MATH 216B
Mathematical Methods in Data Science II
This is the second course in a three-course sequence in mathematical methods in data science. Topics include analysis on graphs, random walks and diffusion geometry for uniform and non-uniform sampling, eigenvector perturbation, multi-scale analysis of data, concentration of measure phenomenon, binary embeddings, quantization, topic modeling, and geometric machine learning, as well as scientific applications. Some scientific programming experience is recommended. Prerequisites: MATH 216A. Students who have not completed MATH 216A may enroll with consent of instructor.
Topics
- analysis on graphs
- random walks and diffusion geometry for uniform and non-uniform sampling
- eigenvector perturbation
- multi-scale analysis of data
- concentration of measure phenomenon
- binary embeddings
- quantization
- topic modeling
- and geometric machine learning
- as well as scientific applications
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027