Any disagreement between the MCMC-generated samples and the true distribution, or the externally generated samples from that distribution, is then indicative of an implementation error.
In general, the complexity of the CE scheme depends on the number of generated samples and the number of iterations.
Finally, we experimented with lower numbers of generated samples for our SIMPLE descriptors that employ the rnd or gaussRnd patch generators.
Let's once again, plot the envelope function, and again, to emphasize that we've generated samples of that, let's superimpose that on the Fourier series coefficients.
Among these generated samples, those that lead to failure of the system are identified through a deterministic analysis.
Statistics and histograms of the random variables which characterize the stick-slip process are estimated for the generated samples.
Moreover, the correlation functions, the power spectra, the cumulative distribution functions, and the probability histograms of the generated samples coincide well with the corresponding target curves.
The structural changes occuring in the V2O5 system during lithium intercalation were followed by X-ray analyis performed on electrochemically generated samples LixV2O5.
Given that SA and optimization are often conducted in parallel, desiring for a combined method, the paper also investigates SA using both randomly generated samples and the biased solutions obtained from an optimization run.
And here are the confidence intervals of the 100 randomly generated samples (sample size = 60).
Figure 11 Normalized autocorrelation function calculated from the generated samples for both fading scenarios.
