Below are some notes I wrote as a graduate student while (for a brief time) working with Partha Niyogi at the University of Chicago. Partha recently passed away, and I wanted to put these notes in a more public place.
I never knew him terribly well, but talking with and learning from Partha was really a great pleasure for me. Thank you, Partha.
why I like what I think about at work
Using the geometric structure of data for learning, how heat generalizes Fourier series