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According to the central limit theorem, if the M is large enough, then R i approximates a complex Gaussian random variable under both ℋ 0 and ℋ 1.
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One of the most widespread numerical analysis techniques for working with such models involves approximating a complex, continuous surface, structure, or process by a finite number of simple elements.
This type of approach using meta-models can be used in various fields to approximate a complex behaviour in a very short computational time.
A feed-forward neural network (FFNN) is selected to approximate a complex system response which is challenging task in general due to inaccessible system physics.
This paper reports on the use of GIS-based interpolation tools to approximate a complex prehistoric land surface using unevenly scattered point data.
The general purpose no reference image quality assessment (NR-IQA) is a challenging task, which faces two hurdles: (1) it is difficult to develop one quality aware feature which works well across different types of distortion and (2) it is hard to learn a regression model to approximate a complex distribution for all training samples in the feature space.
This is because of the advantage of high computation rate of three-layered feed forward ANN in approximating a complex nonlinear mapping.
The key of particle filtering is approximating a complex distribution by a series of particles with associated weights and then the MAP estimation could be drawn, and the marginal data detection at time n is given by [28] x ^ n MAP = arg max x n ∈ X ∑ i = 1 I δ x n − x n i w n i (38).
The semiparametric group-based approach constitutes an example of an indirect application of finite mixture modeling because a finite number of groups is used to approximate a complex distribution.
By binning the data and then preforming a linear fit, the algorithm approximates a more complex smoothing.
When the OFDM waveform is approximated as a complex Gaussian random variable, a numerical method to solve for can be found in [24].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com