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The training can be performed using stochastic optimization procedures, but these are unable to guarantee a global optima or to report the complete family of feasible models.
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The uncertainty quantification is performed using stochastic expansion and limit state approximation methods.
Because of the complexity of these models, calculation of this expected value is performed using stochastic simulation techniques.
For this purpose, first, the field test is carried out on the chisel plow arm under soil-induced random excitations and operational modal analysis of the chisel plow arm is performed using stochastic subspace identification approach.
Numerical simulations of DNAPL releases were performed using stochastic realizations of hydraulic conductivity fields generated with the same geostatistical parameters and conditioning data at two sampling densities, thus generating two simulation ensembles of low and high density (three-fold increase) of soil sampling.
Lastly, decision analysis was performed using stochastic multicriteria acceptability analysis, which allows for the combined use of numerical and ordinal data.
The second main functionality of BioNetCAD is to make a link between the network drawn with CellDesigner and the spatial and temporal simulation that can be performed using the stochastic automaton HSim (Amar et al., 2008).
Comparisons of alternate spatial sampling strategies for characterizing hazardous waste sites can be performed using GIS-based stochastic simulation techniques.
Furthermore, reliable predictions of settlement based on the stochastic finite element analysis can be performed using the results thus identified.
In this paper, the ground-motion simulations for the 2016 Kumamoto earthquake have been performed using the stochastic finite-fault method based on a dynamic corner frequency.
Iterative minimization is performed using minibatch stochastic gradient descent with a batchsize of 100 and a learning rate and momentum of 0.005 and 0.8, respectively.
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