Bounded Adaptive Function Activated Recurrent Neural Network for Solving the Dynamic QR Factorization

Autor: Wenrui Yang, Yang Gu, Xia Xie, Chengze Jiang, Zhiyuan Song, Yudong Zhang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 10, p 2308 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11102308
Popis: The orthogonal triangular factorization (QRF) method is a widespread tool to calculate eigenvalues and has been used for many practical applications. However, as an emerging topic, only a few works have been devoted to handling dynamic QR factorization (DQRF). Moreover, the traditional methods for dynamic problems suffer from lagging errors and are susceptible to noise, thereby being unable to satisfy the requirements of the real-time solution. In this paper, a bounded adaptive function activated recurrent neural network (BAFARNN) is proposed to solve the DQRF with a faster convergence speed and enhance existing solution methods’ robustness. Theoretical analysis shows that the model can achieve global convergence in different environments. The results of the systematic experiment show that the BAFARNN model outperforms both the original ZNN (OZNN) model and the noise-tolerant zeroing neural network (NTZNN) model in terms of accuracy and convergence speed. This is true for both single constants and time-varying noise disturbances.
Databáze: Directory of Open Access Journals
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