Nicola Aladrah Physics & Machine learning

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I work on the theoretical foundations of machine learning.

Currently, my research focuses on the role of symmetry and geometry in learning dynamics and model generalization. Using methods from statistical physics, I study gradient-based learning algorithms and investigate how they select specific predictors among many equivalent parameterizations of the same model.

I am interested in discussions and collaborations on theoretical machine learning, statistical physics, and geometric approaches to learning.

Publications

Preprints

PAC-Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors
N. Aladrah, F. Anselmi
Understanding and inverse design of implicit bias in stochastic learning: a geometric perspective
N. Aladrah, E. Ballarin, M. Biagetti, A. Ansuini, A. d'Onofrio, F. Anselmi

Theses

N. Aladrah
Professional master's thesis (2026) — Supervisor: C. Laurent, S. Silvestri — In collaboration with Istituto nazionale di oceanografia e di geofisica sperimentale (OGS)
N. Aladrah
Master's thesis (2023) — Supervisor: P. Putrov
Relativistic density functional theory calculations of spectroscopic constants for diatomic molecules (AgBr, AgF)
N. Aladrah
Master of Science thesis (2022) — Supervisor: A. Almoukhalalati

Curriculum Vitae

You can view or download my complete professional curriculum vitae using the link below.

Download CV (PDF)

Talks & Presentations

Sep 2026
Mathematical Foundations of AI: The Erlangen Hub Conference Poster — "Understanding and inverse design of implicit bias in stochastic learning: a geometric perspective" University of Oxford, Oxford, United Kingdom. link
July 2026
Advanced School in Applied Machine Learning: Uncertainty and Robustness of DL Models for Science International Center for Theoretical Physics (ICTP), Trieste, Italy. link
June 2026
ICTP-INdAM-SLMath Summer Graduate School for Machine Learning Poster — "Implicit bias in overparameterized models as a gauge correction." International Center for Theoretical Physics (ICTP), Trieste, Italy. link
Feb 2026
IX International Workshop on Information Geometry, Quantum Mechanics and Applications Invited talk — "Implicit bias in overparameterized models as a gauge correction." Institute of Mathematical Sciences (ICMAT), Madrid, Spain. link slides
Jul 2025
Advanced School on Foundation Models for Scientific Discovery International Center for Theoretical Physics (ICTP), Trieste, Italy. link