Local Levenberg-Marquardt Algorithm for Learning Feedforwad Neural Networks

Autor: Alina Marchlewska, Jarosław Bilski, Jacek M. Zurada, Bartosz Kowalczyk
Rok vydání: 2020
Předmět:
Zdroj: Journal of Artificial Intelligence and Soft Computing Research. 10:299-316
ISSN: 2083-2567
DOI: 10.2478/jaiscr-2020-0020
Popis: This paper presents a local modification of the Levenberg-Marquardt algorithm (LM). First, the mathematical basics of the classic LM method are shown. The classic LM algorithm is very efficient for learning small neural networks. For bigger neural networks, whose computational complexity grows significantly, it makes this method practically inefficient. In order to overcome this limitation, local modification of the LM is introduced in this paper. The main goal of this paper is to develop a more complexity efficient modification of the LM method by using a local computation. The introduced modification has been tested on the following benchmarks: the function approximation and classification problems. The obtained results have been compared to the classic LM method performance. The paper shows that the local modification of the LM method significantly improves the algorithm’s performance for bigger networks. Several possible proposals for future works are suggested.
Databáze: OpenAIRE