If W g ≫ W, S ≈ [μ − 1]N p = N p N. As we can see, wider window width also means smaller sparsity S. For more accurate analysis, we take a good property of E-splines into account: the higher the order N, the more the energy is centralized to a shorter time domain support [18].
A solution to this problem is found, and then used as an initial solution to a new problem with slightly smaller sparsity weighting.
At the same time, the size of the low-rank component is assumed to be much smaller than sparsity level, which in turn is much smaller than the signal dimension, L≪S≪d.
To deal with sparsity (small number of cases in certain combinations of CHD status and symptoms and signs), we will apply Firth's method to correct for small sample bias [ 20].
This together with the fact that our proposed method can efficiently work in high dimension suggests that a CS system can be potentially implemented beyond the small patches in sparsity-based image processing.
It was shown in [12] that c<2 generally does not admit successful AMP recoveries; with the newly utilized BASSAMP algorithm that exploits joint sparsity, smaller c and thus shorter signatures are possible.
Under the assumption that the size of the low-rank component is much smaller than the sparsity level, the proposed iterative approach provides a simple tool for the low-rank component reconstruction, which is stable under non-homogenous corruption of the data.
AF:Small:Symbolic Computation With Sparsity, Error Checking and Error Correction National Science Foundation, 2014-2017, $469,905.
The performance of the BOMP method is shown to be better than the performance of the BIRLS method when the block sparsity is small [22].
When the measurement frequencyM ≥ cK log(N/K), the Bernoulli random matrix is able to satisfy the RIP criterion with great probability [23], where c is a small constant, Kis the sparsity of signal, and Nis the signal dimension, as well as the number of columns in measurement matrix.
