@article{Sae-jia2024, 
author = {Puntita Sae-jia and Suthep Suantai},
title = {A new two-step inertial algorithm for solving convex bilevel optimization problems with application in data classification problems},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8476-8496},
keywords = {accelerated algorithm, two-step inertial algorithm, convex bilevel optimization problem, data classification, noncommunicable diseases},
url = {https://www.sciopen.com/article/10.3934/math.2024412},
doi = {10.3934/math.2024412},
abstract = {In this paper, we propose a new accelerated algorithm for solving convex bilevel optimization problems using some fixed point and two-step inertial techniques. Our focus is on analyzing the convergence behavior of the proposed algorithm. We establish a strong convergence theorem for our algorithm under some control conditions. To demonstrate the effectiveness of our algorithm, we utilize it as a machine learning algorithm to solve data classification problems of some noncommunicable diseases, and compare its efficacy with BiG-SAM and iBiG-SAM.}
}