Data-driven methods for partial differential equations

Session

Invited talks 6

Mar 3, 2026, 4:00 PM

Karlsruhe Institute of Technology

Conveners

Invited talks 6

• Mathias Trabs (KIT)

4. Data-Driven Methods to Solve Maxwell's equations

Carsten Rockstuhl

3/3/26, 4:00 PM

Invited talk

Understanding and predicting solutions to Maxwell’s equations lies at the heart of research in optics and photonics. Traditionally, mostly physics-based approaches were used for that purpose, i.e., analytical and, very often, numerical methods. However, over time, we have been accumulating plenty of data on structure-property relations, i.e., we know how a given optical structure responds to...

21. Statistical Guarantees for Denoising Reflected Diffusion Models

Claudia Strauch

3/3/26, 4:45 PM

Invited talk

Denoising diffusion models can be interpreted through stochastic dynamics closely related to time-dependent PDEs, yet their practical implementations often rely on truncation heuristics that lack theoretical justification. We study denoising diffusion models driven by reflected diffusions, which naturally confine the dynamics to bounded domains and remove this mismatch between theory and...