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To fill in any sparse areas, try Christian Dior's Crayon Eyeliner or Clarins's Retractable Brow Definer, feathering upward.
with high probability, then any sparse sequence z can be perfectly recovered from CS measurements y = Φ R z[11].
In other words, as long as the bouquet is sufficiently tight, asymptotically ℓ1 minimization recovers any sparse signal from almost any errors with support size less than 100%.
The algorithm may be associated with any sparse method, but clearly the accuracy of the final results will depend on the accuracy of the sparse approximation.
To reconstruct the image with less measurement value, we must ensure that the sparse basis ψ and the measurement matrix ϕ are irrelevant, because any random sparse matrix has superiority that it is irrelevant to any sparse basis.
Different from the former parallel algorithms in sparse grid techniques, which have troubles in decomposing the domain equally and keeping load balance among the processors, our parallel algorithm can achieve load balance easily among the threads for any sparse grid configurations.
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holds for any K=1,2,... sparse vector h [26].
entries, e.g., Gaussian or binary entries, exhibit a very low coherence with any fixed sparse matrix Ψ[13], we take the Gaussian matrix as the measurement matrix.
In a sparse network, any two neurons receive inputs from different groups of neurons, so that when a neuron fires only its postsynaptic neighbours change their firing probabilities.
holds for any K-sparse vector h.
If Φ satisfies the RIP of order 2K with δ2Ksufficiently small, it is known that (1) will perfectly recover any K-sparse signal in the basis Ψ and that (2) will incur a recovery error at worst proportional to ε[15].
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CEO of Professional Science Editing for Scientists @ prosciediting.com