Masashi Sugiyama is an Associate Professor in the Department of Computer Science at the Tokyo Institute of Technology.
Inhaltsangabe
Part I. Density Ratio Approach to Machine Learning: 1. Introduction Part II. Methods of Density Ratio Estimation: 2. Density estimation 3. Moment matching 4. Probabilistic classification 5. Density fitting 6. Density-ratio fitting 7. Unified framework 8. Direct density-ratio estimation with dimensionality reduction Part III. Applications of Density Ratios in Machine Learning: 9. Importance sampling 10. Distribution comparison 11. Mutual information estimation 12. Conditional probability estimation Part IV. Theoretical Analysis of Density Ratio Estimation: 13. Parametric convergence analysis 14. Non-parametric convergence analysis 15. Parametric two-sample test 16. Non-parametric numerical stability analysis Part V. Conclusions: 17. Conclusions and future directions.
Part I. Density Ratio Approach to Machine Learning: 1. Introduction Part II. Methods of Density Ratio Estimation: 2. Density estimation 3. Moment matching 4. Probabilistic classification 5. Density fitting 6. Density-ratio fitting 7. Unified framework 8. Direct density-ratio estimation with dimensionality reduction Part III. Applications of Density Ratios in Machine Learning: 9. Importance sampling 10. Distribution comparison 11. Mutual information estimation 12. Conditional probability estimation Part IV. Theoretical Analysis of Density Ratio Estimation: 13. Parametric convergence analysis 14. Non-parametric convergence analysis 15. Parametric two-sample test 16. Non-parametric numerical stability analysis Part V. Conclusions: 17. Conclusions and future directions.
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