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Even though both belong to the Monte Carlo family and involve random realizations, Monte Carlo integration is a numerical method based on the approximation of the averaged deterministic integrand function, whereas Monte Carlo simulation is a technique that relies on repeated samplings (numerous realizations) of a random process to compute a statistical expectation.
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We employ high performance computing to generate numerous random realizations of aquifer parameters and well locations, simulate well breakthrough data, and then employ unsupervised machine optimization techniques to estimate the most likely spatial (or space-time) location of the source.
Random realizations of the field are generated by combining the effects of numerous remote point sources, whose contributions are assumed independent identically distributed (IID) circular Gaussian RVs.
In the former case, a realization of γ is computed from realizations of θ and x.
Similarly, a realization of y is computed by summing realizations of θ, γ, and η.
Schematic of three realizations of the network discovery model.
There are at most different possible realizations of BNs.
From the 17th to the 20th centuries, with the discovery and classification of numerous parasites, came the realization of the global burden of parasites.
Vertical vdW heterostructures especially offer numerous possibilities for the realization of high-performance electronic and optoelectronic devices.
This is the main reason behind the realization of numerous studies, aiming to assess the impacts of extreme weather events on transport networks.
Numerous studies focus on the realization of coded multicarrier FTN systems using, in particular, series or parallel concatenations [8] as well as turbo equalization techniques [9].
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