Before revision:  The output of our algorithm thus consists of a matrix of  p-values, from which a validated projection can be straightforwardly obtained, upon running a multiple hypothesis testing and linking only the nodes which pass it.
After revision:  The output of our algorithm thus consists of a matrix of link-specific p-values, from which a validated projection can be straightforwardly obtained, upon running a multiple hypothesis testing and linking only the nodes which pass it.