Ömer Deniz Akyıldız

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Stochastic Simulation

Completely redesigned

A core third- and fourth-year course on simulation methods, covering exact random-variate generation, Monte Carlo integration and Markov chain Monte Carlo, with worked implementations alongside the notes.

Taught: Spring 2025–26; Autumn 2024–25, 2023–24 and 2022–23

Advanced Simulation Methods

A compact MSc treatment of importance sampling and MCMC, then Kalman and particle filtering.

Taught: Spring 2024–25 · MSc, Imperial College London

Advanced Computational Methods in Statistics

From rejection and importance sampling through Langevin Monte Carlo and score-based generative models to particle filters and parameter learning in state-space models.

Taught: Autumn 2024–25 and 2023–24 · London Taught Course Centre (LTCC)

Probability and Statistics

From direct simulation and importance weighting to Metropolis–Hastings, Langevin dynamics, and Kalman and particle filtering.

Taught: Autumn 2024–25 · Mathematics for our Future CDT

Generative Models

A compact PhD-level course on energy-based models, score matching, diffusion models, and variational autoencoders.

Taught: Spring–Summer 2023–24 · StatML CDT optional module, with George Deligiannidis

Supervised Learning

Taught: Spring 2023–24 · MLDS