Moreover, for larger bandwidths the GA has more difficulties in estimating the parameters of the approximation.
The parameters of the approximation can be calculated as: (11) (12) with being the n -th diagonal element of, and.
Then, (8) is used to estimate the parameters of the LN approximation from the respective cumulants.
Furthermore, the parameters of the proposed approximation are estimated by means of genetic algorithms.
However, in the system described in this paper, the parameters of the linear approximations to these contours describe the temporal evolution within each voiced segment, and the states of the HMM only describe the change across different segments.
In this appendix we give more details on how to connect the parameters of the three-level (3L) approximation and the continuum model.
This is done with a view to giving an interval for the parameters of the problem where this approximation is valid.
However, when the parameters of the distribution lead to an approximation of a symmetric bell-shaped distribution (e.g. see Gamma(10,10), Weibull(4,4), and Beta 5,5)), the Ueda's method increases the likelihood of not finding outliers and, only in cases like these, an increment in sample size helps the Ueda's method to detect less outliers (see also Supplementary Tables 6.2).
The results of the search for an optimal value of the parameter N of the approximation (13) for parallel turbo TCM schemes with K=684 and K=5,000 are depicted in Figures2 and3, respectively.
In order to identify the attractors accessible to the network and to study their stability as a function of the parameters of the model, we used the mean field approximation derived in [16] (see s for a summary).
