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In most cases, the former type ends up designing a complex objective function to be minimized over the solution space.
For a given value of β, (4) can be minimized over w by any method of unconstrained non-linear optimization.
The chi-square sum S ξ, s) is then written as: (22 S ξ, s) should be minimized over the parameters (ξ, s).
To improve the accuracy, the functional risk R(w) should be minimized over a class of functions f (x, w), w ∈ W.
In the sequence, optimal values for the parameters describing the behaviour of the dynamic absorber are determined, in order that the transmissibility of the composite system be minimized over the whole frequency range.
The cost functional to be minimized over (alpha in {mathcal {A}}) is: begin{array}rcl@ J alpha) &=& mathbb{E} left[ {int_{0}^{T}} f_{t}left(X_{t}^{alpha}, mathbb{E}left[X_{t}^{alpha}|W^{0}right],alpha_{t}right) dt + gleft(X_{T}^{alpha},mathbb{E}left[X_{T}^{alpha}|W^{0}right]right) right], rightarrow ;;; V_{0} & := & inf_{alphain{mathcal{A}}} J alpha), end{array}.
Similar(51)
The residue is minimized over the elements, after that the shape function is applied to the obtained equation.
Six optimization criteria by which the response is minimized over narrow and broad frequency bands are examined.
where arg min is the value of θ for which the given function is minimized over the given data set.
(iii) In each subband, the MSE is minimized over values of, and in (38) is chosen, where, and is the number of coefficients in the subband.
They are then merged into a single metric which is minimized over the set of 20 test utterances using a nonlinear optimization technique.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com