Name
Abstract | ||
|---|---|---|
The problem of finding minima of weakly sequentially lower semicontinuous functions on reflexive Banach spaces is studied by means of convex and nonconvex subdifferentials. Finding a descent direction for a non-stationary point is a question of importance for many optimization algorithms. The existence or non-existence of such a direction is clarified through several theorems and a series of selective examples. For the general problem, a notion called radius of descent is proposed and shown to be useful for the analysis related to descent directions. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10957-015-0774-0 | J. Optimization Theory and Applications |
Keywords | Field | DocType |
Weakly sequentially lower semicontinuous function, Minimization, Subdifferential, Descent direction, Radius of descent, 49J52, 49J53, 90C26, 49J45 | Stochastic gradient descent,Mathematical optimization,Mathematical analysis,Banach space,Regular polygon,Maxima and minima,Descent direction,Subderivative,Minification,Optimization algorithm,Mathematics | Journal |
Volume | Issue | ISSN |
172 | 2 | 1573-2878 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pham Duy Khanh | 1 | 23 | 3.22 |
| Jen-chih Yao | 2 | 504 | 100.09 |
| N. D. Yen | 3 | 104 | 17.57 |