Work

A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening

Year: 2024

Type: article

Abstract: This paper proposes a bi-inertial Mann projective forward-backward splitting algorithm to solve the variational inclusion problem in real Hilbert spaces. We establish a weak convergence result under mild conditions commonly used in convergence analysis. Additionally, we present a series of numerical experiments to demonstrate the efficiency of our algorithm compared to existing methods. Finally, we applied our algorithm to classify data using the lung cancer dataset, achieving the highest testing accuracy of 90.32\%, surpassing other documented algorithms. Our results indicate that the proposed algorithm offers a practical solution for detecting lung cancer.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.038.02.04

Authors: P. Peeyada, W. Cholamjiak, K. Shiangjen

Institution: University of Phayao

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Council of Thailand, University of Phayao, Thailand Science Research and Innovation

Awards: G2585011271, G3329176845, G4373631130, G5237832102, G5728737743