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These updates are guaranteed to decrease the approximation cost at each iteration, and converge to a local minimum of the objective function.
The constraint we impose is that energy removed must either be conserved or dissipated, such that the scheme is guaranteed to decrease the overall magnetic energy.
The advantage here is that the CSSD control policy is guaranteed to decrease undesirable stationary mass after intervention and, as well see in simulations, tends to outperform the SSD policy.
Second, we designed our experiments in such a way that the similarity of genes was guaranteed to decrease: though we cannot assert the correct similarity value for a set of genes, we can say that a set of genes that share many GO terms in common is very likely to be more functionally similar than a set of genes whose annotations hardly overlap at all.
The alternatives are guaranteed to make headlines.
Although solutions to FBA and MOMA problems are guaranteed to be globally optimum, they are not guaranteed to be unique.
The exact algorithms are guaranteed to obtain the optimal motif.
Only such genes are guaranteed to retain high overall scores.
Surprises like these are guaranteed to please.
Since |ζ t | is guaranteed to be exponentially decreasing because of the assumption Γ t+1≤θ Γ t, the above implies g ∞ =−∞, hence a contradiction.
It is noteworthy that the found θi,j cannot guarantee to decrease the actual cost function (28).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com