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For θ, we follow the classical approach to derive updates by optimizing the expected complete data (observed and latent) log-likelihood, conditioning on the previous estimates of ξ.
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Derive updated elevation surface using Eq. (1). .
We should note here that in theory, we assumed that at time t one of the L streams is significantly more relevant than the others in order to derive update equations for all parameters using the Baum-Welch algorithm (refer to Section 3.1).
Results of regular surveys (started in 1988) suggest that numbers of ringed seals have increased in the northernmost sub-basin (Bothnian Bay), but because of scarcity of data, it is not possible to derive updated abundance estimates [54].
Marsh et al.[ 19] additionally analyse prevalence in national surveys compared with ANC prevalence to derive updated calibrations for ANC data in countries without a national population-based survey.
The parameters of the hybrid adaptive controller are on-line tuned by the derived update laws under the constraint that only system outputs are available for measurement.
In [14], the authors have derived update rules for the Fourier coefficients in a special case of random-walk phase model.
One of the main difficulties in parameter estimation is the complexity of the objective function (and the derived updating rules) which requires a scoring of all the bad paths for evaluating the denominator.
Assuming that the unknown system is time-invariant, i.e., begin{array}rcl@ mathbf{h}(n) = mathbf{h} n-1), end{array} n-1. thend{array equation (7) of the NLMS algorithm can be used, together with (8), in order to derive an update in terms of the a posteriori misalignment.
Next, we derive the update rules for T n and V n.
Coordinate descent techniques [25, 26] are employed to derive local updating recursions that allow sensors to associate with targets.
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