Academic Journal
New Douglas-Rashford Splitting Algorithms for Generalized DC Programming with Applications in Machine Learning: New Douglas-Rashford splitting algorithms for generalized DC programming with applications in machine learning
| Τίτλος: | New Douglas-Rashford Splitting Algorithms for Generalized DC Programming with Applications in Machine Learning: New Douglas-Rashford splitting algorithms for generalized DC programming with applications in machine learning |
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| Συγγραφείς: | Yonghong Yao, Lateef O. Jolaoso, Yekini Shehu, Jen-Chih Yao |
| Πηγή: | Journal of Scientific Computing. 103 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Springer Science and Business Media LLC, 2025. |
| Έτος έκδοσης: | 2025 |
| Θεματικοί όροι: | machine learning, Numerical mathematical programming methods, DC programming, Nonlinear programming, Optimization and Control (math.OC), nonconvex optimization, Learning and adaptive systems in artificial intelligence, FOS: Mathematics, Nonconvex programming, global optimization, Douglas-Rachford splitting algorithm, Mathematics - Optimization and Control |
| Περιγραφή: | In this work, we propose some new Douglas-Rashford splitting algorithms for solving a class of generalized DC (difference of convex functions) in real Hilbert spaces. The proposed methods leverage the proximal properties of the nonsmooth component and a fasten control parameter which improves the convergence rate of the algorithms. We prove the convergence of these methods to the critical points of nonconvex optimization under reasonable conditions. We evaluate the performance and effectiveness of our methods through experimentation with three practical examples in machine learning. Our findings demonstrated that our methods offer efficiency in problem-solving and outperform state-of-the-art techniques like the DCA (DC Algorithm) and ADMM. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Γλώσσα: | English |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-025-02900-6 |
| DOI: | 10.48550/arxiv.2404.14800 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2404.14800 |
| Rights: | Springer Nature TDM CC BY |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....1ad6a271c23c8b830f3e54ca845fdd9d |
| Βάση Δεδομένων: | OpenAIRE |
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