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Strong Convergence of a Modified Extragradient Algorithm to Solve Pseudomonotone Equilibrium and Application to Classification of Diabetes Mellitus

Chaos, solitons & fractals/Chaos, solitons and fractals(2023)

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Abstract
This work studies pseudomonotone equilibrium problems. The modified inertial viscosity subgradient extragradient is proposed for obtaining strong convergence, and it is proved under the assumption that the bifunction satisfies the Lipchitz-type condition. Flexible use of different stepsize parameters is offered. Moreover, the proposed algorithm is applied to solve diabetes mellitus classification problems. The algorithm’s efficiency is shown by comparing with many existing methods with 80.3% high accuracy. The training-validation loss and accuracy plots are presented to consider our good model fitting.
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Key words
Strong convergence,Subgradient extragradient algorithm,Pseudomonotone equilibrium problem,Data classification problem
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