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Parameter Learning of Probabilistic Boolean Control Networks with Input-Output Data
Hongwei Chen1, *
Qi Chen1
Bo Shen1
Yang Liu2
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Submitted: 23 Sept 2023 | Accepted: 27 Nov 2023 | Published: 26 Mar 2024

Abstract

This paper investigates the parameter learning problem for the probabilistic Boolean control networks (PBCNs) with input-output data. Firstly, an algebraic expression of the PBCNs is obtained by taking advantage of the semi-tensor product technique, and then, the parameter learning problem is transformed into an optimal problem to reveal the parameter matrices of a linear system in a computationally efficient way. Secondly, two recursive semi-tensor product based algorithms are designed to calculate the forward and backward probabilities. Thirdly, the expectation maximization algorithm is proposed as an elaborate technique to address the parameter learning problem. In addition, a useful index is introduced to describe the performance of the proposed parameter learning algorithm. Finally, two numerical examples are employed to demonstrate the reliability of the proposed parameter learning approach.

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Chen, H., Chen, Q., Shen, B., & Liu, Y. (2024). Parameter Learning of Probabilistic Boolean Control Networks with Input-Output Data. International Journal of Network Dynamics and Intelligence, 3(1), 100005. https://doi.org/10.53941/ijndi.2024.100005
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This work is licensed under a This work is licensed under a Creative Commons Attribution 4.0 International License.

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