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PriorPC uses soft priors which assign to edges a probability of existence, rather than hard priors which give edges an existence state.
Nevertheless, the separation of the single particle peak and the transversal extinction band, which assign to particles in aggregates, is expected to be more pronounced, the more extended the aggregates are.
We show on synthetic data that the structural accuracy of networks obtained with PriorPC is greatly improved compared to PC. PriorPC improves structural accuracy of inferred gene networks by using soft priors which assign to edges a probability of existence.
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Let r denote the operator which assigns to any convergent series the sequence of its remainders.
We focus on max min fairness, which assigns to each flow the largest possible bandwidth that avoids affecting other flows.
where is the normalized duality mapping on and is the generalized projection operator which assigns to an arbitrary point the minimum point of the functional with respect to.
Let us denote by J : D → X the map which assigns to each y ∈ D the unique point in X such that J y = F ( J y, y ).
and denote by T a solution mapping which assigns to each ( q, λ ) ∈ Q × [ 0, 1 ] the set of solutions of P ( q, λ ).
Let us denote by τ the map which assigns to each y ∈ M the point τ ( y ) ∈ M such that ( I − S ) τ ( y ) = T y.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com