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The function that a learning classifier with one output approximates to, when has been trained to minimize the Cross-Entropy error, is calculated in Section 3. The condition stated in[1] is applied to demonstrate that the approximated function is useful to approximate the NP detector.
To easily understand the influence of the spectral shaping of the host on the WNR, it is useful to approximate the per-channel host power as (14).
Nevertheless, existing models can be useful to approximate the effects of, for instance, particle size reduction or changes in particle residence time.
Hence, it will be useful to approximate lumbar extensor muscle strength of older adults from a regression model.
While point estimates of 'explained fraction' should be interpreted with caution, this technique is useful to approximate the relative importance of one factor over another.
Quantiles are also often useful to approximate the distribution of simulation trajectories over time as it performs a histogram which summarizes the involved quantities without the effects of long-tailored asymmetric distribution or outliers.
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Those structures are then used to approximate population.
This regression specification is also useful to estimate approximate percentage changes of the dependent variables associated with unit changes in the explanatory variables.
Taylor approximations are a useful tool to approximate analytically or numerically the coefficients of stochastic differential equations.
The coccidioidomycosis incidence data include three possibly useful dates to approximate exposure date: estimated date of onset of symptoms ("onset date"), diagnosis date, and report date (although many cases do not have all three dates recorded).
For practical purposes, it would be useful to find an approximate analytical expression for this integral.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com