Gabriel Rioux

Rioux Thumbnail

Email: ger84 "at" cornell "dot" edu

Office: 657 Frank H. T. Rhodes Hall

About Me

I am a second-year Ph.D. student at Cornell University's Center for Applied Mathematics working under the supervision of Ziv Goldfeld. Previously, I studied at McGill University, earning a B.Sc. in honors Mathematics and Physics in 2019 and a M.Sc. in Mathematics and Statistics in 2020 under the supervision of Prof. Rustum Choksi and Prof. Tim Hoheisel. The subject of my Master's thesis was applying the maximum entropy on the mean method to the problem of image deblurring.

Research Interests

My research interests lie broadly in optimization, partial differential equations, and probability. I am particularly interested in the interplay between these subjects, and hence, have recently been working on problems in optimal transportation.

My most recent work has focused on studying statistical aspects of the Gaussian-smoothed Wasserstein distance, which is a modification of the standard Wasserstein distance obtained by smoothing out the input measures via convolution with a Gaussian measure. By smoothing out local irregularities in the input measures, the smoothed Wasserstein distance breaks the curse of dimensionality in statistical applications intrisic to the unsmoothed distance whilst preserving its useful topological structure.

Publications and Working Papers

Talks

Awards and Fellowships

Teaching