used to rank models, and the method used to search the space.
Thus, none of the compounds are particularly influential in the model space, and the training set has great representativeness.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com