**Rahul Parhi**

Postdoctoral Researcher

Biomedical Imaging Group

Institute of Electrical and Micro Engineering

École Polytechnique Fédérale de Lausanne

Lausanne, Switzerland

`rahul@parhi.com`

I am currently a postdoctoral researcher with the Biomedical Imaging Group at the École Polytechnique Fédérale de Lausanne (EPFL), where I am supervised by Michael Unser.

**I am joining the Department of Electrical and Computer Engineering at the University of California, San Diego (UCSD) as an Assistant Professor in Fall 2024.**

In July 2022, I defended my Ph.D. in Electrical Engineering at the University of Wisconsin–Madison, where I was supervised by Robert D. Nowak. There, my dissertation received the Harold Peterson Outstanding Dissertation Award. During my Ph.D., I was supported by an NSF Graduate Research Fellowship.

I am generally interested in topics that lie at the interface between functional/harmonic analysis and the data sciences. My primary area of investigation is in the development of the mathematical foundations of **neural networks** and **deep learning** with the goal of understanding:

- What is the effect of regularization in deep learning?
- What kinds of functions do neural networks learn?
- Why do neural networks seemingly break the curse of dimensionality?

My research uses tools from mathematical signal processing, functional/harmonic analysis, nonparametric statistics, and nonlinear approximation theory to answer these questions.

Other topics/keywords that catch my attention include **computed tomography**, **inverse problems**, **sparsity**, **splines**, **time–frequency analysis**, and **wavelets**.

For more information, you can take a look at some of my papers.

If you would like to know more about me (because I’m such an interesting person), feel free to look at my résumé.