The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown parameter vector in a group of cooperative estimators. Utilizing kernel density estimation and buffering some intermediate estimations, the prior distribution and conditional likelihood of the parameters vector in each node are calculated. Pseudo Huber loss function is used for designing the likelihood function. Also, an error thresholding function is defined to reduce the computational overhead as well as more relaxation against noise, which stops the update every time an error is less than a predefined threshold. The performance of the proposed algorithm is examined in the stationary and non-stationary scenarios in the presence of Gaussian and non-Gaussian noise. Results show the robustness of the proposed algorithm in the presence of different noise types.

本研究将非参数知识融入最小均方扩散算法的最大后验估计框架中，提出了一种能够在合作估计器组中鲁棒地估计未知参数向量的算法。通过利用核密度估计和缓冲一些中间估计量，计算每个节点中参数向量的先验分布和条件似然。设计了似然函数使用伪Huber损失函数，定义了一个误差阈值函数来减少计算开销并更好地抵抗噪声，当误差小于预定义阈值时停止更新。在存在高斯和非高斯噪声的稳态和非稳态情况下对所提出的算法的性能进行了检验。结果表明，该算法在不同类型噪声存在下具有鲁棒性。

自适应网络上的鲁棒非参数基于知识的扩散最小均方