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.