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Exact(3)
The higher the cost d is, the more basis functions will be eliminated (Put et al. 2004).
This case can be alleviated either by using more basis functions or by introducing more complex remedy strategy, but at the expense of complicating hardware implementations.
It is obvious that the presence of the operator f ̂ ( x ) Open image in new window in Equation (2) leads to nonzero coefficients C m, m ′, i, i ′ Open image in new window in Equation (11), which in principle could couple all of the matrix elements of A. It is easy to see that the more basis functions we include, the closer our solution will be to the exact one.
Similar(57)
To allow for more interregional variation in HRFs, linear combinations of more general basis functions such as the Fourier set can be used [Friston et al., 1995a].
This new domain contains more complicated basis functions called wavelets, mother wavelets, or analyzing wavelets [8].
Based on single-subject SPM analysis, we derived the following conclusions that may serve as a guide for initial analysis of fMRI data using SPM99: (1) The canonical hemodynamic response function is a more reliable basis function to model the fMRI time series than HRF with time derivative.
Having more polynomial chaos basis functions in the expansion helps to capture uncertainty more accurately but increases computational cost.
A large basis size of more than 120 basis functions per atom and 660 k-points in the irreducible wedge of the Brillouin zone were used to ensure a well-converged calculation.
Because we have access to the Barycentric coordinates of the entry and exit points, we can use the more accurate linear basis functions to store energy deposit/fluence.
This paper identifies new bases for random variables through linear mappings such that the representation of the quantity of interest is more sparse with new basis functions associated with the new random variables.
Generally speaking, the more similar the basis function is to the signal, the more compact is the decomposition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com