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A modified orthogonal matching pursuit for construction of sparse probabilistic boolean networks

Author

Listed:
  • Xiao, Guiyun
  • Bai, Zheng-Jian
  • Ching, Wai-Ki

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.

Suggested Citation

  • Xiao, Guiyun & Bai, Zheng-Jian & Ching, Wai-Ki, 2022. "A modified orthogonal matching pursuit for construction of sparse probabilistic boolean networks," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001278
    DOI: 10.1016/j.amc.2022.127041
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