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Diffusion Combinatoric Correntropy Algorithm for Distributed Estimation

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Abstract

Distributed estimation algorithms, when based on the mean-square error criterion, often encounter steady-state misalignment in scenarios where the adaptive network experiences impulsive noise. Addressing this challenge, this paper introduces the diffusion combinatoric correntropy algorithm, which employs the combinatoric correntropy as its cost function. Leveraging the inherent robustness of the combinatoric correntropy cost function, this algorithm effectively mitigates the negative impacts caused by impulse noise. A comprehensive analysis, including experimental simulations, is conducted to evaluate the performance of the diffusion combinatoric maximum correntropy criterion algorithm. The simulation outcomes demonstrate that the proposed algorithm surpasses the diffusion maximum correntropy criterion algorithm in terms of convergence speed and steady-state performance. These simulation results align closely with the theoretical analysis, further validating the effectiveness of the diffusion combinatoric correntropy algorithm.

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Data Availability

All data generated or analyzed during this study are included in this article. Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This research was jointly supported by the National Natural Science Foundation of China (32360434), and the Gansu Provincial Department of Education: Industry Support Program Project, China (2023CYZC-11).

Funding

National Natural Science Foundation of China,32360434,shengwei Wang,Gansu Provincial Department of Education: Industry Support Program Project,2023CYZC-11,shengwei Wang

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Author notes

  1. Yurong Xu, Tianci Xu, Kuojian Yang have equally contributed to this work.

Authors and Affiliations

  1. College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730000, China

    Shengwei Wang & Yurong Xu

  2. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730000, China

    Tianci Xu & Kuojian Yang

Authors
  1. Shengwei Wang
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  2. Yurong Xu
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Correspondence to Shengwei Wang.

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Wang, S., Xu, Y., Xu, T. et al. Diffusion Combinatoric Correntropy Algorithm for Distributed Estimation. Circuits Syst Signal Process 44, 889–910 (2025). https://doi.org/10.1007/s00034-024-02826-8

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