It is important that users of calibrated power meters and detectors understand and take into consideration the total uncer- tainty or error that exists in their measurements. Often, users assume that the rated calibration uncertainty of the Newport detector or power meter is the only error in th...
In summary, we discovered that, according to the findings of the study, the mean squared errors values decrease as the sample size increases. In the majority of cases, Bayesian estimates under balanced linear exponential loss function are more appropriate in terms of simulation out comes than ...
Third, the quality-of-fit assessment using metrics such as R-squared values enhances the credibility of the models, allowing researchers to ascertain their representation of experimental data. Finally, validated performance predictions ensure that simulations accurately reflect real-world performance. ...
The fitted corrections enabled accurate prediction of formation energies, with an MAE of 51 meV/atom and a root mean squared error (RMSE) of 92 meV/atom across the entire dataset of 222 compounds (see Fig.1a inset). In this respect, our method achieved comparable accuracy to previously-repor...
There shouldn’t be any big mystery about this. The properties of the χ-distribution have been understood for quite a while now; seereference 1. 3Chi Squared Now let’s suppose that after collecting data from all the students, rather than averaging their estimated standard deviations using a...
The expected value of the lottery is equal to the sum of the returns weighted by their probabilities:EV = (0.5)(0) + (0.25)($1.00) + (0.2)($2.00) + (0.05)($7.50) = $1.025 The variance is the sum of the squared deviation from the mean, $1.025, weighted by their...
Samples reshape the distribution of possible values ofpand constrain the variance. Each sample draw with replacement from a two-color Ellsberg urn is a Bernoulli trial (Bernoulli,1713); draws are independent from each other. After observingnsample draws producingyred balls, the probabilitypof getting...
The registration is based on hand- crafted metrics such as sum of squared differences (SSD), cross-correlation (CC), mutual information (MI), normal- ized cross correlation (NCC) and normalized mutual infor- mation (NMI) [54, 3]. Besides CNN, reinforcem...
Inverse uncertainty propagation aims to estimate the discrepancies between experiments and mathematical models (bias correction) and to estimate the values of unknown parameters (calibration), and now it is widely used for quantification of the model input uncertainty of the thermal-hydraulic codes, as...
Minimizing the sum of squared errors follows the idea of a statistical regression. To reduce the effect of single outliers in component values, which may be results of unreliable data, the absolute value of deviations can be used instead of the squared errors. In addition, weights can be appli...