Convergence analysis and application for high-order neural networks based on gradient descent learning algorithm via smooth regularization
Crossref DOI link: https://doi.org/10.1038/s41598-025-29494-1
Published Online: 2025-12-12
Update policy: https://doi.org/10.1007/springer_crossmark_policy
Mohamed, Khidir Shaib
Adam, Alawia
Mohammed, Yousif Shoaib
Xiong, Yan
Text and Data Mining valid from 2025-12-12
Version of Record valid from 2026-01-05
Article History
Received: 8 May 2025
Accepted: 18 November 2025
First Online: 12 December 2025
Declarations
:
: The authors declare no competing interests.