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Network inference analysis with small sample size

Guys, I have 5 samples (patients) and around 12.000 expressed genes. I would like to predict some interactions (networks) among that genes in terms of gene expression in each sample and across the samples. My question is: due to the small sample size, is there some statistic or some algorithm for the network inference analysis able to deal with such a small set of patients?

Thank you in advance

network sample size gene expression

What have you tried?

I have no idea...I used the mutual information in the past but with 300 samples...

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