Academic Catalog

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.