Probabilistic Boolean Networks play a remarkable role in the modelling and control of gene regulatory networks. In this paper, we consider the inverse problem of constructing a sparse probabilistic Boolean network from the prescribed transition probability matrix. We propose a modified orthogonal matching pursuit for solving the inverse problem. We provide some conditions under which the proposed algorithm can recover a sparse probabilistic Boolean network. We also report some numerical results to illustrate the effectiveness of the proposed algorithm.

翻译：概率博林网络在基因监管网络的建模和控制中发挥着显著的作用。 在本文中,我们考虑了从规定的过渡概率矩阵中构建一个稀有概率博林网络的反面问题。 我们建议了一种经修改的正对匹配方法,以解决反向问题。 我们提供了一些条件,使提议的算法能够恢复一个稀有概率博林网络。 我们还报告了一些数字结果,以说明拟议算法的有效性。