Each lecture summary below provides a brief description of the topics covered, as well as a list of suggested readings for more in-depth exploration. The slide presentations from many of the lectures are also included.
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  |  |  |   | 1 |  |  |  | The Course at a Glance Summary (PDF) |  |   |  |  |   |  |  |   | 2 |  |  |  | The Learning Problem in Perspective Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 3 |  |  |  | Regularization and Reproducing Kernel Hilbert Spaces Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 4 |  |  |  | Regression and Least-Squares Classification Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 5 |  |  |  | Support Vector Machines for Classification Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 6 |  |  |  | Generalization Bounds, Introduction to Stability Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 7 |  |  |  | Stability of Tikhonov Regularization Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 8 |  |  |  | Consistency and Uniform Convergence Over Function Classes Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 9 |  |  |  | Necessary and Sufficient Conditions for Uniform Convergence Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 10 |  |  |  | Bagging and Boosting Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 11 |  |  |  | Computer Vision, Object Detection Summary (PDF) |  |   |  |  |   |  |  |   | 12 |  |  |  | Loose Ends |  |   |  |  |   |  |  |   | 13 |  |  |  | Approximation Theory Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 14 |  |  |  | RKHS, Mercer Thm, Unbounded Domains, Frames and Wavelets Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 15 |  |  |  | Bioinformatics Summary (PDF) |  |   |  |  |   |  |  |   | 16 |  |  |  | Text Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 17 |  |  |  | Regularization Networks Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 18 |  |  |  | Morphable Models for Video Summary (PDF) |  |   |  |  |   |  |  |   | 19 |  |  |  | Leave-one-out Approximations Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 20 |  |  |  | Bayesian Interpretations Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 21 |  |  |  | Multiclass Classification Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | 22 |  |  |  | Stablity and Glivenko-Cantelli Classes |  |   |  |  |   |  |  |   | 23 |  |  |  | Symmetrization, Rademacher Averages |  |   |  |  |   |  |  |   | Math Camp |  |  |  | Math Camp 1: Functional Analysis Summary (PDF) Slides (PDF) |  |   |  |  |   |  |  |   | Math Camp |  |  |  | Math Camp 2: Lagrange Multipliers/Convex Optimization Summary (PDF) |  |   |  |  |   |  |  |   | Extra Topic |  |  |  | SVM Rules of Thumb Summary (PDF) |  |   |  |  |  
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