Heart disease detection using inertial Mann relaxed $ CQ $ algorithms for split feasibility problems

Author:

Suantai Suthep1,Peeyada Pronpat2,Fulga Andreea3,Cholamjiak Watcharaporn2

Affiliation:

1. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

2. School of Science, University of Phayao, Phayao 56000, Thailand

3. Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania

Abstract

<abstract><p>This study investigates the weak convergence of the sequences generated by the inertial relaxed $ CQ $ algorithm with Mann's iteration for solving the split feasibility problem in real Hilbert spaces. Moreover, we present the advantage of our algorithm by choosing a wider range of parameters than the recent methods. Finally, we apply our algorithm to solve the classification problem using the heart disease dataset collected from the UCI machine learning repository as a training set. The result shows that our algorithm performs better than many machine learning methods and also extreme learning machine with fast iterative shrinkage-thresholding algorithm (FISTA) and inertial relaxed $ CQ $ algorithm (IRCQA) under consideration according to accuracy, precision, recall, and F1-score.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference43 articles.

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2. P. K. Anh, N. T. Vinh, V. T. Dung, A new self-adaptive CQ algorithm with an application to the LASSO problem, J. Fixed Point Theory Appl., 20 (2018), 142. https://doi.org/10.1007/s11784-018-0620-8

3. Q. H. Ansari, A. Rehan, Split feasibility and fixed point problems, In: Nonlinear analysis, New Delhi: Birkhäuser, 2014,281–322. https://doi.org/10.1007/978-81-322-1883-8_9

4. K. Aravinthan, M. Vanitha, A comparative study on prediction of heart disease using cluster and rank based approach, International Journal of Advanced Research in Computer and Communication Engineering, 5 (2016), 421–424.

5. A. Beck, M. Teboulle, A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM J. Imaging Sci., 2 (2009), 183–202. https://doi.org/10.1137/080716542

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