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arXiv · 2008.09767

A Modified Orthogonal Matching Pursuit for Construction of Sparse Probabilistic Boolean Networks

Guiyun Xiao·Zheng-Jian Bai·Wai-Ki Ching
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Abstract

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.

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Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching. 2020-08-22. A Modified Orthogonal Matching Pursuit for Construction of Sparse Probabilistic Boolean Networks. https://arxiv.org/abs/2008.09767

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