التفاصيل البيبلوغرافية
| العنوان: |
Sharp, strong and unique minimizers for low complexity robust recovery |
| المؤلفون: |
Fadili, Jalal, Nghia, Tran T. A., Tran, Trinh T. T. |
| سنة النشر: |
2021 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Optimization and Control |
| الوصف: |
In this paper, we show the important roles of sharp minima and strong minima for robust recovery. We also obtain several characterizations of sharp minima for convex regularized optimization problems. Our characterizations are quantitative and verifiable especially for the case of decomposable norm regularized problems including sparsity, group-sparsity, and low-rank convex problems. For group-sparsity optimization problems, we show that a unique solution is a strong solution and obtain quantitative characterizations for solution uniqueness. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2111.05444 |
| رقم الانضمام: |
edsarx.2111.05444 |
| قاعدة البيانات: |
arXiv |