Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/14510
DC Field | Value | |
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dc.title | Smooth convex approximation and its applications | |
dc.contributor.author | SHI SHENGYUAN | |
dc.date.accessioned | 2010-04-08T10:43:54Z | |
dc.date.available | 2010-04-08T10:43:54Z | |
dc.date.issued | 2005-01-31 | |
dc.identifier.citation | SHI SHENGYUAN (2005-01-31). Smooth convex approximation and its applications. ScholarBank@NUS Repository. | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/14510 | |
dc.description.abstract | In this thesis, we consider a smooth convex approximation to the sum of the $\kappa$ largest components. To make it applicable to a wide class of applications, the study is conducted on some minmax problems. Based on a special smoothing technique, we give an efficient scheme for nonsmooth convex function. By using the composite property of $g_{\kappa}(\varepsilon; \cdot)$ and eigenvalue function $\Lambda(X)$, we find the smooth approximate function to the sum of the $\kappa$ largest eigenvalue function. | |
dc.language.iso | en | |
dc.subject | convex optimization, non-smooth optimization, semismooth function, sum of eigenvalues | |
dc.type | Thesis | |
dc.contributor.department | MATHEMATICS | |
dc.contributor.supervisor | SUN DEFENG | |
dc.description.degree | Master's | |
dc.description.degreeconferred | MASTER OF SCIENCE | |
dc.identifier.isiut | NOT_IN_WOS | |
Appears in Collections: | Master's Theses (Open) |
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Thesis.pdf | 261.76 kB | Adobe PDF | OPEN | None | View/Download |
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