About
I'm a fourth-year PhD student in the Department of Statistics and Data Science at Carnegie Mellon University, advised by Prof. Aaditya Ramdas.
Previously, I got to learn about mathematics and statistics at the University of Oxford, Sorbonne Université, and Universidade de Santiago de Compostela. I have also done internships on cool machine learning projects at GResearch and CiTIUS.
Education
Background
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2022 — presentCarnegie Mellon University PhD in Statistics and Data Science
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2021 — 2022University of Oxford MSc in Statistical Science
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2017 — 2021University of Santiago de Compostela BSc in Mathematics
Research
What I work on
I'm broadly interested in pushing statistics (both foundational and methodological) to develop new tools for inference and learning in modern settings, as well as in understanding modern deep learning systems (why and how do deep networks work?).
These interests span high-dimensional concentration (how do random infinite-dimensional objects — gradients, functions, embeddings — concentrate?), concentration for complex data structures (random matrices and operators that need not commute, as arise e.g. in neural network initialization), sequential decision-making (working with streams of data rather than fixed datasets, as in bandits), causal inference (when the causal target depends in complex ways on the data, as with distributional treatment effects), and multiple testing (where evidence across hypotheses is often dependent and the number of hypotheses can be very large).
Preprints
Working papers
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Under review
Intrinsic-dimension empirical Bernstein inequalities for bounded self-adjoint operators
Publications
Papers
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Sharp empirical Bernstein bounds for the variance of bounded random variables
International Conference on Machine Learning (ICML), 2026
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Vector-valued self-normalized concentration inequalities beyond sub-Gaussianity
International Conference on Algorithmic Learning Theory (ALT), 2026
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Sequential Kernelized Stein Discrepancy
International Conference on Artificial Intelligence and Statistics (AISTATS), 2025
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Counterfactual Density Estimation using Kernel Stein Discrepancies
International Conference on Learning Representations (ICLR), 2024
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An Efficient Doubly-Robust Test for the Kernel Treatment Effect
Neural Information Processing Systems (NeurIPS), 2023
Contact
Get in touch
diegomar [at] andrew [dot] cmu [dot] edu