IAM775 REPRODUCING KERNEL HILBERT SPACES WITH APPLICATIONS
| Course Code: |
9700775 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Institute Of Applied Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
Prof.Dr. ÖMÜR UÐUR |
| Offered Semester: |
Fall and Spring Semesters. |
Course Content
Preparations: Linear Transformations and Matrices. Projections. Basics of Optimisation; Introduction: Finite-Dimensional RKHS. Normed. Metric. Inner Product and Hilbert Spaces; Concepts: Reproducing Kernel Hilbert Spaces. Kernels and kernel Computations; Applications in Machine Learning: Regression and Data Fitting. Classification. Maximum Mean Discrepancy (MMD). Hilbert-Schmidt Independence Criterion (HSIC); Gaussian Processes and Functional Data Analysis; Applications for Differential and Integral Equations: Ordinary. Partial and Integral Equations.
