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These matrices are sparse matrices.
Note that in cases such as when matrices are sparse, complexity is less than cubic.
Packet dropouts in these two links are modeled as two independent Markov chains, whose transition probability matrices are sparse so that it is easy to obtain.
As basis functions, wavelets proposed in [7] are used because they have vanishing moments, short support, are well conditioned, and, finally, for constant coefficient differential equations, the arising stiffness matrices are sparse in wavelet coordinates.
This organization of the computation does not incur any inefficiency as the product (21) is a cheap operation since both matrices are sparse, and it therefore scales as the number of non-zero elements, which is typically much smaller than the number of parameters n.
Similar(55)
Because only the top 250 most similar spatial profiles to a given gene are identified by NeuroBlast, the spatial similarity matrices were sparse.
Therefore, the crosstalk channel matrix is sparse.
Note that the adjacency matrix is sparse and hence can be compressed.
Even if the basis functions have compact support, so that the Gram matrix is sparse, its inverse will be dense.
Our target matrix is sparse with around 30% missing labels, providing the chance for about 600,000 potential novel interactions.
Indeed, if the measurement matrix is sparse, it takes less storage space and incurs less computational cost.
More suggestions(15)
matrices are first
matrices are usable
matrices are worthwhile
matrices are commutative
matrices are available
matrices are diagonal
matrices are non-invertible
matrices are common
matrices are symmetric
matrices are different
matrices are dependent
matrices are useful
matrices are positive
matrices are important
matrices are equal
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