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Recall that r is the maximum order of regulation between the target gene and its regulators.
The FPC has overall responsibility for financial regulation in the UK and is part of a new order of regulation designed to keep the banks under closer scrutiny.
That is, it will take into consideration the d-th order Markov rule, for a gene having a maximum order of regulation d with its parents.
For the first n columns, the entries marked by 1 correspond to instantaneous regulations whereas for the last n columns non-zero entries denote the order of regulation.
These include Standard Pearson correlation technique to measure statistical significance of synchronous co-regulation of genes and order of regulation [ 14].
Now, we want to assess the degree of interest in adding gene A as a parent of X with a second order regulatory relationship, that is we want to computee MI X, A|{ B, C}), where superscripts on the parent variables denote the order of regulation it has with the child node.
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Using this representation, we do not need to replicate layers of interactions for each increment in the order of regulations, making it efficient and particularly suitable for representing GRNs, where higher-order regulations is a common phenomenon.
This is in violation of the biological reality that parents with various orders of regulation can jointly regulate a child.
Our proposed method supports multiple parents to regulate a child simultaneously, with different orders of regulation.
To remedy this situation, we propose to apply the penalization only on a per-order of regulation basis.
Complications in the alignment of data samples can arise if the parents have different orders of regulation with the child node.
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