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In BKMC framework, the dynamics is parameterized by a biological time and the order of update is noisy, which is less strict than priority classes introduced in GINsim [ 8].
A key observation is that the steady states of a Boolean network are independent of the value of the time delays or of the order of update; i.e., independent of the choice of synchronous, ROA, GA, or other update scheme [ 24].
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For example, by replacing the sum-product check node computation by a simpler function [10], to simplify the computations, or using various scheduling techniques to increase the convergence rate by altering the order of updating messages during the iteration [11], or using the forced convergence method [12].
While 6 idle cycles are required following the original, natural order of updates (see Figure 12(a)), EOP needs 5 cycles (see Figure 12(b)), ROP reduces them to 1 (see Figure 12(c)), while no idle cycle is used by UOP (see Figure 12(d)).
With this update rule, no particular order of the update events is assumed.
This fact thus implies that at any time step, an order of the update events, termed as the "update rule", has to be specified.
A similar observation holds for FIM and SOFI, although SOFI performs more uniformly thanks to the enforced heuristic ordering of updates [3], which makes the behaviour of the list more similar to the narrow band of tracking methods.
We proceed using a two-pass approach as shown in Fig. 4, which involves first a collection and then an update pass: The collection pass (Fig. 4 a) traverses the pixels in the inverse order of the update sequence (compare to Fig. 3).
The collection pass (Fig. 4 a) traverses the pixels in the inverse order of the update sequence (compare to Fig. 3).
The former, usually termed as "random sequential" and discussed earlier, does not assume any particular order of the update events.
Today, with the recent advent of blockchains, various consensus implementations were proposed to make replicas reach an agreement on the order of transactions updating what is often referred to as a distributed ledger.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com