Publications

Journal Articles

• Theoretical Guarantees for the Statistical Finite Element Method
  • SIAM/ASA Journal on Uncertainty Quantification
  • Authors: Yanni Papandreou, Jon Cockayne, Mark Girolami, Andrew B. Duncan
  • 🔗 PDF: A pdf version () can be found here.
  • 🔗 Code: The code for this paper is publicly available here.

Conference Papers

• Random Grid Neural Processes for Parametric Partial Differential Equations
  • Proceedings of the 40th International Conference on Machine Learning
  • Authors: Arnaud Vadeboncoeur, Ieva Kazlauskaite, Yanni Papandreou, Fehmi Cirak, Mark Girolami, Ömer Deniz Akyildiz
  • 🔗 PDF: A version can be found here.

Theses

• Bayesian uncertainty quantification for PDE models: new perspectives on inference and dimension reduction
  • PhD Thesis | Imperial College London
  • Supervisors: Dr Andrew B. Duncan, Dr Jon Cockayne
  • 🔗 PDF: A version can be found here.
  • 🔗 Code: Code associated with this thesis can be found at the following GitHub repositories:
    • statFEM_analysis
    • grassgp
• Kernel-Based Inference Methods for Ordinary Differential Equations
  • MSc Thesis | Imperial College London
  • Supervisors: Dr Andrew B. Duncan
  • 🔗 PDF/Code: A pdf version of this thesis, together with some code, can be found in the GitHub repository here.