Ruiyi Yang

Welcome to my homepage!

I am a postdoc in PACM at Princeton University under supervision of Prof. Amit Singer .

Previously, I obtained my Ph.D. in Computational and Applied Mathematics at the University of Chicago in 2022, advised by Prof. Daniel Sanz-Alonso, and a B.S. in Mathematics from UCLA in 2017. My research interests lie broadly in the mathematics of data science, with a particular focus on Gaussian process methodologies, inverse problems, and nonparametric statistics. The overall theme of my research is to design efficient algorithms that have solid mathematical foundations.

Specifically, I have been working at the intersection of Gaussian processes and manifold learning on better modeling and computational tools for applications in statistical inverse problems. In another line of work, I study nonparametric mixture models on methodological development by drawing novel theoretical insights. Starting from my postdoc, I have also worked on mathematical problems arising from cryo-EM.

I am on the 2024-2025 academic job market.