| 摘要 | 第1-7页 |
| Abstract | 第7-9页 |
| Content | 第9-11页 |
| Chapter 1 Introduction | 第11-23页 |
| ·Statistical Learning Theory and Kernel Methods | 第11-12页 |
| ·Empirical Risk Minimization Principle | 第12-15页 |
| ·Kernel-based Regularization and Support Vector Machine | 第15-19页 |
| ·Regularization in reproducing kernel Hilbert space | 第15-17页 |
| ·Learning with kernel-based support vector machine | 第17-19页 |
| ·Kernel-based Learning Algorithms Discussed in this Thesis | 第19-22页 |
| ·Q-norm regularized regression with dependent samples | 第19-20页 |
| ·Coefficient-based regularization | 第20-21页 |
| ·Kernel-based learning for pair-wise ranking | 第21-22页 |
| ·Outline of the Thesis | 第22-23页 |
| Chapter 2 Q-Norm Regularization with Dependent Samples | 第23-37页 |
| ·Introduction to a-Mixing Condition and Preliminaries | 第23-25页 |
| ·Main Results on Learning with Q-Norm Regularization | 第25-27页 |
| ·Error Decomposition and Error Estimation for Q-Norm Regularization | 第27-32页 |
| ·Error decomposition | 第27-28页 |
| ·Estimating sample error involving f_λ | 第28-30页 |
| ·Estimating sample error involving f_z | 第30-32页 |
| ·Improved Learning Rates by Iteration | 第32-37页 |
| Chapter 3 Coefficient-Based Regularization Algorithms | 第37-51页 |
| ·Setting for Coefficient-Based Regularization | 第37-39页 |
| ·Key Analysis and Error Estimates for Coefficient-Based Regularization | 第39-47页 |
| ·Error decomposition for coefficient-based regularization | 第40页 |
| ·Estimating sample error | 第40-44页 |
| ·On empirical covering numbers | 第44-46页 |
| ·Estimating hypothesis error | 第46-47页 |
| ·Deriving Learning Rates | 第47-49页 |
| ·Comparison and Discussion | 第49-51页 |
| Chapter 4 Kernel-based Learning Approach to Ranking Problems | 第51-63页 |
| ·Ranking Problems and Usual Settings | 第51-55页 |
| ·A Different Setting for Ranking Problems | 第55-56页 |
| ·Kernel-based Regularized Ranking Algorithms | 第56-57页 |
| ·Learnability of Kernel-Based Regularized Ranking Algorithms | 第57-60页 |
| ·Estimation of excess generalization error | 第58-59页 |
| ·Bounding mis-ranking error via comparison | 第59-60页 |
| ·Learning to Rank from Preferences | 第60-63页 |
| References | 第63-73页 |
| Acknowledgement | 第73-75页 |
| Publications | 第75页 |
