Research

Publications, preprints, and software

My research focuses on the mathematical foundations of generative modeling, with particular interest in extending diffusion and flow-based methods to general state spaces—including text, sequences, and multi-modal data.

Foundations of Diffusion Models in General State-Spaces

A Self-Contained Introduction

with Tobias Höppe, Kirill Neklyudov, Alexander Tong, Stefan Bauer, Andrea Dittadi

A comprehensive unified foundation of diffusion models on general state spaces, connecting discrete/continuous time and discrete/continuous data.

preprint diffusion theory

arXiv · PDF

UNI-D²: Unified Codebase for Discrete Diffusion

with Kalyan Varma Nadimpalli (co-first), Ferdinand Kapl, Amir Mohammad Karimi-Mamaghan, Alexander Tong, Andrea Dittadi, Stefan Bauer

The first unified codebase for training large diffusion language models, enabling reproducible research in discrete diffusion.

software open-source diffusion

GitHub · Documentation


  • Reading — Books that shape how I think
  • Blog — Notes and thoughts on generative modeling
  • About — More about my background and interests
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