تقرير
Note on Steepest Descent Algorithm for Quasi L$^{\natural}$-convex Function Minimization
| العنوان: | Note on Steepest Descent Algorithm for Quasi L$^{\natural}$-convex Function Minimization |
|---|---|
| المؤلفون: | Murota, Kazuo, Shioura, Akiyoshi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Mathematics - Combinatorics, 52A41, 90C27, 90C25 |
| الوصف: | We define a class of discrete quasi convex functions, called semi-strictly quasi L$^{\natural}$-convex functions, and show that the steepest descent algorithm for L$^{\natural}$-convex function minimization also works for this class of quasi convex functions. The analysis of the exact number of iterations is also extended, revealing the so-called geodesic property of the steepest descent algorithm when applied to semi-strictly quasi L$^{\natural}$-convex functions. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.11491 |
| رقم الأكسشن: | edsarx.2307.11491 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |