A Novel Inertial Viscosity Algorithm for Bilevel Optimization Problems Applied to Classification Problems

  • Janngam, Kobkoon
  • Suantai, Suthep
  • Cho, Yeol Je
  • Kaewkhao, Attapol
  • Wattanataweekul, Rattanakorn
Citations

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초록

Fixed-point theory plays many important roles in real-world problems, such as image processing, classification problem, etc. This paper introduces and analyzes a new, accelerated common-fixed-point algorithm using the viscosity approximation method and then employs it to solve convex bilevel optimization problems. The proposed method was applied to data classification with the Diabetes, Heart Disease UCI and Iris datasets. According to the data classification experiment results, the proposed algorithm outperformed the others in the literature.

키워드

classification problemsconvex bilevel optimizationforward-backward algorithmEXTREME LEARNING-MACHINEFORWARD-BACKWARD ALGORITHMFIXED-POINTSAPPROXIMATION METHODSMONOTONE-OPERATORS1ST-ORDER METHODCONVERGENCEITERATIONREGRESSIONSHRINKAGE
제목
A Novel Inertial Viscosity Algorithm for Bilevel Optimization Problems Applied to Classification Problems
저자
Janngam, KobkoonSuantai, SuthepCho, Yeol JeKaewkhao, AttapolWattanataweekul, Rattanakorn
DOI
10.3390/math11143241
발행일
2023-07
유형
Article
저널명
Mathematics
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