Relaxed Inertial Projective Forward-backward Splitting Algorithms for Regularized Least Square Problems

Authors

  • Watcharaporn Cholamjiak School of Science, University of Phayao, Thailand
  • Hemen Dutta Department of Mathematics, Gauhati University, India

DOI:

https://doi.org/10.7546/CRABS.2024.04.03

Keywords:

inertial technique, projective method, regularized least square problem, forward-backward splitting algorithm, variational inclusion problems

Abstract

This study presents flexible conditions of the inertial extrapolation parameter for easy implementation that is added to the algorithm in faster convergence. Modified inertial forward-backward splitting algorithms for solving variational inclusion problems are introduced to apply to solve the LASSO problem for image restoration and signal recovery, and the elastic net model for classification problem. Projection methods are used in the final step for narrowing down the search field, resulting in a better solution.

Author Biographies

Watcharaporn Cholamjiak, School of Science, University of Phayao, Thailand

Mailing Address:
School of Science,
University of Phayao,
Phayao 56000, Thailand

E-mail: watcharaporn.ch@up.ac.th

Hemen Dutta, Department of Mathematics, Gauhati University, India

Mailing Address:
Department of Mathematics,
Gauhati University,
Guwahati-781014, India

E-mail: hemen_dutta08@rediffmail.com

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Published

26-04-2024

How to Cite

[1]
W. Cholamjiak and H. Dutta, “Relaxed Inertial Projective Forward-backward Splitting Algorithms for Regularized Least Square Problems”, C. R. Acad. Bulg. Sci. , vol. 77, no. 4, pp. 496–503, Apr. 2024.

Issue

Section

Mathematics