Pedro Abdalla
Pedro Abdalla
I am a Visiting Assistant Professor at University California Irvine hosted by Roman Vershynin. I am part of the NSF/Simons Collaboration on the Theoretical Foundations of Deep Learning. Previously, I got my PhD in Mathematics at ETH Zürich.
My research focuses on high dimensional phenomena in probability, statistics, machine learning and non-convex optimization.
I am on the academic job market for 2025-2026.
Contact: pabdalla@ad.uci.edu
On sharp stable recovery from clipped and folded measurements, (with D. Freeman, J.P.G. Ramos and M. A. Taylor).
On the Dimension Free Concentration of Simple Tensors via Matrix Deviation , (with R. Vershynin).
LLM Watermarking Using Mixtures and Statistical-to-Computational Gaps , (with R. Vershynin).
Nonconvex Landscapes for Z2 synchronization and graph clustering are benign near exact recovery thresholds , Information and Inference: A Journal of IMA (with A.S Bandeira, N. Boumal and A. McRae).
Minimum Norm Interpolation Meets the Local Theory of Banach Spaces, Proceedings of Machine Learning Research (with P. Bizeul, G. Kur and F. Yang), 2024.
Debiased LASSO under Poisson-Gauss Model, Information and Inference: A Journal of IMA (with G. Kur).
Covariance estimation with direction dependence accuracy, Probability Theory and Related Fields (with Shahar Mendelson).
Covariance estimation under Missing Observations and L4-L2 Moment Equivalence , Electronic Journal of Statistics, 2024.
Expander Graphs are Globally Synchronising (with A. S. Bandeira, M. Kassabov, V. Souza, S. Strogatz and A.Townsend). A nice article from Quanta.
Guarantees for Spontaneous Synchronization on Random Geometric Graphs, SIAM Journal of Applied Dynamical Systems (with A. S. Bandeira and C. Invernizzi), 2024.
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial Corruption and Heavy Tails, Journal of European Mathematical Society (with N. Zhivotovskiy).
Community Detection with a Subsampled Semidefinite Program, Sampling Theory, Signal Processing and Data Analysis (with A. S. Bandeira), 2022.
Robust Sparse Recovery with Sparse Bernoulli Matrices via Expanders, Applied and Computational Harmonic Analysis, 2024.
Dictionary-Sparse Recovery From Heavy-Tailed Measurements (with C. Kümmerle) Information and Inference: A Journal of IMA, 2022.
Sub-linear Time Stochastic Threshold Group Testing, IEEE Information Theory Workshop (ITW) (with R. Pedarsani and A. Reisizadeh), 2018.
Multilevel Group Testing via Sparse-graph Codes Asilomar Conference on Signals, Systems, and Computers (with R. Pedarsani and A. Reisizadeh), 2017.
Lecturer - Multivariable Calculus and Linear Algebra (undergraduate level).
Teaching Assistant - Statistical Learning Theory (Student's Seminar).
Teaching Assistant - Mathematics of Data Science (Master Course).
Course Organiser - Mathematics of Data Science (Master Course).
Course Organiser - Mathematics of Machine Learning (Undergraduate level).