Wu, Xiaoming. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 30-34). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Preliminaries --- p.4 / Chapter 2.1 --- Kernel Learning Theory --- p.4 / Chapter 2.1.1 --- Positive Semidefinite Kernel --- p.4 / Chapter 2.1.2 --- The Reproducing Kernel Map --- p.6 / Chapter 2.1.3 --- Kernel Tricks --- p.7 / Chapter 2.2 --- Spectral Graph Theory --- p.8 / Chapter 2.2.1 --- Graph Laplacian --- p.8 / Chapter 2.2.2 --- Eigenvectors of Graph Laplacian --- p.9 / Chapter 2.3 --- Convex Optimization --- p.10 / Chapter 2.3.1 --- From Linear to Conic Programming --- p.11 / Chapter 2.3.2 --- Second-Order Cone Programming --- p.12 / Chapter 2.3.3 --- Semidefinite Programming --- p.12 / Chapter 3 --- Fast Graph Laplacian Regularized Kernel Learning --- p.14 / Chapter 3.1 --- The Problems --- p.14 / Chapter 3.1.1 --- MVU --- p.16 / Chapter 3.1.2 --- PCP --- p.17 / Chapter 3.1.3 --- Low-Rank Approximation: from SDP to QSDP --- p.18 / Chapter 3.2 --- Previous Approach: from QSDP to SDP --- p.20 / Chapter 3.3 --- Our Formulation: from QSDP to SQLP --- p.21 / Chapter 3.4 --- Experimental Results --- p.23 / Chapter 3.4.1 --- The Results --- p.25 / Chapter 4 --- Conclusion --- p.28 / Bibliography --- p.30
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327377 |
| Date | January 2011 |
| Contributors | Wu, Xiaoming., Chinese University of Hong Kong Graduate School. Division of Information Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, viii, 34 p. : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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