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The last step is to find a shift value for each y, x pair, i.e. for each pixel in the disparity image that minimises the function at that point.
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In order to minimise the function, we consider the problem of layer evolution and disparity estimation separately and then show how the problem is iteratively solved in Section 3.2.4.
The final full-matrix least-squares refinements on F, minimising the function Σw(| Fo|−| Fc|).
Our aim is to find a unique input function which minimises the functional defined in eq. (2).
The preview motion x t) also minimises the goal function and keeps, as much as possible, the vehicle state within the safety margin defined by the cost function and inequality constraints.
Lastly, the shift value that minimises the weight function is calculated for each y, x pair.
The technique of perturbation analysis is employed to determine an optimised schedule that minimises the cost function introduced.
The inversion code seeks the model vector that minimises the objective function, which is a weighted sum of the data misfit, model roughness and strength of the galvanic distortion.
The standard non-regularised least squares problem (Aster et al. 2005; Gubbins 2004) involves solving an optimisation problem to find the model m which minimises the objective function Thetaleft(mathbf{m}right) = left[mathbf{d} - mathbf{A}mathbf{m}right]^{T} mathbf{C}_{e}^{-1/2}mathbf{W}_{k}mathbf{C}_{e}^{-1/2}left[mathbf{d} - mathbf{A}mathbf{m}right], (4).
This methodology combines regression trees, where trees are built according to optimal decision rules based on how binary decisions best accommodate a given dataset (De'ath, 2007; Elith et al., 2008), and boosting, which selects the tree that minimises the loss function.
We shall note that better models have a lower perplexity, and we can decide either to minimise the criterion function or to use the negative value of the perplexity as a criterion function T and maximize it.
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