Pedro Abdalla

Short Bio

I am an Assistant Professor in the Department of Mathematics at the University of Wisconsin–Madison. Previously, I was a postdoctoral researcher in the Department of Mathematics at the University of California, Irvine. I received my Ph.D. in Mathematics from ETH Zürich.

My research focuses on the mathematical foundations of data science, artificial intelligence, statistics, and machine learning, with an emphasis on high-dimensional settings and questions related to non-convex optimization.

Contact: pabdalla@math.wisc.edu

Publications:

Recent Work:

Stable Phase Retrieval for Spans of Independent Random Variables, (with J De Dios Pont, J.P.G Ramos and M. Taylor) .
Robust Uniform Recovery of Structured Signals from Nonlinear Observations, (with R. Balan and J. Chen).
Robust Mean Estimation under Quantization, (with J. Chen)
On the adaptivity of private quantile estimators, (work in progress).

Conference Publications:
Minimum Norm Interpolation Meets the Local Theory of Banach Spaces, (with G. Kur, P. Bizeul and F. Yang). Proceedings of Machine Learning Research, 2024.
Sub-linear Time Stochastic Threshold Group, (with A. Reisizadeh and R. Pedarsani). IEEE Information Theory Workshop (ITW), 2018.
Multilevel Group Testing via Sparse-Graph Codes, (with A. Reisizadeh and R. Pedarsani). 51st Asilomar Conference on Signals, Systems, and Computers, 2017.

For a full list: see arxiv.

Teaching:

Currently:

Undergraduate Linear Algebra (Math 341) - UW Madison

Past:
Please check out my CV for a full list.
List with several problems mathematics of data science .

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