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Indeed, the Bayesian formulation of GP permits to obtain intervals of confidence for individual predictions defined from the GP predicted variance.
Two applications that rely on the MAP approach are considered: first, the selection of the sample size in the new trial, guided by the prediction of the variance; and, second, the inclusion of the predicted variance in a Bayesian analysis of the new trial.
Consistently good agreement between prediction and experiments was achieved, especially between mean crystal size and predicted variance of crystal size distribution.
Also using waist circumference we found the same total predicted variance (r = 0.38, P < 0.001), and confirmed the predictive capacity of age (β = 0.31, P < 0.001) and exercise intensity (%HRmax, β = 0.43, P < 0.001).
For gene expression of each sample, the inverse predicted variance is the weight for that observation.
Results: Age at onset of MDD significantly predicted variance in NK cell number and NKCA.
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Path loss models are used together with Gaussian processes to compute mean predictions and most importantly, to bound Gaussian processes' predicted variances.
The "active data" in the DPS region can be found for model improvement according to the predicted variances.
This analysis was done on the adenosine receptors and GPCR datasets for the predicted variances obtained with the NP and the radial kernels.
In Figure S3, we report the comparisons between the observed and the predicted variances in multi- and inter-sensory conditions.
The results suggested the possible protective role of relationship and conscientiousness, which contributed 82.20% of the predicted variances.
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