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Exact(3)
k-order measures model interactions involving at most k elements.
Among other results, he studies k-Set Cover (given a universe U and a collection of sets S1,S2,…,Sm, each having a cost c(Si) and at most k elements of U, find a minimum cost subcollection – a cover – whose union equals U) and shows that the payment of the VCG mechanism is at most k⋅c OPT′), where OPT′ is the best cover disjoint from the optimum cover OPT.
The heap H can store at most k elements, and each element L of H contains a partition P , E i (P ) and s p i (P ), which are denoted as L.P, L. E , and L.s respectively.
Similar(54)
In practical cases, s has at most k significant elements and the insignificant elements are set to zero which means s is an almost k-sparse vector.
The standard sparsity model considered in compressed sensing, assumes that x has at most k nonzero elements, which can appear anywhere in the vector.
The popular sparsity modeling in CS, assuming x contains at most K nonzero elements, may also appear anywhere in the vector.
Because LBA (via n−ℓ i ≤k) and bounded set reconciliation limit mischief for the combined super-round, each malicious peer can, as leader, once cause bounded set reconciliation during the ECHO round to all-to-all transmit at most k extra elements, resulting in a total of O(f k n 2) extra traffic over all f+1 rounds.
where s is an n×1vector which has at most k non-zero elements (k-sparse vectors).
The conventional CS only consider the sparsity that the signal x has at most k non-zero elements, and it does not take into account any further structure.
In the sensing operation, K-sparse signal vector x, i.e., n-dimensional vector having at most K non-zero elements, is transformed into m-dimensional signal (measurements) y via a matrix multiplication with Φ.
Thus, one strategy for obtaining sparsity is to stipulate that w should have at most k non-zero elements, || w||0 ≤ k.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com