Summary toxicity (sumtox) scores could range from 0 (no findings) to a maximum score of 44.
In this paper, we use the SP-score and recast the motif finding problem as that of finding a maximum (or minimum) weight clique in a multi-partite graph, and introduce a two-pronged approach, based on graph pruning and mathematical programming, to solve it.
So what if I would be finding a 1D peak instead of finding a maximum?
Moreover, the problem of finding a maximum clique of compatible clusters has been shown to be NP-hard [ 39].
The weight w of an edge is related to the probability p of the event inferred across that edge by the formula w = −log p. Edge weights are additive, and the task of finding a maximum likelihood path or tree is equivalent to the task of finding a minimum weight path or tree.
The basic RNA-folding problem of finding a maximum cardinality, non-crossing, matching of complimentary nucleotides in an RNA sequence of length n, has an O(n -time dyn -timerogramming solution that is widynamicprogramming
The basic RNA-folding problem of finding a maximum cardinality, non-crossing, matching of complementary nucleotides in an RNA sequence of length n, is at the heart of almost all methods to computationally predict RNA secondary structure, including more complex methods that incorporate more realistic folding models, such as allowing some crossovers (pseudoknots).
We formalize the problem of finding a schedule to forward the buffered data of all the users in minimum number of transmissions in such a system as a problem of finding a maximum matching in a graph.
Moreover, despite the analysis presented in the Appendix (Supplementary Information), the running-time of our algorithm is actually dominated by the preprocessing step, that of finding a maximum weight bipartite matching.
By casting it as the combinatorial optimization problem of finding a maximum weight hypertree, we prove that it is NP-hard to solve exactly and provide an approximation algorithm with a provable performance guarantee.
