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In addition, a fast implementation of conditional mutual information estimation is proposed and used to tackle the computationally intractable problem.
Although entropy theory has been employed for network design before, the joint histogram method used for mutual information estimation has several limitations.
From the reliability point of view, this criterion can also abate the disturbance caused by sample insufficiency in conditional mutual information estimation.
In particular, due to the computational difficulties in high-dimensional mutual information estimation, most approaches only consider pairwise and conditional pairwise interactions, and omit the higher-order interactions.
The mutual information estimation between two given discrete random variables x and y is determined in terms of their individualistic probabilities P x),P y) and their joint probability P(x y), as shown in Equation (25).
We used the adaptive partitioning algorithm for mutual information estimation.
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The copula entropy-based mutual information (MI) estimation method is shown to be more effective for quantifying the uncertainty of redundant information than the joint histogram (JH) method.
Prior to the ARACNe analysis, simulations were performed to model the optimal kernel width that allowed a proper mutual information (MI) estimation in our dataset.
After performing the mutual information (MI) estimation using the original miRNA expression profiling data, we obtained miRNAs interaction network in which 1,413 miRNAs interaction relationships were included.
Normalized mutual information measure estimations between LST and PLAND and ED, PLAND and PD and ED and PD were 0.7679, 0.7650 and 0.7832, respectively.
Notice that the computation of mutual information also necessitates the estimation of corresponding probability distributions.
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