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The phrase "as a function of the variance" is correct and usable in written English.
It is typically used in mathematical, statistical, or scientific contexts to describe how one variable depends on or changes with respect to the variance of another variable.
Example: "The model predicts the outcome as a function of the variance in the data set, allowing for more accurate forecasts."
Alternatives: "in relation to the variance" or "depending on the variance".
Exact(10)
The application of a variance function, which models the residuals as a function of the variance, was used to account for heteroscedastic errors.
a Bayesian threshold as a function of the variance ({sigma _{p}^{2}}) for different outages.
Figure8 shows these deviations, averaged over 10,000 random experiments, as a function of the variance σ 2 of the random noise.
Figure 3 shows the mean and standard error of inferring the reaction rates using the proposed estimator, shown as a function of the variance of the observation noise (discretization time:, the number of particles:, the noise variance: ).
We furthermore simulate the SER of uncoded transmission as a function of the variance of the channel estimation error (sigma _{e}^{2}) in (8), demonstrating the robustness of the proposed leakage-bounded beamformer.
Figure 3 The mean and standard error of the particle filter estimator for the inference of reaction rates in a viral infection network, shown as a function of the variance of the observation noise (the number of particles used is ; performance is averaged over simulation runs).
Similar(50)
The noise variance in Eq. (9) is scaled by the (h_{y_{n}}), to control the weight decay as a function of the noise variance.
For fixed powers and link gains, let denote the sum rate as a function of the noise variance.
For a given probability model, all the performance metrics are thus obtained as a function of the expectation and variance.
The error is plotted as a function of the observation noise variance (the error is averaged over trials).
The figure illustrates the achievable BER performance as a function of the channel estimation error variance with as a parameter.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com