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The former accounts for the model uncertainty and provides Bayes-optimal predictions; while the latter provides a sparse representation of the stochastic solutions by evaluating the expansion on a subset of dominating gPC bases.
The parameter ε also provides a sparse representation of the data as only a fraction of the coefficients α i, α i * are nonzero.
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Masking is a common approach in speech separation given latent states, that is often implemented in the STFT domain, which provides a sparse representations of speech signals.
As a result, the proposed transform provides a sparse representation for two-dimensional piecewise smooth signals that resemble images.
By incoherent, it is meant that the rows of Φ do not provide a sparse representation of the columns of Ψ and vice versa.
The second generation curvelet transform, which provides a sparse representation and good multiscale decomposition performance for curve singularities, is utilized as a powerful tool for the characterization of surface topographies.
We provide an adaptive strategy for solving shallow water equations with dynamic grid adaptation including a sparse representation of the bottom topography.
Now that we have a sparse representation of the PST problem, we can solve it using a sparse recovery algorithm.
The input source signal is expressed with a sparse representation of the source exemplars and (non-sparse) noise exemplars.
Vanishing moments of the basis functions permit a sparse representation of the solution and operators.
Finding such a sparse representation of a signal involves solving an optimization problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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CEO of Professional Science Editing for Scientists @ prosciediting.com