Name
Abstract | ||
|---|---|---|
In this paper, we study the auxiliary problems that appear in p-order tensor methods for unconstrained minimization of convex functions with nu-Holder continuous pth derivatives. This type of auxiliary problems corresponds to the minimization of a -order regularization of the pth-order Taylor approximation of the objective. For the case p = 3, we consider the use of Gradient Methods with Bregman distance. When the regularization parameter is sufficiently large, we prove that the referred methods take at most iterations to find either a suitable approximate stationary point of the tensor model or an epsilon-approximate stationary point of the original objective function. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1080/10556788.2020.1731749 | OPTIMIZATION METHODS & SOFTWARE |
Keywords | DocType | Volume |
Unconstrained minimization, high-order methods, tensor methods, Holder condition, worst-case global complexity bounds | Journal | 36 |
Issue | ISSN | Citations |
1 | 1055-6788 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Grapiglia Geovani Nunes | 1 | 0 | 0.34 |
| Yurii Nesterov | 2 | 1800 | 168.77 |