> ayoub_ arcade
incoming PhD researcher · CMAP

Ayoub Oulad Ali

Applied Mathematics × Machine Learning.
I build mathematically grounded AI for scientific and medical imaging, with a focus on Generative AI and Physics-Informed Machine Learning.

Generative AIPhysics-Informed MLMedical Imaging

BONUS The portfolio hides a playable retro handheld. Insert the coin.

player_01.sprite ONLINE
Full-body pixel-art avatar of Ayoub Oulad Ali
LV. PHD

Between mathematics,
physics and learning.

I am an Applied Mathematics graduate student at Sorbonne Université and an incoming PhD researcher at École Polytechnique (CMAP). My research blends Applied Mathematics with Scientific Machine Learning and Generative AI to advance Medical Imaging and computational imaging methods.

I focus on Physics-Informed Machine Learning and generative modeling that encode physical structure and uncertainty, enabling robust solutions in low-data clinical and scientific environments.

MScApplied Mathematics
Sorbonne Université
CMAPÉcole Polytechnique
Research
AI × PhysicsScientific ML
Computational Imaging

Current research

2026École Polytechnique · CMAP

Physics-informed generative models for Mueller polarimetric imaging

Deep learning for biomedical polarimetric imaging, with a focus on robust and interpretable methods in low-data clinical settings.

  • Deep generative architectures for Mueller matrix modelling
  • Synthetic data generation for small clinical datasets
  • Physical constraints: positivity and Mueller matrix realizability
  • Uncertainty-aware learning and geometry-aware label smoothing
  • Physically consistent representation learning

Research interests

VAEsDiffusion ModelsRepresentation Learning Scientific MLBayesian Deep LearningComputer Vision Uncertainty QuantificationExplainable AIProbabilistic Modeling

Teaching
2026–27

course select ↗

Three teaching assignments across statistics, Monte Carlo methods and machine learning. Each course has a dedicated retro cartridge page for future TD, TP and correction resources.

APM_41033_EPAPM_51056_EPAPM_51434_EP

GitHub projects

all repositories ↗

A curated view of public research code in generative modeling, machine learning, applied mathematics and scientific computing. Open the dedicated projects page ↗

Academic path

PhD Research · CMAP

École Polytechnique

M2 · Applied Mathematics

Sorbonne Université

M1 · Applied Mathematics

Sorbonne Université

BSc · Mathematics & Computer Science

Université de Nîmes

Tools & topics

research_stack.sh
$ cat stack.txt

ML          PyTorch · Generative Models · JEPA · GNNs
Research    Physics-Informed ML · Medical Imaging
Methods     Bayesian DL · Uncertainty · Representation Learning
Focus       Robustness · Interpretability · Data Efficiency

$ 

Let's build something
scientifically useful.

Open to research collaborations around generative AI, scientific machine learning and computational imaging.