MATH 4220X: Mathematical Principles of Data Science
(Cross-listed with DS 4220X).
Credits: 3. Contact Hours: Lecture 3.
Mathematical foundations of algorithms in data science. Topics include Riemann-Stieltjes integration, Riesz-Markov theorem, Stone-Weierstrass theorem, Universal Approximation theorem, reproducing kernel Hilbert spaces, Cauchy and Fourier kernels, convergence of clustering algorithms, and topological persistence. (Typically Offered: Spring)